A painter of mass 100 kg is in a suspended crate of mass 25 kg and pulls a rope over the pulley shown. The force he exerts on the floor is 450 N. Find the painter/crate acceleration (m/s²), using g=10 m/s².
Physics · Mixed Chapter
JEE Main Practice

Question

A painter of mass 100 kg is in a suspended crate of mass 25 kg and pulls a rope over the pulley shown. The force he exerts on the floor is 450 N. Find the painter/crate acceleration (m/s²), using g=10 m/s².

Physics · Mixed Chapter

G1 Physics · Accepted Answer

Step 1: Let upward acceleration be a and rope tension T. On the painter: T+450−1000 =100a ⇒ T=550+100a. Step 2: Taking painter+crate together, the support force is 2T and weight is 1250 N. Thus 2T−1250=125a. Step 3: Substitute 2(550+100a)−1250=125a ⇒75a=150. Step 4: a = 2 m/s² upward.