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A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will reach the bottom _____
  • a)
    With the same speed
  • b)
    With different speed
  • c)
    With different speed but same time
  • d)
    Immediately
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A solid sphere rolls down two different inclined planes of the same he...
Acceleration of the rolling sphere,
a = gsinθ/((1+k2/R2))
Velocity of the sphere at the bottom of the inclined plane,
v = √(2gh/((1+k2/R2)))
The sphere will reach the bottom with the same speed v because h is the same in both the cases.
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