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Chapter 40: Practice Exercises
A pendulum consisting of a mass m attached to a light string of length is displaced from its rest position, making an angle th with the vertical.
The conveyor belt machine has an engine.
A mass m is moving along the floor.
The mass encounters a part of the floor that has a coefficient of friction.
Two mass are dropped at the same time.
The maximum vertical displacement of the pendulum is 17 cm above its rest position.
The spring has been compressed by 0.04 m and a mass rests on top of it.
A box is pulled along a smooth floor by a force F.
A sphere is dropped through a column of liquid.
The sphere has a speed of 5 m/s when it has fallen a distance of 2.0 m.
A mass is attached to a massless spring by a light string that passes over a pulley.
When the mass is released, the spring has a force constant of 500 N/m.
A block is on an incline.
The mass is connected to a massless spring by means of a light string.
The force constant is 100 N/m.
The spring is un stretched after the block is released.
The block comes to rest at a distance of 16 cm.
A car is travelling up a steep incline at a speed of 25 MPH.
If you divide 1 N by 2, you get 1 kg m/s 2.
You can verify which expression has units of joules per second to get the answer.
gravity is the only conservative force that can do work if there is no friction.
The average force must be halved if the velocity is doubled and the power is constant.
The average speed of the belt must be halved.
The work is being taken from the beginning.
Since the motion is horizontal, N is equal to f.
The velocity changes will be the same regardless of the amount of mass.
The work needed to raise the mass a height is provided by this energy.
h is equal to 0.54 m.
The value decreases with angle.
The work decreases as well.
As long as the same mass is raised to the same height, the work done to run up the stairs remains the same.
If we assume that the starting energy for the system is zero, the loss of potential energy is balanced by a gain in elastic potential energy for the spring.
The mass displacement is the same as the spring's.
v is 1.7 m/s.
The work done by gravity down the incline is affected by the work done by friction.
The net work is applied to stretching the spring by an amount equal to the displacement of the mass.
The coefficient of friction is given a value of 0.036.
The motion of an object is relative to the frame of reference.
We can imagine a second frame moving with the object in which it appears to be at rest, if an object is moving relative to one frame.
The object has energy because of its relative motion.
In the second frame, the object appears to be at rest.
The force of gravity causes your arm muscles to strain.
You feel tired because this requires energy from your body.
We use our knowledge of inclined planes to determine how much force the car must exert in order to cancel out the downward force of gravity.
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