A bullet of mass 0.020 kg is fired; it strikes the wooden block of 0.50kg and sticksin it. The bullet and wooden block move off together with a velocity of 100 m/ s.What is the momentum of the bullet with wooden block?(A) 2 kg m/ s (B) 50 kg m/ s (C) 52 kg m/ s (D) 70 kg m/ s
Question
A bullet of mass 0.020 kg is fired; it strikes the wooden block of 0.50kg and sticksin it. The bullet and wooden block move off together with a velocity of 100 m/ s.What is the momentum of the bullet with wooden block?(A) 2 kg m/ s (B) 50 kg m/ s (C) 52 kg m/ s (D) 70 kg m/ s
Solution
The momentum of an object is calculated by multiplying its mass by its velocity. In this case, the bullet and the wooden block are moving together after the bullet strikes the block, so we add their masses together and then multiply by their common velocity.
The mass of the bullet is 0.020 kg and the mass of the block is 0.50 kg. Adding these together gives a total mass of 0.520 kg.
The common velocity of the bullet and block is 100 m/s.
So, the momentum (p) can be calculated using the formula:
p = mv
where: m is the mass, v is the velocity.
Substituting the given values into the formula gives:
p = 0.520 kg * 100 m/s = 52 kg m/s
So, the momentum of the bullet with the wooden block is 52 kg m/s. Therefore, the correct answer is (C) 52 kg m/s.
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