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masha68 [24]
3 years ago
7

A bullet of mass 0.093 kg traveling horizontally at a speed of 100 m/s embeds itself in a block of mass 2.5 kg that is sitting a

t rest on a nearly frictionless surface. (a) What is the speed of the block after the bullet embeds itself in the block?
Physics
1 answer:
Gekata [30.6K]3 years ago
6 0

Explanation:

It is given that,

Mass of the bullet, m₁ = 0.093 kg

Initial speed of bullet, u₁ = 100 m/s

Mass of block, m₂ = 2.5 kg

Initial speed of block, u₂ = 0

We need to find the speed of the block after the bullet embeds itself in the block. Let it is given by V. On applying the conservation of linear momentum as :

m_1u_1+m_2u_2=(m_1+m_2)V

V=\dfrac{m_1u_1+m_2u_2}{(m_1+m_2)}

V=\dfrac{0.093\ kg\times 100\ m/s+0}{(0.093\ kg+2.5\ kg)}

V = 3.58 m/s

So, the speed of the bullet is 3.58 m/s. Hence, this is the required solution.

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