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rusak2 [61]
3 years ago
9

If one has twice the length of the other, what is the ratio of the diameter of the longer wire to the diameter of the shorter wi

re
Physics
1 answer:
hram777 [196]3 years ago
6 0

Explanation:

The resistance of a wire is given by the formula as follows :

R=\rho \dfrac{l}{A}

l is length of wire

A is area of cross section, A=\pi r^2

Since, r=d/2, d = diameter

A=\pi \dfrac{d^2}{4}

It is given in the problem that the resistance of two aluminum wires is same.

R_1=R_2\\\\\rho\dfrac{L_1}{\pi d_1^2/4}=\rho\dfrac{L_2}{\pi d_2^2/4}\\\\\dfrac{L_1}{L_2}=\dfrac{d_1^2}{d_2^2}

We have, L₁=2L₂

So,

\dfrac{2L_2}{L_2}=\dfrac{d_1^2}{d_2^2}\\\\\dfrac{d_1^2}{d_2^2}=2\\\\\dfrac{d_1}{d_2}=\sqrt{2}

So, the ratio of the diameter of the longer wire to the diameter of the shorter wire is \sqrt2:1

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Answer:

1.59 seconds

12.3 meters

but if you are wise you will read the entire answer.

Explanation:

This is a good question -- if not a bit unusual. You should try and understand the details. It will come in handy.

Time

<u>Given</u>

a = 0 This is the critical point. There is no horizontal acceleration.

d = 20 m

v = 12.6 m/s

<u>Formula</u>

d = vi * t + 1/2at^2

<u>Solution</u>

Since the acceleration is 0, the formula reduces to

d = vi * t

20 = 12.6 * t

t = 20 / 12.6

t = 1.59 seconds.

It takes 1.59 seconds to hit the ground

Height of the building

<u>Givens</u>

t = 1.59 sec

vi = 0     Another critical point. The beginning speed vertically is 0

a = 9.8 m/s^2   The acceleration is vertical.

<u>Formula</u>

d = vi*t + 1/2 a t^2

<u>Solution</u>

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d = 1/2 * 9.8 * 1.59^2

d = 12.3 meters.

The two vi's are not to be confused. The horizontal vi is a number other other 0 (in this case 12.6 m/s horizontally)

The other vi is a vertical speed. It is 0.

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Explanation:

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Voltage of heater (v) = 110-volt

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resistance of the heater (r) = ?

Since voltage, current and resistance are involved, apply the formula for ohms law.

Voltage = current x resistance

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A 2400W electric toaster is connected to a standard 120 V wall outlet. A family
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Answer:

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         total_cost = $ 2.03

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