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CBSE Class 11-science Answered

A body weighs 90 kgf on the surface of the earth.How much will it weigh on the surface of the mars,whose mass is 1/9 and radius 1/2 of that of the earth?
Asked by prabal | 10 Jan, 2019, 08:56: PM
answered-by-expert Expert Answer
weight on Earth surface 90kgf = 90×9.8 Newton = 882 Newton
 
acceleration due to gravity on earth surface = begin mathsize 12px style fraction numerator G M over denominator R squared end fraction end style m/s2 , where M is mass of earth and R is radius.
if mass of mars is 1/9 of that of earth and radius of mars is 1/2 of that of earth,
then acceleration due to gravity on Mar's surface = begin mathsize 12px style 4 over 9 fraction numerator G M over denominator R squared end fraction end style m/s2
hence weight of the given body on Mars surface = 90×9.8×(4/9)  = 392 Newton = 40kgf
Answered by Thiyagarajan K | 10 Jan, 2019, 09:23: PM
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