Question

the radius of earth is 6400 km and that of Mars Mars is 3200 kilometre the mass of earth is 10 time as that of mass if an object weight 200 Newton on surface of earth is its weight on surface of Mars would be ​

Answer 1

Answer:Radius of earth R  

e

​  

=6400 and that of Mars is R  

m

​  

=3200 so R  

e

​  

=2R  

m

​  

 

And if mass of earth be M  

e

​  

 and that of Mars is M  

m

​  

 then M  

e

​  

=10M  

m

​  

 

Value of g on mars g  

m

​  

=  

R  

m

2

​  

 

GM  

m

​  

 

​  

 

and that on earth is g  

e

​  

=  

R  

e

2

​  

 

GM  

e

​  

 

​  

=  

4×R  

m

2

​  

 

G×10M  

m

​  

 

​  

=2.5  

R  

m

2

​  

 

GM  

m

​  

 

​  

 or g  

m

​  

=g  

e

​  

/2.5

Weight on earth is 200N so mass 200/g  

e

​  

 

Now weight on Mars will be mass×g  

m

​  

=(200/g  

e

​  

)×g  

m

​  

=200×  

g  

e

​  

 

g  

m

​  

 

​  

=200/2.5=80N