(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A person pushes a 14.0-kg lawn mower at constant speed with a force ofF= 88.0N directed along the handle, which is set at an angle of 45 degrees to the horizontal. (a) Draw the free-body diagram showing all forces acting on the mower. Calculate (b) the horizontal friction force on the mower, then (c) the normal force exerted vertically upward on the mower by the ground. (d) What force must the person exert on the lawn mower to accelerate it from rest to 1.5 m/s in 2.5 seconds, assuming the same friction force?

2. Relevant equations

m = 14 kg

g = 9.8 m/s^{2}

t = 2.5 seconds

F = ma

N_{F}= mg

v = v_{0}+ at

3. The attempt at a solution

(a) I did the free-body...simple

(b) 88cos(45)-friction force=ma a=0 therefore, 88cos(45)=horizontal friction force= 62N

(c) N_{F}= mg+88sin(45) --> N_{F}= (14)(9.8)+88sin(45)=199.425N

(d) I used the last equation that I put down and i got the acceleration to be .6 m/s^{2}and I don't know what to do afterwards.

I just think that I'm wrong in every single one...except the free-body =)

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# Homework Help: Newton's Laws and a lawn mower

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