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1. A bottle of mass 0.5 kg is given an initial velocity of 2.3 m/s on...

1. A bottle of mass 0.5 kg is given an initial velocity of 2.3 m/s on a rough, horizontal surface. Draw a diagram showing all of the forces on the bottle as it moves across the surface. The bottle comes to rest after travelling a distance of 1.3 m. Calculate the time taken to come to rest, the deceleration and the friction force.

2. Block A has a mass of 4 kg and block B has a mass of 6 kg. The blocks collide and stick together. Compared to before the collision, is the total momentum of the two blocks after the collision the same or different? Is the total kinetic energy after the collision the same or different? Explain your answers. After the collision, what is the ratio of the kinetic energy of block A to the kinetic energy of block B?

3. A pump raises 50 kg of water through a vertical distance of 20 m and forces the water out with a speed of 10 m/s. If the water is initially static, how much work has been done by the pump? Calculate the power of the pump if it takes 12 seconds for the water to be expelled.

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