if escape velocity and orbital velocity of a satellite for Orbit close to the Earth's surface then these are related by
1 answer:
Answer:
The ratio of the escape velocity to the orbital velocity is .
Explanation:
The minimum velocity given to an object so that it escapes from the earth's gravitational pull is called escape velocity.
The formula of the escape velocity is
The velocity of an object in the orbit around the earth is called orbital velocity.
The formula of the orbital velocity is
The ratio of the escape velocity to the orbital velocity is
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Answer:
v_max = (1/6)e^-1 a
Explanation:
You have the following equation for the instantaneous speed of a particle:
(1)
To find the expression for the maximum speed in terms of the acceleration "a", you first derivative v(t) respect to time t:
(2)
where you have use the derivative of a product.
Next, you equal the expression (2) to zero in order to calculate t:
For t = 1/6 you obtain the maximum speed.
Then, you replace that value of t in the expression (1):
hence, the maximum speed is v_max = ((1/6)e^-1)a