Posted by **Henry** on Thursday, October 15, 2009 at 2:55am.

A child on a sled starts from rest at the top of a hill and slides down. Does the velocity at the bottom depend on the angle of the hill if:

(a) it is icy and there is no friction?

(b) there is friction (deep snow)?

I'm thinking that the angle will always be a factor, regardless of there being friction, but I'm not sure.

- AP Physics -
**MathMate**, Thursday, October 15, 2009 at 8:25am
If there is no friction at all, the *magnitude* of the velocity, or the speed, will not be dependent on the angle, it only depends on the difference in elevations.

However, since the velocity includes magnitude AND direction, the change of angle will change the direction of the final velocity.

The conclusion is: without friction, the velocity will change with the angle, but the speed will not.

If there is considerable (or any) friction, much energy will be dissipated, so the final *speed* will be reduced, hence it will change both the speed and the velocity.

## Answer This Question

## Related Questions

- physics - A child and a sled have a combined mass of 87.5 kg slides down a ...
- physics - A 30kg sled(with rider) slides without friction down a small, ice ...
- phys. help - A 30-kg child coast down a hill on a 20-kg sled. She pushes off ...
- physics - A child on a sled (total mass 41 kg) slides down a hill inclined at an...
- Physics - A child insists on going sledding on a barely snow-covered hill. The ...
- physics - A child and sled with a combined mass of 58.9 kg slide down a ...
- physics - a sled slides down a frictionless hill. if the sled starts from rest ...
- physics - A child and sled with a combined mass of 45.0 kg slide down a ...
- physics - A child and sled with a combined mass of 48.4 kg slide down a ...
- physics - A child and sled with a combined mass of 47.4 kg slide down a ...

More Related Questions