14. A ball initially at rest rolls without slipping

an incline of height 'h'. What is the linear

speed of the ball when it rolls onto the

horizontal surface?

Solution:

Question

Physics

Puddles

24 September, 10:52

14. A ball initially at rest rolls without slipping

an incline of height 'h'. What is the linear

speed of the ball when it rolls onto the

horizontal surface?

Solution:

+4

Answers (1)

Know the Answer?

Byrd · Answer 1

v = √ (10gh/7)

Explanation:

Initial gravitational energy = final rotational energy + kinetic energy

PE = RE + KE

mgh = ½ Iω² + ½ mv²

For a solid sphere, I = ⅖ mr².

For rolling without slipping, ω = v/r.

mgh = ½ (⅖ mr²) (v/r) ² + ½ mv²

mgh = ⅕ mv² + ½ mv²

mgh = 7/10 mv²

10/7 gh = v²

v = √ (10gh/7)

14. A ball initially at rest rolls without slippingan incline of height 'h'. What is the linearspeed of the ball when it rolls onto thehorizontal surface?Solution:

14. A ball initially at rest rolls without slipping

an incline of height 'h'. What is the linear

speed of the ball when it rolls onto the

horizontal surface?

Solution: