Gravitational force varies as mass / (radius squared). Thus a 1 ton mass at 10 m
ID: 1648222 • Letter: G
Question
Gravitational force varies as mass / (radius squared). Thus a 1 ton mass at 10 m exerts the same force as a 100 ton mass at 100 m and a car (1 ton) at 1 m exerts the same force as a our Moon (about 10^20 tons) at a distance of _______ m or _______ km.
10^10 m = 10^7 km = 10 million km.
10^20 m = 10^10 km = 10 billion km.
10^10 m = 10^6 km = 1 million km.
10^20 m = 10^17 km = one million billion km
10^10 m = 10^8 km = 100 million km.
10^10 m = 10^7 km = 10 million km.
10^20 m = 10^10 km = 10 billion km.
10^10 m = 10^6 km = 1 million km.
10^20 m = 10^17 km = one million billion km
10^10 m = 10^8 km = 100 million km.
Explanation / Answer
Gravitational force is given by
F = GMm/r2
Force exerted by 1 ton car at 1 m will be
F = G*(1)*m /12
And the force exerted by the moon will be
F = G*(1020)*m /r2
Equating the two forces
G*(1)*m /12 = G*(1020)*m /r2
r2 = 1020 m
r = 1010 m
hence the first option is correct answer.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.