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A 3.50  103-kg rocket takes off from the moon where the acceleration due to gravity is 1.60...

A 3.50  103-kg rocket takes off from the moon where the acceleration due to gravity is 1.60 m/s2 by exhausting 5.00 kg of gas per second at a speed of 2.20  103 m/s. Determine the acceleration of the rocket.

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Answer #1

Acceleration:

The acceleration is a phenomenon in which an object changes its velocity corresponding to unit time. Typically, the acceleration of an object is denoted by feet per second square in the British standard of the unit system.

Given

  • The mass of the rocket is m = 3500 kg
  • The acceleration due to gravity is g1 = 1.6 m / s2
  • The mass of the gas is mg = 5 kg
  • The exhaust velocity is V = 2.2* 103 m / s

The change in mass of gas per second is given by:

The expression of the rocket acceleration is given by:

Substitute all the values, we get:

Thus, the acceleration is 1.54 meter per second squared.

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