A force of 1 N accelerates a 1-kg mass at 1 m/s².The acceleration of a 2-kg mass acted upon by a 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

According to Newton's second law, force = mass x acceleration, or F = ma.

For the first scenario, F = 1 N and m = 1 kg, so we can solve for a:

1 N = (1 kg) x a 
a = 1 m/s^2

For the second scenario, F = 2 N and m = 2 kg:

2 N = (2 kg) x a 
a = 1 m/s^2

So the acceleration is the same in both scenarios, choice C.

A Force of 1 N Accelerates a 1-Kg Mass at 1