A worker does work of 360 J against a friction force of 20 N in pushing a body with a uniform velocity for 4.5 s find the value of velocity?

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A worker does work of 360 J against a friction force of 20 N in pushing a body with a uniform velocity for 4.5 s find the value of velocity?

a worker does work of 360 J against a friction force of 20 N in pushing a body with a uniform velocity for 4.5 s find the value of velocity

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Answer 1 · 2018-04-20T23:34:48

$v = 4 \frac{m}{s}$ $v= 4m/s$

Explanation:

To maintain a net force of $0 N$ $0N$ in order to move at a uniform velocity, the force of friction must be counteracted, therefore the force applied by the person is $20 N$ $20N$

$W = F d$ $W= Fd$

Given that the work done is $30 J$ $30J$
and the force applied is $20 N$ $20N$

$d = \frac{360J}{20N}$ $d= "360J"/"20N"$

$d = 18 m$ $d= 18 m$

And since this distance is covered at a constant velocity:
$\frac{d}{t} = v$ $d/t=v$

$\frac{18m}{4.5s} = v$ $"18m"/"4.5s"=v$

$v = 4 \frac{m}{s}$ $v= 4m/s$

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A worker does work of 360 J against a friction force of 20 N in pushing a body with a uniform velocity for 4.5 s find the value of velocity?