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A projectile of 2 kg has velocities 3 m/...

A projectile of `2 kg` has velocities `3 m//s` and `4 m//s` at two points during its flight in the uniform gravitational field of the earth. If these two velocities are `_|_` to each other then the minimum `KE` of the particle during its flight is

Text Solution

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`v_(1) cos alpha=v_(2) cos(90-alpha)`
` 3 cos alpha=4 sin alpha`
`tan alpha=(3)/(4)`
`KE_("min")=(1)/(2)mv_(1)^(2) cos^(2) alpha`

`=(1)/(2)xx2xx3^(2)xx((4)/(5))^(2)=(9xx16)/(25)=5.76J`
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