To calculate the work done by the weightlifter, we need to use the formula:
Work = Force × Distance × cos(theta)
In this case, the force exerted by the weightlifter is equal to the weight of the weights being lifted, which can be calculated using the formula:
Force = Mass × Acceleration due to gravity
Given: Mass = 50 kg g = 10 m/s² (acceleration due to gravity)
So, the force exerted by the weightlifter is:
Force = 50 kg × 10 m/s² = 500 N
The distance moved by the weights is the height they are lifted, which is 0.5 m.
Now, we need to calculate the angle theta between the force vector and the displacement vector. In this case, since the weightlifter is lifting the weights vertically, the angle between the force and displacement is 0 degrees. The cosine of 0 degrees is 1.
Plugging the values into the work formula:
Work = Force × Distance × cos(theta) = 500 N × 0.5 m × cos(0°) = 500 N × 0.5 m × 1 = 250 Joules
Therefore, the work done by the weightlifter is 250 Joules.