How much work is done by gravity on a 57.0kg high diver as he drops a vertical height of 20.0m?
work = PE lost = mgh
To calculate the work done by gravity, we can use the formula:
Work = Force x Distance x cos(theta)
In this case, the force is the weight of the high diver, which can be calculated using the formula:
Weight = mass x gravity
where the mass is given as 57.0 kg and the gravity is approximately 9.8 m/s^2.
Weight = 57.0 kg x 9.8 m/s^2 = 558.6 N
The distance the diver drops is given as 20.0 m.
Now, since the force is acting vertically downward and the displacement is also vertical, the angle between the force and distance is 0 degrees. In this case, cos(theta) is equal to 1.
So, the work done by gravity is:
Work = 558.6 N x 20.0 m x cos(0)
= 558.6 N x 20.0 m x 1
= 11,172 J
Therefore, the work done by gravity on the diver is 11,172 Joules.
To find the work done by gravity on the high diver, we need to use the formula:
Work = Force x Distance x cos(θ)
In this case, gravity is the force acting on the diver, the distance is the vertical height the diver drops, and the angle (θ) is 0 degrees because the force and distance are in the same direction.
The force of gravity can be calculated using the equation:
Force = mass x gravity
Where the mass is 57.0 kg and the gravity is approximately 9.8 m/s².
Let's calculate the force:
Force = 57.0 kg x 9.8 m/s² = 558.6 N
Now we can calculate the work done:
Work = 558.6 N x 20.0 m x cos(0°)
The cos(0°) term is equal to 1 since cos(0°) = 1.
Work = 558.6 N x 20.0 m x 1 = 11,172 J
Therefore, the work done by gravity on the high diver is 11,172 Joules (J).