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trapecia [35]
3 years ago
13

The pilot of an airplane notes that the compass indicates heading west. The airplane's speed relative to the air is 100 km/h. Th

e air is moving in a wind at 25.0 km/h toward the north. Find the velocity, magnitude and direction of the airplane relative to the ground.
Physics
1 answer:
irinina [24]3 years ago
6 0
The airplane's speed relative to the ground is

                                     √ (100² + 25²)

                                 =  √ (10,000 + 625)

                                 =  √ 10,625

                                 =      103.08  km/hr .

The angle of its velocity north of west is
the angle whose tangent is  (25/100)

                         arctan(25/100) = 14° north of west .

                                             (bearing = 284°)
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A certain copper wire has a resistance of 13.0 Ω . At some point along its length the wire was cut so that the resistance of one
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Let r be the resistance of short piece of copper wire.

Resistance of copper wire=R=13\Omega

Resistance is directly proportional to length.

If a wire has greater resistance then,the wire will be greater in length.

Therefore,resistance of long piece of wire=7r

Total resistance of copper  wire=Sum of resistance of two piece of wires

r+7r=13

8r=13

r=\frac{13}{8}ohm

Resistance of long piece of wire=7\times\frac{13}{8}=\frac{91}{8}\Omega

Resistance of short piece of wire =\frac{13}{8}\Omega

Resistivity of wire and cross section area of wire remains same .

Let L be the total  length  of wire and L' be the length of short  piece of wire.

We know that

R=\frac{\rho L}{A}=\frac{\rho}{A}L=KL

\frac{R}{L}=K

Where K=\frac{\rho}{A}=Constant

Using the formula

\frac{13}{L}=\frac{\frac{13}{8}}{L'}

\frac{L'}{L}=\frac{13}{8}\times \frac{1}{13}=\frac{1}{8}

L'=\frac{L}{8}

Length of short piece of wire=L'=\frac{L}{8}

Length of long piece of  wire=L-L'=L-\frac{L}{8}=\frac{8L-L}{8}=\frac{7}{8}L

% of length of short piece of   wire=\frac{\frac{L}{8}}{L}\times 100=12.5%%

The resistance of the short piece=\frac{13}{8}\Omega

The resistance of the long piece=\frac{91}{8}\Omega

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4 years ago
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