On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 5kg weighs15n . Find the weight of an object whose mass is 9kg.

Answer 1

First, we need to find the constant of variation in order to establish the relationship between weight and mass.

We can set up a proportion using the given information:

Weight (W) = k * Mass (M)

Using the first set of data points:
15 = k * 5
k = 15 / 5
k = 3

Now that we have the constant of variation k, we can use it to find the weight of an object with a mass of 9kg:

Weight = 3 * 9
Weight = 27kg

Therefore, the weight of an object with a mass of 9kg is 27N.