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Weight and Mass - Answers N/kg kg N weight = mass gravitational field strength W=mg Not so Tricky On Earth, the gravitational field strength, g, is 9.81 N/kg 1. Calculate the weight of the following objects on Earth: a. W = mg = 22 × 9.81 = 216 N (to 3 SF) b. W = mg = 1110 × 9.81 = 10 900 N c. W = mg = 0.3 × 9.81 = 2.94 N d. W = mg = (1.2 + 5 × 0.5) × 9.81 = 3.7 × 9.81 = 36.3 N e. W = mg = 0.058 × 9.81 = 0.569 N 2. Calculate the mass of the following objects (the weight as measure on Earth is given): a. m = W/g = 490/9.81 = 49.9 kg b. m = W/g = 9.81/9.81 = 1.00 kg c. m = W/g = 2500/9.81 = 255 kg Trickier 3. Complete the following table: Weight, W Mass, m Girl on a scooter 589 N 60kg Gravitational Field Strength, g 9.81 N/kg Moped and rider 1800 N 183 kg 9.81 N/kg 28 N 100 kg 0.28 N/kg 1.96 × 10-3 N 200 milli-grams 9.81 N/kg 5500 kN 561 000 kg 9.81 N/kg 3 kN 1 gram 3 × 106 N/kg g on surface of Ceres (Dwarf planet) Dose of medicine Airbus A380 (maximum take-off weight) g on surface of a White-Dwarf star 4. An astronaut, with her space-suit, has a mass of 80 kg. The gravitational field strength on the Moon is one sixth that on Earth. a. W = mg = 80 × (9.81/6) = 131 N b. It stays the same (i.e. 80 kg) c. g = W/m = 296/80 = 3.7 N/kg d. Her weight would increase since the gravitational field strength at the surface of Jupiter is much higher than Earth (it’s approximately 25 N/kg). So she would feel 2.5 times heavier than she does on Earth.