what will be the value of gravitational acceleration at the planet whose mass and radius are double that of Earth?
Answers
9.8 m/s :-)
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Using the formula for acceleration due to gravity :g=GM/R square, ………………………………..(i):g = acceleration due to gravity, G = Newton’s gravitational constant = Approx. approximately 6.67 x 10-11 N * m2 / kg2. Let us assume :m= mass of the Earth, and m'= mass of the planet in our question,r= radius of that Earth, r'= radius of the planet in the question .
Let's take g for earth =g and g for the planet in our question =g'.As it is given that in question, mass and radius of the planet is double the mass of the earth, so, m'= 2m,r'= r/2,
Then substituting the values in our equation (i) :-g' = Gm'/r'²,g' = (G(2m)) / (r²/4).
Hence, g'= 8(Gm/r²).Which gives, g'=8(g). Hence gravitational acceleration of the planet is eight times that of earth.
Mass :
quantity of matter present in a body.
Acceleration due to gravity:
The acceleration which is achieved by a body due to of the gravitational force is called its acceleration due to gravity.
The formula of acceleration due to gravity is : 'the change in velocity= gravity x time'.
The value of acceleration due to gravity at the surface of Earth is indicated as g.
It has an international standard value defined as 9.80665 m/s2.