a bullet of mass 10 g moving with a velocity of 400m per s gets empledded in a free suspended wooden block of mass 900g velocity acquired by the block? explain step by step
Answers
Answer:
Here, Mass of the bullet,
<br>
kg <br> =0.01 kg <br> And, Velocity of the bullet,
=400 m/s <br> So, Momentum of bullet=
<br>
…….(1) <br> Now, this bullet of mass 10 g gets embedded into a wooden block of mass 900 g . So ,the mass of wooden blockk alongwith the embedded bullet will become 900+10=910 g. Thus, <br> Mass of wooden block+Bullet,
<br> =910 g <br>
kg <br> =0.91 kg <br> And, Velocity of wooden block+bullet,
(To be calculated) <br> So, Momentum of wooden block+bullet=
<br>
kg.m/s...(2) <br> Now, according to the law of conservation of momentum, the two momenta as given by equations (1) and (2) should be equal. <br> So,
<br> or 0.01
<br> And,
<br> =4.4 m/s <br> Thus, the velocity acquired by the wooden block (having the bullet embedded in it) is 4.4 metres per second.
Explanation:
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We are given that a bullet of mass 10 g moving with a velocity of 400 m/s gets embedded in a freely suspended wooden block of mass 900 g.
Let the final velocity acquired by the block be 'v m/s'.
The mass of the bullet = = 10 g =
= 0.01 kg
The mass of the wooden block = = 900 g =
= 0.9 kg
Also, the initial velocity of the bullet is given by = = 400 m/s
and the initial velocity of the wooden block is given by = = 0 m/s
Now, the momentum conservation of law states that;
Momentum before collision = Momentum after collision
=
= = 4.4
So, v = 4.4 m/s which means this is the velocity acquired by the block.
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