Work Energy And Power Question 154
Question: A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is [AFMC 1981, 94, 2000; NCERT 1971; MNR 1998]
Options:
A) $ \frac{c}{a+b}\cdot b $
B) $ \frac{a}{a+c}\cdot b $
C) $ \frac{a+b}{c}.a $
D) $ \frac{a+c}{a}\cdot b $
Show Answer
Answer:
Correct Answer: B
Solution:
Initially bullet moves with velocity b and after collision bullet get embedded in block and both move together with common velocity.
By the conservation of momentum
therefore a ´ b + 0 = (a + c) V
therefore $ V=\frac{ab}{a+c} $
