In the previous question, if agtmusg, fi...

In the previous question, if `agtmu_sg`, find the work done by friction on the block during time t.

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When `agtmu_sg`, the block will slide relative to the plank. Hence, kinetic friction comes into play.

The work done by `f_k` is
`W_(f_1)=f_ks_1` (i)
`s_1=1/2a_1t^2` (ii)
`f_k=mu_kmg` (iii)
`a_1=mu_kg` (iv)
Then, `W_(f_1)=m/2mu_k^2g^2t^2`

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