A marble X is released from the top of the ramp inclined at an angle of 30, with

Question

A marble X is released from the top of the ramp inclined at an angle of 30, with the bottom edge of the ramp hanging over a table. The moment when the marble X leaves the table top, another marble Y is dropped from the height of the table top. Which of the following will occur? Select one: a. Marble Y will hit the ground before marble X. b. Any of the marbles can hit first depending upon height of the table c. Both the marbles X and Y will hit the ground at same time. d. Marble X will hit the ground before marble Y.

Explanation / Answer

c) Both the marbles X and Y will hit ground at same time.

becasue, y-compoent of velocity of both marbles are same when they fall from height of table.

let h is the height of the table top.

let t is the time taken

use, h = (1/2)*g*t^2

==> t = sqrt(2*h/g)

as both marbles are at the same initial height, t is same for both marbles.

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