Momentum and Energy Word Problems

Momentum and Energy word problems

1) A student plots the graph below, showing the kinetic energy Ek of a motorbike versus the square of its velocity v2 . a) What is the slope of this graph?

b) What does the slope represent? 2) Two steel pucks are moving as shown in the diagram. They collide inelastically.

Determine the speed and direction (angle ) of the 1.3 kg puck before the collision. 3) A space vehicle made up of two parts is travelling at 230 m s as shown.

An explosion causes the 450 kg part to separate and travel with a final velocity of 280 m s as shown.

a) What was the momentum of the space vehicle before the explosion? b) What was the magnitude of the impulse on the 1 200 kg part during the separation? 4) A 250 kg roller coaster passes point A at 12.0 m s.

What is the speed of the roller coaster at point B at the bottom of the hill if 8 500 J of energy is transformed to heat during the journey? 20.7 m/ s 5) A gardener does work W pushing a lawnmower a distance d across a lawn.

a) Plot a graph of W versus d on the axes below.

b) Calculate the slope of the line, expressing your answer in appropriate units. c) What does the slope of the line represent? 6) Consider the collision between the vehicles in the photograph below.

The collision is inelastic. Define inelastic. Give at least two pieces of evidence that show this to be an inelastic collision. 7) A 1.2 kg bowling ball moving at 14 m s strikes a 1.5 kg pin at an angle. The pin moves off at 8 m s at an angle of 30as shown in the diagram.

What is the velocity (magnitude and direction) of the bowling ball after striking the pin?