Posted by **John** on Sunday, November 18, 2007 at 6:42am.

Two blocks are released from the same height above the floor. Block A slides through a less inclined track to the floor, whereas block b slides on more inclined track to the floor. Assume no friction.Which block gets to the bottom(floor) of the incline first?

Explain?

- Physics -
**drwls**, Sunday, November 18, 2007 at 7:27am
The acceleration rate down the plane is

a = g sin A,

where A is the angle the ramp makes to the horizontal. The total length L that it must travel is

L = H/sin A,

where H is the height that it must fall.

The time T required to travel the length of the ramp is such that

(1/2) a T^2 = L

T = sqrt(2L/a)

= (1/sin A) sqrt(gH)

The smaller the angle A, the longer it takes.

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