Askater of mass 40 kg is carrying a box of mass 5 kg. the skater has a speed of 5 m/s with respect to the floor and is gliding without any friction on a smooth surface. a. find the momentum of the box with respect to the floor. b. find the momentum of the box with respect to the floor after she puts the box down on the frictionless skating surface.

For the part a) we need only the momentum of the box and we have the data to find it.

Momentum is given by,

where clearly, p is the momentum, m the mass of the box and v is the velocity.

Substituting,

For part b) we need an analysis of the situation. We understand that the box on a surface that has no friction will continue to rotate at the same speed previously defined. The box can only stop with friction, so,

It is the same that part a)

D

Explanation: Six people can push with more force than 5 people can. So, if 5 people can push the box up a 400-cm ramp, then certainly 6 people can do it also. Similarly, any ramp that is longer (less steep) than a 400-cm ramp will work, so they can handle the 800-cm ramp. However, the 200-cm ramp is too short and steep. In fact, the 200-cm ramp is half the distance of the 400-cm ramp, so it would take twice as many people (10 people) to push the box up that ramp. Six people is not enough