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

1 Answer
Apr 20, 2018

#v= 4m/s#

Explanation:

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

#W= Fd#

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

#d= "360J"/"20N"#

#d= 18 m#

And since this distance is covered at a constant velocity:
#d/t=v#

#"18m"/"4.5s"=v#

#v= 4m/s#