You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Work Energy Theorem

A machine gun...

Question

A machine gun is mounted on a $2000 k g$ car on a horizontal frictionless surface. At some instant, the gun fires $10$ bullets/second, each of mass $10 g$ with a velocity of $500 m s^{- 1}$ . The acceleration of the car is:

0.025 m s^{- 1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0.25 m s^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.5 m s^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

500 m s^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $0.025 m s^{- 1}$
$M_{c a r} = 2000 k g$
n=10 bullets/second
$m_{b} = 10 g = 0.01 k g$
$v_{b} = 500 m / s$
Momentum of each bullet= $P_{b} = m_{b} v_{b} = 0.01 \times 500 = 5 k g m s^{- 1}$
Force on car= $n P_{b} = 50 k g m s^{- 2}$
$F_{c a r} = 50 N$
$a_{c a r} = \frac{50}{2000} = \frac{1}{40} = 0.025 m s^{- 2}$

Suggest Corrections

Similar questions

Q. A machine gun is mounted on a

2000 k g

car on a horizontal frictionless surface. At some instant the gun fires bullets of mass

10 g

with a velocity of

500 m / s e c

with respect to the car. The number of bullets fired per second is ten. The average thrust on the system is:

Q. A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant, the gun fires 10 bullets/second, each of mass 10 g with a velocity of 500 m s

^{- 1}

. The acceleration of the car is

Q. A machine gun is mounted on a flat railroad car. The gun is firing bullets at the rate of

10

bullets per second each of mass

10 g

. The bullets are fired at velocity

500 {m s}^{- 1}

relative to the car. Calculate the acceleration and force of car at the instant when its mass is

200 k g

Q. A machine gun is mounted on a

2000 k g

vehicle on a horizontal smooth road (friction negligible). The gun fires

10

bullets per sec with a velocity of

500 m / s

. If the mass of each bullet be

10 g

, what is the acceleration produced in the vehicle?

A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant the gun fires bullets of mass 10 gm with a velocity of 500m/ s with respect to the car . The number of bullets fired per second is ten. The average thrust on the system is ??

Join BYJU'S Learning Program

A machine gun is mounted on a 2000kg car on a horizontal frictionless surface. At some instant, the gun fires 10 bullets/second, each of mass 10g with a velocity of 500ms−1. The acceleration of the car is:

The correct option is A 0.025ms−1Mcar=2000kgn=10 bullets/secondmb=10g=0.01kgvb=500m/sMomentum of each bullet=Pb=mbvb=0.01×500=5kgms−1Force on car=nPb=50kgms−2Fcar=50Nacar=502000=140=0.025ms−2

A machine gun is mounted on a $2000 k g$ car on a horizontal frictionless surface. At some instant, the gun fires $10$ bullets/second, each of mass $10 g$ with a velocity of $500 m s^{- 1}$ . The acceleration of the car is: