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Grade: 11
        
as shown in the figure two identical balls strike a rigid wall with equal speeds but at different angles they are reflected back without loss of speed the ratio of impulse imparted by the two balls on the walls is
A sin@
Cos@ 
Cosec@ 
Sec@
19 days ago

Answers : (1)

Arun
16138 Points
							
Let the angle of incidence of ball 1 onto the wall be = A
Let the angle of incidence of the ball 2 be = B
Let the speed of the balls just before striking the wall = v
The velocity vectors (incident and reflected) are resolved along the normal to the wall and along the wall.
For the change in velocity of ball 1 = vf - vi
       = (v cos A j + v sin A i) - (v sin A i - v cos A j)
        = 2 v cos A j
Impulse = change in the momentum of ball 1 = 2 m v cos A  j
So the direction of force = direction of momentum = normal to the wall, coming out of the wall.
ratio of impulses =  (2 m v cos A) / (2 m v Cos B) = cosA / cos B
  = ratio of cosines of angles of incidence.
 
 
19 days ago
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