Gravity, Weight and Mass Mass vs Weight Mass, Weight and Gravity Mass is a measure of matter Mass is constant Weight is a force Weight is not a constant Weight of an object depends on gravity Calculating weight with mass and gravity The weight of an object depends on its mass and the strength of gravity Two meanings for ‘g’ Represents the acceleration of gravity in free fall which is 9.8m/s2 Or Represents strength of gravity which is 9.8N/kg. An object is weightless when it has zero gravity Physics Problems A 10-kilogram ball is supported at the end of a rope. How much force (tension) is in the rope? You are asked to find force. You are given a mass of 10kg W=mg W=(10kg)(9.8N/kg)=98N **Tension force in the rope is 98 Newtons Physics Problems How much would a person who weighs 490 N (110 lbs) on Earth weigh on Jupiter? Since Jupiter may not have a surface, on means at the top of the atmosphere. The value of g at the top of Jupiter’s atmosphere is 23 N/kg. You are asked for the weight You are given the weight on Earth and the strength of gravity on Jupiter. Use W = mg First, find the person’s mass from weight on Earth: m = (490 N) ÷ (9.8 N/kg) = 50 kg. Next, find the weight on Jupiter: W = (50 kg) × (23 N/kg) = 1,150 N (259 lbs)