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Alex17521 [72]
4 years ago
15

A plane flies horizontally at an altitude of 3 km and passes directly over a tracking telescope on the ground. when the angle of

elevation is π/6, this angle is decreasing at a rate of π/4 rad/min. how fast is the plane traveling at that time?
Physics
1 answer:
Lubov Fominskaja [6]4 years ago
3 0
The solution is:tan(θ) = opp / adj tan(θ) = y/x xtan(θ) = y 
Find x:
x = y/tan(θ) 
So x = 3/tan(π/6) 
Perform implicit differentiation to get the equation:
dx/dt * tan(θ) + x * sec²(θ) * dθ/dt = dy/dt 
Since altitude remains the same, dy/dt = 0. Now... 
dx/dt * tan(π/6) + 3/tan(π/6) * sec²(π/4) * -π/4 = 0 
changing the equation, will give us:
dx/dt = [3/tan(π/6) * sec²(π/6) * π/4} / tan(π/6) ≈ 12.83 km/min 
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Striking a match stick on the matchbox involves the reaction of potassium chlorate and red phosphorus with the following equatio
yarga [219]

Answer:

m(P4) =  46.175 (grams)

m (KClO3) = 149 (grams)


Explanation:

1) n(P4) = n(P4O10);

m(P4)/M(P4) = m(P4O10)/M(P4O10);

m(P4) = M(P4)*m(P4O10)/M(P4O10)
          = 123.90*105.8/283.89
          = 46.175 (grams)

2) Analogously, 10n(P4O10) = 3n(KClO3)

m (KClO3) = 10M(KClO3)*m(P4O10)/3M(P4O10)
                = 10*122.55*105.8/283.89/3
                = 149 (grams).

6 0
2 years ago
What is the current widely accepted theory about global climate change and what are some predictions associated with it?
Travka [436]
<span>The theory concerning global climate change is that carbon and oxygen are combining to form co2 causing global climate change. Predictions are that they will be positive and negative effects, positive effects are they produce more crops and cold related deaths. Some negatives are damage to crops, rising of sea level, spread of disease and other things.</span>
6 0
3 years ago
Coulomb's law is expressed mathematically as
nataly862011 [7]
Force between two charges  = 

     ( 1/4πε₀ ) · (Charge #1) · (Charge #2) / (Distance between them)²

  in the direction away from each other.

In other words, if the force is positive, the charges are repelling.
If the force is negative, the charges are attracting.
4 0
3 years ago
An ac generator provides emf to a resistive load in a remote factory over a two-cable transmission line. At the factory a step-
Nataliya [291]

Answer:

a) 1.875 volts

b) 5.86 W

Explanation:

Given data:

transmission line resistance = 0.30/cable

power of the generator = 250 kW

if Vt = 80 kV

<u>a) Determine the decrease V along the transmission line </u>

Rms current in cable = P / Vt = 250 / 80 = 3.125 amps

hence the rms voltage drop ( Δrmsvoltage )

Δrmsvoltage = Irms* R  = 3.125 * 2 * 0.30 =<em> 1.875 volts </em>

<u>b) Determine the rate Pd at which energy is dissipated in line as thermal energy </u>

Pd = I^2rms*R

    =  3.125^2 * 2* 0.30  = <em>5.86 W</em>

3 0
3 years ago
We know that charged objects with the same sign repel each other and objects charged with opposite signs attract. What happens w
anygoal [31]

A force will be exerted on a conductor and the conductor remains uncharged.

<u>Explanation:</u>

  • When a charged particle is brought close to associate dead conducting object, a force is occurring on the conducting object to maneuver the lepton to the alternative of the conductor.
  • There will be a separation of charge on the conducting object and also the charge is neutral. This is often thanks to the presence of charged insulating object close to it. Thus the conducting object is dead.
  • When we brought concerning the insulating object, there'll be a force of attraction between the dead conducting objects and also the insulating object. Thus, there's a force occurring on the conducting object.
5 0
4 years ago
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