Determining velocity of ice skaters


Assignment:

Question 1. To get off a frozen, frictionless lake, a 65 kg person takes a 0.150 kg shoe and throws it horizontally, directly away from the shore with a speed of 2 m/s. If the person is 5 m from the shore, how long does he take to reach it?

Question 2. Two ice skaters not paying attention collide in a completely inelastic collision. Prior to the collision, skater 1 with a mass of 60 kg, has a velocity of 5 km/h eastward, and moves at a right angle to skater 2, who has mass of 75 kg and a velocity of 7.5 km/h southward. What is the velocity of the skaters after the collision?

Question 3. A moving shuffleboard puck has a glancing collision with a stationary puck of the same mass. If the friction is negligible, what are the speeds of pucks after collision?

Question 4. In a high speed chase, a policeman's car bumps a criminal's car directly from behind to get his attention. The policeman's car is moving at 40 m/s to the right and has a total mass of 1800 kg. The criminal's car is initially moving in the same direction at 38 m/s. His car has a total mass of 1500 kg. Assuming an elastic collision, determine their two velocities immediately after the bump.

Question 5. Two cups are placed on the uniform board that is balanced on a cylinder. The board has a mass of 2 kg and is 2 m long. The mass of the cup 1 is 200 g and it is placed 1.05 m to the left of the balance point. The mass of the cup 2 is 400g. Where should the cup 2 be placed for balance (relative to the right end of the board)?

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