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A projectile of mass 2 kg has velocities...

A projectile of mass 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 perpendicular to each other, then the minimum kinetic energy of the particle during its flight is:

Text Solution

Verified by Experts

`V_(1)cosalpha = V_(2)cos(90-alpha)`
`3cosalpha = 4sinalpha`
`tan alpha = (3)/(4) `

`KE_(min) = (1)/(2)mv_(1)^(2)cos^(2)alpha`
`= (1)/(cancel2)xxcancel(2)xx3xx((4)/(5))^(2) = (9xx16)/(25) =` 5.76J
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