10 questions

18 minutes

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1. Which of the following is a true statement regarding the motion of projectiles?

2. A cannonball is fired with an initial velocity of 20 m/s and a launch angle of 45° at a wall 30 m away. If the cannonball just barely clears the wall, what is the maximum height of the wall?

3. A car initially at rest accelerates linearly at a constant rate for 5 s. If the final speed of the car is 15 m/s, what was the displacement of the car?

4. A rocket is launched into the air. A few moments after liftoff, the rocket is 40 m above the ground. After another 5 s, the rocket is now 200 m off the ground. What is the average velocity of the rocket during the 5 s part of the flight?

5. A student presses a 0.5 kg book against the wall. If the µ_{s} between the book and the wall is 0.2, what force must the student apply to hold the book in place?

6. A box with a mass of 10 kg is placed on an inclined plane that makes a 60° angle with the horizontal. The coefficient of static friction (μ_{s}) between the box and the inclined plane is 0.2. What force must be applied on the box in order to prevent the box from sliding down the inclined plane?

7. A 2,000 kg car has a head-on collision with a 1,000 kg car. How does the impact force on the heavier car compare with that of the smaller car?

8. Two students push two different boxes across a frictionless floor. Both students exert a horizontal force of 50 N. If the first box has mass m_{1} = 10 kg and the second box has mass m_{2} = 40 kg, what is the value of a_{1}/a_{2}?

9. A 4 kg box is accelerated upwards by a string with a breaking strength of 80 N. What is the maximum upward acceleration that can be applied on the box without breaking the string?

10. A worker moves a 30 kg box by pulling on it with a rope that makes a 60° angle with the horizontal. If the worker applies a force of 40 N and pulls the box over a distance of 20 m, how much work did the worker do?