A boy standing on a high diving board has a mass of 45 kg and a total gravitational potential energy of 2700 j. How high is the diving board?
What is the answer to this question and how did you come up with the answer.
PE = mg*h = 2700 J.
45 * 9.8 * h = 2700
Solve for h.
To find the height of the diving board, we can use the formula for gravitational potential energy:
Gravitational Potential Energy = Mass * Gravitational Acceleration * Height
Given:
Mass = 45 kg
Gravitational Potential Energy = 2700 J
We know that the acceleration due to gravity is approximately 9.8 m/s^2.
So, we can rearrange the formula to solve for height:
Height = Gravitational Potential Energy / (Mass * Gravitational Acceleration)
Substituting the given values:
Height = 2700 J / (45 kg * 9.8 m/s^2)
Calculating this:
Height = 2700 J / (441 kg*m^2/s^2)
Height ≈ 6.12 meters
Therefore, the height of the diving board is approximately 6.12 meters.
To determine the height of the diving board, we can use the formula for gravitational potential energy:
Gravitational potential energy (PE) = mass (m) * gravitational acceleration (g) * height (h)
The given total gravitational potential energy is 2700 J, and the mass of the boy is 45 kg. The gravitational acceleration is approximately 9.8 m/s^2.
To find the height (h), we rearrange the formula:
h = PE / (m * g)
Plugging in the values, we get:
h = 2700 J / (45 kg * 9.8 m/s^2)
h ≈ 6.12 meters
Therefore, the height of the diving board is approximately 6.12 meters.