A weightlifter raises a 200 kg barbell over his head from the floor a displacement of 2m in 2.2 seconds. What is the average power he develops during the lift?
work done = 9.81*200 * 2
power = work done / time
= 9.81*200 *2/2.2 Watts
Wow, like a horse
To find the average power developed by the weightlifter during the lift, we can use the formula:
Power = work / time
First, we need to calculate the work done by the weightlifter. Work is given by the formula:
Work = force × displacement
The force can be calculated using Newton's second law of motion:
Force = mass × acceleration
Given that the mass of the barbell is 200 kg, and the acceleration due to gravity is approximately 9.8 m/s^2, the force can be calculated as:
Force = 200 kg × 9.8 m/s^2 = 1960 N
Now, we can calculate the work done by the weightlifter:
Work = Force × displacement = 1960 N × 2 m = 3920 J (Joules)
Finally, we can calculate the average power developed during the lift:
Power = Work / Time = 3920 J / 2.2 s ≈ 1781.82 W (Watts)
So, the average power developed by the weightlifter during the lift is approximately 1781.82 Watts.
To find the average power developed by the weightlifter during the lift, we can use the formula:
Average Power = Work done / Time
First, let's calculate the work done by the weightlifter. Work is defined as the force applied multiplied by the displacement:
Work = Force × Displacement
In this case, the force applied by the weightlifter is equal to the weight of the barbell. The weight can be calculated using the formula:
Weight = mass × gravity
Given that the mass of the barbell is 200 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight:
Weight = 200 kg × 9.8 m/s²
Next, we can calculate the work done by multiplying the weight by the displacement:
Work = Weight × Displacement
Now, we can find the average power by dividing the work done by the time taken:
Average Power = Work / Time
Given that the displacement is 2 m and the time taken is 2.2 seconds, we can substitute the values into the formula to find the average power developed by the weightlifter.