Question

10 kg mass moving at 5 metre per second collides head on with a 4 kg mass moving at 2 metre per second in same direction if e is equal to one half find their velocity after impact​

Answer 1

Answer:

<--- 5 kg with 7.5 m/s

-----> 4 kg with 18.25 m/s

Explanation:

MU + mu = MV + mv

10*5 + 4*2 = 10V + 4v

50 + 8 = 10V + 4v

10V + 4v = 58

5V + 2v = 29 ....(1)

Now, e = 1

-(V-v)/(U-u) = 0.5

V-v = (2-5)0.5

V-v = -3(0.5)

(29-2v)/5 = -3(0.5)

29 - 2v = -15(0.5)

2v - 29 = 15(0.5)

v = 36.5/2 = 18.25

From (1),

5V = 29-2v

= 29-2(18.25)

= 29-36.5

V = -7.5

= -7.5