A person who has a weight of 159 pound-force [lbf] on Earth is travelling to Mars in a spacecraft. As long as the engines on the spacecraft are not operating, the person is essentially weightless during the voyage. During a course correction, the spacecraft undergoes an acceleration of 0.74 g. The term "g" is the Earth-normal gravity, so 1 g is 9.8 meters per second squared [m/s2]. This acceleration makes it feel like there is gravity in the spacecraft, and the person will have a perceived weight during the acceleration period, rather than feeling weightless. What is the person's mass, in units of kilograms [kg], in the spacecraft while travelling to Mars when the engines are not running?

m=97.52Kg

Explanation: Weight is the amount of gravity acting on a body, which means weight varies when gravity varies. Mass is the amount of matter a body has and it doesn't vary.

To determine a person's mass in kilogram, transform Pound-force in Newton ([N] = kg.m/s²).

The relationship between the units is 1lbf = 4.448N, then:

W = 159*4.448

W = 707.232N

During the course correction, acceleration is 0.74g, i.e.:

a = 0.74*9.8

a = 7.252m/s²

Weight is the multiplication of mass and acceleration of gravity:

W=m*g

m = 97.52kg

The person's mass during the travel to Mars is 97.52kg.

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