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

$50 m / s^{2}$
B

$16 m / s^{2}$
C

$60 m / s^{2}$
D

$32 m / s^{2}$

Solution

mass of the rocket after 5 sec 6000-5x200=5000kg
$force on the rocket v \frac{dm}{dt} = ma 800 Ã 200 = 5000 a a = 32 m / s^{2}$

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