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.

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.