Question

A planet has a mass 20% more than that of earth and radius is 20% less than that of earth. then find the acceleration due to gravity.

Answer 1

Answer:

Force due to gravity at earth's surface on a mass m:

F = GMm/R2

F = Gravitational Force

G = Gravitational Constant

M = Earth's Mass

m = mass of body

R = Earth's radius

The acceleration is F/m:

g = F/m = GM/R2

For a planet with 0.9M and 1.2R:

a = G(0.9M)/(1.2R)2 = 0.625 (GM/R2) = 0.625g (62.5% of Earth's acceleration due to gravity)

Answer 2

Answer: The acceleration due to gravity will be 187.5% when the mass becomes 20% more and radius is 20% less than that of earth.

Explanation:

Gravitational force due to gravity at earth's surface on mass m:

$F = \frac{GM}{R^{2} }$

As we know, force= mass × acceleration

therefore, acceleration =  $\frac{F}{m}$    

g =  $\frac{F}{m} = \frac{GM}{R^{2} }$

Mass and radius  after 20% more and 20% lesser Respectively are 1.2 m and 0.8R (Assuming the value of mass and radius as 1)

a = $\frac{G(1.2m)}{(0.8R^{2} )}$

a = $\frac{1.2}{(0.8)^{2} }$ $(\frac{GM}{R^{2} } )$

a = 1.875 $(\frac{GM}{R^{2} })$

187.5% of earth's acceleration due to gravity.

Learn more about it:

https://brainly.in/question/1144773

https://brainly.in/question/23778544

#SPJ2