Question

#Physics Time

A rocket of initial mass 6000 kg ejects mass at a constant rate of 16 kg/s with constant relative speed of 11km/s. What is the acceleration of the rocket a minute after the blast? (Neglect Gravity).

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Answer 1

Answer:

the acceleration of the rocket after the blast is 29.33 m/s/s

Explanation:

As we know that thrust force due to ejection of gases is given by

$F = v_r \frac{dm}{dt}$

here we know

$v_r = 11 km/s$ = relative speed of gases

$\frac{dm}{dt} = 16 kg/s$ = rate of mass

so from above formula

$F = (11 \times 10^3)(16)$

$F = 176 \times 10^3N$

now from Newton's 2nd Law

$F = ma$

$176 \times 10^3 = 6000 a$

$a = 29.33 m/s^2$

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Topic : Rocket propulsion

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