Question

if the acceleration due to gravity on Earth is 10 metre per second square compute the acceleration of a hypothetical planet whose mass is 3 times of mass of the earth and radius is half of the earth​

Answer 1

Answer:

Hence, the answer is 5m/s2.The acceleration which is gained by an object because of gravitational force is called its acceleration due to gravity. ... The acceleration due to gravity at the surface of Earth is represented by the letter g. It has a standard value defined as 9.80665 m/s2 (32.1740 ft/s2).Acceleration due to gravity depends directly on the mass of Earth and inversely to the square of radius of EarthIts value near the surface of the earth is 9.8 ms-2. Therefore, the acceleration due to gravity (g) is given by = GM/r2.

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Under the gravitational influence on two bodies, the mass in terms of mass is given by,

FA = GMmA/r2,

FB = GMmB/r2,

mB = [FB/FA] × m. A

Gravitational force between the Earth and an object is the force of gravity, Fg=R2GMm where G is the constant of gravitation, M and m are the masses of Earth and the object, R is the distance between the object and center of Earth.