Question

A lawn roller is rolled across a lawn by a force of 107 N along the direction of the handle, which is 13.5 ◦ above the horizontal. If the lawn roller develops 69.4 W of power for 33 s, what distance is the roller pushed? Answer in units of m.

Answer 1

22.02 m

Step-by-step explanation:

given,

Force, F = 107 N

angle made with horizontal = 13.5◦

Power develop by the lawn roller = 69.4 W

time = 33 s

distance = ?

Force along horizontal= F cos θ

= 107 cos 13.5°= 104 N

Power =
`(work\ done)/(time)`

69.4 =
`(W)/(33)`

W = 2290.2 J

Work done= Force x displacement

displacement=
`(2290.2)/(104)`

= 22.02 m