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.

Respuesta :

Answer:

22.02 m

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 = [tex]\dfrac{work\ done}{time}[/tex]

69.4 = [tex]\dfrac{W}{33}[/tex]

W = 2290.2 J

Work done= Force x displacement

displacement= [tex]\dfrac{2290.2}{104}[/tex]

                      = 22.02 m