Answer:
(a). The weight of spacecraft at height 6450 km is [tex]1.767\times10^{3}\ N[/tex].
(b). The weight of spacecraft at height 33700 km is 182.46 N.
Explanation:
Given that,
Radius of earth = 6450 km
Weight of spacecraft = 7070 N
We need to calculate the weight of the spacecraft at a height 6450 km above Earth’s surface
Using formula of weight
[tex]W_{r}=W(\dfrac{r_{e}}{r_{e}+h})^2[/tex]
Where, W = weight of spacecraft
h = height
Put the value into the formula
[tex]W_{r}=7070\times(\dfrac{6450\times10^{3}}{6450\times10^3+6450\times10^3})^2[/tex]
[tex]W_{r}=1.767\times10^{3}\ N[/tex]
(b). We need to calculate the weight of spacecraft at height 33700 km
Using formula of weight
[tex]W_{r}=7070\times(\dfrac{6450\times10^{3}}{6450\times10^3+33700\times10^3})^2[/tex]
[tex]W_{r}=182.46\ N[/tex]
Hence, (a). The weight of spacecraft at height 6450 km is [tex]1.767\times10^{3}\ N[/tex].
(b). The weight of spacecraft at height 33700 km is 182.46 N.
