how would the values of g and G be affected if mass of Erath becomes two times
Answers
Answer:
Explanation:
G is a fundamental constant of nature and will not be changed by altering the properties of the earth.
The way that g changes will depend on how the radius/density of the earth changes during its fourfold increase in mass. Gauss’s law can be applied to gravity, because the law is inverse square. If you keep the radius of the earth the same, but increase the mass fourfold, the enclosed mass will go up by a factor of four, and thus the force by the same factor.
You can actually see this just from Newton’s law of universal gravitation, rearranged to express little g.
g=−GMearthr2
If you keep all variables the same but increase the mass of the earth fourfold, g will increase fourfold as well.
If the size of the earth does not remain the same after the change, then g will change in accordance to the equation above.