Answer:
Distance of the second child from the pivot point will be 2.66 m
Step-by-step explanation:
We have given mass of the first child
![m_1=40kg](https://img.qammunity.org/2020/formulas/physics/college/2ky9643c49m1zmh0tvwcwv7i44o04hvw5u.png)
Distance from the pivot point
![d_1=2m](https://img.qammunity.org/2020/formulas/physics/college/tv924weaduz8wbf5iljkcyo7354fx7kcbd.png)
Mass of the second child
![m_2=30kg](https://img.qammunity.org/2020/formulas/physics/college/ossbvgunsmdqix9x9t0a4qadglrduk3729.png)
We have to find the distance of the second child from the pivot point
For this we have to balance the moment
So
![m_1d_1=m_2d_2](https://img.qammunity.org/2020/formulas/physics/college/a3oebu87fmlj17oaztxs6vmpmdy208it1h.png)
![40* 2=30* d_2](https://img.qammunity.org/2020/formulas/physics/college/g55ff4zjbq0or1x3ixpkcmf2xdnv48noem.png)
![d_2=2.66m](https://img.qammunity.org/2020/formulas/physics/college/dkdiw9o328nuheqmnl555rmi1sej2u1hxf.png)
So the distance of the second child from the pivot point point will be 2.66 m