Question
A 50 g bullet moving with velocity 10 m/s strikes a block of mass 950 g at rest and gets embedded in it. The loss in kinetic energy will be
Answer: Option B
:
B
Initial K.E. of system = K.E. of the bullet = 12msv2s
By the law of conservation of linear momentum
msvs+0=msys×vsys
⇒vsys=msvsmsys=50×1050+950=0.5m/s
Fractional loss in K.E. = 12msv2s−12msysv2sys12msv2s
By substituting ms=50×10−3kg,vs=10m/s
msys=1kg,vsys=0.5m/s we get
Fractional loss = 95100 ∴ Percentage loss = 95 %
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:
B
Initial K.E. of system = K.E. of the bullet = 12msv2s
By the law of conservation of linear momentum
msvs+0=msys×vsys
⇒vsys=msvsmsys=50×1050+950=0.5m/s
Fractional loss in K.E. = 12msv2s−12msysv2sys12msv2s
By substituting ms=50×10−3kg,vs=10m/s
msys=1kg,vsys=0.5m/s we get
Fractional loss = 95100 ∴ Percentage loss = 95 %
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