Problema Solution

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9kg weighs 54N . Calculate the mass of another object that weighs 24N ?

Answer provided by our tutors

let


W = the weight on the object

m = the mass of the object


the weight of an object varies directly with the mass of the object


W = k*m, where k is constant


an object whose mass is 9kg weighs 54N that is m = 9 kg and W = 54 N


54 = k*9


k = 54/9


k = 6


now the formula for the weight is


W = 9m


the weight of the object is W = 24 N for the mass we find


24 = 9m


9m = 24


m = 24/9


m = 2.67 kg approximately.