A baseball (m=145g) traveling 40 m/s moves a fielder's glove backward 27 cm when the ball is caught. part a what was the average force exerted by the ball on the glove? express your answer to two significant figures and include the appropriate units.

Question

Physics

Andreas Fuentes

11 August, 17:44

A baseball (m=145g) traveling 40 m/s moves a fielder's glove backward 27 cm when the ball is caught. part a what was the average force exerted by the ball on the glove? express your answer to two significant figures and include the appropriate units.

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Rhys Lara · Answer 1

4.3x10^2 Newtons The energy the baseball has is expressed as E = 0.5 M V^2 E = 0.5 0.145 kg 40 (m/s) ^2 E = 0.0725 kg 1600 m^2/s^2 E = 116 kg m^2/s^2 Work is defined as force over distance, and for this problem, the distance is the 0.27 meters that the ball was decelerated over. So let's divide out that distance. 116 kg m^2/s^2 / 0.27 m = 429.6296296 kg m/s^2 = 429.6296296 N Rounding to 2 significant figures gives 430 Newtons. To make the number of significant figures completely unambiguous, scientific notation is perfect with a value of 4.3x10^2 Newtons.