Question

A 46.0-kg box is being pushed a distance of 8.80 m across the floor by a force P whose magnitude is 171 N. The force P is parallel to the displacement of the box. The coefficient of kinetic friction is 0.250. Determine the work done on the box by (a) the applied force, (b) the friction force, (c) the normal force, and (d) by the force of gravity. Be sure to include the proper plus or minus sign for the work done by each force.

Answer 1

a) 1504.8 J

b) 991.76 J

c) 0J

d) 0J

Step-by-step explanation:

(a) The work done by the force P on the box is given by the following formula:

`W_P=Px`

P: applied force = 171N

x: distance in which the for P is applied = 8.80m

you replace the values of P and x and obtain:

`W_P=(171N)(8.80m)=1504.8J`

(b) The work don by the friction force is:

`W_f=F_fx=\mu N x=\mu Mg x`

μ = coefficient of kinetic friction = 0.250

M: mass of the box = 46.0kg

g: gravitational constant = 9.8 m/s^2

`W_f=(0.250)(46.0kg)(9.8m/s^2)(8.80m)=991.76J`

(c) The Normal force is

`N=Mg=(46.0kg)(9,8m/s^2)=450.8N`

but this force does not do work on the box because the direction is perpendicular to the direction of the force P.

`W_N=0J`

(d) the same as before:

`W_g=0J`