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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 40 N. Find the weight of an object whose mass is 7 kg.

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 40 N. Find the weight of an object whose mass is 7 kg.

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Solution

To solve this problem, we need to understand that the weight of an object on this planet is directly proportional to its mass. This means that the ratio of weight to mass is constant.

Step 1: Find the constant of proportionality (k). We can do this by dividing the weight of the object by its mass.

Given that an object with a mass of 8 kg weighs 40 N, we can find k as follows:

k = weight/mass = 40 N / 8 kg = 5 N/kg

Step 2: Use the constant of proportionality to find the weight of an object whose mass is 7 kg.

Weight = k * mass = 5 N/kg * 7 kg = 35 N

Therefore, an object with a mass of 7 kg would weigh 35 N on this planet.

This problem has been solved

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