Answer:
![\boxed {\boxed {\sf 18 \ Newtons }}](https://img.qammunity.org/2021/formulas/physics/high-school/3cfxrex45f8xcf9zg9y4vo2hiciaf6e19y.png)
Step-by-step explanation:
Force can be found by multiplying the mass by the acceleration.
![F=m*a](https://img.qammunity.org/2021/formulas/chemistry/high-school/nag7dy6lxgr5k3xd4256ag2sk9xgzcostg.png)
The mass of the cart is 3 kilograms and the acceleration is 6 meters per second squared.
![m= 3 \ kg \\a = 6 \ m/s^2](https://img.qammunity.org/2021/formulas/physics/high-school/rnirhzeku5a3cxo93zma83rah7xfo6ape5.png)
Substitute the values into the formula.
![F= 3 \ kg * 6 \ m/s^2](https://img.qammunity.org/2021/formulas/physics/high-school/e83m13lyrkoel12sjwq3srkxpx0wvjgegw.png)
Multiply.
![F= 18 \ kg*m/s^2](https://img.qammunity.org/2021/formulas/physics/high-school/m1fdk0eh7keji56a03jhmsxvfp4ijqu00u.png)
- 1 kilogram meter per second squared is equal to 1 Newton.
- Therefore, our answer of 18 kg*m/s² is equal to 18 N
![F= 18 \ N](https://img.qammunity.org/2021/formulas/physics/high-school/sqwz05609slnlgpxi7yv0v4g6uop5e8res.png)
The force exerted is 18 Newtons