SaraNextGen Study App [2022-23]
Last Updated On 23-10-2022 - By Sara

A bullet of mass 0.01 kg and travelling at a speed of 500 m/s strikes a block of 2 kg which is suspended by a string of length 5m. The centre of gravity of the block is found to rise a vertical distance of 0.1m. What is the speed of the bullet after it emerges from the block?

a)

200 m/s

b)

220 m/s

c)

204 m/s

d)

284 m/s


Question ID - 100190 :-

A bullet of mass 0.01 kg and travelling at a speed of 500 m/s strikes a block of 2 kg which is suspended by a string of length 5m. The centre of gravity of the block is found to rise a vertical distance of 0.1m. What is the speed of the bullet after it emerges from the block?

a)

200 m/s

b)

220 m/s

c)

204 m/s

d)

284 m/s

1 Answer
5876 Votes
3537

Answer Key : (b) -

(b)

Suppose the velocity of the bullet of mass  is  and it strikes the block of mass . After collision, the linear velocity of the block is  and that of the bullet is

Applying  law of conservation of linear momentum, we get

Or  500  0.01 = 2  +0.01

Or  5 = 2  + 0.01 (i)

Now, the kinetic energy gained by the block   raises it to a height  where it gains gravitational potential energy  By conservation of energy, we get

Or    m/s

Putting the value of in Eq. (i), we get

or m/s



Next Question :

A disc of radius  rolls on a horizontal ground with linear acceleration  and angular acceleration  as shown in Figure. The magnitude of acceleration of point  asshown in the figure at an instant when its linear velocity is  and angular velocity is  will be

a)

b)

c)

d)


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