Question:

A rocket is about to launch upwards from its platform. The engine ejects gas at a rate of 2100 kg/s and the molecules are expelled at 50 m/s. If the above condition is just sufficient to make it rise upwards, the mass of the rocket is (Assume $g = 10\, ms^2$)

Updated On: Aug 21, 2024
  • $12.6 \times 10^5 \, kg $
  • $15.5 \times 10^6 \, kg $
  • $9.8 \times 10^5 \, kg $
  • $10.5 \times 10^6 \, kg $
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The Correct Option is D

Solution and Explanation

Answer (d) $10.5 \times 10^6 \, kg $
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Concepts Used:

Momentum

It can be defined as "mass in motion." All objects have mass; so if an object is moving, then it is called as momentum.

the momentum of an object is the product of mass of the object and the velocity of the object.

Momentum = mass • velocity

The above equation can be rewritten as

p = m • v

where m is the mass and v is the velocity. 

Momentum is a vector quantity and  the direction of the of the vector is the same as the direction that an object.