Julia flops backward off of a diving board situated 10.0 meters above the water.
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Answer:
The speed of orbit when it crosses Mercury, v = 5.4 x 10⁴ m/s
Explanation:
Given,
The mass of the comet, m = 1.5 x 10³³ Kg
The mass of the sun, M = 1.99 x 10³⁰ Kg
The velocity of the comet at the orbit of mars, V = 3.1 x 10⁴ m/s
The radius of orbit of mars, R = 2.28 x 10⁸ km
= 2.28 x 10¹¹ m
The radius of orbit of mercury, r = 5.79 x 10⁷ Km
= 5.79 x 10¹⁰ m
The velocity of orbit at a distance R from the sun is given by the formula
Substituting the given values in the above equation
= 2.41 x 10⁴ m/s
Given that the velocity of a comet passing the orbit of mars is 3.1 x 10⁴ m/s
The discrepancy in the velocity is 0.7 x 10⁴ m/s
This is due to the high eccentricity of the orbit of a comet.
The velocity of a comet crossing the orbit of mercury is
= 4.7 x 10⁴ m/s
Adding the discrepancy to the above value gives
v = 5.4 x 10⁴ m/s
Hence, the velocity of the comet crossing the orbit of mercury is, v = 5.4 x 10⁴ m/s