Question

Two objects (48.0 and 25.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.

Answer 1

a. 3.09 m/s^2

b. 322.52 N

Step-by-step explanation:

The computation of the acceleration of the object and the tension of the string is as follows:

The acceleration of the system is a

= (m1 - m2) × g ÷ (m1 + m2)

= (48 - 25) × 9.81 ÷ (48 + 25)

= 3.09 m/s^2

b. The tension in the string is T

= 2 × m1 × m2 × g÷ (m1+m2)

= (2 × 48 × 25 × 9.81) ÷ (48 + 25)

= 322.52 N