Physics, asked by maheshwarisrihand, 7 months ago

from a rifle of mass 7kg a bullet of mass 200 gram is fired with initial velocity 35m/s the recoil velocity of rifle will be​

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Answered by nandani00364088
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Question From class 9 Chapter FORCE AND LAWS OF MOTION

From a rifle of mass

, a bullet of mass

is fired with an initial velocity of

. Calculate the initial recoil velocity of the rifle.

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Text Solution

Solution :

We will first calculate the momentum of bullet and of the rifle separately and then apply the law of conservation of momentum. <br> (i) Momentum of bullet=Mass of bullet

Velocity of bullet <br>

<br>

<br>

.....(1) <br> (ii) Suppose the recoil velocity of the rifle is v

. So, <br> Momentum of rifle=Mass of rifle

Velocity of rifle <br>

<br>

<br> Now, according to the law of conservation of momentum: <br> Momentum of bullet=Momentum of rifle <br> So, 1.75=4v <br> And

<br>

<br> Thus, the recoil velocity of the rifle is 0.4375 metres per second.

Explanation:

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Answered by Meghatri
0

Explanation:

Mass of the rifle (m1) = 4 kg

Mass of the bullet (m2) = 50 g =  0.05 kg

Recoil velocity of the rifle = v1

A bullet is fired with an initial velocity (v2) = 35 m/s

Initially, the rifle is at rest.

Thus, its initial velocity (v) = 0

Total initial momentum of the rifle and bullet system

⇒  (m1+m2) × v = 0

The total momentum of the rifle and bullet system after firing

= m1v1 + m2v2

= (4 × v1 ) + (0.05 × 35)

= 4v1 + 1.75

According to the law of conservation of momentum

Total momentum after the firing = Total momentum before the firing

4v1 + 1.75 = 0

v1= -1.75 / 4

v1 = – 0.4375 m/s

The negative sign indicates that the rifle recoils backwards with a velocity of 0.4375 m/s.

I HAVE GIVEN ANOTHER SOLUTION BUT THE QUESTION IS THE SAME ONLY THE SIGITS ARE DIFFERENT .YOU TRY TO MAKE IT YOURSELF USING YOUR VALUES OF THE QUESTION .

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