Answer :
Answer:
The linear speed when it is farthest point is 913.85 m/s
Explanation:
Given:
rp = radius at nearest point = 8.8x10¹⁰ m
ra = radius at farthest point = 5.2x10¹² m
vp = velocity nearest point = 5.4x10⁴m/s
The angular momentum is conserved, thus:
La = Lp
[tex]I_{a} w_{a} =I_{p} w_{p}\\m_{a}r_{a}^{2} w_{a} =m_{p}r_{p}^{2} w_{p}\\w_{a} =\frac{r_{a} }{v_{a} } \\w_{p} =\frac{r_{p} }{v_{p} } \\Replacing\\\frac{r_{a}^{2}v_{a} }{r_{a} } =\frac{r_{p}^{2}v_{p} }{r_{p} }\\v_{a} =\frac{r_{o}v_{p}}{r_{a} } =\frac{8.8x10^{10}*5.4x10^{4} }{5.2x10^{12} } =913.85m/s[/tex]