Final answer:
The work done by a weightlifter in lifting 190 kg from 1.5 m to 2.0 m is 931 Joules, calculated by using the work formula W = F × s, where the force is the product of mass and gravity, and the displacement is the change in height.
Step-by-step explanation:
To calculate the work done by the weightlifter, you can use the formula for work (W) which is the product of the force exerted (F) and the displacement (s), or W = F × s. Since the weightlifter is lifting vertically, the force exerted is equal to the weight of the object, which can be found by multiplying the mass (m) by the acceleration due to gravity (g). The displacement (s) is the difference in height.
First, calculate the weight:
- Weight (F) = mass (m) × gravity (g) = 190 kg × 9.8 m/s^2
- F = 1862 N (rounded to the nearest whole number)
Then, find the displacement:
- Displacement (s) = final height - initial height = 2.0 m - 1.5 m
- s = 0.5 m
Finally, calculate the work done:
- Work (W) = F × s = 1862 N × 0.5 m
- W = 931 J
Therefore, the work done by the weightlifter to lift the 190 kg weight from 1.5 m to 2.0 m above the ground is 931 Joules.