To calculate the average force exerted by the net on the man to stop his fall, we can use the concept of work and the definition of force.

First, let's calculate the initial potential energy of the man when he jumps from a height of 100 m. The potential energy is given by the formula:

• Potential Energy = mass * gravity * height

where mass is the mass of the man (80 kg), gravity is the acceleration due to gravity (10 m/s²), and height is the initial height (100 m).

• Potential Energy = 80 kg * 10 m/s² * 100 m
• Potential Energy = 80,000 J

Next, we need to calculate the work done by the force of gravity on the man as he falls and the net sags down. The work done is equal to the change in potential energy, which is also equal to the force exerted by the net multiplied by the distance the net sags.

• Work Done = Force * Distance

The work done is equal to the change in potential energy:

• Work Done = Potential Energy - 0
• Work Done = 80,000 J - 0
• Work Done = 80,000 J

Since the distance the net sags is 2 m, we can substitute these values into the equation:

• 80,000 J = Force * 2 m

Solving for force:

• Force = 80,000 J / 2 m
• Force = 40,000 N

Therefore, the average force exerted by the net on the man to stop his fall is 40,000 Newtons.

~Hope It helps.. ✨