Why is electrical wiring usually made from copper ?

A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an incline to a vertical height o

inysia [295]

Answer:

The hollow cylinder rolled up the inclined plane by 1.91 m

Explanation:

From the principle of conservation of mechanical energy, total kinetic energy = total potential energy

$M.E_T = \frac{1}{2}mv^2 + \frac{1}{2} I \omega^2 + mgh$

The total energy at the bottom of the inclined plane = total energy at the top of the inclined plane.

$\frac{1}{2}mv_i^2 + \frac{1}{2} I \omega_i^2 + mg(0) = \frac{1}{2}mv_f^2 + \frac{1}{2} I \omega_f^2 + mgh$

moment of inertia, I, of a hollow cylinder = ¹/₂mr²

substitute for I in the equation above;

$\frac{1}{2}mv_i^2 + \frac{1}{2} (\frac{1}{2}mr^2 \omega_i^2) = \frac{1}{2}mv_f^2 + \frac{1}{2} (\frac{1}{2}mr^2 \omega_f^2) + mgh\\\\ but \ v = r \omega\\\\\frac{1}{2}mv_i^2 + \frac{1}{2} (\frac{1}{2}m v_i^2 ) = \frac{1}{2}mv_f^2 + \frac{1}{2} (\frac{1}{2}m v_f^2) + mgh\\\\\frac{1}{2}mv_i^2 +\frac{1}{4}mv_i^2 = \frac{1}{2}mv_f^2 +\frac{1}{4}mv_f^2 +mgh\\\\\frac{3}{4}mv_i^2 = \frac{3}{4}mv_f^2 +mgh\\\\mgh = \frac{3}{4}mv_i^2 - \frac{3}{4}mv_f^2\\\\gh = \frac{3}{4}v_i^2 - \frac{3}{4}v_f^2\\\\$

$h = \frac{3}{4g}(v_1^2 -v_f^2)$

given;

v₁ = 5.0 m/s

vf = 0

g = 9.8 m/s²

$h = \frac{3}{4g}(v_1^2 -v_f^2) =\frac{3}{4*9.8}(5^2 -0) = 1.91 \ m$

Therefore, the hollow cylinder rolled up the inclined plane by 1.91 m

5 0

3 years ago

How fast, in rpm, would a 5.8 kg, 22-cm-diameter bowling ball have to spin to have an angular momentum of 0.21 kgm2/s

-Dominant- [34]

Answer:

91 rpm

Explanation:

8 0

3 years ago

A ray in glass arrives at the glass-water interface at an angle of 48° with the normal. The refracted ray, in water, makes a 72°

dimaraw [331]

Answer:

50.4°

Explanation:

Snell's law states:

n₁ sin θ₁ = n₂ sin θ₂

where n is the index of refraction and θ is the angle of incidence (relative to the normal).

When θ₁ = 48°:

n sin 48° = 1.33 sin 72°

n = 1.702

When θ₁ = 37°:

1.702 sin 37° = 1.33 sin θ

θ = 50.4°

3 0

3 years ago

Explain why different materials have different thresholds to change states matter

Degger [83]

Because different materials have different molecular organizations.

6 0

3 years ago

Read 2 more answers

What impact has the use of optical fibre cables had on the way we receive and communicate information? Discuss both positive AND

frozen [14]

Due to rising demand for higher bandwidth and faster speed connections, fiber optic transmission is becoming more and more common in the developing world. Optical fiber has had a great impact on the way we receive and transmit signals. They have largely replaced copper wire communications in core networks in the developed world, because of its advantages over electrical transmission. But they brought some difficulties as well.

Following are the advantages and disadvantages of optical fiber:

Advantages

They provide extremely High Bandwidth.
Optical fiber is capable of low power loss at long distances.
Optical fiber is highly resistant to electromagnetic disturbances. They are virtually error free.
The data is transferred through light that is why there is no security risk of data being detected.
Optical fiber has lesser weight and size as compared to other cables.

Disadvantages

They are made of glass that is why they are very fragile and they have to be handled carefully.
They are difficult to install. If you bend them too much, they will break. And fiber cable is highly susceptible to damage during installation or construction activities.
Extra optical components have to be added to handle dispersion of light at longer distances.
Optical fiber costs a lot more than copper cables. The installation itself is very costly.

Keywords: fiber optics, bandwidth, transmission, impact, advantages, disadvantages

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5 0

4 years ago