A machine gun is mounted on a 2000 ,kg car on | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The thrust force $F$ exerted on the system is given by the rate of change of momentum of the bullets fired.$F = v_{rel} \cdot \frac{dm}{dt}$Here,$

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(B) The thrust force $F$ exerted on the system is given by the rate of change of momentum of the bullets fired.$F = v_{rel} \cdot \frac{dm}{dt}$Here,$v_{rel} = 500 \,m/s$ is the velocity of the bullet with respect to the car.The mass of one bullet is $m_b = 10 \,g = 0.01 \,kg$.The number of bullets fired per second is $n = 10 \,bullets/s$.Therefore,the rate of mass ejection is $\frac{dm}{dt} = n 	imes m_b = 10 	imes 0.01 \,kg/s = 0.1 \,kg/s$.Substituting these values into the thrust formula:$F = 500 \,m/s 	imes 0.1 \,kg/s = 50 \,N$.Thus,the average thrust on the system is $50 \,N$.

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

Similar Questions

In a rocket, fuel burns at the rate of $1 \,kg / s$. This fuel is ejected from the rocket with a velocity of $60 \,km / s$. The force exerted on the rocket by this is (in $\,N$)

$A$ rocket is fired vertically from the ground with a resultant vertical acceleration of $10 \,m/s^2$. The fuel is exhausted in $1 \,min$ and it continues to move up. What is the maximum height reached (in $\,km$)?

At a certain instant of time,the mass of a rocket going up vertically is $100 \, kg$. If it is ejecting $5 \, kg$ of gas per second at a speed of $400 \, m/s$,the acceleration of the rocket would be ........ $m/s^2$ (taking $g = 10 \, m/s^2$).

$A$ rocket is ejecting $50\,g$ of gases per second at a speed of $500\,m/s.$ The accelerating force on the rocket will be ............ $N$.

$A$ rocket with a lift-off mass $2 \times 10^4\,kg$ is blasted upwards with an initial acceleration of $5\,m\,s^{-2}$. The initial thrust of the blast is (Take $g = 10\,m\,s^{-2}$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module