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Zielflug [23.3K]
3 years ago
8

A wire must be replaced in a circuit by a new wire of the same material but nine times longer. If the new wire's resistance is t

he same as the original wire's, what is the diameter of the new wire?
O the same as the original diameter
O one half the original diameter
O one third the original diameter
O three times the original diameter
O nine times the original diameter
Physics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

three times the original diameter

Explanation:

From the wire's resistance formula, we can calculate the relation between the diameter of the wire and its length:

R=\rho\frac{l}{\pi \frac{d^2}{4}}\\d=\sqrt{\rho \frac{4 l}{\pi R}}\\

Here, d is the wire's diameter, \rho is the electrical resistivity of the material and R is the resistance of the wire. We have l'=9l

d'=\sqrt{\rho \frac{4 l'}{\pi R}}\\d'=\sqrt{\rho \frac{4 (9l)}{\pi R}}\\d'=3\sqrt{\rho \frac{4 l}{\pi R}}\\d'=3d

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The speed of sound in air is around 345 m/s. A tuning fork vibrates at 610 Hz above the open end of the sound resonance tube. Wh
ivolga24 [154]

Answer:

\lambda=56.5cm

Explanation:

Wavelength is calculated as:

\lambda=\frac{V}{f}

Replacing the given values:

\lambda=\frac{345}{610}

\lambda=0.565m

Converting the result into cm:

\lambda=56.5cm

6 0
3 years ago
assuming that there are no outside forces, what will happen if two neutral atoms are placed 1 M apart in a vacuum. a)the atoms w
timurjin [86]
D the atoms will move tword each other hope this helps
7 0
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A weather balloon is inflated to a volume of 29.1 L at a pressure of 733 mmHg and a temperature of 24.7 ∘C. The balloon rises in
goblinko [34]

Answer:

volume balloon  5.06 10⁻² m³

Explanation:

The balloon is inflated with air, which in the first instance behaves like an ideal gas, which has as an equation

    PV = n R T

Where R is the ideal gas constant that is worth 8.314 J / mol K.

Let's use the initial data to calculate the number of moles of gas in the balloon that remains constant, but first we reduce all quantities to the SI system

    V1 = 29.1 L (1 m2 / 1000 L) = 29.1 10⁻³ m³

    P1 = 733 mmHg (1 105 Pa / 760 mmHg) = 0.964 10⁵ Pa

    T1 = 24.7 + 273.15 = 297.85K

    P2 = 365 mmHg (1 105 Pa / 760 mmHg) = 0.480 10⁵ Pa

    T2 = -14.5 +273.15 = 258.65K

Let's clear and calculate the number of moles

    n = P V / R T

    n = P1 V1 / R T1

    n = 0.964 10 5 29.1 10⁻³ / (8.314 297.85)

    n = 1.13 moles

With the data of the second part we clear the volume and calculate

   V = n R T / P

   V2 = n R T2 / P2

   V2 = 1.13 8.314 258.65 /0.480 10⁵

   V2 = 5.062 10⁻² m³

5 0
3 years ago
Read 2 more answers
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Mila [183]

Answer:

The angular acceleration is 11.66 rad/s²

Explanation:

Step 1: Given data

Three forces are applied to a solid cylinder of mass 12 kg

F1 = 15 N

F2 = 24 N

F3 = 19 N

R2 = 0.22m

R3 = 0.10m

Step 2: Find the magnitude of the angular acceleration

I = ½mr² = ½ * 12kg * (0.22m)² = 0.29 kg*m²

torque τ = I*α

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This means

I = ½mr² = 0.29 kg*m²

τ = I*α  =  3.38 N*m

OR

0.29 kg*m² * α = 3.38 N*m

α = 11.655 rad/s²  ≈11.66 rad/s²

The angular acceleration is 11.66 rad/s²

6 0
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jek_recluse [69]
Radioactive decay is given by:
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We know that N/No has to be 0.05
λ = 0.15
0.05 = e^(-0.15t)
t = ln(0.05)/(-0.15)
t = 19.97 days
6 0
3 years ago
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