The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32 point 2 feet per second squared. Which equation represents f , the force on an object due to gravity according to m , the object’s mass?
Answer
A
f is equal to 16 point 1 m
B
f is equal to 32 point 2 m
C
f is equal to the fraction with numerator 32 point 2 and denominator m squared
D
f is equal to the fraction with numerator 16 point 1 and denominator m squared
Explanation
Direct variation means the force equals a constant times the mass: f = km. The constant of variation is 32.2, so substituting gives f = 32.2m. Therefore, the correct choice is A, f is equal to 32.2m.
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