1. A particle is subject to a force `F_x` that varies with position as shown in the figure. Find the work done by the force on the particle as it moves (a) from `x = 0` to `x = 5.00 m`, (b) from `x = 5.00 m` to `x = 10.0 m`, (c) from `x = 10.0 m` to `x = 15.0 m`. (d) What is the total work done by the force over the distance `x = 0` to `x = 15.0 m`?

2. How much work is required to stop a `1000\ kg` car traveling at `10\ m//s`

3. A 1000-kg elevator is moving from `10\ m` above the ground to `20\ m` above the ground. (a) What is the initial potential energy of the elevator. (b) What is the final potential energy of the elevator. (c) Calculate the work done by the lifting force.

4. A pendulum bob of mass `1.5 kg`, swings from a height `A` to the bottom of its arc at `B`. The velocity of the bob at `B` is `4.0\ m//s`. Calculate the height `A` from which the bob was released. Ignore the effects of air friction.

5. What is the magnitude of the momentum of a `28\ g` sparrow flying with a speed of `8.4\ m//s`?

6. A `5000`-`kg` boxcar traveling at `18.0\ m//s` strikes a second `4000`-`kg` boxcar at rest. The two cars stick together after the collision. What is the speed of the two cars after collision?

7. A `10`-`kg` block slides down form `3.0`-`m`-height and `10`-`m`-long inclined plane as shown. It reaches the bottom with a speed of `4.0\ m//s`, Determine the friction between the block and the inclined surface.