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A box of mass 20 kg displacing along the positive x-axis is subjected to a push

ID: 1514083 • Letter: A

Question

A box of mass 20 kg displacing along the positive x-axis is subjected to a push force of 100 N, a pull force of 50 N (both horizontal and in the positive x-direction), and friction, for which the interface has a coefficient of kinetic friction of 0.2. Calculate the net force along the axis of displacement.

A. 11 N B. 47 N C. 111 N D. 150 N E. 39 N

If this net force in problem 4 acts for a time of 2.7 s, and the box was initially at rest, calculate the net work done during this time.
A. 111 J

B. 150 J

C. 39 J

D. 1500 J

E. 2220 J

Calculate the work done by friction from the above problem (4).
A. 150 J

B. -1110 J

C. 784 J

D. -150 J

E. -784 J

Explanation / Answer

frictional force fk = uk*m*g

net force Fnet = Fpush + Fpull - fk

Fnet = 100 + 50 - (0.2*20*9.8) = 111 N

option (c)

+++++++++++++++++++


acceleration a = Fnet/m = 111/20 = 5.55 m/s^2

displacement x = 0.5*a*t^2 = 0.5*5.55*2.7^2 = 20.2 m

work = Fnet*x = 111*20.23 = 2220 J

option E


+++++


Wf = fk*x = - uk*m*g*x = -784 J

option E