suppose a planet exists whose mass and radius both are half those of earth calculate acceleration due to gravity on the surface of this planet
Answers
Answered by
32
We know that,
g= GM/r²
Now, mass is half
Therefore M(Planet)= M(earth)/2
And radius is half,
r(planet)²={r(earth)/2}²
r(planet)²=r(earth)²/4
Now, putting these values,
g(planet)= GM/2÷r²/4
g(planet)= 2(GM/r²)
That is, g of other planet is double of that on earth.
g(earth) = 9.8m/s²
g(planet)= 2×9.8= 19.6m/s²
Hope it helps! Please mark it as 'Brainliest'!
g= GM/r²
Now, mass is half
Therefore M(Planet)= M(earth)/2
And radius is half,
r(planet)²={r(earth)/2}²
r(planet)²=r(earth)²/4
Now, putting these values,
g(planet)= GM/2÷r²/4
g(planet)= 2(GM/r²)
That is, g of other planet is double of that on earth.
g(earth) = 9.8m/s²
g(planet)= 2×9.8= 19.6m/s²
Hope it helps! Please mark it as 'Brainliest'!
Similar questions