A man is standing on a cart of mass double the mass of the man. Initially the cart is at rest. Now the man jumps horizontally with a velocity u relative to the cart. Then calculate the work done by the man during the process of jumping.
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Explanation:
2mv=m(u−v)
∴v=
3
u
∴u−v=
3
2u
KE=
2
1
×m(
3
2u
)
2
+
2
1
(2m)(
3
u
)
2
=
3
1
mu
2
Using Work Energy Theorem
Work Done = Change in kinetic Energy
W=
3
1
mu
2
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