A ball is allowed to fall from a height of $$10 \mathrm{~m}$$. If there is $$30 \%$$ loss of energy due to impact, then after one impact ball will go up to.

A toy gun uses a spring of force constant $$k$$. When charged before being triggered in the upward direction, the spring is compressed by a distance $$x$$. If the mass of the shot is $$m$$, on being triggered it will go upto a height of

A particle of mass $$m$$ is moving in a horizontal circle of radius $$r$$ under a centripetal force given by $$\left(-k / r^2\right)$$, where $$k$$ is a constant. Then

The power $$(P)$$ of an engine lifting a mass of $$100 \mathrm{~kg}$$ upto a height of $$10 \mathrm{~m}$$ in $$1 \mathrm{~min}$$ is