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A man weighing 980 N on Earth weighs only 163 N on the Moon. His mass on the Moon is ___ kg.

(Please fill in the blank.)​

Answer :

The man's mass on the Moon is 100 kilograms.

Given the following data:

  • Weight on Earth = 980 Newton.
  • Weight on Moon = 163 Newton.

We know that the acceleration due to gravity (a) of an object on planet Erath is equal to 9.8 meter per seconds square.

To find the mass of the man on the Moon:

Mathematically, the weight of an object is calculated by using the following formula;

[tex]Weight = mg[/tex]

Where:

  • m represents the mass of an object.
  • g is the acceleration due to gravity.

Substituting the given parameters into the formula, we have;

[tex]980 = m[/tex] × [tex]9.8[/tex]

[tex]Mass, \; m = \frac{980}{9.8}[/tex]

Mass, m = 100 kilograms.

Regardless of the location of a person or an object at a given point in time, mass (amount of matter that they're made up of) is constant.

Hence, whether you're on the Moon, planet Earth, or any other place in space, your mass remains the same (constant) at all times.

Therefore, the man's mass on the Moon is 100 kilograms.

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Rewritten by : Barada

Answer: The mass of the man on moon is 100 kg

Explanation:

Weight is the force exerted by the body on the surface. It s not same at every point in the universe. It is also defined as the mass multiplied by the acceleration of the object.

Mass is the actual amount of matter of an object. It remains the same at every point in the universe.

Mathematically,

[tex]W=m\times a[/tex]

where,

W = weight of the man on Earth = 980 N

m = mass of the man = ?

a = acceleration due to gravity on Earth = [tex]9.8m/s^2[/tex]

Putting values in above equation, we get:

[tex]980kg.m/s^2=m\times 9.8m/s^2\\\\m=\frac{980}{9.8}=100kg[/tex]

Mass of the man on Earth = Mass of the man on Moon = 100 kg

Hence, the mass of the man on moon is 100 kg