Solution
- The formula for calculating the force acting on an object is:
![\begin{gathered} F=ma \\ where, \\ m=\text{ Mass of the object} \\ a=\text{ Acceleration of the object} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6b729vyh3qmyvya0buyz7tuazvaqji53kf.png)
- The force applied to the cart is 500N and it moves with an acceleration of 5m/s².
- Thus, we can find the mass of the object using the formula above as follows:
![\begin{gathered} 500=m*5 \\ \text{ Divide both sides by 5} \\ \\ m=(500)/(5) \\ \\ \therefore m=100kg \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vtgdfxhwfwtwpfy7b2dc9f3zmrow4lhj6n.png)
Final Answer
The mass of the cart is 100kg