A dieter lifting a 10 kg mass 1000 times to a height of 0.5m each time does 49.05 J of work per lift, resulting in the total amount of work done and fat burned is calculated by total amount of energy.
(a) The amount of work done against the gravitational force is calculated by using the formula:
W = m*g*h
where m is the mass,
g is the acceleration due to gravity, and
h is the height.
The person lifts a 10 kg mass to a height of 0.5 meters, so the work done each time is:
[tex]W = (10 kg) * (9.8 m/s^2) * (0.5 m) = 49 Joules.[/tex]
The total work done against the gravitational force is:
[tex]W_{total}= (49 J) * (1000) = 49,000 J.[/tex]
(b) To calculate the amount of fat burned, we need to find the total amount of energy expended and divide it by the efficiency rate and the energy per kilogram of fat.
The total amount of energy expended by the person is:
[tex]E_{total} = W_{total} = 49,000 J.[/tex]
The efficiency rate is 20%, which means that 20% of the expended energy is converted to mechanical energy.
The energy per kilogram of fat is [tex]3.8*10^7[/tex] Joules/kg.
Therefore, the amount of fat burned is:
Fat burned = [tex]E_{total}[/tex] / (efficiency rate * energy per kg of fat)
Fat burned = 49,000 J / (0.2 * 3.8 x 10⁷ J/kg)
Fat burned = 0.0645 kg of fat (or 64.5 grams of fat).
So, the person will burn approximately 64.5 grams of fat by lifting a 10 kg mass 1000 times to a height of 0.5 meters each time.
Also the total work done against gravitational force is 49,000J.
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a force of pounds is required to hold a spring stretched 0.3 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?
A force of 7 pounds is needed to maintain a spring stretched 0.4 feet beyond its natural period. A 8.575 foot-pounds work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length.
Work done:
W = F x d
where F is force applied and d distance of the movement from problem statement we have
d = 0.7 ft
We additionally know that the spring became stretched 0.4 ft whilst a force of 7 pounds turned into carried out consequently k the regular of the spring is
F = K x s
k = F/s
⇒ k = 7/0.4
⇒ k = 17.5 pounds/feet
Now to transport from unique condition of the spring as much as 0.7 feet we want a force of
F = k x s
⇒ F = 17,5 pounds/feet * 0.7 feet
⇒ F = 12.25 pounds
And finally the work
W = 12.25 x 0.7 = 8.575 foot-pounds
W = 8.575 foot-pounds
Force is a fundamental concept in physics that describes the influence that one object has on another, causing it to accelerate or change its state of motion. Force can be defined as a push or pull on an object resulting from the interaction between two or more objects. It is measured in units of Newtons (N).
The force acting on an object can be influenced by a variety of factors, including the mass of the object, the velocity of the object, and the nature of the interaction between the objects. Forces can be categorized as contact forces or non-contact forces. Contact forces involve direct physical contact between two objects, while non-contact forces act at a distance and are mediated by fields such as electromagnetic or gravitational fields.
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Complete Question: -
A force of 7 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?
a sequence of equally spaced timing pulses may be easily generated by which type of counter circuit?
A sequence of equally spaced timing pulses may be easily generated by a 'Ring counter circuit.'
A ring counter is a shift register (a cascade connection of flip-flops) with the output of the last flip-flop connected to the input of the first flip-flop. A ring counter is known as a circular shift register, that is, the output of the last flip-flop is connected to the input of the first flip-flop, with the structure of a shift register.
The most important benefit of a ring counter circuit is that it produces a series of equally spaced timing pulses, as well as reducing the complexity of the circuit. A Ring Counter is used to generate a repetitive pulse sequence, also known as a 'circular shift register,' which is used in digital circuits to store and transfer binary data.
It is a register with a clock input signal that can be either asynchronous or synchronous, depending on the application.
Therefore, the sequence of equally spaced timing pulses can be generated by a ring counter circuit.
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is the transfer of information between two or more points that are not connected by an electrical conductor?
Yes, the transfer of information between two or more points that are not connected by an electrical conductor is possible and is referred to as wireless communication.
Wireless communication involves the use of electromagnetic waves such as radio waves, microwaves, and infrared waves, to transmit data between two points without the need for physical contact or connection.
Wireless communication is used in various fields, such as broadcasting, radio communication, mobile communication, satellite communication, and Internet access. Wireless communication technology has revolutionized communication and enabled a wide range of applications, from wireless microphones to Wi-Fi networks, GPS tracking systems, Bluetooth connectivity, and cellular communication.
Wireless communication is an important component of the modern world and will continue to play a major role in the advancement of communication technology.
Therefore, the transfer of information between two or more points that are not connected by an electrical conductor is possible and is done through wireless communication.
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The weather forecaster predicts that today's high will be 85. Which temperature scale is being used?
The Fahrenheit scale is most likely in use.
What is temperature?The average kinetic energy of the particles in a substance or object is measured by its temperature. It is a physical measure that expresses how hot or cold an object is in relation to a standard. Although Fahrenheit (°F) or Celsius (°C) are more frequently used to measure temperature than the SI unit of Kelvin (K), respectively.
The freezing and boiling points of the Fahrenheit scale, which is frequently used in the US, are 32°F and 212°F, respectively. In contrast, most other countries of the world use the Celsius scale, which has freezing and boiling values of 0°C and 100°C, respectively. The freezing and boiling points of the Kelvin scale, which is used to measure temperature, are 273.15 K and 373.15 K, respectively.
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What is the transfer of thermal energy away from an object called?
Answer:
convection is the answer
Explanation:
good luck on your assignment <3
which of the following statements are true of the quantity mass? list all that apply. a. the mass of an object is dependent upon the value of the acceleration of gravity. b. the standard metric unit of mass is the kilogram. c. mass depends on how much stuff is present in an object. d. the mass of an object is variable and dependent upon its location. e. an object would have more mass on the top of mount everest than the same object at the foot of the mountain. f. people in weight watcher's are really concerned about their mass (they're mass watchers). g. the mass of an object can be measured in pounds. h. if all other variables are equal, then an object with a greater mass would have a more difficult time accelerating. i. if all other variables are equal, then it would require less exerted force to stop a less massive object than to stop a more massive object. j. the mass of an object is mathematically related to the weight of the object.
The statement F. "people in weight watcher's are really concerned about their mass (they're mass watchers)" is incorrect and the statement G. "the mass of an object can be measured in pounds" is also incorrect, as mass is typically measured in kilograms or grams.
The following statements are true of the quantity mass: a. the mass of an object is dependent upon the value of the acceleration of gravity; b. the standard metric unit of mass is the kilogram; c. mass depends on how much stuff is present in an object; d. the mass of an object is variable and dependent upon its location; e. an object would have more mass on the top of mount everest than the same object at the foot of the mountain; h. if all other variables are equal, then an object with a greater mass would have a more difficult time accelerating; i. if all other variables are equal, then it would require less exerted force to stop a less massive object than to stop a more massive object; and j. the mass of an object is mathematically related to the weight of the object.
The statement "people in weight watcher's are really concerned about their mass (they're mass watchers)" is incorrect and the statement "the mass of an object can be measured in pounds" is also incorrect, as mass is typically measured in kilograms or grams.
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A wheel and axle is like a screw.
A- True
B- False
a patent clerk in a spaceship observes that time on the clock of an astronaut on a spaceship passing at 0.25c runs slower than does time on his own clock. this phenomenon is called
The phenomenon that occurs when the time on the clock of an astronaut on a spaceship passing at 0.25c runs slower than does time on a patent clerk's clock is called time dilation.
Time dilation:Time dilation is a phenomenon in which time passes at a slower rate for an observer in relative motion compared to a stationary observer, as predicted by the theory of relativity.
It also is a consequence of the theory of relativity, which predicts that time appears to run slower for objects that are moving relative to an observer.
In this case, the astronaut's clock appears to be running slower than the patent clerk's clock because the astronaut is moving relative to the patent clerk.
This effect becomes more pronounced as the speed of the spaceship approaches the speed of light.
At speeds close to the speed of light, time dilation becomes significant and can have practical implications, such as the need for correction factors in GPS systems that account for the time dilation effects of satellites in orbit.
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a 1000-kg automobile enters a freeway on-ramp at 20 m/s and accelerates uniformly up to 40 m/s in a time of 10 seconds. how far does the automobile travel during that time?
The automobile will travel for 300 m during that time. The result is obtained by using the formula for uniformly accelerated motion.
Uniformly Accelerated MotionThe equations apply in uniformly accelerated motion in horizontal dimension are
v₁ = v₀ + at
v₁² = v₀² + 2ax
x = v₀t + ½ at²
Where
v₀ = initial velocityv₁ = final velocitya = accelerationt = timex = distanceWe have
m = 1000 kgv₀ = 20 m/sv₁ = 40 m/st = 10 sFind the distance that the automobile travel during that time!
From that information, we can find the acceleration.
a = (v₁ - v₀)/t
a = (40 - 20)/10
a = 2 m/s²
The distance will be
x = v₀t + ½ at²
x = 20(10) + ½ (2)(10)²
x = 200 + 100
x = 300 m
Hence, that time the automobile will reach the distance of 300 m.
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Using this circuit below, find the Norton's equivalent circuit about terminals a and b. Req and leg are the equivalent resistance and current used in the Norton's equivalent ciruict. V1 = 10 V, R1 = 4ohms, R2 = 8ohms „R₃ = 8ohms Select one: a. leq = -2.5 A, Req = 2 ohms b. leq = 2.5 A, Req = 2 ohms c. leq = 2.5 A, Req = 64 ohms d. leq = -2.5 A, Req = 12.8 ohms
The Norton's equivalent circuit and equivalent resistance of the given circuit is leq = 2.5 A, Req = 2 ohms. The correct answer is option b.
Norton's equivalent current, iNorton is calculated by dividing the voltage source by the series resistance of R2 and R3.
iNorton = V1 / (R2 + R3)
iNorton = 10 / (8 + 8)
iNorton = 0.625 A
Norton's equivalent resistance, RNorton is calculated by using the formula;
RNorton = R2 || R3
RNorton = (R2 x R3) / (R2 + R3)
RNorton = (8 x 8) / (8 + 8)RNorton = 4 ohms
Therefore, Norton's equivalent circuit is given by the current source of 0.625 A and the resistance of 4 ohms, connected across terminals a and b. The correct answer is option B; leq = 2.5 A, Req = 2 ohms.
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a cable that weighs 4 lb/ft is used to lift 550 lb of coal up a mine shaft 550 ft deep. find the work done.
A cable that weighs 4 lb/ft is used to lift 550 lb of coal up a mine shaft 550 ft deep. The work done is 302500 joules (J).
Given the following data:
A cable that weighs 4 lb/ft is used to lift 550 lb of coal up a mine shaft 550 ft deep.
The formula to calculate the work done is,
Work Done (W) = Force (F) × Distance (D)
Where, Force (F) = Weight of Coal lifted, Distance (D) = Height of mine shaft
We are supposed to find the work done.
Hence, we will substitute the values in the above formula to calculate the work done.
W = 550 × 550W
= 302500 Units of Work
The units of work is in lb-ft which is equivalent to joules.
Hence the work done is 302500 joules (J).
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the boundary between two adjacent air masses is called the boundary between two adjacent air masses is called an air strip. a front. entrainment. adiabatic.
A front is the line separating two contiguous air masses. Two air masses having differing characteristics, such as temperature, humidity, and density, collide and interact in a small area known as a front.
Cold fronts, warm fronts, stationary fronts, and occluded fronts are the four primary types of fronts. As a cold front enters a region, it pushes the warm air mass out of the way, resulting in a sharp drop in temperature and frequently severe weather. On the other hand, when a warm front approaches a region, it forces the cold air mass out of the way, causing the air to gradually warm up and increasing the likelihood of rain or drizzle. When two weak air masses collide, stationary fronts develop. enough to push the other out of the way, resulting in a stationary boundary between them. Occluded fronts occur when a cold front overtakes a warm front, lifting the warm air mass above the ground and forming a new boundary between the cold air behind the cold front and the cool air ahead of the warm front.
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how could you find the wave length of a sound? test your idea with several different sounds. check to see if the results for wavelength make sense
To determine the wavelength of a sound wave 1, the formula λ = v/f can be used, where λ represents the wavelength of the sound wave, v is the velocity of sound, and f is the frequency of the sound wave.
When sound waves propagate through a medium, they form a pattern of compressions and rarefactions that can be measured as sound waves.To test the theory with several different sounds, take note of the velocity and frequency of each sound. Here are the steps for determining wavelength of sound wave:1.
Measure the velocity of sound in a medium - this is constant in a given medium at a given temperature, so the value will be known.2. Determine the frequency of the sound wave. This is typically done with a microphone or other frequency-measuring device.3. Plug the values into the equation λ = v/f4. Solve for λ to find the wavelength of the sound wave.For example, suppose that the velocity of sound in a given medium is 343 meters per second, and the frequency of the sound wave is 440 hertz.
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an old-fashioned single-play vinyl record rotates on a turntable at 45 rpm. what are (a) the angular velocity in rad/s and (b) the period of the motion in seconds?
(a) The angular velocity is 4.71 rad/s
(b) The period of motion is 0.013 seconds.
(a) The angular velocity (ω) of an object rotating at a certain speed can be calculated using the formula:
ω = (2π × frequency)/number of revolutions
Here, the record is rotating at 45 revolutions per minute (RPM), which is equivalent to 0.75 revolutions per second. Therefore, the angular velocity can be calculated as:
ω = (2π × 0.75 rev/s)/1 = 4.71 rad/s
(b) The period (T) of the motion is the time it takes for the record to make one complete revolution. It can be calculated using the formula:
T = 1/frequency
Here, the frequency is 45 RPM, which is equivalent to 0.75 Hz. Therefore, the period can be calculated as:
T = 1/0.75 Hz = 0.013 seconds
Therefore, the angular velocity of the record is 4.71 rad/s and the period of the motion is 0.013 seconds.
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a cat, also of weight 36.9 n , falls asleep on top of block a. if block b is now set into downward motion, what is its acceleration direction?
Deceleration with steady pace way equilibrium of forces is WB/WA. Write equations by Newton's second law for the scenario with cat is -g(WB/(WA+ WB)).
A) Deceleration with steady pace way equilibrium of forces:
B:WB=T,
A:T=μN=μWA.
μ= T/WA= WB/WA.
B) Write equations by using Newton's 2nd regulation for the scenario with cat:
B:T−WB =−(WB/g)a,
A:T−2μWA = (WA/g)a.
T = WB - (WB/g)a,
WB - (WB/g)a - 2(WB/WA)WA = (WA/g)a,
a(WA/g + WB/g)= -WB,
a=-g(WB/(WA+ WB)).
Deceleration refers to the act of slowing down or reducing speed. It is the opposite of acceleration, which is the increase in speed or velocity. Deceleration can occur in various contexts, including physics, engineering, and daily life.
In physics, deceleration is the rate at which an object slows down or changes its direction. It is measured in meters per second squared (m/s^2) or feet per second squared (ft/s^2). Deceleration is caused by forces such as friction, air resistance, or braking. In engineering, deceleration is an important factor in the design and safety of vehicles and machines. Proper deceleration systems, such as brakes or airbags, are essential to prevent accidents and protect occupants.
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Complete Question: -
Consider the system shown in the figure. Block A has a weight and block B has a weight . Once block B is set into downward motion, it descends at a constant speed.
a) Calculate the coefficient of kinetic friction between block A and the tabletop.
b) A cat, also of weight , falls asleep on top of block A. If block B is now set into downward motion, what is its acceleration (magnitude and direction)?
if a 10 meter wire is swung in a circle and it takes 0.8 seconds for the wire to come all the way around, what is the speed that is experienced by light bulb a
The speed that is experienced by light bulb is same as the speed of the wire as it is swung in a circle is approximately 78.5 m/s.
The speed of the wire can be calculated using the formula:
v = 2πr / t
where v is the speed of the wire, r is the radius of the circle (which is equal to the length of the wire in this case), and t is the time it takes for the wire to complete one revolution.
Substituting the given values, we get:
v = 2π(10 m) / 0.8 s
v = 78.5 m/s
Therefore, the speed of the wire as it is swung in a circle is approximately 78.5 m/s.
What is speed?
Speed is the measure of how quickly an object moves. It is defined as the distance traveled by an object per unit of time. The SI unit of speed is meters per second (m/s), although other units such as miles per hour (mph) or kilometers per hour (km/h) are also commonly used.
Mathematically, speed is represented as:
speed = distance / time
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Is it possible to have an average velocity of 0 for some motion but an average speed of 120 km/h for that motion? Provide a quantitative example
Yes, it is possible to have an average velocity of 0 for some motion but an average speed of 120 km/h for that motion. This can happen when the object changes direction during its motion.
A quantitative exampleLet's say a car travels 240 km in a straight line, driving 120 km/h in one direction for 2 hours, and then turning around and driving 120 km/h in the opposite direction for another 2 hours.
The car would end up back where it started, so the average velocity for the entire motion is 0 (since the displacement is 0).
However, the total distance traveled is 480 km, and the total time taken is 4 hours, so the average speed is 480 km / 4 hours = 120 km/h.
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which block does uranium belong to? select the correct answer below: s block p block d block f block
Uranium belongs to the f-block of the periodic table. The correct option is fourth.
The f-block is located at the bottom of the periodic table, and it consists of the lanthanide and actinide series. Uranium is an actinide element, which means it is part of the second row of the f-block. It is widely used in nuclear power plants, as well as in nuclear weapons.
The f-block elements are known for their unique electron configurations, which include partially filled f-orbitals. These elements are also called "inner transition metals" because they fill their d-orbitals before filling their f-orbitals. Uranium is a radioactive metal that has 92 protons in its nucleus.
In summary, uranium belongs to the f-block of the periodic table, specifically the actinide series.
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Our complete guide to US amusement parks delivers vacation ideas for those who enjoy eye-watering speeds, teeth-chattering descents and a g-force that relocates organs. We head to Coney Island to get shot in the air how far and how fast?
1. 100 feet at 75 mph
2. 200 feet at 75 mph
3. 50 feet at 90 mph
4. 150 feet at 90 mph
Answer:
100 feet at 75 mph.
What is mean by mph?mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.
speed = distance/time
hence, distance = speed x time
The above equation is the relationship between distance, speed and time.
Coney Island is a famous destination known for its amusement parks, boardwalk, and beautiful beach.
One of its most popular attractions is the Thunderbolt, which is a steel roller coaster that gives riders a thrilling experience of high speeds, steep drops, and sharp turns.
The distance and speed at which riders get shot in the air on the Thunderbolt roller coaster are 100 feet and 75 mph, respectively.
This means that the ride launches riders at a height of 100 feet while travelling at a speed of 75 miles per hour.
This can be a scary experience, as the force of gravity can make riders feel like their organs are relocating.
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100 POINTS AMD BRAINLIEST
Look at the image for the question, I really need help :(
The first blank is either:
Rachel! Brett
Second blank is:
greater, lesser
Third blank is either:
greater the masses of the two objects, the more the attraction between the objects
greater the masses of the two objects, the less attraction between the objects
smaller the masses of the two objects, the more the attraction between objects
Answer:
1. Rachel
2. greater
3. greater the masses of the two objects, the more the attraction between the objects
a current of 16.62 a is required through a copper wire of length 3.74 m and radius 0.095 mm. what potential different must be placed across the ends of the wire?
The potential difference required across the ends of the copper wire is 36.9 V.
The potential difference required across the ends of the copper wire can be calculated using Ohm's law, which states that the potential difference (V) is equal to the product of the current (I) and resistance (R), i.e., V = IR.
The resistance of the wire can be calculated using the formula for the resistance of a cylindrical conductor: R = ρL/A, where ρ is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.
Therefore, R = (1.68 x 10^-8 Ωm) x (3.74 m) / π(0.095 x 10^-3 m)^2 = 2.22 Ω.
Substituting the values of I and R in Ohm's law, we get V = (16.62 A) x (2.22 Ω) = 36.9 V.
Therefore, the potential difference required across the ends of the copper wire is 36.9 V.
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in the above diagram of a simple circuit with one resistor, is the voltmeter correctly integrated into the circuit? group of answer choices yes no not enough information.
Not enough information. The voltmeter needs to be connected in parallel with the resistor to measure the voltage across the resistor.
What is voltmeter?A voltmeter is an electrical instrument for measuring the potential difference, or voltage, between two points in an electrical circuit. It is used to measure the voltage of a battery, a generator, or any other source of electrical potential. The voltmeter consists of an electrometer, which is an instrument that measures electrical potential, and a scale that reads out the voltage. The voltage is measured in volts, and the instrument is usually calibrated to read in units of millivolts or kilovolts. The operation of the voltmeter can be explained by Ohm’s Law, which states that the voltage in an electrical circuit is proportional to the current in the circuit. When the voltage is measured, a current is induced in the circuit, and the electrometer measures the potential difference between the two points. The voltmeter is a key instrument for any electrical engineer, as it is used to measure the voltage of a power source or the efficiency of an electrical circuit.
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a large air-filled 0.297-kg plastic ball is thrown up into the air with an initial speed of 11.7 m/s. at a height of 2.87 m, the ball's speed is 2.87 m/s. what fraction of its original energy has been lost to air friction?
The fraction of the ball's original energy that has been lost to air friction is 20%.
The ball's original energy can be calculated by using the equation E = 0.5*m*v², where m is the mass and v is the velocity.
The original energy of the ball is thus 0.297 * 11.72 = 41.2 Joules.
To calculate the amount of energy lost, we need to use the equation E = 0.5*m*v2 again. The ball's velocity at a height of 2.87 m is 2.87 m/s, so the energy lost to air friction is:
0.297 * 2.872 = 8.28 Joules.
Finally, the fraction of energy lost can be calculated by dividing the energy lost by the original energy.
the fraction of energy lost = 8.28/41.2
the fraction of energy lost = 0.20
the fraction of energy lost = 20%.
Therefore, the fraction energy is 20%.
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in a billiards game, the white cue ball hits the black ball, moving the black ball to the right while the cue ball moves to the left. if the action force is applied by the cue ball to the black ball, which force is the reaction force?
If the white cue ball hits the black ball and moves the black ball to the right while the cue ball moves to the left, the action force applied by the cue ball to the black ball is the force applied to the black ball by the cue ball.
Thus, the correct answer is the force applied to the black ball by the cue ball (C).
Newton's Third Lаw of Motion explаins thаt forces аlwаys come in аction-reаction pаirs. The Third Lаw stаtes thаt for every аction force, there is аn equаl аnd opposite reаction force. In a billiards game, the white cue ball exerts а force on the bаlls. This is the аction force. The bаll exerts аn equаl аnd opposite force on the bаt.
The white cue ball forces the black bаll in one direction аnd the white cue ball forces the bаll in the opposite direction. The two forces creаte аn interаction pаir on different objects аnd аre equаl in strength аnd opposite in direction. The force (F) of A (the white cue ball) on B (the black bаll) is equаl in mаgnitude аnd opposite in direction of the force of B on А: F(А on B) = - F(B on А).
Your question is incomplete, but most probably your figure in the Attachment and the options were
A. the force of gravity on the cue ball
B the friction applied by the table to the cue ball
C, the force applied to the black ball by the cue ball
D. the force applied by the stick to the cue ball
Thus the correct option is C.
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the teledeltos paper does not conduct charges well. in comparison, the metal electrodes are good conductors. when the power supply is on, charge builds up on the conductors. what path do charges follow between the electrodes?
The teledeltos paper does not conduct charges well, in comparison the metal electrodes are better conductors. When the power supply is turned on, charge builds up on the conductors. The path do charges follow between the electrodes is least resistance. The charges are transported from one electrode to the other via the path of least resistance.
Electrons have a negative charge, and they are attracted to a positive charge. As a result, electrons flow from negative to positive in electrical circuits. The movement of electrons is referred to as an electrical current. The charges flow through the conductor as the voltage is applied, and the path of least resistance is followed between the electrodes.
The charges travel through the metal electrodes because they have low resistance, while the teledeltos paper has a high resistance which means that it does not conduct charges well. The charges are transported through the metal electrodes between the two electrodes due to their excellent electrical conductivity.
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a bicycle wheel has a radius of 0.304 m and a rim whose mass is 2.50 kg. the wheel has 50 spokes, each with a mass of 0.0100 kg. (a) calculate the moment of inertia of the rim about the axle. (b) determine the moment of inertia of any one spoke, assuming it to be a long, thin rod that can rotate about one end. (c) find the total moment of inertia of wheel, including the rim and all 50 spokes.
The moment of inertia of the bicycle wheel with radius of 0.304m and 50 spoke, rim with mass 2.50 kg for rim about the axle is 0.229 kg·m² , moment of inertia of any one spoke is 0.00186 kg·m² and moment of inertia of the wheel, including the rim and all 50 spokes is 0.592 kg·m².
(a) The moment of inertia of the rim about the axle, we use the formula for the moment of inertia of a thin hoop.
We substitute the mass of the rim and the radius of the wheel into the formula and get the moment of inertia of the rim
The moment of inertia of the rim about the axle:
[tex]I_{rim} = MR^2[/tex]
where M is the mass of the rim and
R is the radius of the wheel.
Substituting the given values, we get:
[tex]I_{rim} = (2.50 kg) *(0.304 m)^2 = 0.229 kg*m^2[/tex]
Therefore, the moment of inertia of the rim about the axle is 0.229 kg·m².
(b) The moment of inertia of any one spoke, we use the formula for the moment of inertia of a long, thin rod rotating about one end.
We substitute the mass of the spoke and its length into the formula and get the moment of inertia of one spoke.
[tex]I_{spoke} = (1/3)ML^2[/tex]
where M is the mass of the spoke and
L is its length.
Substituting the given values, we get:
[tex]I_{spoke} = (1/3) *(0.0100 kg)*(2 * 0.304 m)^2= 0.00186 kg*m^2[/tex]
Therefore, the moment of inertia of any one spoke is 0.00186 kg·m².
(c) The total moment of inertia of the wheel, we use the parallel axis theorem.
The moment of inertia of the wheel about the center of mass is given by:
[tex]I_{center} = I_{rim} + 50*I_{spoke}[/tex]
Substituting the values we found in parts (a) and (b), we get:
[tex]I_{center} = 0.229 kg*m^2 + 50 * 0.00186 kg*m^2 = 0.324 kg*m^2[/tex]
The distance between the center of mass and the axle is equal to the radius of the wheel, so we can use the parallel axis theorem to find the total moment of inertia:
[tex]I_{total} = I_{center} + Md^2[/tex]
where M is the total mass of the wheel (rim plus spokes) and
d is the distance between the center of mass and the axle.
Substituting the given values, we get:
M = 2.50 kg + 50 × 0.0100 kg = 3.00 kg
d = 0.304 m
[tex]I_{total} = 0.324 kg*m^2 + (3.00 kg) *(0.304 m)^2= 0.592 kg*m^2[/tex]
Therefore, the total moment of inertia of the wheel, including the rim and all 50 spokes, is 0.592 kg·m².
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when two objects are charged by a charge-separating process or device, how are their charges related?
When two objects are charged by a charge-separating process or device, their charges are related in such a way that the total amount of charge in the system is conserved.
This is known as the principle of conservation of charge.
This principle states that the total amount of electric charge in an isolated system is always conserved,
that is, it cannot be created or destroyed but can only be transferred from one object to another or from one form to another.
The charge-separating process involves the transfer of electrons from one object to another, resulting in a buildup of charge on one object and a deficiency of charge on the other.
This process can occur due to a number of reasons, such as rubbing two objects together, or bringing them in contact with a charged object, or by inducing a charge on an object by bringing it close to a charged object.
The charges on the two objects can be either positive or negative, depending on the nature of the charge-separating process.
For example, when two objects are rubbed together, electrons may transfer from one object to another, resulting in a buildup of negative charge on one object and a deficiency of negative charge on the other.
The charges on the two objects are opposite in sign, and the total amount of charge in the system is conserved.
When two objects are brought in contact with a charged object, the charge on the charged object is transferred to the uncharged objects,
resulting in a buildup of charge on one object and a deficiency of charge on the other. In this case, the charges on the two objects are of the same sign, and the total amount of charge in the system is conserved.
The charges on two objects that are charged by a charge-separating process or device are related in such a way that the total amount of charge in the system is conserved.
The charges on the two objects can be either positive or negative, depending on the nature of the charge-separating process, and can be of the same or opposite sign.
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Electric circuit
ohm's law
The equation to determine the ohms law of the electrical circuit is given as V = IR.
Ohm's law is used to find the characteristics of an electrical circuit. it is used to find the current flowing through an electrical circuit, to determine the voltage of the battery connected to the circuit, and to find how much resistance is in the circuit.
The equation for the ohms law is V = IR. where ;
I = the current flowing through the electrical circuit.
V = voltage of the battery connected to the circuit.
R = resistance in the electrical circuit.
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How to calculate the ohms law in an electrical circuit?
as a wave approaches a shoreline at a non-parallel angle, the wave crest is bent in response to changes in wave speed. this is called .
As a wave approaches a shoreline at a non-parallel angle, the wave crest is bent in response to changes in wave speed. This is called wave refraction.
Wave refraction is the redirection of a wave, usually by the shore, so that it moves more nearly parallel to the shoreline. Wave refraction is a phenomenon that happens when waves slow down in shallow water.
When a wave moves from deep to shallow water, the shallow part of the wave slows down, making it turn. The wave's crest curves towards the shoreline in wave refraction, while the trough remains straight. When the wave is moving toward the shoreline at an angle, the crest is bent in response to changes in wave speed.
Wave refraction is important because it contributes to the development of currents along the shoreline. The swash is strong when waves are coming straight in, but when they come at an angle, the water has to flow back to the side to keep the level. As a result, a current is created that flows parallel to the shore.
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a guitar string oscillates with a frequency of 440 hz. if the air temperature is 20c how far apart are neighboring regions of compression in the sound wave that is created?
A guitar string oscillates with a frequency of 440 Hz and the air temperature is 20°C.
When a guitar string vibrates, it creates a sound wave. The sound wave that is produced by the guitar string is the sum of many individual waves that form the fundamental frequency and its harmonic overtones. The sound wave produced by the guitar string comprises areas of compression and rarefaction. Compression occurs when the air molecules are pressed together, whereas rarefaction occurs when the air molecules are pulled apart.
The wavelength of a sound wave can be calculated using the formula:
λ = v/f
where, λ = wavelength
v = velocity of sound in the medium
f = frequency of the sound wave
In this problem, the frequency of the sound wave is 440 Hz. At a temperature of 20°C, the velocity of sound in air is 343 m/s.
λ = 343 /440
λ = 0.78 m or 78 cm
Hence, the neighboring regions of compression in the sound wave that is created are 0.78 meters or 78 centimeters apart.
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