Three small identical masses are released simultaneously from the top of three i

Question

Three small identical masses are released simultaneously from the top of three inclines. The three inclines have the same height and they are all frictionless, but they have different angles. Which object will have the highest speed at the bottom of the incline? The first has the smallest angle, the third has the biggest angle and the second has an angle size between the two (medium). Which of the following is true?

Object #2 will have the highest speed.
All three objects will have the same speed at the bottom.
Object #1 will have the highest speed.
Object #3 will have the highest speed.

Explanation / Answer

speed at the bottom of incline is

vcm =( 2gh/ 1+ ( I_CM/MR^2) )^1/2

speed of object at the bottom depends on the height and mass but not inclined angle so All three objects will have the same speed at the bottom.

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