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A small body of mass m is located on a h...

A small body of mass m is located on a horizontal plane at the point O. The body of mass m is located on a horizontal plane at the point O. The body acquires a horizontal velocity `v_0`. Find,
(a) the mean power developed by the friction force during the whole time of motion, if the friction coefficient `k=0.27`, `m=1.0kg`, and `v_0=1.5m//s`,
(b) the maximum instantaneous power developed by the friction force, if the friction coefficient varies as `k=alphax`, where `alpha` is a constant, and x is the distance from the point O.

Text Solution

Verified by Experts

`barP=1/Tunderset0oversetTintP*dt`
`=1/Tunderset0oversetTintmumg(v_0-mug t)dt` (numerically)
`(mumg)/(T)(v_0T-(mugT^2)/(2))`
`=mumg(v_0-(mugT)/(2))`
where `T=(v_0)/(mug)impliesbarP=(mumgv_0)/(2)=(0.27xx1xx9.8xx1.5)/(2)`
`implies barP=2.025W`
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