The rate of mass of the gas emitted from rear of a rocket is initially 0.1 kg/s . If the speed of the gas relative to the rocket is 50 m/s and mass of the rocket is 2 kg , then the acceleration of the rocket (in m/s2 ) is

Question

The rate of mass of the gas emitted from rear of a rocket is initially 0.1 kg/s . If the speed of the gas relative to the rocket is 50 m/s and mass of the rocket is 2 kg , then the acceleration of the rocket (in m/s2 ) is (A) 5 (B) 5.2 (C) 2.5 (D) 25

Tardigrade Admin · Accepted Answer

a=(Δ v/Δ t)=(v/m) ⋅ (Δ m/Δ t) =(50/2) × 0.1 =2.5 ms -2

Q. The rate of mass of the gas emitted from rear of a rocket is initially $0.1 k g / s$ . If the speed of the gas relative to the rocket is $50 m / s$ and mass of the rocket is $2 k g$ , then the acceleration of the rocket (in $m / s^{2}$ ) is

5

5.2

2.5

25

$a = \frac{Δ v}{Δ t} = \frac{v}{m} \cdot \frac{Δ m}{Δ t}$
$= \frac{50}{2} \times 0.1$
$= 2.5 m s^{- 2}$

Q. The rate of mass of the gas emitted from rear of a rocket is initially 0.1kg/s . If the speed of the gas relative to the rocket is 50m/s and mass of the rocket is 2kg , then the acceleration of the rocket (in m/s2 ) is

5

5.2

2.5

25

a=ΔtΔv​=mv​⋅ΔtΔm​ =250​×0.1 =2.5ms−2

Q. The rate of mass of the gas emitted from rear of a rocket is initially $0.1 k g / s$ . If the speed of the gas relative to the rocket is $50 m / s$ and mass of the rocket is $2 k g$ , then the acceleration of the rocket (in $m / s^{2}$ ) is

$a = \frac{Δ v}{Δ t} = \frac{v}{m} \cdot \frac{Δ m}{Δ t}$
$= \frac{50}{2} \times 0.1$
$= 2.5 m s^{- 2}$