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VITEEE 2017 Solved Paper
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© examsnet.com
Question : 11
Total: 125
A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision, their final velocities are V and v respectively. The value of v is
2
u
M
m
2
u
m
M
2
u
1
+
m
M
2
u
1
+
M
m
Validate
Solution:
By law of conservation of momentum,
Mu = MV + mv ... (i)
Also e =
|
v
1
−
v
2
|
|
u
1
−
u
2
|
⇒ Mu = Mv - MV ... (ii)
From (i) and (ii), 2Mu = (M + m)v
⇒ v =
2
u
M
M
+
m
⇒ v =
2
u
1
+
m
M
© examsnet.com
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