If the mass of the sun is 1x, at least one planet will fall into the habitable zone if I place a planet in orbits___, ____, ____
1 answer:
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To solve this problem it is necessary to apply the concepts related to acceleration due to gravity, as well as Newton's second law that describes the weight based on its mass and the acceleration of the celestial body on which it depends.
In other words the acceleration can be described as
Where
G = Gravitational Universal Constant
M = Mass of Earth
r = Radius of Earth
This equation can be differentiated with respect to the radius of change, that is
At the same time since Newton's second law we know that:
Where,
m = mass
a =Acceleration
From the previous value given for acceleration we have to
Finally to find the change in weight it is necessary to differentiate the Force with respect to the acceleration, then:
But we know that the total weight (F_W) is equivalent to 600N, and that the change during each mile in kilometers is 1.6km or 1600m therefore:
Therefore there is a weight loss of 0.3N every kilometer.
Answer:
Now when it will reach at point B then its normal force is just equal to ZERO
Explanation:
Since we need to cross both the loops so least speed at the bottom must be
also by energy conservation this is gained by initial potential energy
so we will have
now we have
here we have
R = 7.5 m
so we have
Now when it will reach at point B then its normal force is just equal to ZERO
now when it reach point C then the speed will be
now normal force at point C is given as