Question

Two forces act on a 8.50-kg object. One of the forces is 14.0 N. If the object accelerates at 3.50 m/s2 , what is the greatest possible magnitude of the other force

Answer 1

Answer:

The magnitude of the other force is 43.75 N.

Explanation:

Given that,

Mass of the object, m = 8.5 kg

Force 1, $F_1=14\ N$

Acceleration of the object, $a=3.5\ m/s^2$

To find,

The greatest possible magnitude of the other force.

Solution,

Let $F_2$ is the magnitude of other force that is acting on the object. For the greatest force, the two forces must be act in opposite direction such that :

$F_2-F_1=ma$

$F_2=ma+F_1$

$F_2=14+8.5\times 3.5$

$F_2=43.75\ N$

So, the magnitude of the other force is 43.75 N.