AP EAMCET202419 May 2024Evening ShiftPhysicsLaws of MotionActual
Two blocks of masses m and 2 m are connected by a massless string which passes over a fixed frictionless pulley. If the system of blocks is released from rest, the speed of the centre of mass of the system of two blocks after a time of 5.4 s is (Acceleration due to gravity =10 ~ms ⁻² )
Options
- A6 ~ms ⁻¹
- B8 ~ms ⁻¹
- C4 ~ms ⁻¹
- D12 ~ms ⁻¹
Correct answer
A. 6 ~ms ⁻¹
Step-by-step solution
aligned & a = ( m ₂- m ₁ ~m ₁+ m ₂ ) g = ( 2 ~m - m 2 ~m + m ) 10 & = 10 3 ~ms ⁻² aligned After time, t =5.45 aligned & v ₁= v ₂= at = 10 3 5.4=18 ~ms ⁻¹ & v _ cm = m ₂ v ₂- m ₁ v ₁ ~m ₁+ m ₂ = 18(2 ~m - m ) ( m +2 ~m ) & =6 ~ms ⁻¹ aligned