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AP EAMCET202423 May 2024Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A soccer ball of mass 250 g is moving horizontally to the left with a speed 22 ~ms ⁻¹ . This ball is kicked towards right with a velocity 30 ~ms ⁻¹ at an angle 53^ with the horizontal in upward direction. Assuming that it took 0.01 s for the collision to take place, the average force acting is ( 53^ = 3 5 ; 53^ = 4 5 )

Options

  1. A1000 N
  2. B986 N
  3. C1166 N
  4. D2000 N

Correct answer

C. 1166 N

Step-by-step solution

t =0.01 ~s Change in momentum, aligned & P _ x = m ( v 53^ - u ) & = 1 4 [30 3 5 -(-22) ]=10 Ns & P _ y = mv 53^ = 1 4 30 4 5 =6 Ns & P P _ x ^2+ P _ y ^2 = (10)^2+(6)^2 = 136 aligned Average force, P t = 136 0.01 =1166 ~N

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