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A baseball player slides to a stop on level ground with an initial speed of 6.00 m/s and mass 65.0 kg, experiencing a constant friction force of 450 N. Using energy considerations, how far does he slide before stopping?

A1.30 m
B5.20 m
C2.60 m
D0.867 m
Answer & Solution
Correct answer: C. 2.60 m
1. On level ground, friction alone does negative work to remove all of the player's kinetic energy, so f d equals one half m vi squared. 2. Solving for the distance, d = m vi squared divided by (2 f). 3. Substituting the values, d = (65.0 kg)(6.00 m/s)^2 divided by (2 times 450 N). 4. The numerator is 65.0 times 36.0, which is 2340 kg*m^2/s^2, and the denominator is 900 N. 5. Dividing gives d = 2.60 m. 6. 5.20 m comes from forgetting the factor of 2 in the denominator, and 1.30 m and 0.867 m come from dividing by an extra factor of 2 or 3 beyond the correct denominator. _Source: OpenStax College Physics (CC BY 4.0), Ch 7 "Work, Energy, and Energy Resources", section 7.5 Nonconservative Forces_
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