Marcus and Kiwi are going for a ride in their new wagon! Then they will roll down a frictionless hill, dropping a total height of 2.0 meters. How far into the leaf pile will the kitties and wagon travel before coming to a stop?
total info... Marcus and Kiwi are going for a ride in their new wagon! Marcus, Kiwi, and the wagon have a combined mass of 25 kg. Starting from rest, an impulse of 350 N*s will be exerted on the wagon and cats as they roll across horizontal, frictionless ground. Then they will roll down a frictionless hill, dropping a total height of 2.0 meters. At the bottom of the hill, the wagon will roll into a giant pile of leaves, exerting a constant force of 75N. How far into the leaf pile will the kitties and wagon travel before coming to a stop?
total info... Marcus and Kiwi are going for a ride in their new wagon! Marcus, Kiwi, and the wagon have a combined mass of 25 kg. Starting from rest, an impulse of 350 N*s will be exerted on the wagon and cats as they roll across horizontal, frictionless ground. Then they will roll down a frictionless hill, dropping a total height of 2.0 meters. At the bottom of the hill, the wagon will roll into a giant pile of leaves, exerting a constant force of 75N. How far into the leaf pile will the kitties and wagon travel before coming to a stop?
1 Answer
Explanation:
Impulse has 2 definitions: forcetime and change in momentum. Remember that the Newton must be equivalent to the combination of units kgm/s^2 (because of F=ma). Therefore
So we can say that the impulse of 350 Ns will produce a momentum change of 350 kgm/s. Since they started from rest, the impulse gave them a momentum of
Plugging in the mass and solving for v
The kinetic energy due to their
At the top of that hill, they also have gravitational potential energy of
After going down the hill, all their energy,
will be kinetic energy.
The 75N retardation of the leaf pile will continue until they come to a stop. The 75N retardation does work until all 2940 J of kinetic energy have been converted to 2940 J worth of confusion in the leaf pile.
I hope this helps,
Steve