a 50g ball moving in the posititive x direction with a speed of 2.0m/s strikes a

Question

a 50g ball moving in the posititive x direction with a speed of 2.0m/s strikes a stationary 80g ball and glances off at an angle of 37 to the positive X axis after the collision the 50g ball has a speed of 160cm/s

a)what is the velocity of the 80g ball after the collision

b)was the collision perfectly elastic? (Substantiate you answer by calculation.)

A 50 g ball moving in the positive X direction with a speed of 2.0 m/s strikes a stationary 80g ball and glances off at an angle of37° to the positive X axis. After the collision, the 50 g ball has a speed of 160 cm/s. What is the velocity of the 80 g ball after the collision? Was the collision perfectly elastic? (Substantiate your answer by calculation.) a) the collision perfectly elastice Su b)

Explanation / Answer

from the conservation of momentum

along x axis

m1u1x+m2u2x = m1v1x+m2v2x

u2 = 0

u1 = 2 m/s

v1 = 1.6 m/s

v2 = ?

50*200 = 50*160cos37+80*v2x

80v2x = 3610.92

v2x = 45.1365 cm/sec

along y axis

m1u1y+m2u2y = m1v1y+m2v2y

m2v2y = -m1v1y

v2y = -60.18 cm/sec

v2 = sqrt(v2x^2+v2y^2) = 75.227 cm/s = 0.75 m/sec

initial kinetic energy = 1/2m1u1^2 = 0.1 J

final kinetic energy = 1/2m1v1^2+1/2m2v2^2 = 0.0865 J

so some energy is lost during the collision so it is not elastic collision

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