1. A shopper moves a cart with a force of 35 N directed at an angle of 40.0^p downward from the horizontal. Find the work done by the shopper on the cart as she moves 90. m down the aisle.

2. Calculate the speed of a 9.5 x 10⁴ kg airliner with a kinetic energy of 2.1 x 10⁹ J.

3. The driver of a 1250 kg car traveling at a speed of 17.5 m/s applies the car's brakes when he sees a red light. The car's brakes provide a frictional force of 8250 N. Determine the stopping force of the car.

4. A 3.5 kg ball is attached to a ceiling by a string. The distance from the center of the ball to the ceiling is 3.0 m and the height of the room is 5.0 m. What is the gravitational potential energy associated with the ball relative to the floor?

5. A spring with a force constant of 7.8 N/m has a relaxed length of 3.75 m. When the mass is pulled from the starting position to 4.75 m out, what is the potential energy stored in the spring?

6. An airplane is flying at a speed of 60.0 m/s when it drops at 40.0 kg food package to the team below. If the plane drops the package from an altitude of 350.0 m and air resistance can be neglected, how fast is the package moving when it hits the ground?

7. Robert weighs 650N and is sliding down a frictionless 15 m tall hill. He starts at the top with a velocity of 12.5 m/s. At the bottom of the hill he hits a spring and compresses it 0.89 m. What is the maximum velocity of Robert? (the spring constant = 1.5 N/m)

8. A 53 kg student climbs up a 5.50 m rope at a constant speed. If the student's power output is 145 W, how long does it take the student to climb up the rope? How much work does the student do?