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  • If the mass of sun were ten times smaller and gravitational constant G were ten times larger in magnitudes a) walking on ground would become more difficult b) the acceleration due to gravity on earth will not change

If the mass of sun were ten times smaller and gravitational constant G were ten times larger in magnitude

a) walking on the ground would become more difficult

b) the acceleration due to gravity on Earth will not change

c) raindrops will fall much faster

d) aeroplanes will have to travel much faster

Answers (1)

The correct answer is the option (a), (c), and (d).

If G'=10G

And M'_{s}=\frac{M_{s}}{10}

Then g'=\frac{G'M_{E}}{r^{2}}=\frac{10GM}{r^{2}}=10g

Weight of a person =mg'=10 mg

Hence a is correct, and b is incorrect

F on man due to sun =\frac{GM'_{s}m}{r^{2}}=\frac{GM_{s}m}{10r^{2}}

The terminal velocity v_{T}\alpha g'\; \; \; or\; \; \; \; v_{T}\; \alpha 10g

Hence raindrops fall 10 times faster. Option c is correct

In order to maintain the speed after the increase in gravitational force, the aeroplane will have to travel faster.

Posted by

infoexpert23

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