A rocket of initial mass 1000 kg ejects mass at a constant rate of 10 kg/s with constant relative speed of 11 text ms-1 . Neglecting gravity, the acceleration of the rocket 1 min after the blast is:

Question

A rocket of initial mass 1000 kg ejects mass at a constant rate of 10 kg/s with constant relative speed of 11 text ms-1 . Neglecting gravity, the acceleration of the rocket 1 min after the blast is: (A)  11/40 ms-2  (B)  22/40 ms-2  (C)  1.1/40 ms-2  (D)  1 ms-2

Tardigrade Admin · Accepted Answer

Acceleration, a=(Δ m/Δ t).(u/( m-(Δ m)Δ t.t )) =10× (11/(1000-10× 60)) =(11/40)m/s2

Q. A rocket of initial mass 1000 kg ejects mass at a constant rate of 10 kg/s with constant relative speed of $11 m s^{- 1}$ . Neglecting gravity, the acceleration of the rocket 1 min after the blast is:

$11/40 m s^{- 2}$

$22/40 m s^{- 2}$

$1.1/40 m s^{- 2}$

$1 m s^{- 2}$

$11/60 m s^{- 2}$

Acceleration, $a = \frac{Δ m}{Δ t} . \frac{u}{( m - \frac{Δ m}{Δ t} . t )}$ $= 10 \times \frac{11}{( 1000 - 10 \times 60 )}$ $= \frac{11}{40} m / s^{2}$

Q. A rocket of initial mass 1000 kg ejects mass at a constant rate of 10 kg/s with constant relative speed of 11ms−1 . Neglecting gravity, the acceleration of the rocket 1 min after the blast is:

11/40ms−2

22/40ms−2

1.1/40ms−2

1ms−2

11/60ms−2

Acceleration, a=ΔtΔm​.(m−ΔtΔm​.t)u​ =10×(1000−10×60)11​ =4011​m/s2