An astronaut is in a spacecraft goes into circular orbit above a straight planet that has radius of 2100 the craft is going at 1200 metre per second at an altitude of 6500 kilometre he has a life support pack that has a mass of 60 kg what will the life support pack weight on the surface of the planets
Answers
Answer:
Given,
Radius of the earth, R=6400km
Acceleration due to gravity, g=9.8m/s
2
When a satellite is orbitting the earth its velocity is its orbital velocity given by orbital velocity:
V
0
=
R
GM
=
g
R [∵g=
R
2
GM
]
If it has to overcome gravitational pull then its velocity should be escape velocity escape velocity V
e
=
r
2GM
=
2gR
Additional velocity required is V=V
e
−V
0
=
2gR
−
gR
=
gR
(
2
−1)
given that R=64004m=64×10
6
m
g=9.8m/s
2
So, additional velocity will be:
V=
gR
(
2
−1)=
9.8×6.4×10
6
(
2
−1)
⇒V=3.28×10
3
m/s
Answer:
Explanation:
Given,
Radius of the earth, R=6400km
Acceleration due to gravity, g=9.8m/s ²
When a satellite is orbitting the earth its velocity is its orbital velocity givenby orbital velocity:
V 0 = R
GM = g
R [∵g= R 2 GM ]
If it has to overcome gravitational pull then its velocity should be escape velocity escape velocity V
e = r 2GM = 2gR
Additional velocity required is V=V
given that R=64004m=64×10
6 m g=9.8m/s ²
So, additional velocity will be:
V= gR
( 2 −1)= 9.8×6.4×10 6 ( 2−1)
⇒V=3.28×10
3 m/s