a. Earth's orbit would not change.
Explanation:
The force that keeps the Earth in circular motion around the Sun is the gravitational force between the Earth and the Sun, whose magnitude is given by:
where
is the gravitational constant
m is the mass of the Earth
M is the mass of the Sun
r is the distance between them
From the equation, we observe that this force depends only on three factors:
- the mass of the Earth
- the mass of the Sun
- their separation
If the Sun is replaced by a black hole of the same mass, none of these factors would change (the central mass M would remain the same), therefore the gravitational force F would not change, and therefore the orbit of the Earth would not change.
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Answer:
Zero angle is possible geometrically in a right triangle when its length of opposite side is equal to zero. Due to zero length of opposite side, the length of hypotenuse is absolutely equal to the length of hypotenuse.
At the moment contact is made with the battery, the voltage across the inductor is zero
At the instant the switch is closed, there is no current in the resistor (the inductor has prevented that), and therefore, there is no voltage across the resistor
<h3>What is Voltage ?</h3>
When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
- DC voltage and AC voltage are the two different types of voltage. In a battery, for example, the DC voltage (direct current voltage) is always of the same polarity (positive or negative). Positive and negative waves interchange within the AC voltage (alternating current voltage).
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When it comes to optics, the most basic equation to use is the Snell's Law:
n₁ sin θ₁ = n₂ sin θ₂
where θ₁ is the angle of incidence, θ₂ is the angle of refraction, and n are the index of refractions depending on the type of medium.
This equation is used when light strikes from one medium to another and you want to determine the angle of refraction. For example, as light travels from air to water, the light bends as it strike the water. The observable change you can see is that things tend to look bigger when viewed from afar.
In this case, the first medium is air which has an index of refraction of 1. So, n₁ = 1. Then, n₂ is for the glass which is equal to 25°. Substituting the values,
(1) sin 25° = (1.5) sin θ₂
θ₂ = 16.36°
15km = 15,000m
1/2h = 1800s
15,000 / 1,800 = 25/3ms^-1