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dolphi86 [110]
3 years ago
9

Find the x-component of this

Physics
1 answer:
Sholpan [36]3 years ago
5 0

Answer: 74.8m

Explanation:

We have the vector defined by:

r = 101m

θ = 42.2°

When we want to write this as rectangular components, we have that:

x = r*cos(θ)

y = t*sin(θ)

this is because we can construct a triangle rectangle, where the module of the vector is the hypotenuse, the x component is the adjacent cathetus and the y component is the opposite cathetus.

Then, here we have that the x component is

x = 101m*cos(42.2°) = 74.8m

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A high voltage transmission line with a resistance of 0.51 Ω/km carries a current of 1099 A. The line is at a potential of 1300
Illusion [34]
<h2>Answer:</h2>

\boxed{P=96.09MW}

<h2>Explanation:</h2>

First of all, we need to figure out what is the resistance in that line. In this problem, the total resistance is not given directly, but we can calculate it because we know it in terms of 0.51 Ω/km and since the distance from the power station to the city is 156km, then:

R_{line}=0.51 \frac{\Omega}{km}.156km \\ \\ R_{line}=79.56\Omega

So we can calculate the power loss as:

P=I^2R \\ \\ Where: \\ \\I=1099A \\ \\ P=(1099)^2(79.56) \\ \\ P=96092647.56W \\ \\ Remember \ that \ 1MW=10^6W \ So: \\ \\ P=96092647.56W(\frac{1M}{10^6}) \\ \\ \boxed{P=96.09MW}

Finally, the power loss due to resistance in the line is 96.09MW

5 0
4 years ago
If 170 degrees F air feels warm and comfortable to us, why does swimming in 70 degree F water feel cold ?
Advocard [28]

Your body loses heat to the water faster than it loses heat to the air. Water has a higher heat capacity, so it is better at extracting heat than air is.

3 0
3 years ago
Alan hits a hockey pick of mass 0.3 kg across a hockey rink with a velocity of 18 m/s to the east.
Talja [164]

PART a)

Momentum is defined as product of mass and velocity

so here initial momentum is

P = mv

given that

m = 0.3 kg

v = 18 m/s

P = 0.3(18) = 5.4 kg m/s

towards East

Part b)

Since puck was initially at rest so here initial momentum must be ZERO

so here to find the force we can use

F = \frac{\Delta P}{\Delta t}

so here we have

time interval = 0.25 s

now from above equation

F = \frac{5.4 - 0}{0.25}

F = 21.6 N

Part c)

Due to friction the puck lose its speed by 5 m/s

final speed = 18 - 5 = 13 m/s

mass = 0.3 kg

final momentum = (0.3)(13) = 3.9 kg m/s

now the impulse due to friction force is given as

Impulse = P_f - P_i

impulse = 3.9 - 5.4 = -1.5 kg m/s

Part d)

initial momentum of block will be ZERO as it is placed at rest

Initial momentum of the puck is given as

P = mv = (0.3)(13) = 3.9 kg m/s

so total momentum before collision is given as

P = 3.9 + 0 = 3.9 kg m/s

Part e)

since the system is isolated and there is no external force on it

So here momentum will remain conserved

so here we have

P_i = P_f

3.9 = (m_1 + m_2) v

3.9 = (0.3 + 1.2)v

v = 2.6 m/s

so final combined speed will be 2.6 m/s

8 0
3 years ago
Read 2 more answers
The characteristics that follow are characteristics of two of Galileo's surviving double-convex lenses. The numbers given are ma
forsale [732]

Answer:

Explanation:

L 1: front radius 950 mm, rear radius 2700 mm, refractive index 1.528;

We shall use lens maker's formula , that is

1/f = (μ-1) ( 1/R₁ - 1/R₂) , μ is refractive index of the lens , R₁ and R₂ are  radius of curvature of front and rear curved surface.

1/f₁ = (1.528-1)( 1/950 + 1/2700)

f₁ = 1331 mm

L2: front radius 535 mm, rear radius 500 mm, refractive index 1.550.

1/f₂ = (1.550-1)( 1/535 + 1/500)

f₂ = 470 mm

largest angular magnification possible

= f₁ /f₂

= 1331 / 470

= 2.83 ( approx )

Length between two lenses

=1331 +470

= 1801  mm

=  1.8 m Ans

6 0
3 years ago
Name one non-metal that is a good conductor and why??​
Vesna [10]

Answer:

silver

Explanation:

It is because it contains a higher number of movable atoms ( free electrons)

6 0
2 years ago
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