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In a region , an electroc field E = 10NC^(-1) making an angle of theta = 30^@ with the horizontal plane is present. Coefficient of restitution between ball and surface is e = 0.2. Ball has charge q = -2C over it and mass m= 2 kg . Ball is projected at an angle of theta = 30^@ with the horizontal with speed u = 10ms^(-1) After first impact with the ground, |
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Answer» the ball REBOUNDS at an angle `30^@` with the HORIZONTAL `5t-(1)/(2)15t^(2)=0` or `t=(2)/(3)s` At time `t=2//3` s the displacement in x-direction `x=5sqrt(3)((2)/(3))-(1)/(5)5sqrt(3)((2)/(3))^(2)=(20)/(3sqrt(3))m` After impact with the surface, velocity along vertical direction `u'^(y)=eu_(y)=0.2xx5=1ms^(-1)` velocity along the horizontal direction after time `T_(1)` `u'_(x)=eu_(x)+a_(x)T_(1)=5sqrt(3)-5sqrt(3)xx(2)/(3)=(5)/(sqrt(3))ms^(-1)` The ball rebounds in the vertical direction with velocity1 `ms^(-1)` |
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