The force of gravity on an object varies directly with its mass. the constant of variation due to gravity is 32.2 ft./s squared. which equation represents f, the force on an object due to gravity according to m, the objects mass? f equals 16.1 m, f equals 16.1/x^2, f=32.2m, f=32.2/m^2

F = 32.2 m

Step-by-step:

1) The force of gravity on an object varies directly with its mass.

That implies that the force equals a constant times its mass.

Call F the force of gravity, K, the constant of proportionality, and m its mass

=> F = K * m

2) The constant of variation due to gravity is 32.2 ft./s squared.

=> K = 32.2 ft / (s^2)

3) Which equation represents F, the force on an object due to gravity according to M, the objects mass?

=> F = 32.2 * m

F = 32.2m