To solve that question, it is important to know the difference between mass and weight.
Mass is the amount of matter of something. The value of mass is ALWAYS equal in anywhere. So, we can say that the mass of a car here, and on Moon is equal.
Weight is the result when we multiply the mass by the gravitational strenght in somewhere. So, the weight is a value that is different in each different place. For example, a car have different weights on Earth and on Moon.
Now, let's analyze each afirmation:
- The mass of an object will be greater on Earth than Mars. INCORRECT
We saw that the mass of an object never changes. So, the mass of an object will be equal on Earth and on Mars.
- The weight of an object will be greater on Earth than Mars. CORRECT
The weight is different in each different place. We know that to know the weight of an object, we should multiply its mass by the gravitational strength in that place.
Now, let's think: if the gravitational strength on Earth is greater than the gravitational strength on Mars and the mass is equal in both places, the weight of an object will be greater on Earth than Mars. We can use math languange to represent this:
is the weight on Earth.
is the weight on Mars.
is the gravitational strength on Earth.
is the gratitational strength on Mars.
is the mass of the object
If
, so
.
- The mass of an object will be greater on Mars than Earth. INCORRECT
Remember: The mass NEVER changes when we just change the places.
- THe weight od an object will be greater on Mars than Earth. INCORRECT
We saw before that the object will have the greater weight on the planet with the greater gravitational strength. So, the weight of an object will be greater on Earth, not on Mars.
I hope I've helped. ^^
Enjoy your studies. \o/