1. A tiger leaps horizontally from a 16.0 m high rock with a speed of 7.10 m/s. How far (in meters) from the base of the rock will it land?

2. An athlete executing a long jump leaves the ground at a 31.0 degree angle and travels 8.60 m. What was the takeoff speed (in meters/second)?

3. A golfer drives a ball with a velocity of 42 m/s at an angle of 45 degrees above the horizontal. What is the maximum height (in meters) of the ball above the level fairway?

4. What force (in newtons) is needed to accelerate a bicycle of mass 73 kg (including the rider) at a rate of 3.35 m/s^2?

5. A 0.160 kg baseball, traveling 37.0 m/s, strikes the catcher's mitt, which recoils 14.0 cm in bringing the ball to rest. What was the average force (in newtons) applied by the ball to the mitt?

6. What is the acceleration (in meters/second^2) of a freely falling 71.0 kg sky-diver, if air resistance exerts a force of 244 N?

7. A force of 250 N is required to start a 80.0 kg box moving across a concrete floor. What is the coefficient of static friction between the box and the floor?

8. A wet bar of soap slides freely down a ramp 18.0 m long, inclined at 54.0 degrees. How long (in seconds) does it take to reach the bottom? (Neglect friction.)

9. A flatbed truck is carrying a 2310 kg crate of heavy machinery. If the coefficient of static friction between the crate and the bed of the truck is 0.540 , what is the maximum rate (in meters/second^2) that the driver can decelerate when coming to a stop, in order to avoid crushing the cab of the truck with the crate?

10. A 6.0 kg object, moving with a constant velocity of 5.0 m/s, is acted upon by a force of 14 N in the direction of the motion for 4.0 s. What is the velocity (in meters/second) of the object at the end of this time?

11. How large a force (in newtons) is needed to accelerate a 2 metric-ton vehicle from rest to a speed of 20 km/hr in 5 s?

12. A wooden box weighing 256 N is pushed across the floor by a workman who exerts a horizontal force of 152 N. If the force of friction between the box and the floor is 27 N, what is the acceleration (in meters/second^2) of the box?

13. Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1670 N on the rope, what is the maximum speed (in meters/second) he can tolerate at the lowest point of his swing? His mass is 84.0 kg, and the vine is 17.0 m long.

14. What is the maximum speed (in meters/second) with which a 1100 kg car can round a turn of radius 400 m on a flat road, if the coefficent of friction between tires and road is 0.540 ?

15. On a wet racetrack, the maximum safe speed, to avoid sliding on a level circular curve with a radius of curvature of 55 m, is 78 km/hr. What is the coefficient of friction between the car's tires and the track surface?

16. How far (in meters) above the earth's surface will the acceleration of gravity be 85.0 % of what it is on the surface?

17. A child moves with a speed of 3.10 m/s when positioned 14.0 m from the center of a merry-go-round. Calculate the net force (in newtons) exerted on the child, whose mass is 24.0 kg.

18. A ball on the end of a string is revolving at a uniform rate in a vertical circle of radius 96.5 cm. If its speed is 4.40 m/s, and its mass is 0.255 kg, calculate the tension (in newtons) in the string when the ball is at the bottom of the path.

19. Find the force of gravity (in newtons) on a spacecraft 12200 km above the earth's surface, if its mass is 500 kg.

20. Calculate the effective value of g, the acceleration of gravity (in meters/second^2), at 5600 km above the earth's surface.

21. A satellite is in circular orbit above the Earth at an altitude of 8000 km. What is the orbital speed of the satellite?