two spheres each of mass M is moving with velocity U moving in directions at 30 degree south of east end 30 degree north of East respectively collide at point O nd stick to each other velocity of the combination later becomes
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@ = 30°
momentum will be conserved..
in North-South direction,
Pi = MU sin(@) - MU sin(@) = 0..
so, pf = 0
in East direction:
let final Velocity = V
pi = of
=> MU cos(@) + MU vos(@) = 2MV
=> V = 2MU cos(@) / 2M = U cos(@) = U√3/2..... ans...
momentum will be conserved..
in North-South direction,
Pi = MU sin(@) - MU sin(@) = 0..
so, pf = 0
in East direction:
let final Velocity = V
pi = of
=> MU cos(@) + MU vos(@) = 2MV
=> V = 2MU cos(@) / 2M = U cos(@) = U√3/2..... ans...
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for this question... apply Conservation of Momentum.. and find the Velocity of combined mass.. then.. apply Conservation of Energy at initial and final position... at final position if speed is "u" then it will have centrifugal force, tension and weight ... find the eqn interms of these forces and angle along the string.... you will get the value of Tension....
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