Newtonian Dynamics: Mowing a Lawn

[JennV]

Homework Statement

A gardener mows a level lawn with an old-fashioned push mower. The handle of the mower makes an angle of 39 degrees with the surface of the lawn. A 111 N force is applied along the handle of the 17.0 kg mower.

Neglecting friction, how long does it take for the mower to accelerate through 2.90 m from rest?

Homework Equations

x=Vot+1/2at^2

The Attempt at a Solution

I have already found the Normal force to be 236.6245634N.

 

[The legend]

take component of force in horizontal direction and find acceleration.(force - acceleration relation)
Use your relevant equation then.

 

[JennV]

take component of force in horizontal direction and find acceleration.(force - acceleration relation)
Use your relevant equation then.

Thank you so much for replying to me. But one more question, component of force in horizontal direction, as in the normal force or applied force?

 

[The legend]

Your are welcome

applied force... that's because its the force causing displacement.

 

[The legend]

yeah... and i forgot the normal reaction does not play any role in the horizontal displacement of the machine(in this case) so there's no need to calculate it.

 

[JennV]

I got the question correct and finished on time! Thank you once again! =D