A weightlifter raises a 200-kg barbell through a height of 2 m in 2.2 s. The average power he develops during the lift is
Power = M*g*H/t
To calculate the average power developed by the weightlifter during the lift, we can use the formula:
Power = Work / Time
First, let's calculate the work done by the weightlifter. The work is given by the formula:
Work = Force x Distance x cos(theta)
In this case, the force is equal to the weight of the barbell, which is given by:
Force = Mass x Gravity
where Mass = 200 kg and Gravity = 9.8 m/s^2.
So, the force is:
Force = 200 kg x 9.8 m/s^2 = 1960 N
The distance is equal to the height through which the barbell is raised, which is 2 m.
And theta represents the angle between the direction of the applied force and the direction of the motion, which is 0 degrees since the force is applied vertically upward and the motion is also vertically upward.
So, cos(theta) = cos(0 degrees) = 1
Therefore, the work done is:
Work = Force x Distance x cos(theta) = 1960 N x 2 m x 1 = 3920 J
Now, we can calculate the average power by dividing the work done by the time:
Average Power = Work / Time = 3920 J / 2.2 s
Calculating this, we find:
Average Power = 1781.82 W (rounded to 2 decimal places)
Therefore, the average power developed by the weightlifter during the lift is approximately 1781.82 watts.
To find the average power developed during the lift, we can use the formula:
Power = Work / Time
First, let's calculate the work done by the weightlifter. The work done is given by the formula:
Work = Force x Distance x cos(theta)
In this case, the force is equal to the weight of the barbell, which can be calculated using the formula:
Weight = mass x gravity
Given that the mass (m) of the barbell is 200 kg and the acceleration due to gravity (g) is approximately 9.8 m/s^2, we can calculate the weight:
Weight = 200 kg x 9.8 m/s^2 = 1960 N
The distance (d) the weightlifter raises the barbell is 2 m. The angle (theta) between the force and distance is 0 degrees since the weightlifter raises the barbell vertically.
Now, we can calculate the work done:
Work = 1960 N x 2 m x cos(0°) = 3920 J
Next, we can calculate the average power by dividing the work done by the given time of 2.2 s:
Power = 3920 J / 2.2 s = 1781.82 W
Therefore, the average power developed by the weightlifter during the lift is approximately 1781.82 Watts.