Work Done by Weightlifter Lifting a Barbell

How high does a weight lifter lift a barbell when doing 490 J of work on it?

The weightlifter lifts the barbell to a height of approximately 2.5 meters.

Calculation of Work and Distance

The work done on an object can be calculated using the formula: Work = Force × Distance × cos(θ). In this case, the work done is 490 J. The force applied is equal to the weight of the barbell, which is given by the equation: Force = mass × acceleration due to gravity. The acceleration due to gravity is approximately 9.8 m/s^2. So, the force exerted by the weight lifter is: Force = 20 kg × 9.8 m/s^2. Now we can rearrange the work formula to solve for distance: Distance = Work / (Force × cos(θ)). Since the force is acting vertically upward and the angle (θ) between the force and the displacement is 0°, the cosine of 0° is 1. Therefore, the equation becomes: Distance = Work / Force. Plugging in the given values, we have: Distance = 490 J / (20 kg × 9.8 m/s^2). Simplifying the equation, we find that the weightlifter lifts the barbell to a height of approximately 2.5 meters.
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