Answer:
On Edg 2021, the answer was "B = The moon's orbital period and distance from Earth"
Explanation:
I hope this is correct for you, if it isn't I am very sorry. Good luck! :)
Newton's principles of motion and the universal law of gravitation can be used to derive Kepler's third law. Make the centripetal force equal to the force of gravity. The following expression, which may also be written as P2=42a3GM, can be obtained by inserting an expression for the planet's velocity: GMr=4r2P2. Thus, option B is correct.
What Kepler's laws or Newton's universal law of gravitation?Newton demonstrated that the force that causes something to fall toward the ground, like an apple, is the same force that causes the moon to orbit the Earth. The Sun, as well as any other star and its satellites, are affected by this universal force.
Newtonian physics and Kepler's laws serve as the foundation for planetary motion and orbital laws. Because these fundamental rules govern everything in the cosmos, they also govern how planets and artificial satellites move.
Therefore, If two things experience the same acceleration when the same force is applied to them, then they have the same inertial mass. Newton's second law makes use of the same mass.
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an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is
The required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
Given that,
An object with mass m is dropped from rest and taking air resistance into account.
The velocity as a function of time is,
v(t) = (m g)/c [ 1 - e^-(ct/m)]
v(t) = (m g)/c [ 1 - 1/e^(ct/m)]
lim t → ∝ v(t) = (m g)/c [ 1 - 1/∝]
lim t → ∝ v(t) = (m g)/c ( 1 - 0)
lim t → ∝ v(t) = (m g)/c
Thus, the required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
The question is incomplete. The complete question is 'v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) Calculate lim t→∞ v.'
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A tsunami caused by an earthquake occurring in Alaska in 1946 consisted of several huge waves which were found to travel a distance of 3607 km. The first of the waves reached Hawaii 4.567 hours after the earthquake occurred. From this data, calculate the speed of the tsunami.
From the given data, the speed of the tsunami is 789.8 km/h.
What is the speed of the tsunami?The speed of the tsunami is calculated from the relationship between distance travelled by the wave and the time of motion of the wave.
Mathematically, this formula is given as;
v = d / t
where;
d is the distance travelled by the wave of the earthquaket is the time of motion of the waveFrom the given data, the speed of the tsunami is calculated as follows;
v = ( 3607 km ) / ( 4.567 hr )
v = 789.8 km/h
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A horizontal force of 12 Newtons is applied to a 4.0 kg box that slides on a horizontal surface. The box starts from rest moves a horizontal distance of 10 meters and obtains a velocity of 5.0 m/s. The surface has friction. The friction force is
Group of answer choices
4.9 N.
6.0 N.
7.0 N.
6.5 N.
Answer:
7.0N
Explanation:
F=ma
v2=u2+2as
25=0+20a
a=1.25m/s2
F=ma
F=0.4×1.25
Fn=5N
F=12
12-5=Ff
=7.0N
A horizontal force of 12 newtons is applied on a box of 4 kg then the friction force will be equal to 7 N. Hence option C is correct.
What is Velocity?Velocity is the rate at which a moving object's direction changes as perceived from a certain vantage point and measured by a particular unit of time. Kinematics, the area of special relativity that investigates how bodies move, starts with the fundamental idea of speed.
In order to be explained, the scientific vector quantity known as velocity needs to have both a magnitude and a direction.
As per the given information in the question,
Use the equation of motion:
v² = u² + 2as
25 = 0 + 20a
a = 1.25 m/s2
F = ma
F = 0.4 × 1.25
Fn = 5 N
F = 12
Ff = 12 - 5
Ff = 7.0 N
Therefore, it concludes that the friction force will be equal to 7.0 N.
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If a circle has a circumference of 25.1 cm compare where the object would have been if it had gone in a straight line at 4 cm/s for 6.28 seconds(no acceleration) to where it is after it has gone around the circle for 6.28 at 4.0cm/s
The object would have returned to its initial starting point if it had travelled round a circle.
What is the distance travelled by the object?
The distance travelled by the object is determined from the product of speed of the object and the time of motion of the object.
D = vt
where;
v is the speed of the object = 4 cm/st is the time of motion of the object = 6.28 sThe distance travelled by the object is calculated as follows;
D = ( 4 cm / s ) x ( 6.28 s )
D = 25.1 cm
Thus, at the given time and speed the object would have travelled round the circle. That is the object would have made one complete revolution.
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Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false; Newton's third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? To answer this question, suppose that each vehicle is initially moving at 6.60 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 75.0 kg. Including the masses of the drivers, the total masses of the vehicles are 800 kg for the car and 4,000 kg for the truck. If the collision time is 0.100 s, what force does the seat belt exert on each driver? (Enter the magnitude of the force.)
Answer:
According to Newton's third law, the force exerted on each driver during the collision is equal and opposite to the force exerted on their respective vehicles. We can use the principle of conservation of momentum to find the force experienced by each driver.
The initial momentum of the car and driver is the product of their mass and velocity: (800 kg)(6.60 m/s) = 5280 kgm/s. The initial momentum of the truck and driver is (4000 kg)(6.60 m/s) = 26400 kgm/s. After the collision, the final momentum of the combined system (the car, truck, and drivers) is 0, since the collision is perfectly inelastic and the two vehicles stick together. This means that the final momentum of the car and driver is equal and opposite to the final momentum of the truck and driver.
We can set up the following equation to solve for the force experienced by the car driver:
Force (car driver) = (final momentum of car and driver) / (collision time)
= (-final momentum of truck and driver) / (collision time)
= (-26400 kg*m/s) / (0.100 s)
= -26400 N
The negative sign indicates that the force is in the opposite direction of the initial momentum of the car and driver. The force experienced by the truck driver is equal in magnitude to the force experienced by the car driver, so the force experienced by the truck driver is also -26400 N.
Explanation:
Order the electromagnetic waves from lowest frequency (1) to highest (4). gamma: infrared: x-ray: visible light:
Gamma: 4
Infrared: 1
X-Ray: 3
Visible Light: 2
Infrared has the longest wavelength between the four options, meaning that it has the lowest frequency. Since the longer the frequency, the lower the frequency. While the shorter the wavelength, the higher the frequency.
The portions of the electromagnetic spectrum are called from greatest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. Microwaves (such as those used in microwave ovens) are a subset of the electromagnetic spectrum's radio wave segment.
Next would be visible light since it has the second longest wavelength out of the given options. Then it would be X-Ray. And finally Gamma since it has the shortest wavelength.
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During a magic trick, a magician twirled a ball on a string horizontally at a constant rate. He then doubled the length of the string but maintained the rate at which the ball rotated. Which of the following factors remained constant? A angular velocity B centripetal acceleration с centripetal force
Correct option is C, Centripetal force remains constant.
Centripetal Force -
Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.
A net force that keeps an object moving in a circular motion is known as a centripetal force.
Centripetal force has the formula =mv2r. The newton or kgms2 is the measure of force.
A centripetal force is applied to any item travelling in a circle (or along a circular path). In other words, the object is being physically pushed or pulled in the direction of the circle's center. This is the necessary centripetal force.
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In which situation is the acceleration of the car negative?
A. The velocity of the car was 75 km/h over 4 hours
B. The velocity of a car was reduced from 50 km/h to 35 km/h over one minute
Answer:
The answer is B
A car is traveling $$ m/s when the gas pedal is released and the brakes are gradually applied, resulting in an acceleration given by the function $$ m/s^2. What is the distance traveled before the car comes to a stop?
The distance traveled before the car comes to a stop is 66.66 m. It's important to note that the negative sign on acceleration indicates that the car is slowing down.
Calculation-To find the distance traveled before the car comes to a stop, we can use the formula for distance traveled under constant acceleration. The formula is:
Distance = initial velocity * time + (1/2) * acceleration * time^2
The car is traveling at an initial velocity of 20 m/s and the acceleration is given by the function -6.0t, where t is the time in seconds.
We can find the time it takes for the car to come to a stop by setting the final velocity to 0 and solving for t.
0 = 20 + (-6.0)t
t = 20/6
t = 3.333 s
Now that we have the time, we can substitute it back into the distance formula along with the initial velocity and acceleration:
Distance = 20 * 3.333 + (1/2) * -6.0 * (3.333)^2
Distance = 66.66 m
How much further will the automobile go before stopping?The reaction distance for a vehicle traveling at 60 mph on the highway is 312 feet, and the reaction distance for a vehicle traveling at 80 mph is 496 feet. Simply put, at current speeds, doubling the car's speed will result in a three-fold increase in stopping distance.
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2 points
A car traveling at 25 m/s forward completes a sharp turn to the left. Fully
explain what an unbuckled passenger in the car experiences as the car
moves through the turn, assuming the passenger completes the turn in
the car. You must also properly explain inertia's role in this scenario *
An unbuckled passenger in the car experiences movement towards right side due to inertia as the car moves towards left.
According to Newton's first law of motion, every body continues to be in a state of rest or of uniform motion unless an external force acts upon it. This is called inertia. It is the tendency of an object to resist change.
As a result, when the car makes a sudden left turn, the passengers appear to move to the right side of the vehicle because they are still travelling in the same straight line that the car was travelling in before the turn.
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A 1200 kg car rounds a curve of radius 80 meters banked at an angle of 20°. What speed must the car travel to experience no friction between the tires and the road?
Answer:
if you wanna watch it in English it's called dub
why does increasing axon diameter increase conduction velocity conduction resistance capacitance
The increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.
Capacitor is a body which is used to store the electricity in it and we can use it in the time when we need it in the circuit. also we can use the capacitor in the jumping the charge and electricity from the spark gap in the circuit to attain a good height and velocity as we needed it. by this information we can primarily consider that the increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.
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Answer the questions based on the information given. The Amur plate, a small plate, has moved away from the Eurasian plate. It has moved125,000 meters in 25 million years. It is moving eastward. What is the rate of motion of the Amur plate
The solutions are: The movement is 5 mm per year. The plate is 5,000 meters to the east. The Amur and Eurasian plates would collide, creating an ocean floor.
The rate of motion is in mm per year so you need to convert the distance it has moved to millimeters.
1 meter = 1,000 meters
125,000 will therefore be:
= 125,000 * 1,000
= 125,000,000 millimetersRate of motion = 125,000,000 / 25,000,000 years
= 5 mm/year
The plate is moving east and in 1 million years it would be:
= 1,000,000 * 5 mm/year
= 5,000,000 mm
n meters this is:
= 5,000,000 / 1,000
5,000 meters east
ecause the Amur and the Eurasian plates are moving apart, the ocean would have to fill up the space left which would lead to the development of a new oceanfloor.
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Answer: 5 mm/year, 5000 meters east, new ocean floor
Explanation:
4. A 9.35 kg bowling ball would require what force to accelerate it down an alleyway at
a rate of 3.12m/s²?
The force needed is 29.2 N.
To calculate the force needed to accelerate a 9.35 kg bowling ball at a rate of 3.12 m/s²,
you can use the equation F = ma, where F is the force, m is the mass of the object (in this case, the bowling ball), and a is the acceleration. Putting in the values, you get:
F = (9.35 kg) x (3.12 m/s²)
= 29.2 N
This works out to be approximately 29.2 Newtons of force.
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Describe the properties of waves and explain how they can be measured.
Why is a sound wave considered a mechanical wave?
The properties of waves are: wavelength, time period.
Sound wave is considered a mechanical wave because it requires medium to travel.
What is mechanical wave?A mechanical wave is one whose energy cannot be transmitted via a vacuum. To transfer their energy from one place to another, mechanical waves need a medium.
A mechanical wave is something like a sound wave. A vacuum can not be traversed by sound waves.
Units of time and space can be used to measure the fundamental characteristics of waves. The length between wave crests, or wavelength (L), and the time it takes a wave to pass a fixed point, or period (T), are two characteristics that can be measured directly.
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If the work done to move a toy car by a force of 20N is 60J how far did the car move?
Answer: Distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.
Explanation: To determine how far the car moved, you need to know how long the force was applied. The equation for work is work = force * distance, so if you know the force and the work, you can solve for the distance. In this case, you know that the force applied was 20 N and the work done was 60 J, so you can calculate the distance by rearranging the equation to solve for distance: distance = work/force. Plugging in the values, you get distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]w=60J[/tex]
[tex]F=20N[/tex]
[tex]d=?[/tex]
__________________________________________________________
Rearranging formula to make distance the subject:
[tex]w=Fd[/tex]
[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]
[tex]d=\dfrac{w}{F}[/tex]
__________________________________________________________
Finding distance:
[tex]d=\dfrac{w}{F}[/tex]
[tex]d=\dfrac{60}{20}[/tex]
__________________________________________________________
[tex]\fbox{d = 3 meters}[/tex]
(I know the velocity (1.6m/s) and now I want to find the angle of the vector. )
A rower intends to row his raft at its top speed of 1.5 m/s from the south bank of a river to a point
directly opposite on the north bank. He fails to recognise the river current which pulls a Jog west at
0.50 m/s, What is the raft's resultant velocity with respect to the bank?
Answer:
R = 1.5 to the northeast
C = .5 to the west
B = C + R adding vectors head to tail
Vector B will be straight north or directly across the river
B = (1.5^2 - .5^2)^1/2
B = 2^1/2 = 1.41
Adding the vectors as described shows that if the rower rows at 1.5 m/s in a northeasterly direction and the river carries the boat downstream at .5 m/s the net speed of the boat is 1.41 m/s straight north
If a moving ball is hit by another moving ball ,what effect of force can be observed in such a situation?
Answer:
The forces are the weight, drag, and lift. Lift and drag are actually two components of a single aerodynamic force acting on the ball. Drag acts in a direction opposite to the motion, and lift acts perpendicular to the motion.
Explanation:
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Why does the pattern of colors repeat in a thin soap film? Please use 2 content related sentences. Need to refer to constructive interference and half wavelength intervals.
Answer:
A colorful interference pattern is observed when light is reflected from the top and bottom boundaries of a thin oil film. The different bands form as the film's thickness diminishes from a central runoff-point. ... So one set of light rays shine into a soap bubble, but two sets of rays come back out again.
A person on a bike (m=90kg) is traveling 4m/s at the top of a 2m hill. What is his/her kinetic energy?
Answer:
Ek = 720J
Explanation:
Ek = 0.5mv^2
Ek = 0.5(90)(4)^2
Ek = 720J
A 2.5-kg cart is rolling along a frictionless, horizontal track towards a 1.3-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is 4.6 m/s, and the second cart's velocity is -1.8 m/s. (a) What is the total momentum of the system of the two carts at this instant
The required total momentum of the system at this instant is calculated to be 9.16 kg m/s.
Given that,
Mass of the first cart, m₁ = 2.5 kg
Mass of the second cart, m₂ = 1.3 kg
Velocity of the first cart before collision, u₁ = 4.6 m/s
Velocity of the second cart before collision, u₂ = -1.8 m/s
The total momentum of the system before collision is calculated as follows,
P t = P₁ + P₂
P t = m₁ u₁ + m₂ u₂ = 2.5 × 4.6 + (1.3 × -1.8) = 11.5 - 2.34 = 9.16 kg m/s
Thus, total momentum of the system of the two carts at this instant is 9.16 kg m/s.
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A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. (a) What is the final velocity of the loaded freight car
The freight car which is being dumped into the metal scrap has the final velocity of 0.18 m/s.
In this problem, we use the principle of conservation of linear momentum.
Given that,
Mass of the freight car m₁ = 30,000 kg
Mass of the hopper m₂ = 110,000 kg
Velocity of the freight car u₁ = 0.85 m/s
Velocity of the hopper u₂ = 0
Let the velocity of the loaded freight car = v
We need to find out v.
m₁ u₁ + m₂ u₂ = ( m₁ + m₂) v
After putting the values into the equation above, we have,
30,000 × 0.85 + 110,000 × 0 = (30,000 + 110,000) v
140,000 v = 25500
v = 0.18 m/s
Thus, the required velocity of the loaded freight car is calculated to be 0.18 m/s.
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A Shuttle astronaut is sent to repair a defective relay in a 600. 00- kg satellite that is traveling in space at 17 00. 0 m/s * a * w * a * y Suppose the astronaut and his Manned Maneuvering Unit ( MMU) have a mass of 400. 00 kg and travel at 17 010. 0 m/s toward the satelliteWhat is the combined velocity when the astronaut grabs hold of the satellite?
A Shuttle astronaut is sent to repair a defective relay in a 600. 00- kg satellite that is traveling in space. The combined velocity when the astronaut grabs hold of the satellite is 17,004.4 m/s.
The combined velocity of the astronaut and the satellite when the astronaut grabs hold of the satellite is the relative velocity between the two objects. The relative velocity can be calculated using the principle of conservation of momentum. The principle states that the total momentum of an isolated system remains constant if no external forces act on it.
The initial momentum of the satellite is
= (600.00 kg) * (17,000.0 m/s)
= 10,200,000 kg*m/s
The initial momentum of the astronaut and the MMU is
= (400.00 kg) * (17,010.0 m/s)
= 6,804,400 kg*m/s
The final momentum of the combined system is
= (600.00 kg + 400.00 kg) * v,
where v is the final velocity of the combined system.
The conservation of momentum equation:
=> initial momentum = final momentum
= 10,200,000 kgm/s + 6,804,400 kgm/s
= (1000 kg) * v
= v
= (10,200,000 + 6,804,400) / 1000
= v
= 17,004.4 m/s
So, the combined velocity of the astronaut and the satellite when the astronaut grabs hold of the satellite is 17,004.4 m/s.
It's important to note that the relative velocity is the same in both directions, this is a vector quantity and direction is important.
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A passenger elevator operates at an average speed of 8 m/s. if the 60th floor is 219 m above the first floor,how long does it take the elevator to go from the first floor to the 60th floor?
Answer:
27s
Explanation:
Time = distance/speed
Time = 219/8
Time = 27.375 s
Is SCID a deletion mutation?
No, SCID is not a deletion mutation.
The AK2 gene, which codes for the mitochondrial enzyme adenylate kinase 2 (AK2), is mutated (missense mutations; deletions) in SCID, which is brought on by an increase in lymphocyte apoptosis [75,76]. A category of extremely rare diseases known as severe combined immunodeficiency (SCID) are brought on by abnormalities in various genes involved in the growth and operation of immune cells that fight infections. At birth, infants with SCID seem healthy, yet they are prone to serious infections.
Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.
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An object is dropped from a height of 8 m. At what height will its kinetic energy and its potential energy be equal
At the peak it has the same potential and kinetic energy.
How is kinetic energy calculated?Kinetic energy (K.E.) is inversely proportional to the square of an object's velocity and its mass: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second, the kinetic energy is measured in kilogram-meters squared per second squared.
Kinetic energy and potential energy are equivalent at what height?The velocity will be zero and the ball's displacement will be at its maximum at the highest point of the trajectory. We might state that the energy present is equivalent to the sum of the potential energy.
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How does plastic pollution affect the earth
Answer:
It doesn't allow plants and crops to grow also some animals take them to be food so they die which wipes out the population of animals and plants
Answer:
when plastic is shown in the sea, it affects animals. some sea creatures may think it's food and swallow it. If the plastic is shown, plants won't grow very well because there is not fertile soil.
Explanation:
I hope this helped!
What is the difference between dynamic and passive stretching?
It is a passive stretch if it depends on an outside force. Stretches that are passive and static are a fantastic technique to increase flexibility and can also be utilised to cool down.
What is the difference between static and passive stretching?Passive stretching, which is called a static stretch, is a technique in which you remain calm and do not add to the range of motion. Static stretching involves stretching all the way to the end and holding the stretch. An external force, like a partner, is instead produced by an external force.
This stretching technique relies on a prop, accessory, or partner to help increase the stretch, thus you aren't actively assisting in extending your range of motion. Passive stretches improve flexibility while reducing muscle soreness and tiredness after a workout.
Stretching with movement is known as dynamic stretching. It stretches the muscles by using the muscles themselves. The usual "static" stretching is not like this.
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Expression for kinetic energy is __________ while that of potential energy is __________
When using a 20 ft ladder how far from a building should the base of the ladder be?
When using a 20 ft ladder the distance from a building should be the base of the ladder by 5 ft
The base of a ladder should be positioned one-quarter of the working length of the ladder from the building. Therefore, when using a 20 ft ladder, the base should be positioned 5 ft from the building. Additionally, the ladder should be placed on a solid and level surface, and the feet of the ladder should be securely wedged to prevent slipping.
Extend the top of the ladder three feet above the work table to get access to it, or fasten the ladder at the top.
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