750N diver does a triple somersault off a 10m platform. If it takes 1.5sec. to hit the water. What is the diver's power?
To calculate the diver's power, we need to use the equation: Power = Work / Time.
To find the work done by the diver, we need to calculate the gravitational potential energy converted into kinetic energy during the dive. The formula for gravitational potential energy is: Gravitational Potential Energy = mass * acceleration due to gravity * height.
Given:
- The diver's weight (force) = 750N
- The height of the platform = 10m
First, we need to calculate the mass of the diver using the equation: weight (force) = mass * acceleration due to gravity.
Given:
- Acceleration due to gravity = 9.8 m/s^2
Thus, the mass of the diver is: mass = weight (force) / acceleration due to gravity.
mass = 750N / 9.8 m/s^2 ≈ 76.53 kg
Now, let's calculate the gravitational potential energy using the formula mentioned earlier:
Gravitational Potential Energy = mass * acceleration due to gravity * height
Gravitational Potential Energy = 76.53 kg * 9.8 m/s^2 * 10 m ≈ 7501.94 Joules
Finally, we can calculate the diver's power using the equation: Power = Work / Time.
Power = 7501.94 Joules / 1.5 seconds
Power ≈ 5001.29 Watts
Therefore, the diver's power is approximately 5001.29 Watts.