A force of 1 N accelerates 1-kg box at the rate of 1 m/s². The acceleration of a 2-kg box by a net force of 2 N is A)half as much. B)twice as much. C)the same. D)none of the above

Question

Quizplus · Accepted Answer

The acceleration of an object is directly proportional to the net force and inversely proportional to its mass (Newton's Second Law).

For the 1-kg box, Fnet=1 N and m=1 kg:

a=Fnet/m=1 N/1 kg=1 m/s^2

For the 2-kg box, Fnet=2 N and m=2 kg:

a=Fnet/m=2 N/2 kg=1 m/s^2

Both boxes have the same acceleration despite the difference in net force and mass, therefore the answer is C.

A Force of 1 N Accelerates 1-Kg Box at the Rate