Question

(b) Assuming that the earth is a uniform sphere of radius 6.4 × 106 m and mass 6 x 1024 kg. Calculate the work done in taking a 10 kg mass from the earth surface to a point where earth's gravitational field is negligible. (Ans: 62.8 × 107 J)​

Answer 1

Answer:

here see

Explanation:

Here, R=6400×10  

3

m=6.4×10  

6

m

ρ=5.5g/c.c.=5.5×10  

3

 kg/m  

3

 

Now, g=  

R  

2

 

GM

​

=  

R  

2

 

G

​

×  

3

4

​

πR  

3

×ρ

=  

3

4

​

πGRρ

=  

3

4

​

×  

7

22

​

×6.66×10  

−11

×6.4×10  

6

×5.5×10  

3

 

=9.82ms  

−2

.