Who has the maximum speed?

Classical Mechanics Level 2

Three identical blocks are released from rest simultaneously, from fixed inclined planes having different slopes.

If all surfaces are frictionless, then which block has the maximum speed when it reaches the ground?

B A All three blocks have the same speed when they reach the ground. C

Pranshu Gaba by Pranshu Gaba

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2 solutions

Sam Bealing
May 18, 2016

Note kinetic energy at the bottom equals gravitational potential energy lost so:

m g h = 1 2 m v 2 mgh=\dfrac{1}{2} m v^2

v = 2 g h v=\sqrt{2gh}

This only depends on the height of the block and as they all start at the same height, they all finish at the same speed. The answer is:

T h e S a m e \boxed{The \: Same}

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Md Zuhair
Aug 4, 2016

As m g h = 1 / 2 m v 2 mgh = 1/2 mv^2 ... So it does not depents upon a n g l e angle . So Same!!

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