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.