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.
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.