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Chapter 4 Gravity and Mechanical Energy - Grade 10 4.1 Weight Weight is the gravita tional for ce that the Earth exerts on any object. The weight of an objects gives you an indication of how strongly the Earth attracts that body towards its centre. Weight is calcu lated as follo ws: Weight = mg where  m = mass of the object (in kg) and  g  = the acceleration due to gravity (9,8 m·s −2 ) For example, what is Sarah’s weight if her mass is 50 kg. Sar ah’s weight is calculated according to: Weight =  mg = (5 0 kg)( 9,8 m · s −2 ) = 490 kg ·  m · s −2 = 490 N Important:  Weight is sometimes abbreviated as  F g  which refers to the force of gravity. Do not use the abbreviation ’W’ for weight as it refers to ’Work’. Now, we have said that the value of  g  is approximately 9,8 m·s −2 on the surface of the Earth. The actual value varies slightly over the surface of the Earth. Each planet in our Solar System has its own value for  g . These values are listed as multiples of  g  on Earth in Table 4.1 Wo rke d Example 15: Deter minin g mass and weig ht on other planets Question:  Sarah’s mass on Earth is 50 kg. What is her mass and weight on Mars? Answer Step 1 : Deter mine what information is given and what is asked m (on Earth) = 50 kg m (on Mars) = ? Weight (on Mars) = ? 67

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