1996/97 Test 1 Parts B & C

To aid you with your exam preparation, the following are the Parts B and C questions from the 1996/97 first midterm. (NOTE: The Part A questions of the 1996/97 first midterm are the questions in the Self-Graded Quiz #1.)

B1. A car is initially at rest. It accelerates uniformly to a speed of 15.0 m/s over a distance of 35.0 m. What is the magnitude of the car's acceleration?

B2. A projectile is fired at an angle of 60.0° above the horizontal with an initial speed of 30.0 m/s. What is the magnitude of the horizontal component of the projectile's displacement at the end of 2.00 s? 

B3. A system of two cables supports a ball of weight 150 N as shown. What is the tension in the right-hand cable? 

B4. Calculate the speed of an Earth satellite that is in a stable circular orbit of radius 6.90 × 106 m. Mass of the Earth: 5.98 × 1024 kg.

B5. A block of mass 2.00 kg slides, from rest, down the frictionless surface shown. The block starts at a height of 3.00 m above the bottom of the slope. Find the speed of the block at the bottom of the slope.

C1. A diver springs from a diving board which is 3.00 m above the water. At the instant she contacts the water, her speed is 8.90 m/s and her trajectory makes an angle of 75.0° with respect to the horizontal surface of the water. Determine her initial velocity, both magnitude and direction. (Provide a sketch and indicate your choice of coordinate system. Specify the direction by the angle from the horizontal.)

C2. A car is initially moving at a speed of 20.0 m/s down a hill that is at an angle of 15.0° with the horizontal. The driver of the car slams on the brakes, causing the wheels to lock and the car skids to a halt. The coefficient of kinetic friction between the tires and the road surface is 0.650. Calculate the distance the car skids before coming to rest.

C3. A crate of mass 6.00 kg is given a shove on a horizontal rough surface so that it has an initial speed of 6.26 m/s. It comes to rest in a distance of 4.00 m from the point where it was shoved. 

  1. Calculate the work done by the force of friction on the crate.
  2. Using the result from (a), calculate the coefficient of kinetic friction between the crate and the surface.

Solutions: