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A person weighs 150N on the moon, where g = 1.64m/s^2. Determine (a) the mass of the person and (b) the weight of the person on earth.

Sagot :

glendzmorales

Answer:

a. The mass of the person on the moon is 91.46 kg

b. The weight of the person on earth is 896.34N

Explanation:

In our case, we are to solve for the mass of person on the moon and his weight on earth. Here, we should take note that the pull of gravity on Earth, moon and other planets are different to one another. On Earth, the pull of gravity is always 9.8 m/s² (metric system).

Take note that the mass of any object does not change whether the object transfer from one place to another with different pull of gravity. Only weight is subject to change since it is affected by the pull of gravity.

Now, to solve for the mass of the person on the moon, we are going to use weight force which is directly proportional to the mass and the pull of gravity.

The formula is:

Fw = mg

where

Fw     is the weight force of the person, unit given is in Newtons, N

m       is the mass of the person, unit is in kg

g        is the pull of gravity, 9.8 m/s²

For the given information

Fw = 150N

g = 1.64 m/s²     pull of gravity on the moon

a. m = ?             on the moon

b. Fw = ?           on Earth

Solving the problem

a. First, let us solve for the mass of the man on the moon. Let us use the formula for weight force and substitute the given information, we have:

Fw = mg

150N = m (1.64 m/s²)

Divide both sides of the equation by 1.64 m/s², we have:

m = 150N / 1.64 m/s²

m = 91.46 kg

b. Now, let us solve his weight on Earth. Let us use the same mass and the pull of gravity on earth, 9.8 m/s² to solve for the weight, we have:

Fw = mg

Fw = (91.46 kg)(9.8 m/s²)

Fw = 896.34N

Therefore, the mass of the person on the moon is 91.46 kg and his weight on earth is 896.34N.

To learn more about this topic, just click on the following links:

  • Difference of weight and mass in physics

       brainly.ph/question/1634115

  • How does mass affect weight?

       https://brainly.ph/question/466590

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