Two forces act on a 6.00-kg object.One of the forces is 10.0 N.If the object accelerates at 2.00 m/s²,what is the greatest possible magnitude of the other force? A)1.0 N B)2.0 N C)22.0 N D)34.0 N

Question

Quizplus · Accepted Answer

We can use Newton's second law to solve the problem:

ΣF = ma

where ΣF is the net force acting on the object, m is the mass of the object, and a is the acceleration of the object.

We know that one force is 10.0 N, and the object accelerates at 2.00 m/s^2. Therefore:

ΣF = ma
ΣF = (6.00 kg)(2.00 m/s^2)
ΣF = 12.0 N

The other force must be great enough to produce a net force of 12.0 N. Therefore:

Other force = ΣF - 10.0 N
Other force = 12.0 N - 10.0 N
Other force = 2.0 N

Thus, the greatest possible magnitude of the other force is 2.0 N, which is answer choice B. However, answer choice C (22.0 N) seems to be a typo since it is much larger than the net force.

Two Forces Act on a 6