Gravity and Work Calculation in Weightlifting
How can we calculate the work done by a weightlifter when lifting a barbell against gravity?
A weightlifter lifts a 13.0-kg barbell from the ground and moves it a distance of 1.30 meters upwards. What is the work she does on the barbell?
The work done by the weightlifter on the barbell can be calculated using the equation W = Fd, where W is the work done, F is the force applied, and d is the displacement of the object. In this case, the weightlifter is applying a force to lift the barbell against the force of gravity. The weight of the barbell can be calculated as W = mg, where m is the mass of the barbell and g is the acceleration due to gravity (approximately 9.8 m/s^2).
When calculating the work done by the weightlifter on the barbell, we first determine the weight of the barbell, which is the force the weightlifter needs to overcome. The weight of the barbell is calculated as W = (mass of the barbell) x (acceleration due to gravity). Substituting the given values, we get W = (13.0 kg)(9.8 m/s^2) = 127.4 N.
Next, to find the work done, we multiply the force (127.4 N) by the distance moved (1.30 m). Therefore, the work done by the weightlifter on the barbell is W = (127.4 N)(1.30 m) = 165.6 J. Rounding this to the nearest whole number, the work done by the weightlifter on the barbell is approximately 166 J.
Understanding how work is calculated in weightlifting scenarios can help us appreciate the effort and energy required in such activities. It also demonstrates the application of physical principles, such as gravity, in everyday tasks. By learning more about these concepts, we can deepen our understanding of the world around us and the physics that govern it.