Gravitation Question 57
Question: A research satellite of mass 200 kg circles the earth in an orbit of average radius 3R/2 where R is the radius of the earth. Assuming the gravitational pull on a mass of 1 kg on the earth’s surface to be 10 N, the pull on the satellite will be[Kerala (Engg.) 2002]
Options:
A) 880 N
B) 889 N
C) 890 N
D) 892 N
Show Answer
Answer:
Correct Answer: A
Solution:
$ [g’=g,{{\left( \frac{R}{R+h} \right)}^{2}}=g,{{\left( \frac{R}{3R/2} \right)}^{2}}=\frac{4}{9}g] $ \ $ [W’=\frac{4}{9}\times mg=\frac{4\times 200\times 9.8}{9}=880\ N] $