Calculate the work and power done when a track athlete lifts a 20 kg barbell 0.6 meters in 0.8 seconds.
work = m g h = 20 * 9.8 * 0.6 ... Joules
power = work / 0.8 s ... Watts
To calculate the work done by the track athlete, we'll use the equation:
Work = force * distance
First, we need to find the force exerted by the athlete. We can use Newton's second law of motion:
Force = mass * acceleration
Given that the mass (m) of the barbell is 20 kg, we need to determine the acceleration (a) from the distance (d) and time (t) taken to lift the barbell. We can use the equation:
acceleration = (2 * (distance / time^2))
Substituting the values, we get:
acceleration = (2 * (0.6 m / (0.8 s)^2))
Now, we can calculate the force:
force = 20 kg * acceleration
Next, we substitute the force and distance values into the work equation:
Work = force * distance
Now, let's calculate the work:
Work = force * distance
Finally, we can calculate the power (P) using the equation:
Power = work / time
Substituting the work and time values, we can find the power:
Power = work / time
By following these steps, we can find the work and power done when the track athlete lifts the barbell.