20. The speed of Light is 3.0 x 108 m/s. Blue Light has a frequency of 6.11 x 1014 Hz. What is its wavelength?
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Answer: M = 42.553· kg
Explanation: A orbit where a body remains traveling around a gravitating mass at constant radius is called Circular Orbit. Although in reality the orbit is more like an ellipse, the circular orbit is a good approximation to the real one.
In that system, it is possible to determine the velocity needed to maintain the orbit. The formula is: v = , where:
v is velocity;
G is the gravitational constant( = 6.67·)
M is the mass of the gravitating mass;
r is the distance between the center of the massive object and the orbiting object;
But, this question is asking for the mass M, so, rearraging:
Transforming light-years in metres and dividing by 2 to find the radius:
r = (15.9.461 x 10¹⁵)· = 70.9575
M =
M = 42.553.kg
The mass of the massive object at the center of the ring is 42.553.kg.