(B) According to Newton's second law,the net force acting on the rocket is $F_{net} = m \cdot a$.The forces acting on the rocket are the upward thrust

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(B) According to Newton's second law,the net force acting on the rocket is $F_{net} = m \cdot a$.The forces acting on the rocket are the upward thrust $(T)$ and the downward gravitational force $(W = mg)$.Therefore,$T - mg = ma$.Rearranging for thrust: $T = m(g + a)$.Given: $m = 3.5 \times 10^4 \,kg$,$a = 10 \,m/s^2$,and taking $g = 10 \,m/s^2$.$T = (3.5 \times 10^4) \times (10 + 10) \,N$.$T = (3.5 \times 10^4) \times 20 \,N$.$T = 70 \times 10^4 \,N = 7.0 \times 10^5 \,N$.

Class 11 Physics Laws of Motion Variable Mass System and Rocket Problem

Difficult

$A$ rocket which has a mass of $3.5 \times 10^4 \,kg$ is blasted upwards with an initial acceleration of $10 \,m/s^2$. The initial thrust of the blast is-

A
$3.5 \times 10^5 \,N$
B
$7.0 \times 10^5 \,N$
C
$14.0 \times 10^5 \,N$
D
$1.75 \times 10^5 \,N$

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Variable Mass System and Rocket Problem

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$A$ rocket which has a mass of $3.5 \times 10^4 \,kg$ is blasted upwards with an initial acceleration of $10 \,m/s^2$. The initial thrust of the blast is-

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Sand is being poured at a rate of $50 \, kg/min$ into a train moving with a velocity of $20 \, m/s$. To maintain the constant velocity of the train,the force required is ........ $N$.

In a rocket,fuel burns at the rate of $2 \, kg/s$. This fuel is ejected from the rocket with a velocity of $80 \, km/s$. The force exerted on the rocket is ............. $N$.

The rate of fuel consumption in a rocket is $40 \ kg/s$. The velocity of the exhaust gases coming out of the rocket is $5 \times 10^4 \ m/s$. What is the thrust force acting on the rocket?

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$Assertion$ : $A$ rocket moves forward by pushing the surrounding air backwards.
$Reason$ : It derives the necessary thrust to move forward according to Newton's third law of motion.