AP Physics I
Semester Exam Practice
1) A particular dying star has 5 times the radius of earth and has 25 times the mass of earth. Determine the acceleration of the star. Also, what would a 5 gram object weigh on this massive star?
2) A 0.65-kg ball is attached to a 1.0-m rope and whirled in a vertical circle. The rope will break when the tension exceeds 550 N. What is the maximum speed the ball can have at the bottom of the circle without breaking the rope?
3) Find the magnitude and direction of the resultant for the following set of vectors. Also, find the equilibrant. 35 N 25o S of W, 20 N 30o S of E, 70 N 65o N of E
4) A .25 kg stopper is spinning vertically at 2 rev/s on a rope that has a radius of .40 meters. Determine the tension in the rope at the top and the bottom while it is spinning.
5) A circular space station has a radius of 100 meters. What should be the period of this station if it is supposed to simulate gravity here on earth?
6) A jumper in the long-jump goes into the jump with a speed of 11 m/s at an angle of 25o above the horizontal.
a) How long is the jumper in the air before returning to the Earth? / b) What is the maximum vertical height the jumper achieves?c) What is the maximum horizontal distance the jumper achieves? / d) At the top of its trajectory, what is velocity in the y direction?(magnitude and direction)
e) At the top of its trajectory, what is the velocity in the x direction?(magnitude and direction) / f) At the top of its trajectory, what is the acceleration component?(magnitude and direction)
7) An automotive test driver travels due north in a prototype hybrid vehicle at 40 mi/h for 3 hours. She then reverses her direction and travels due south at 50 mi/h for 1.5 hour.
a) what is the average speed? b) what is the average velocity?
8) A 20 kg box is being pulled up a 25o incline with a force of 400 Newtons. If = .10, what will be the acceleration up the incline?
9) A 0.20-kg ball attached to a string is rotating in a horizontal circle of radius 0.4 m. If the ball revolves three times every second, what is the tension in the string?
10) A ball is thrown upward on the edge of a cliff with an upward speed of 15 m/s and it falls to the ground 100 meters below. How much later does it hit the bottom and what is its speed just before hitting the ground?
11) A certain string just breaks when it is under 35 N of tension. A boy uses this string to whirl a 0.65-kg stone in a horizontal circle of radius 1.5 m. The boy continuously increases the speed of the stone. At approximately what speed will the string break?
12) A brass ball is shot vertically upward from the surface of an atmosphere-free planet with an initial speed of 15.0 m/s. One second later, the ball has an instantaneous velocity in the upward direction of 10.0 m/s.
a) What is the magnitude of the acceleration due to gravity on the surface of this planet? / b) How long does it take the ball to reach its maximum height?c) How high does the ball rise? / d) Determine the velocity of the ball when it returns to its original position
e) How long is the ball in the air when it returns to its original position?
13) A rock is kicked horizontally at a speed of 15 m/s from the edge of a cliff. The rock strikes the ground 60 m from the foot of the cliff of height H as suggested in the figure. Neglect air resistance. /a) How long is the rock in the air?b) What is the approximate value of H, the height the cliff?
14) Given the setup at the right. The box weighs 35 kg and is sitting on a surface. The mass that is hanging over is 25 kg. Determine the acceleration of the system. WRITE EQUATIONS ONLY /15) A car travels at 20 m/s for 5 s. It then speeds up with a constant acceleration of 2 m/s2 for 10 s. At the end of this time, what is the total distance traveled?