Road rage is an aggressive driving incident where the driver has:
1 answer:
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Answer:
h = 1.014 x m
Explanation:
Given that,
The planet rotates once every 10.2 h
Therefore, in one hour it would take 1/10.2 rev/h
The rotational speed of the planet
= 0.098 rev/h
Converting into seconds
= 2.72 x rev/s
Converting to radians, the rotational angular velocity is
ω = 1.709 x rad/s
The mass of the planet, M = 2.2 x Kg
Radius of the planet, R = 6.99 x m
Gravitational constant, G = 6.67 x Nm²/Kg²
To find the height 'h' of the synchronous orbit above the planet surface,
The orbital velocity of the planet is given by the expression
V =
Since
V = (R+h)ω
Substituting in the above equation
(R+h)ω =
Squaring on both sides
{(R+h)ω}² =
(R+h)³ =
Solving for h
h = - R
Substituting the values in the above equation
h = m
h = 1.014 x m
So, the height of the synchronous orbit above the surface is 1.014 x m