Question

Hailstorms are observed to strike the surface of a frozen lake at an angle of 30° with the vertical and rebound at an angle of 60° with vertical.Assuming the contact to be smooth the coefficient of restitution is

Answer 1

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Comparing velocities before and after collision parallel to the plane surface

vsin60∘=usin30∘

Comparing components of velocity normal to the surface

vcos60=eucos30∘

cot60=ecot30∘

e= cot60÷ cot30

e= 1/√3 ÷√3

e= 1/3

Answer 2

Answer:

1/3

Explanation:

         vsin60=usin30

         vcos60  =eu(cos30

⇒cot60 =ecot30

⇒e= cot30 /cot60  

⇒e= 1/root3÷root 3

⇒e​=1/3