Question

let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth .Suppose the earth's radius decreases by 2%keeping all other quantities same,then????

Answer 1

Answer:

G And K both decrease 4%

Explanation:

CHECK THE THUMBNAIL DUDE.

Answer 2

Explanation:

g=

R

2

GM

or g∝R

−2

∴ % change in g=(−2) (% change in R)

=(−2)(−2)=+4%

Rotational kinetic energy,

K=

2I

L

2

.....(i)

L= angular momentum = constant

I=

5

2

mR

2

......(ii)

From Eqs. (i) and (ii),

K∝R

−2

∴ % change in K =(−2) (% change in R)

=(−2)(−2)=+4%