9) The next two questions are about the following situation: A box of mass m = 4

Question

9)

The next two questions are about the following situation:


A box of mass m = 4 kg is being pulled by a horizontal string across the top of a second box having a mass M = 10 kg. The tension force in the string is T = 40 N. The static and kinetic coefficients of friction between the upper box and the lower box are s = 0.6 and k = 0.25, respectively. There is no friction between the lower box and the floor.

Which of the following is the free body diagram for the lower box (mass M)?

A

B

C

D

E

F

10)

What is aM,x, the x-component of the acceleration of the bottom block?

aM,x = 2.45 m/s2

aM,x = 0.981 m/s2

aM,x = 2.86 m/s2

aM,x = -0.981 m/s2

aM,x = -2.45 m/s2

aM,x = -2.86 m/s2

Explanation / Answer

9) Correct option is (c)

10) Net force on M along horizontal direction

-uk*mg = Ma

a = uk*mg/N= -4*0.25*9.81/10

a = - 0.981 m/s^2

correct option is - 0.981 m/s^2

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