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Question: A man holds a ball of mass (1/2) kg in his hand. He throws it vertically upward. During this process...

A man holds a ball of mass (1/2) kg in his hand. He throws it vertically upward. During this process his hand moves up by 40 cm and the ball leaves his hand with an upward velocity of 4ms-1. The constant force with which the man pushes the ball is

A

2N

B

10 N

C

15 N

D

7 N

Answer

15 N

Explanation

Solution

Acceleration of the ball

a = v22s\frac{v^{2}}{2s} = 422x0.4\frac{4^{2}}{2x0.4} = 20 m/s2

Hence force applied by the man = m(a+g)=12(20+10)m(a + g) = \frac{1}{2}(20 + 10) = 15 N

Hence the correct choice is