1.

A gun weighing 100 kg is used to fire an iron ball weigh ing 1 kg horizontally from a cliff of height 500 m above the ground. The ball falls 400 m away from the bottom of the cliff. What is the recoil velocity of the gun? (Take g =10 ms^(-2))

Answer»

`0.8 MS^(-1)`
`0.4 ms^( -1)`
`1.2 ms^(-1)`
`0.2 ms^(-1)`

Solution :Here `H=(1)/(2)g t^ (2)`

`:.t^(2)=(2h)/(g)=(2xx500)/(10)`
`t=10 SEC`
Also `x=ut`
`:.u=(x)/(t)=(400)/(10)`
`=40 m sec^(-1)`
Now recoil velocity `V=(mu)/(M)`
`V=(1xx40)/(100)=0.4 ms^(-1)`
Hence (b) is the right CHOICE


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