A ball moving at a speed of 2.2 m/s strikes an identical stationary bail with a

Question

A ball moving at a speed of 2.2 m/s strikes an identical stationary bail with a glancing blow. After the collision one ball is found to be moving at a speed of 1.1 m/s in a direction making a 60 degree angle with the original line of motion. (a) Find the velocity of the other ball. (Hint: Draw good ''before'' and ''after'' pictures for the collision.) Show all work using fundamental physics principles leading to an answer, (b) Can this collision be elastic, given these data? 2. Two ice skaters, Daniel (75.0 kg) and Rebecca (45.0 kg), are skating towards one another as shown below. They embrace when they collide. Find the velocity of the couple (magnitude and direction)

Explanation / Answer

u1 =2.2 m/s, m1=m2=m, v1 =1.1 m/s

v1x =1.1 cos(60) = 0.55 m/s

v1y =1.1 sin(60) =0.95 m/s

(a) From conservation of momentum along x -direction

m1u1x+m2u2x =m1v1x+m2v2x

2.2m = 0.55m+mv2x

v2x = 1.65 m/s

From conservation of momentum along y -direction

m1u1y+m2u2y =m1v1y+m2v2y

0+0 = 0.95m+mv2y

v2y = -0.95 m/s

v2 =[v2x)^2 +(v2y)^2]^1/2

v2 = [(1.65)2+(-0.95)2]1/2

v2 = 1.9 m/s

(b) inelastic collision,

Velcoity of two identicals after collision is not equal. so it is inelastic colliision

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