On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 6 kg weighs 54 n. Calculate the mass of another object that weighs 72 n.
To find the mass of another object that weighs 72 N, we can set up a proportion:
Mass 1 / Weight 1 = Mass 2 / Weight 2
Using the given information:
6 kg / 54 N = Mass 2 / 72 N
Cross multiply to solve for Mass 2:
6 kg * 72 N = 54 N * Mass 2
Mass 2 = (6 kg * 72 N) / 54 N
Mass 2 = 432 kg / 54
Mass 2 = 8 kg
Therefore, the mass of the object that weighs 72 N is 8 kg.