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At perihelion a planet in another solar system is 175 x 106 km from its sun at traveling at 40 km/s. At aphelion it is 250 x 106 km distant. What is its speed at aphelion

Sagot :

okpalawalter8

The speed at aphelion is mathematically given as

v2 = 21.43 km/s

What is its speed at aphelion?

Question Parameter(s):

At perihelion a planet in another solar system is 175 x 106 km from its sun at traveling at 40 km/s.

At aphelion it is 250 x 106 km distant.

Generally, the equation for the angular momentum conservation is mathematically given as

I1*w1 = I2*w2

Therefore

(0.5*m*R1^2)*v1/R1 = (0.5*m*R2^2)*v2/R2

Where

v1*R1 = v2*R2

v2 = v1*(R1/R2) = (30*10^3)*(2.50*10^11)/(3.50*10^11)

v2 = 2.1428*10^4 m/s

v2 = 21.43 km/s

In conclusion, speed is

v2 = 21.43 km/s

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