CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Assuming the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?


Solution

Weight of a body of mass $$m$$ at the Earth's surface,$$W=mg=250\ N$$
Body of mass $$m$$ is located at depth, $$d=R_e/2$$
Acceleration due to gravity at depth $$g(d)$$ is given by the relation: 
$$g'=(1-\dfrac{d}{R_e})g$$

$$g'=(1-\dfrac{R_e}{2R_e})g$$
     $$=g/2$$
Weight of the body at depth $$d$$, 
$$W'=mg'$$
       $$=mg/2=W/2$$
       $$=125\ N$$

Physics
NCERT
Standard XI

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image