On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 10kg weighs 50 N Calculate the mass of another object that weighs 40N
To solve this problem, we can set up a proportion using the given information.
Let M be the mass of the other object. We can set up the following proportion:
10 kg / 50 N = M kg / 40 N
We cross-multiply and solve for M:
10 kg * 40 N = 50 N * M kg
400 kg N = 50 N * M kg
Dividing both sides by 50 N:
(400 kg N) / 50 N = (50 N * M kg) / 50 N
8 kg = M
Therefore, the mass of the other object is 8 kg.