Question

the gravitational force on a body of mass 60 kg is 588N if the mass of earth is 6×10²⁴ kg and radius of earth is 6.4×1000000 find the value of G

Answer 1

F=588N
m1=60kg
Me=6×10^24
R=6.4×10^6
USING F=GMMe/R^2
588=G×60×6×10^24/6.4×10^6×6.4×10^6
G=6.4×10^6×6.4×10^6×588/6×10^24
G=4×10^9 (APPROX)
..HOPE YOU GET THE ANSWER

Answer 2

Answer:

6.67×10 to the power -11

Explanation:

M=mass of earth

M=6×10²⁴

m=mass of object

m=60 kg

R=radius of the earth

R=6.4×10⁶

F=Force of Gravitation

F=588N

[According to Newton's law of Gravitation]

F=GMm÷R²

or if we simplify it

G=FR²÷Mm

on placing values

G=588×6.4²×(10⁶)²÷6×10²⁴×60

G=588×40.96×10¹²÷36×10²⁵

on solving, we get

G=6.67×10 to the power -11