JEE Main20244 Apr 2024Evening ShiftPhysicsWork, Power and EnergyActual
A body of m ~kg slides from rest along the curve of vertical circle from point A to B in friction less path. The velocity of the body at B is: (given, R=14 ~m , g=10 ~m / s ^2 and 2 =1.4 )
Options
- A16.7 ~m / s
- B19.8 ~m / s
- C10.6 ~m / s
- D21.9 ~m / s
Correct answer
D. 21.9 ~m / s
Step-by-step solution
Apply W.E.T. from A to B aligned & W _ mg = K _ B - K _ A & mg ( R 2 + R )= 1 2 mv _ B ^2-0 v _ A =0 rest & mgR ( 2 +1) 2 = 1 2 mv _ B ^2 & gR 2( 2 +1) 2 = v _ B & 10 14 2(2.4) 1.4 = v _ B & 21.9= v _ B aligned