A light rope is attached to a block with mass 4.00 kg that rests on a frictionle

Question

A light rope is attached to a block with mass 4.00 kg that rests on a frictionless horizontal surface. The horizontal rope passes over a                     frictionless, massless pulley, and a block with a mass m is suspended from the other end. When the blocks are released the tension in the rope is 10.0 N. a)                     Draw two free-body diagrams, one for the 4.00-kg block and one for the block with mass m. b) What is the acceleration of the blocks? c) Find the mass m of the                     hanging block? d) How does the tension compare to the weight of the hanging block ?

Explanation / Answer

from free body diagram of the block on the horizontal surface

b.we get, T = 5a

so a = 10/5 = 2 m/s^2

c. . from the free body diagram of the hanging block we get

mg - T = ma

so m = T/(g-a) = 10/(9.8-2) = =1.282 kg

d. the relation between weight of the hanging block and Tension is m = T/(g-a)

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