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 8 kg weighs 64 N. Calculate the mass of another object that weighs 40 N.

a) 2 kg
b) 10 kg
c) 5 kg
d) 20 kg

Answer 1

To calculate the mass of another object that weighs 40 N, you can set up a proportion and solve for the mass. Using the given information, the mass of the other object is 5 kg.

Step-by-step explanation:

To calculate the mass of another object that weighs 40 N, we can use the given information that the weight of an object varies directly with its mass on the given planet. We know that an object with a mass of 8 kg weighs 64 N. We can set up a proportion to solve for the mass of the other object:

(Mass of Object 1) / (Weight of Object 1) = (Mass of Object 2) / (Weight of Object 2)

Substituting the values, we get:

(8 kg) / (64 N) = (Mass of Object 2) / (40 N)

Multiplying both sides by 40 N, we get:

(8 kg) * (40 N) / (64 N) = (Mass of Object 2)

Simplifying, the mass of the other object is 5 kg.