A baseball having a mass of `0.4 kg` is thrown such that the force acting on it varies with time as shown in the first graph. The correspondeng velocity time gragh is shown in the second graph. Detemine the power applied as a functon time and the work done till `t=0.3 s`.

Answer

A, B, C

Explanation

For `t le 0.2s`
`F=800 N` and `v=((20)/(0.3))t`
`:. P=Fv=(53.3t)kW`
For `tgt0.2s`
`F=800-((800)/(0.1)) (t-0 .2)` and `v=(20)/(0.3)t`
`:. P=Fv=(160t-533t^(2))kW`
`W=int_(0)^(0.2)(53.3 t)dt +int_(0.2)^(0.3)(160 t-533t^(2))dt`
`=1.69 kJ`.