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

Answer: 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

Answer: F = 32.2m