A pole-vaulter just clears the bar at 4.07 m and falls back to the ground. The change in the vaulter's potential energy during the fall is -3900 J. What is his weight?

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To determine the weight of the pole-vaulter, we need to use the equation for potential energy (PE) and the formula for weight.

The formula for potential energy is given by:

PE = m * g * h

Where:
m is the mass of the object
g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
h is the height or vertical displacement

In this case, the change in potential energy is given as -3900 J, which means the potential energy decreases during the fall. This is because potential energy is converted into other forms of energy, such as kinetic energy.

So, the equation becomes:

-3900 J = m * 9.8 m/s² * 4.07 m

To find the weight, we need to know the mass of the pole-vaulter. If the mass is provided, we can substitute it directly into the equation. Otherwise, we can rearrange the equation to solve for mass if we know the other variables.

Weight is the force acting on an object due to gravity and is given by:

Weight = m * g

Once we determine the value of the mass from the rearranged equation, we can calculate the weight by multiplying the mass by the acceleration due to gravity, 9.8 m/s².

Please provide the mass of the pole-vaulter to further solve for their weight.

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