1. (26 points) A block of mass m1 = 1.0 kg is connected to a string that is wrapped around a pulley and attached at the other end to a mass m2 = 5.00 kg. Mass m2 slides down the inclined plane, which is resting on a table top. Mass m1 drops vertically straight down. The coefficient of kinetic friction between the block m2 and the incline plane surface is = 0.20. The incline angle is 30-degrees as you can see. Find the following:

(a) (16 points) the acceleration a of the two blocks.

(b) (10 points) the tension T in the string.

 

2. (20 points)

A ball is thrown from the top of a building of height H above the ground. The initial speed of the ball initially is 20.0 m/s with a projection angle of 30.0 degrees with the horizontal. The ball lands 73.0 m horizontally from the base of the building.

  1. (10)What is H?
  2. (10) What is the angle

of the ball's velocity with the horizontal just before it hits the ground?

 3. (20 Points) A special toy car of mass 1.00 kg moves on a vertical circular track of radius 0.500 m. It moves on the track at constant speed v. The track is in the shape of 3-quarters of a circle. At the top (vertically straight up from the lowest point), the car leaves the track and shoots out with a horizontal velocity and the same speed v. The car lands on the ground a horizontal distance D = 2.50 m from the lowest point.

  1. (10)What is the magnitude of the centripetal force of the car as it moves on the circular track?
  2. (10)What is the normal force on the car at the lowermost point ?

4. EC (6 points) A block of mass m = 2.00-kg starts at rest from the top and slides down ramp. The coefficient of kinetic friction between the block m and the incline plane surface is = 0.20. The vertical height from the bottom to the top is H = 4.00 m. The incline angle is 30-degrees as you can see. Find the following:

 

(a) (2) What is the work done by gravity during this motion?
(b) (2)What is the work done by friction ?
(c) (2)What is the kinetic energy of the block at the bottom?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. (20 points)

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  2. (20 points)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6. (20 points)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7. ( 20 points)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8. (20 points)