A hammer of mass 1kg falls freely from a height of 2 m .Calculate (I) The velocity and (II) The KE. Of the hammer just before it touches the ground. Does the velocity of hammer depend on the mass of hammer?

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Solution

$m = 1 k g h = 2 m P o t e n t i a l e n e r g y a t h e i g h t h i s = m g h W e k n o w t o t a l e n e r g y r e m a i n s c o n s \tan t t h e r e f o r e w h e n h a m m e r r e a c h e s t o t h e g r o u n d t h i s p o t e n t i a l e n e g y w i l l c o n v e r t i n t o k i n e t i c e n e r g y . P E = K E m g h = K E = 1 \times 10 \times 2 = 20 J v i s t h e v e l o c i t y o f t h e h a m m e r K E = \frac{1}{2} m v^{2} 20 = \frac{1}{2} \times 1 \times v^{2} v^{2} = 40 v = 6.32 m / s$

No velocity of hammer does not depend on the mass of the mass of the hammer.
v = u + at
this equation does not contain any mass.

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