# Problem: A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in the figure. Find an expression for the sleds speed when it is at angle exttip{phi }{phi}.Use Newtons laws to find the maximum speed the sled can have at angle exttip{phi }{phi} without leaving the surface.At what angle exttip{phi _{ m max}}{phi_max} does the sled "fly off" the hill?

⚠️Our tutors found the solution shown to be helpful for the problem you're searching for. We don't have the exact solution yet.

###### Problem Details

A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in the figure.

Find an expression for the sleds speed when it is at angle .

Use Newtons laws to find the maximum speed the sled can have at angle without leaving the surface.

At what angle does the sled "fly off" the hill?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Motion Along Curved Paths concept. You can view video lessons to learn Motion Along Curved Paths. Or if you need more Motion Along Curved Paths practice, you can also practice Motion Along Curved Paths practice problems.