Question

moon is moving in a circular orbit of radius 184000 Km . calculate its speed if it takes 27.3 days to revolve around the earth

Answer 1

Answer:

Given:

T=27.3 day

r=3.84×10

4

KM

T=2π

GM

r

3

27.3=2×3.14

6.67×10

−11

×M

(3.84×10

5

)

3

or2.73×2.73=

6.67×10

−11

×M

2×3.14×(3.84×10

5

)

orM=

6.67×10

−11

×M

2×(3.14)

2

×(3.84)

3

×(3.84×10

5

)

3

or M =

3.335×10

−11

(27.3)

2

2×3.14(3.84×10

5

)

3

×10

15

=6.02×10

24

Kg

∴ mass of earth is found to be 6.02×10

24

Kg