Response:
83.1946504051 m
Rationale:
u = Starting velocity =
s = Distance traveled =
= Incline =
Friction coefficient
The calculated stopping distance is 83.1946504051 m
Imagine that the satellite described in the problem introduction is used to transmit television signals. You have a satellite TV
1 answer:
Complete Question
A satellite in geostationary orbit transmits data using electromagnetic radiation, positioned 35,000 km above the Earth's surface, with an isotropic power output of 1 kW (although actual satellite antennas transmit with less power but more directionally).
Now, imagine this satellite relays television signals and you have a satellite TV receiver with a circular dish of radius R that focuses the electromagnetic energy from the satellite onto a receiver with a surface area of 5 cm2.
What radius R must this dish have to achieve an electric field vector amplitude of 0.1 mV/m at the receiver?
Assuming your house is situated directly beneath the satellite (as calculated previously), that the dish reflects all incoming signals to the receiver without any losses in the reception process, and that the dish has a curvature where R refers to its projection perpendicular to the direction of the incoming signal.
Present your answer in centimeters, rounded to two significant figures.
Answer:
The radius of the dish is
Explanation:
The question indicates that
The orbital radius is =
The power output is
The electric vector amplitude is noted as
The receiver's area is
Overall, the intensity of the dish can be mathematically expressed as
Here, A represents the area of the orbit, described as the surface area of a sphere, thus calculated as
Ultimately, substituting the values into the intensity equation
Therefore, the intensity received by the dish can be mathematically evaluated as
With c symbolizing the speed of light which has a constant value of
is the permittivity of free space, valued at
indicates the electric field present on the dish
Assuming no loss, the intensity from the satellite equals the intensity hitting the receiver dish
Setting the electric field intensity as the subject of the formula
Inputting values
The power incident on the dish reflects what is delivered to the receiver
Where symbolizes the power incident on the dish expressed mathematically as
And is the incident power on the dish represented as
Equating the two gives
Solving for R yields
Substituting values gives
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Answer:
Explanation:
Transformation of Energy
Also known as energy conversion, this refers to the process in which energy shifts from one type to another. In this context, three energy forms are involved. When the object is stationary at the ramp's peak, it possesses gravitational potential energy, calculated as
As the object descends the frictionless ramp, it converts all its potential energy into kinetic energy, represented as
Thus,
Ultimately, when the object encounters a rough surface, all energy converts to thermal energy. The work performed by the friction force corresponds to the alteration in kinetic energy, as all velocity is lost in this process:
Given the kinetic energy equals the initial potential energy:
The negative sign indicates that the work acted against the direction of movement, meaning the force and displacement are 180° apart.
This outcome is independent of the distance D needed to halt the block or the kinetic friction coefficient.