A soccer ball drops some distance and loses 30 J of gravitational potential energy. Do not ignore air resistance. How much kinetic energy did the ball gain?
A soccer ball drops some distance and loses 30 J of gravitational potential energy. Do not ignore air resistance. How much kinetic energy did the ball gain?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Problem: Energy Transformation with Air Resistance**
A soccer ball drops some distance and loses 30 J of gravitational potential energy. Do not ignore air resistance. How much kinetic energy did the ball gain?
**Explanation:**
This problem deals with the transformation of energy as a soccer ball falls. Initially, the ball has gravitational potential energy due to its height. As it falls, this energy is converted into kinetic energy. However, because air resistance is present, not all of the gravitational potential energy is converted into kinetic energy. Some energy is lost to the surroundings.
In this scenario, the ball loses 30 J of gravitational potential energy. To find out how much kinetic energy the ball gains, consider the energy lost to air resistance. Air resistance causes a decrease in the efficiency of energy transformation.
**Solution Approach:**
- Calculate the kinetic energy gained by the ball by subtracting the energy lost to air resistance from the initial gravitational potential energy.
- Note: Specific values for air resistance loss would be required to determine the exact kinetic energy gained.
There are no graphs or diagrams in the problem statement.
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