Question

The pulley is assumed massless and frictionless and rotates freely about its axle. The
blocks have masses m1 = 40 g and m2 = 20 g, and block m1 is pulled to the right by a
horizontal force of magnitude F = 0.03 N. Find the magnitude of the acceleration of block m2 and the tension in the cord if the surface is frictionless

Answer 1

The magnitude of the acceleration of block m2 is 0.5 m/s² and the tension in the cord if the surface is frictionless is 0.02 N.

Acceleration of block m2

The acceleration of bock m2 is calculated from Net force exerted by the pulley.

F - T = m2a

F - m1a = m2a

F = m2a + m1a

F = a(m2 + m1)

a = F/(m1 + m2)

a = (0.03) / (0.04 + 0.02)

a = 0.5 m/s²

Tension in the cord

T = m1a

T = 0.04 x 0.5

T = 0.02 N

Thus, the magnitude of the acceleration of block m2 is 0.5 m/s² and the tension in the cord if the surface is frictionless is 0.02 N.

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