Problem: A 28-kg rock approaches the foot of a hill with a speed of 15 m/s. This hill slopes upward at a constant angle of 40.0 above the horizontal. The coefficients of static and kinetic friction between the hill and the rock are 0.75 and 0.20, respectively.Use energy conservation to find the maximum height above the foot of the hill reached by the rock.Will the rock remain at rest at its highest point, or will it slide back down the hill?If the rock does slide back down, find its speed when it returns to the bottom of the hill.

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A 28-kg rock approaches the foot of a hill with a speed of 15 m/s. This hill slopes upward at a constant angle of 40.0 above the horizontal. The coefficients of static and kinetic friction between the hill and the rock are 0.75 and 0.20, respectively.

Use energy conservation to find the maximum height above the foot of the hill reached by the rock.

Will the rock remain at rest at its highest point, or will it slide back down the hill?

If the rock does slide back down, find its speed when it returns to the bottom of the hill.

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Our tutors have indicated that to solve this problem you will need to apply the Conservative Forces & Inclined Planes concept. You can view video lessons to learn Conservative Forces & Inclined Planes. Or if you need more Conservative Forces & Inclined Planes practice, you can also practice Conservative Forces & Inclined Planes practice problems.