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 9 kg weighs 45 N. Calculate the mass of another object that weighs 30 N.

Answer 1

6 kg

Explanation:

Given is weight of an object directly varies with the mass of the object .

Let the constant of proportionality be k

So,

Weight = K×(mass of the object)

For an object , weight = 45 N

mass = 9 kg

So , 45 = K×9

K = 5.

Now, for the other object ,

Weight = 30 N. K = 5 (as obtained above)

So, 30 = 5×(mass of the object)

mass of the object = 6 kg.