Suppose x represents an objects weight on Earth. Write two expressions: one that you can use to find the objects weight on Mars and another that you can use to write the object's weight on the Moon.

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Keyla

Mathematics

26 April, 16:22

Suppose x represents an objects weight on Earth. Write two expressions: one that you can use to find the objects weight on Mars and another that you can use to write the object's weight on the Moon.

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Jaiden Rubio · Answer 1

The weight of an object is the product of its mass and the acceleration of gravity.

If g[e] is the acceleration of gravity on earth, and g[M] the same for Mars and g[m] the same for the moon,

then m[M]=m[e]g[M]/g[e] and m[m]=m[e]g[m]/g[e] where m[ ] denotes mass. Note that weight=mg (measured in newtons) while mass is in kilograms.

If g[M]=g[e]/3 and g[m]=g[e]/6 approximately. Then the weight of an object on Mars will be about a third of what it is on earth, while on the moon it would be about a sixth of what it is on earth.