First slide

Third law

Question

A rocket of initial mass 6000 kg ejects mass at constant rate of 200 kg/sec. with constant relative speed of 800 m/sec. The acceleration of the rocket after 5 sec is (neglect gravity)

Moderate

A

50 ms^–2
B

16 ms^–2
C

60 ms^–2
D

32 ms^–2

Solution

After 5 sec mass of the rocket
$6000 - 5 \times 200 = 5000 kg$
$a = \frac{u \frac{dm}{dt}}{m} = \frac{200 \times 800}{5000} = 32 {ms}^{- 2}$

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