At what height would the gravitational potential energy have a value of 73.7 joules for a 15 kilogram object? Note that acceleration due to gravity is 9.8 meters/second2 ... A. 0.5 meters. B. 1.2 meters. C. 2.0 meters. D. 3.1 meters. E. 3.4 meters

Question

Brando

Mathematics

24 October, 22:37

At what height would the gravitational potential energy have a value of 73.7 joules for a 15 kilogram object? Note that acceleration due to gravity is 9.8 meters/second2 ... A. 0.5 meters. B. 1.2 meters. C. 2.0 meters. D. 3.1 meters. E. 3.4 meters

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Twig · Answer 1

Acceleration due to gravity: g = 9.8 m/s²;

h - height;

m - mass, m = 15 kg;

E p - potential energy; E p = 73.7 J

E p = m · g · h

h = E p / (m · g)

h = 73.7 J / (15 kg· 9.8 m/s²) = 73.7 / 147 = 0.5 m

Answer: A) 0.5 meters