Question

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3 kg weighs 30 N. Find the weight of an object whose mass is 5 kg

Answer 1

`50 N`

Explanation:

To help us find our answer, we need to use Newton's Second law

`F = m * a`

Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)

So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)

`30 = 3 * a\\a = 10 m/s^2`

Now that we know the acceleration we can easily find the weight of the person.

`F = 5 * 10 = 50 N`