Gravitational Potential Energy Answers Why is it a ‘potential’ energy? stored energy ..................................................................................................... [1] What is the symbol for gravitational potential energy in your syllabus? Ep ........................................................ [1] What are the units of gravitational potential energy? joules ............................................................................. [2] What is the equation for gravitational potential energy? (use symbols) Ep = m g h............................................................................................................................................................ [1] …what do the symbols mean? (include units) m is mass (kg) .......................................................................................................................................... g is gravitational field strength (N/kg) .................................................................................................... h is height (m) ......................................................................................................................................... [6] How much gravitational potential energy does each of the following have? (1 mark is for showing your working) (Assume g = 9.8 N/kg) equation; answer; units; a netball (400 g) hits the hoop (3.05 m) Ep =m g h = 0.4 x 9.8 x 3.05 [3] Answer 171500 J (171.5 kJ; 172 KJ) [3] Answer 0.0132 J (0.0132349 J) ...... [3] a bar-headed goose (2.5 kg) migrating at 7 km above sea level Ep =m g h = 2.5 x 9.8 x 7000 Answer 11.956 J (12; 12.0; 11.96;) a glass marble (18.5 g) on a desk (73 cm) Ep =m g h = 0.0185 x 9.8 x 0.073 A wren (10 g) standing on a branch has a gravitational potential energy of 0.34 J. How high is the branch? Ep =m g h h = Ep / (m g) = 0.34 / (0.01 x 9.8) = 0.34 / 0.098 Answer 3.47 m (3.469387755.. m) [3] A Boeing 747 cruising at 9 km above sea level has a gravitational potential energy of 39487 MJ. What is its mass? Ep =m g h m = Ep / (h g) = 39487000000 / (9000 x 9.8) = 39487000000 / 88200 Answer 447700 kg (447698.4127) . [3] The ruby-throated hummingbird has a mass of 3 g. What is its weight? 0.0294 N........................................... [2] A protester weighing 600 N climbs on top of Big Ben (96 m). What is their gravitational potential energy? Ep =m g h = 600 x 96 Answer 57600 J (57.6 kJ)................ [3]