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

The magnitude of the other force is 43.75 N.

Step-by-step 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* 3.5`

`F_2=43.75\ N`

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