A diver is standing on a 2 m high diving board. The diver has 1274 J of gravitational potential energy.Calculate the diver's mass.
Question
A diver is standing on a 2 m high diving board. The diver has 1274 J of gravitational potential energy.Calculate the diver's mass.
Solution
To calculate the diver's mass, we can use the formula for gravitational potential energy, which is:
Potential Energy = mass * gravity * height
We know the potential energy (1274 J), the height (2 m), and the acceleration due to gravity (approximately 9.8 m/s² on Earth). We can rearrange the formula to solve for mass:
mass = Potential Energy / (gravity * height)
Substituting the given values:
mass = 1274 J / (9.8 m/s² * 2 m)
mass = 1274 J / 19.6 m²/s²
mass = 65 kg
So, the diver's mass is approximately 65 kilograms.
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