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1. A particle moves along the x axis under the influence of a stationary object.

The net force on


the particle is given by F = (3N/m3)x2. If the potential energy is taken to be zero for x = 1m then
the potential energy is given by:
A. none of the above B. x 3 (J) C.  x 3  1 (J) D. x 3  1 (J)
E.  x 3 (J)

2. Two objects, A and B, have the same momentum. B has less kinetic energy than A if it:
A. weighs less than A B. is moving faster than A
C. weighs more than A D. is moving at the same speed as A
E. weighs the same as A
3. A boat is able to move through still water at 10m/s. It makes a round trip to a town 3.0 km
upstream. If the river flows at 5m/s, the time required for this round trip is:
A. 600 s B. 150 s
C. 800 s D. No correct answer

4. A red ball of mass 1.4 kg, thrown from ground level, hits the ground again after an elapsed
time of 3 seconds and after traveling a horizontal distance of 42 m. The only force acting on the
ball is gravity. What is the initial x-component of the velocity, V0x?
A. V0x = 11.2 m/s B. V0x = 14.0 m/s
C. V0x = 19.8 m/s D. No correct answer

5. Block A, with a mass of 4 kg, is moving horizontally with a speed of 2 m/s while block B,
with a mass of 8 kg, is moving in the opposite direction with a speed of 3 m/s. Define the
velocity of the two block system’s center of mass.

6. A 640 N hunter gets a rope around a 3200 N polar bear. They are stationary, 20 m apart, on
frictionless level ice. When the hunter pulls the polar bear, how far will the polar bear move?
7/ Sphere A has mass m and is moving with velocity v. It makes a head-on elastic collision with
a stationary sphere B of mass 2m. Find their speed after the collision.

8/
9. If a certain car, going with speed v1, rounds a level curve with a radius R1, it is just on the
limit of skidding. If its speed is now doubled, the radius of the tightest curve on the same road
that it can round without skidding is:
A. 2R1 B. 4R1 C. R1/2 D. R1/4
10. If a satellite moves above Earth’s atmosphere in a circular orbit with constant speed, then:
A. its acceleration and velocity are always in the same direction
B. its acceleration is toward the Earth
C. the net force on it is zero
D. it will fall back to Earth when its fuel is used up
11. A box with mass M = 10 kg is pulled across a floor by a rope. There is friction between the
box and the floor. Consider an interval during which its velocity increases from 2 m/s to 3 m/s.

How much work is done on the box by the net force?


A. 0 J B. 15 J C. 25 J D. 65 J

13. A block is released from rest at point P and slides along the frictionless track shown.
Calculate the speed of the block at point Q.

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Problem

1. A solid sphere is released from height h from the top of an incline making an angle  with
the horizontal. Calculate the speed of the sphere when it reaches the bottom of the incline (a)
in the case that it rolls without slipping and (b) in the case that it slides frictionless without
rolling. (c) Compare the time intervals required to reach the bottom in cases (a) and (b).

2. A sphere of mass M and radius R rolls without slipping down an incline as shown in the figure.
a) Demonstrate the free body diagram and the motion equation of the sphere.
b) Calculate the acceleration and the magnitude of the friction.
c) Determine the friction coefficient of the surface, so that the sphere can roll without slipping.

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5/ A 25 cm radius wheel moving with the speed of 360 rev/min is braked by the 50N force. The
wheel’s weight is 2.5 kg. The friction coefficient between the wheel and the brake is 0.3. Define
the time of the wheel ‘s decelaration to zero and the extra revolutions of it before stopping.

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