Linear Motion Review Test

The system shown above is released from rest. If friction is negligible, the acceleration of the 4.0 kg block sliding on the table shown above is most nearly

10/3 m/s^2

A 0.50 kg cart moves on a straight horizontal track. The graph of velocity vx versus time t for the cart is given below. During which of the following time intervals is the cart moving in the positive direction? Select all that apply.

20-25 s, 17-20s

An object of mass 10 kg is released from rest above the surface of a planet such that the object's speed as a function of time is shown by the graph above. The force due to gravity exerted on the object is most nearly

35 N

An amusement park ride has two identical carriages that revolve around the center of the ride's axle, as shown in the figure. Both carts travel at a constant tangential speed at all points along the circular path. At what position is the total mechanical energy of the cart-cart-Earth system at its maximum value?

b. the total energy of the Earth-Ferris wheel ride is constant

A ball is moved from Earth to a planet that has a gravitational acceleration that is double that of Earth. How does the gravitational force on the ball when it is on the new planet compare to the gravitational force on the ball when it is on Earth?

d. The gravitational force on the ball when it is on the new planet is double the force on the ball when it is on Earth.

A ball is tossed straight up and later returns to the point from which it was launched. If the ball is subject to air resistance as well as gravity, which of the following statements is correct?

d. The speed at which the ball returns to the point of launch is less than its speed when it was initially launched.

An object is released from rest near a planet's surface. A graph of the acceleration as a function of time for the object is shown for the first 4 seconds after the object is released. The positive direction is considered to be upward. What is the displacement of the object after the first 4 seconds?

-40 m

A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3 v0 when it collides with a larger block of mass 1.5M at rest at the bottom of the incline. The larger block moves to the right at a speed 2 v0 immediately after the collision. Express your answers to the following questions in terms of the given quantities and fundamental constants. Which of the following is the speed of the small block, M, after the collision?

0

A 50.0 N box is at rest on a horizontal surface. The coefficient of static friction between the box and the surface is 0.50, and the coefficient of kinetic friction is 0.30. A horizontal 20.0 N force is then exerted on the box. The magnitude of the acceleration of the box is most nearly

0 m/s^2

A 0.50 kg cart moves on a straight horizontal track. The graph of velocity vx versus time t for the cart is given below. During which of the following time intervals is the cart moving at a constant acceleration? Select all that apply.

17-20s, 9-12s, 0-9s

A 0.50 kg cart moves on a straight horizontal track. The graph of velocity vx versus time t for the cart is given below. During which of the following time intervals is the cart moving at a constant speed? Select all that apply

20-25 s, 12-17 s

An Atwood's machine is set up by suspending two blocks connected by a string of negligible mass over a pulley, as shown above. The blocks are initially held at rest and then released at time t0=0 s . The speed of the 3 kg block at time t1=2.0 s is most nearly

4 m/s

A block is launched up a frictionless ramp with an initial speed of . The ramp is inclined at an angle of 30 degrees above the horizontal. What is the approximate acceleration of the block at the instant it reaches its highest point on the inclined plane?

5 m/s^2 down the incline

A 0.50 kg cart moves on a straight horizontal track. The graph of velocity vx versus time t for the cart is given below. At which of the following times does the cart return back to its initial position?

8 s

A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3nar012-2.jpg when it collides with a larger block of mass 1.5M at rest at the bottom of the incline. The larger block moves to the right at a speed 2nar012-3.jpg immediately after the collision. Express your answers to the following questions in terms of the given quantities and fundamental constants. Which of the following is the height, h, of the ramp?

9(v0)^2/2g

A uniform bar, of mass M , with seven evenly spaced holes is held by sliding the bar over a horizontal peg through one of the seven holes. The peg passes through hole C and into a wall, the mass of the bar is equal to the mass of the cylinder, and the location of the center of mass of the bar is at the center of hole D. At t = 0, the cylinder hangs from a hook placed through hole B as shown above and the system is released. Frictional forces acting on the bar are negligible. Two additional cylinders, identical to the one hanging at location B, are to be hung from the bar. At which of the following locations should they be placed so the bar will be in rotational equilibrium?

A and E

A projectile fired into the air explodes and splits into two halves of equal mass that hit the ground at the same time. If the projectile had not exploded, it would have landed at point X, which is a distance R to the right of the launch point. After the explosion, one of the halves lands at point Y, which is a distance 2R to the right of the launch point. If air resistance is negligible, where did the other half land?

At the launch point

Object X travels across a horizontal surface and collides with object Y . The velocity as a function of time for object X and object Y before, during, and after the collision is shown in the graph. Both objects have a mass of 2 kg . Which of the following correctly describes the momentum p? of the system and the kinetic energy K of the system?

B (momentum conserved, Kinetic energy not conserved)

Ball A and ball B are each thrown horizontally from the same height above level ground. Ball B has a greater initial speed after leaving the thrower's hand. How do the accelerations of the balls and the times it takes them to hit the ground compare? (Air resistance is neglible)

E. acceleration and time of flight both equal

An elevator carrying a person of mass m is moving upward and slowing down. How does the magnitude F of the force exerted on the person by the elevator floor compare with the magnitude mg of the gravitational force?

F<mg

In a classroom at time t = 0 , a sphere is thrown upward at a 45° angle to the horizontal. At time t1, while the sphere is still rising, it bounces off the ceiling elastically and with no friction. Which of the following pairs of graphs could represent the sphere's horizontal velocity and vertical velocity as functions of time t?

Horizontal stays constant, vertical has a break

A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3 v0when it collides with a larger block of mass 1.5M at rest at the bottom of the incline. The larger block moves to the right at a speed 2 v0 immediately after the collision. Express your answers to the following questions in terms of the given quantities and fundamental constants.Which of the following would best classify this collision?

Inelastic

The bar is initially motionless but is free to rotate around the peg with negligible friction. A ball of clay is dropped onto the bar in the position shown. The clay collides with and sticks to the bar. During this collision which of following is true about the clay-bar system?

The linear momentum is constant

A block of mass M is released from rest at point 1, as shown in the figure. The block slides without frictional forces along the circular arc but encounters frictional forces as soon as it reaches the horizontal portion of the track at point 2. The block travels a distance D along the horizontal track before coming to rest at point 3. Consider the block-Earth system. In terms of the mechanical energy of the system, which of the following claims is correct, and why?

The system is open, because there is a net force on the block.

A student sets an object attached to a spring into oscillatory motion and uses a motion detector to record the velocity of the object as a function of time. A portion of the recorded data is shown in the figure above.The acceleration of the object at 0.9 s is most nearly equal to which of the following?

a. The slope of the tangent to a best-fit sinusoidal curve at 0.9 s

A uniform bar, of mass M , with seven evenly spaced holes is held by sliding the bar over a horizontal peg through one of the seven holes. The peg passes through hole C and into a wall, the mass of the bar is equal to the mass of the cylinder, and the location of the center of mass of the bar is at the center of hole D. At t = 0, the cylinder hangs from a hook placed through hole B as shown above and the system is released. Frictional forces acting on the bar are negligible. Which of the following best describes the motion of the bar after t = 0?

a. it will not change its current state of motion.

An inclined track is secured to a table. The height of the highest point of the track above the tabletop is h1 . The height from the tabletop to the floor is h2 . A block of mass M is released from rest and slides down the track such that all frictional forces are considered to be negligible. The block leaves the track horizontally and strikes the ground at a distance D from the edge of the track as shown. Which of the following statements is correct about the scenario? Select all that apply.

b. The total mechanical energy of the system containing only the block increases from the moment of release to the moment it strikes the ground. c. The total mechanical energy of the block-Earth system remains constant.

A 5 kg object moving to the left collides with and sticks to a 10 kg object moving to the right. Which of the following is true of the motion of the combined objects immediately after the collision?

c. the motion cannot be determined without knowing the speeds of the objects before the collision.

An object attached to one end of a string moves in a circle at constant speed. Which of the following is correct?

c. the object is accelerating as it moves.

A 0.50 kg cart moves on a straight horizontal track. The graph of velocity vx versus time t for the cart is given below.At which of the following time intervals is the cart at rest for the entire interval?

none of these