A horizontal spring mass system is to be constructed. A spring which has a spring constant of 3 kg/s2 will be used. The system should be designed so that when it is released and vibrating freely (there is no forcing) the amplitude of its vibrations will decay like ????−0.4t, and it should oscillate with a period of 4 seconds.
(Although the motion is oscillatory it is not strictly periodic because the amplitude decays exponentially. In this context "period" refers to the period of the sine and/or cosine functions that create the oscillations in the motion.)
Based on these constraints determine the mass of the object, ????(kg), to be used, and also determine the value of the friction coefficient, ???? (kg/s).
????: kg
b: kg/s
Answers
Answer:
a) 1.1418 kg
b) 0.9135 kg/s
Explanation:
Given data :
spring constant ( k ) = 3 kg/s^2
amplitude of vibrations will decay like :
The mass of the object will be 1.418 kg and the value of the friction coefficient, b is 0.9135 kg/s.
What is Periodic motion?In physics, a periodic motion is a movement that repeats at regular intervals. A swing in motion, a rocking chair, a bouncing ball, a tuning fork vibrating, the Earth orbiting the Sun, and a water wave are all examples of periodic motion. The time interval for repetition, or cycle, of the motion, is referred to in each case as a period, and the frequency is the number of periods per unit of time.
According to the question, the given values are :
Spring constant, k = 3 kg/s²,
Time, T₁ = 4 sec
r = 0.4
The formula for damped oscillation is : [tex]e^-^r^t[/tex]
r = b / 2 m
w₁ = [tex]\sqrt{w_0^2-r^2}[/tex]
T₁ = 2π / w₁
= 2 π / [tex]\sqrt{w_0^2-r^2}[/tex]
w₀ = [tex]\sqrt{4 \pi^2/T_1 +r^2}[/tex]
[tex]\sqrt{k/m}[/tex] = [tex]\sqrt{4 \pi^2/T_1 +r^2}[/tex]
M = k / [tex]{4 \pi^2/T_1 +r^2}[/tex]
M = 3/ (4π/4² +(0.4)²)
M = 1.1418 kg
b = 2 Mr = 2 × 1.1418 × 0.4
b = 0.9135 kg/s
Hence, the mass of the object is 1.1418 kg and the friction coefficient is 0.9135 kg/s.
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Related Questions
A 25 kg box of roofing shingles is lifted 15 meters vertically to the top of a roof. How much work is done on the box?
Answers
Important Formulas:
[tex]F=ma[/tex]
force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]m=25kg[/tex]
[tex]d=15m[/tex]
[tex]w=?[/tex]
We know that the acceleration due to gravity is 9.8 m/s^2.
__________________________________________________________
Finding force:
[tex]F=ma[/tex]
[tex]F=25\times9.8[/tex]
[tex]F=245N[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=245\times15[/tex]
__________________________________________________________
[tex]\fbox{w = 3675 Joules}[/tex]
HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
Answers
Answer:
a. 25000 J
b. 2500 J/s
Explanation:
Given,
Distance ( s ) = 50 m
Force ( f ) = 500 N
a.
To find : -
Work done ( W ) = ?
Formula : -
W = fs
W
= 500 x 50
= 25000 J
Therefore,
the work done by the force the horse exerts is
25000 J.
b.
To find : -
Power ( P ) = ?
Formula : -
W = Pt
P = W / t
P
= 25000 / 10
= 2500 J/s
Therefore,
the power produced if the movement took 10 s
is 2500 J/s.
Answer:
2500j/s
Explanation:
What is the resulting acceleration when a net force of 18 N is applied to a 3.0 kg mass?
O A. 6.0 m/s2
C. 54 m/s2
O B. 15 m/s2
O D. 9.8 m/s2
Answers
Answer:
F =ma
a=f/m =18/3= 6m/m²
Explanation:
the resulting acceleration will 6 m/s² because the question asking us to solve for the acceleration.
Hi can anyone please help me with this question? i just cant seem to do it.. Thanksss
Newtons Universal Gravitational Law.
Bill gates a billionaire and space-X CEO, send Robin, 65kg, to planet Gidz. Gidz has a very weak gravitational attraction, of 1.56 N/Kg. Planet GIdz has a radius of 6.35 x 10^11 m.
i. determine the mass of planet Gidz.
Answers
Answer:
F = G M m / R^2 = m a
G M / R^2 = a
M = a R^2 / G
M = 1.56 N/kg * 6.35 m^2 / 6.67E10-11 N-m^2 / kg^2
M = 1.56 * 6.35 / 6.67E-11 kg
M = 1.49 * 10^11 kg
What does flowing electrical charge produce?
Lightning.
Unusable energy.
Useable energy, electricity.
Global warming.
Answers
Answer:
Useable energy, electricity
If the speed of a wave increases...
A. The frequency decrease
B. The frequency increases
Answers
Answer:
A. The frequency decrease
a defender running away from a goalkeeper at 5m/s is hit in the back by the goal kick. the ball stops dead and the players speed increases to 5.5m/s if the ball had a mass of 500g and the player mass is 70k how fast was the ball moving?
Answers
The goal kick strikes a defender racing at 5 m/s away from a goalkeeper in the back. The ball was moving at a speed of 70 m/s if it weighed 500g and the player's mass was 70k.
Why does the goalie in a football game pull his hands back after holding the ball that has been shot towards the goal?The goalkeeper extends the amount of time he has to hold the ball by pulling his hands back. He lessens the force (rate of change of momentum) the football exerts on him by lengthening the time.
Write the formula for momentum and define it.A vector quantity, momentum. A body's momentum is equal to P=m.v if it is travelling at a speed of v while having mass m. P=mv describes the magnitude of the momentum. Because momentum is a function of mass and velocity, its unit is the product of those two quantities.
By using conservation of momentum,
Initial momentum = Final momentum
(5 x 70) + (v x 0.5) = (5.5 x 70) + (0 x 0.5)
350 + 0.5v = 385 + 0
0.5v = 35
v = 70 m/s
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*NOTE* The answers in this question are
NOT realistic. Don't second guess yourself!
A pitcher claims he can throw a 0.151 kg
baseball with as much momentum as a 3.22 g bullet moving with a speed of 1.90312 x
10° m/s.
What must be its speed if the pitcher's claim is valid?
Answer in units of m/s. Answer in units of ms.
004 (part 2 of 3) 1.0 points
What is the kinetic energy of the bullet?
Answer in units of J. Answer in units of J.
005 (part 3 of 3) 1.0 points
What is the kinetic energy of the ball?
Answer in units of J. Answer in units of J
Answers
Answer: It is not clear what is the power of 10 in the speed of the bullet but here is a general procedure for the question.
Explanation:
[tex]P_{bullet}=(3.22*10^{-3}kg)*(10^{?}m/s)\\P_{baseball}=P_{bullet}\\[/tex]
Therefore we can write:
[tex](0.151*10^{-3} kg)*v_{baseball}=(3.22*10^{-3}kg)*(10^{?}m/s)[/tex]
From this using the relationship:
[tex]v_{baseball}=\frac{(3.22*10^{-3}kg)*(10^?m/s)}{0.151*10^{-3}kg}[/tex]
I cannot give a precise answer since power of then for speed of the bullet is not clear. But using the above equation you can reach the answer. General form of the equation is therefore:
[tex]v_{baseball}=\frac{P_{bullet}}{m_{baseball}}[/tex]
Where m is the mass of the ball which is 0.151 g.
8. An object experiences a force that is 10N up, 10N down, 25N right, and 10N left,
what is the net force occurring on the object?
Answers
Answer:
15 N right
Explanation:
The 10 up and 10 down cancel each other out. =0
25right-10 left =15 right
0+15= 15N right
You are riding your bicycle down the street at a speed of 14 m/s. Your bicycle frame has a mass of 6.6 kg, and each of its two wheels has mass 2.2 kg and radius 0.35 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules), taking into account both the translational and rotational motion
Answers
Answer:
1078 Joules
Explanation:
The computation of the total kinetic energy of the bicycle is shown below:
Given that
mass of bicycle's frame (m) = 6.6 kg
mass of each wheel (M) = 2.2 kg
radius of each wheel (r) = 0.35 m
And, the linear speed (v) = 14 ms
Now
As we know that
Angular velocity (ω) = v ÷ r
= 140 ÷ .35
= 40 rads
Total kinetic energy = translational kinetic energy + rotational kinetic energy
= (1 ÷2 × m × v^2) + (2 × 1 ÷ 2×I × ω^2)
= (0.5 × 6.6 × [14]^2) + (M × r2 × ω^2)
= 646.8 + (2.2 × 0.35 × 0.35 × [40]^2)
= 646.8 + 431.2
= 1078 Joules
What are the differences between thermionic and photoelectric emission?
Answers
Answer:
During thermionic emission, electrons are emitted from metal surfaces by providing heat energy, while during photoelectric emission, light energy is emitted when electrons are emitted from the surface of metal
Hope it helps :)
A 6 kg bowling ball is lifted 1.2 m into a storage rack. The acceleration of gravity is 9.8 m/s². Calculate the increase in the ball's potential energy. Answer in units of J.
Answers
Answer:
70.56 J
Explanation:
The increase in potential energy of the ball can be calculated using the formula:
PE = mgh
where:
PE is the increase in potential energy
m is the mass of the ball (6 kg)
g is the acceleration of gravity (9.8 m/s²)
h is the height the ball is lifted (1.2 m)
Substituting in the values, we get:
PE = (6 kg)(9.8 m/s²)(1.2 m)
This simplifies to:
PE = 70.56 J
So the increase in the ball's potential energy is 70.56 J.
1. What happens when a cold piece of metal is placed in hot water?
a. heat will flow from the metal to the water
b. temperature will flow from the water to the metal
c. temperature will flow from the metal to the water
d. heat will flow from the water to the metal
2. How do the molecules differ in a cup of hot water and a cup of cold water?
a. In the cold water, the molecules are moving faster than in the hot water.
b. In the hot water, the molecules are moving faster than in the cold water.
c. In the cold water, there are more molecules.
d. In the hot water, there are more molecules.
Answers
When a cold piece of metal is placed in hot water, heat will flow from the water to the metal.
The correct option is D.
The molecules in a cup of hot water differ from the molecules in a cup of cold water in that, in the hot water, the molecules are moving faster than in the cold water.
The correct option is B.
What is heat energy?Heat energy is a type of energy that is transmitted between systems or objects with various temperatures. Heat energy is also known as thermal energy.
The direction of the flow of heat energy is from the high-temperature system to the low-temperature system.
For example, heat energy will flow from hot water to a cold piece of metal; placed inside it.
The molecules of a hotter body have more kinetic energy than the molecules of a colder body.
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A wave travels at a constant speed. How does the wavelength change if the frequency is reduced by a factor of 4?
Answers
Answer:
The product of (wavelength) x (frequency) is always the same number ... the wave's speed.
So if the wavelength is somehow reduced to 1/4 its original length, the frequency is immediately multiplied by 4 . That's the only way their product can remain the same.
Explanation:
Please give me the answer to this question
Answers
There is not enough information to determine the work done. Option iv
What is the work done?Let us note that we say that there is work done when the force that has been applied moves a distance in the direction of the force. In this case, we have been told that there is the combination of the works that is done by the object.
Now, we also have to note that we do not have other information to determine the work done such as the magnetic feild and the mass of the electron. All these are lacking in the question.
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A point charge Q moves on the x-axis in the positive direction with a speed of 370 m/s. A point P is on the y-axis at y = + 80 mm. The magnetic field produced at point P, as the charge moves through the origin, is equal to - 0.8 μT k^. When the charge is at x = + 40 mm, what is the magnitude of the magnetic field at point P? (μ0 = 4π × 10-7 T • m/A)
A. 0.57 μT
B. 1.1 μT
C. 0.92 μT
D. 0.74 μT
Answers
Answer:
The answer is C:
Explanation:
HOPE IT HELPS!!
Two students are balancing on a 10m seesaw. The seesaw is designed so that each side of the seesaw is 5m long. The student on the left weighs 60kg and is sitting three meters away from the fulcrum at the center. The student on the right weighs 45kg. The seesaw is parallel to the ground. The mass of the board is evenly distributed so that its center of mass is over the fulcrum. What distance from the center should the student on the right be if they want the seesaw to stay parallel to the ground?
a. 4m
b. 5m
c. 2m
d. 3m
Answers
Answer:
Option A. 4 m
Explanation:
Please see attached photo for diagram.
In the attached photo, X is the distance from the centre to which the student on the right must sit in order to balance the seesaw.
Clockwise moment = X × 45
Anticlock wise moment = 3 × 60
Clockwise moment = Anticlock wise moment
X × 45 = 3 × 60
X × 45 = 180
Divide both side by 45
X = 180 / 45
X = 4 m
Thus, the student must sit at 4 m from the centre.
The distance from the center the student on the right will be if they want the
seesaw to stay parallel to the ground is 4m
The question tells us that X is the distance to the center , each side of the
see saw is 5m with total length being 10m. This is explained in the
attached picture.
Clockwise moment = X × 45
Anticlock wise moment = 3 × 60
Clockwise moment = Anticlock wise moment
X × 45 = 3 × 60
X × 45 = 180
= 180 / 45
= 4m
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A 5,257 kg rocket blasts off to the moon with an acceleration of 76 m/s ^2 what is the net force on the rocket
Answers
Newton's subsequent law expresses that power is corresponding to what exactly is needed for an object of consistent mass to change its speed. This is equivalent to that item's mass increased by its speed increase.
We use Newtons, kilograms, and meters each second squared as our default units, albeit any proper units for mass (grams, ounces, and so forth) or speed (miles each hour out of every second, millimeters per second², and so on) could unquestionably be utilized also - the estimation is the equivalent notwithstanding.
Hence, the appropriate answer will be 399,532.
Net Force = 399532
Does anybody know how to answer any of these questions? Any of them without a check mark.
Answers
Explanation:
sorry I can't help u right now
Please help me thank you
Answers
The gravitational potential energy of a body is determined by the equation U=mgh, where m is the body's mass, g is its gravitational force, and h is its height. The relationship between mechanical energy and gravitational potential energy is described by the equation E=U+K.
What is the kinetic energy equation?KE= 1/2 m v2
The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.
We compute kinetic energy because...It provides information on how a substance's mass impacts its velocities. Take this as a case study. A lorry and a sleek vehicle powered by the same engine cannot go at the same pace because to their different designs.
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just give me the right answer!
If the distance between two objects decreased, what would happen to the force of gravity between them?
It would increase.
It would stay the same.
It would depend on the speed.
It would decrease.
Answers
It would increase................
A boat has a speed of 20m/s in still waters. what is the speed in a river flowing due east with a velocity of 5m/s if the boat is heading north. How far from a point directly north on the other side of the river will the boat arrive if the width of the river is 10m.
Answers
The boat will arrive 2.5 meter in east far from a point directly north on the other side of the river.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction.
A boat has a speed of 20m/s in still waters.
The velocity of river is 5m/s in east.
The width of the river is = 10 meter.
Hence, time taken by the board to cross the river = 10/20 second
= 0.5 second.
In this time, the board will move in east direction = 5×0.5 meter = 2.5 meter.
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What's the difference between shunt and multiplier?
Answers
Answer:
A Shunt is a passive element, usually resistive, that is used to bypass current around another element, like a meter, that is not able to handle the full current flow. ... A Multiplier is an active element that amplifies a voltage or current to enable a less sensitive device or circuit to make use of it.
A Shunt which is a passive element resistive used to bypass current around another element, like a meter whereas A Multiplier which is an active element that amplifies a voltage or current to a less sensitive device
What is shunt ?The shunt can defined as it is generated by a resistor with an extremely low resistance that is coupled in parallel associated with some other resistor; A resistance of a shunt could be used just to increase the frequency of an ammeter measurement.
one of the example is The galvanometer employs a shunt to measure huge currents, can be also used as diode. some of the major Uses of shunt are used to determine big currents in galvanometers.
Shunt can safeguards the circuit where it is linked in parallel to the galvanometer in a circuit and act as an ammeter and the Current should be measured.
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An 80-kg man balances the boy on a teeter-totter as shown. What is the approximate mass of the boy? What, approximately, is the magnitude of the downward force exerted on the fulcrum? Ignore the weight of the board.
I know the first answer is 20 kg and the second answer is 1000N. Have no idea how to get these answers though. Please help? Will rate!!
Answers
The boy weighs at about 80 kg. When, as illustrated, a N 784 guy balances the youngster on a teeter-totter.
What is ideal interpretation of mass?A way to determine how much material, in mass, makes up a physical body.
In classical mechanics, an object's mass is essential to Newton's equations of motion because it affects the force required to accelerate it and, subsequently, how much inertia it has.
Language expert Peter Trudgill claims that the name "Tittermatorter" from the Norfolk language is its origin. Trudgill can trace all of his great-great-grandparents to a tiny region of eastern Norfolk.
As per the question:
Weight is come under gravity and become force
80g = mg
m = 80
Force = 80(9.8) = 784N
Thus, the answer is 784N.
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What are the magnitude and direction of the current in the 20 Ω resistor in (Figure 1)?
Express your answer with the appropriate units. Enter positive value if the current is clockwise and negative value if the current is counterclockwise.
Answers
To solve this we must be knowing each and every concept related to net current. Therefore, the circuit's overall net current is 0.1 A, flowing clockwise.
What is the net current?The term "net current" refers to the total currents after taking current direction into account. If a node sends 1 mA inside and 5 mA out, the total current equals 4 mA out.
The sum of all entering currents must match the sum of all exiting currents, according to KCL. According to Ohm's Law, the current flowing is equivalent to the combined voltage dividing by the entire resistance. In contrast to a series circuit, where the total current is the same across all of the components, the total current inside a parallel connection is really only equal to the particular current in that part of the circuit.
Net current
i = V / Ri
= (9 - 6) / (10 + 20)i
= 0.1 A
in clockwise way
Therefore, the circuit's overall net current is 0.1 A, flowing clockwise.
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Two carts of equal mass are on a horizontal surface with negligible friction. Cart A is approaching cart B, which is at rest, as shown in Figure 1 above. Attached to cart B is a spring that is initially compressed. At the moment cart A collides with cart B, the spring is released and pushes on cart A, as shown in Figure 2 above. Which of the following correctly states what happens to the kinetic energy and the momentum of the two-cart system as a result of the collision compared to those quantities before the collision?
(A) Kinetic energy: Increases; Magnitude of Momentum: Decreases
(B) Kinetic energy: Increases; Magnitude of Momentum: Stays the same
(C) Kinetic energy: Increases; Magnitude of Momentum: Increases
(D) Kinetic energy: Stays the same; Magnitude of Momentum: Decreases
(E) Kinetic energy: Stays the same; Magnitude of Momentum: Stays the same
Answers
The option that correctly states what happen to the kinetic energy and the momentum of the two-cart system as a result of the collision compared to those quantities before the collision is
B) Kinetic energy: Increases; Magnitude of Momentum: Stays the same
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force.
Since the elastic potential energy that was initially stored in the compressed spring has now been converted into kinetic energy, the system's total energy should be conserved. As a result, the system's kinetic energy increases. As a result, the system's kinetic energy rises.
The magnitude of the two-cart system's net momentum remains constant because there is no outside force acting on it, which implies that the system's overall momentum should be conserved.
Therefore, the correct option is B.
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menstruation occurs in females when ?
Answers
Answer:
when they hit puberty
Explanation:
.
have a good day
Answer:
Their inner lining of uterus sheds
Explanation:
this occurs typically in females between 9-15
Explain what would happen to a magnetic field if the magnetic strength of the magnet increased, Right now please
Answers
Answer:
You can add more coils on top of the first row, and this just adds more field strength. In technical terms, every coil of wire increases the "magnetic flux density" (strength) of your magnet. The magnetic field on the outside of the coil resembles a bar magnet.
Explanation:
The magnetic field will increase if the magnetic strength of the magnet increased.
What are magnetic field lines?The imaginary lines of forces which starts from the positive charged side of the magnet and ends on the negative side.
The magnetic field of an electromagnet is due to the magnetic field produced due to solenoid and the core of the electromagnet.
Since, the magnetic field of solenoid is given by B=μ₀ NI
Magnetic field increases when current in the wire of electromagnet increases. The number of loops can also be increased to increase the magnetic field strength.
Thus, Magnetic field lines will get more closer and strength will be increased.
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1. Three confused sled dogs are trying to pull a sled across the Alaskan snow. Tim pulls east with a force of 42 N; Sam also pulls east, but with a force of 53 N; and big Ethan pulls west with a force of 67 N. What is the net force on the sled? then find the acceleration?
2. A 944-kg dragster, starting from rest, attains a speed of 31,2 m/s in 0.670 s. a. Find the average acceleration of the dragster.
b. What is the magnitude of the average net force on the dragster during this time?
c. What horizontal force does the seat exert on the driver if the driver has a mass of 68.0 kg?
Please try to atleast answer one
Answers
Answer:
Explanation:
According to the statement, three confused sleigh dogs are trying to pull a sled across the Alaskan snow.
Forces in same direction gets added , so 35N + 42N=77N and the Net Force is 77N -53N as it is acting in opposite direction.
Net force is 25N in east to the maximum without any hassle.
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Which type of material uses the subtractive coloring process?
a. light
b. math
c. opaque
d. pigments
e. none of these