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A mass (m1=4kg) slides on a rough horizontal surface with a kinetic coefficient

ID: 1424835 • Letter: A

Question

A mass (m1=4kg) slides on a rough horizontal surface with a kinetic coefficient of friction=0.7. A second mass (m2=3kg) is attached to m1 by a light string draped over a light, frictionless pulley. A force (F) is applied to m1 causing the system to move with a constant speed to the left. a) What is the tension in the string? b) What is the magnitude of F? c) if F is removed, what coefficient of static friction would be required between the horizontal surface and m1 to keep the system from moving?

Explanation / Answer

a) T+µkm1g=F

T=m2g=3g

b) F=3g-0.7(4g)

F=0.2g

c)µsm1g=T=3g

µs=3/m1=3/4=0.75

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