Question

The acceleration, a, of an object produced when a force is applied is given by the following formula, where F represents the force acting on the object and m represents the mass of the object.

a=F/m

If a has units of meters per second squared and m has units of grams, what must be the units of F?

A. grams
B. meters per second
C. grams-meters per second
D. grams-meters per second squared

Answer 1

Answer on Question 48708, Physics, Mechanics — Kinematics — Dynamics The acceleration, a, of an object produced when a force is applied is given by the following formula, where F represents the force acting on the object and m represents the mass of the object.

$a=F/m$

If a has units of meters per second squared and m has units of grams, what must be the units of F?

A. grams B. meters per second C. grams-meters per second D. grams-meters per second squared

Solution

$F=ma$

$[F]=[gr]\cdot[m/s^{2}]=[m\cdot gr/s^{2}]$

Answer is D. grams-meters per second squared.

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