Question

Find the acceleration

Answer 1

a=5m/s

Step-by-step explanation:

Forces going to the left:
`F_(3)`

Forces going to the right:
`F_(1)` and
`F_(2)`

To indicate the different directions, let the forces going to the left be negative, and the sign on forces going to the right be positive.

The total forces acting on the system are:

`F_(1)` +
`F_(2)` +
`F_(3)`

100N + 80N - 30N = 150N

The overall force is therefore 150N going to the right (sign is positive). Now time to find the overall acceleration:

Force = mass * acceleration

150 = 30a

a=5m/s