Question

Bullets of 40g mass each hit a plate at the rate of 100 bullet per second, with a velocity of 60m/s and reflect back with a velocity of 30m/s. The average force acting on plate is

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Answer 1

Given : Bullets of 40g mass each hit a plate at the rate of 100 bullet per second, with a velocity of 60m/s and reflect back with a velocity of 30m/s.

To Find :     The average force acting on plate

Solution:

Bullets of  40g mass each hit a plate at the rate of 100 bullet per second,

=> mass per second    40 * 100  = 4000 g  = 4 kg

Hot with a velocity  = 60 m/s

Reflect back with velocity = 30 m/s

Change in momentum  =  4 (60 - 30)  = 120  kgm/s

The average force acting on plate is = Rate of change of momentum

Time = 1 sec

=   120/1

= 120N

. The average force acting on plate is 120  N

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Answer 2

Given:

Mass of bullet = 40g

Bullet hit at the rate of = 100 bullet per second.

Velocity of bullet = 60 m/s

Bullet reflects back at the velocity = 30 m/s

To Find:

The average force acting on plate = ?

Solution:

To find the average force acting on plate = ?

We know that,

Bullets of 40g mass are hitting a plate at the rate of 100 bullet per second.

→ Mass per second: 40 × 100 = 4000g

→ 4000g = 4 kg

Here,

Bullet hits with velocity of 60 m/s.

It reflects back with velocity of 30 m/s.

→ Change in momentum = 4(60-30)

→ 120 kg m/s

Now,

Now,The average force acting on plate = Rate of change of momentum.

→ Time = 1 second.

→ 120/1

→ 120

Therefore,

The average force acting on the plate is 120 N.