Question

Calculate the amount of energy required to escape from the surface of the following bodies, relative to that required to escape from the surface of Earth.

a. Uranus_____________x engery to escape earth = 3.65

b. Saturn____________x energy to escape earth....

I cannot find Saturns

Answer #2

**Answer:**

From the Planetary fact sheet, mass of the Earth m_{e} =
5.97 x 10^{24} kg, mass of the Uranus m_{u} = 86.8
x 10^{24} kg, mass of the Saturn m_{s} = 568 x
10^{24} kg and the escape velocities are v_{e} =
11.2 km/s, v_{u} = 21.3 km/s and v_{s} = 35.5
km/s.

The energy is required to escape from the planet must be equal
to the kinetic energy due to planet's escape velocity, that means,
kinetic energy K = mv_{esc}^{2} / 2.

(a) For Unrnus relative to that required to escape from the earth,

K_{u}/K_{e} =
(mv_{u}^{2} / 2) / (mv_{e}^{2} / 2)
= (v_{u}/v_{e})^{2} = (21.3 km
s^{-1}/11.2 km.s^{-1})^{2} =
**3.62.**

(b) For Saturn,

K_{s}/K_{e} =
(v_{s}/v_{e})^{2} = (35.5
km.s^{-1}/11.2 km.s^{-1})^{2} =
**10.04.**

answered by: anonymous

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