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dsp73
3 years ago
10

A uniform solid sphere of radius r = 0.510 m and mass m = 15.5 kg turns counterclockwise about a vertical axis through its cente

r (when viewed from above), at an angular speed of 3.20 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg · m2/s.)
Physics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

5.160384 kg*m²/s

Explanation:

The vector angular momentum P can be found using the following expression:

P = I * w

I refers to the inertia, that for a sphere is found using the expression:

I = \frac{2}{5} * m * r² = \frac{2}{5} * 15.5kg * (0.510m)² = 1.61262 kg*m².

The angular velocity w is given by the problem, and has a value of 3.2 rad/s.

Replacing the data we get:

P = 1.61262 kg*m² * 3.2 rad/s = 5.160384 kg*m²/s

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The mean time between collisions for electrons in room temperature copper is 2.5 x 10-14 s. What is the electron current in a 2
Darya [45]

Answer:

1.87 A

Explanation:

τ = mean time between collisions for electrons = 2.5 x 10⁻¹⁴ s

d = diameter of copper wire = 2 mm = 2 x 10⁻³ m

Area of cross-section of copper wire is given as

A = (0.25) πd²

A = (0.25) (3.14) (2 x 10⁻³)²

A = 3.14 x 10⁻⁶ m²

E = magnitude of electric field = 0.01 V/m

e = magnitude of charge on electron = 1.6 x 10⁻¹⁹ C

m = mass of electron = 9.1 x 10⁻³¹ kg

n = number density of free electrons in copper = 8.47 x 10²² cm⁻³ = 8.47 x 10²⁸ m⁻³

i = magnitude of current

magnitude of current is given as

i = \frac{Ane^{2}\tau E}{m}

i = \frac{(3.14\times 10^{-6})(8.47\times 10^{28})(1.6\times 10^{-19})^{2}(2.5\times 10^{-14}) (0.01)}{(9.1\times 10^{-31})}

i  = 1.87 A

4 0
3 years ago
If its wavelength were doubled, its energy would be If its wavelength were doubled, its energy would be 4E. 2E. 12E. 14E.
ANEK [815]

The wavelength was doubled, and its energy will be increased by 4 times.

looking at the formula

energy E = MC^2

also, c = \lambda \times \nu

hence it is clear from above that energy is directly proportional to the square of the wavelength.

hence, The wavelength was doubled, and its energy will be increased by 4 times.

<h3>What is Wavelength?</h3>
  • The distance over which a periodic wave's shape repeats is known as the wavelength in physics.
  • It is a property of both traveling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings.
  • The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda is frequently used to represent wavelength.
  • The term wavelength is occasionally used to describe modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.

To learn more about wavelength with the given link

brainly.com/question/13533093

#SPJ4

5 0
2 years ago
What is the charge of copper in Cu3P?
Lostsunrise [7]
It's neutral as Cu is +1 and P is -3

<span>I hope this helps!</span>
3 0
3 years ago
A body of mass 0.1kg tied by a string is rotating a vertical circle with a speed of 10 m/s of radius a 1 m . what is the tension
allochka39001 [22]

Answer:

The tension experienced in the string at the highest point is approximately 9.019 Newtons

Explanation:

The mass of the body tied to the string, m = 0.1 kg

The path of motion of the mass = Vertical circular motion

The speed of rotation of the stone, v = 10 m/s

The radius of the circular motion path, r = 1 m

The required information = The tension at the highest point, T

At the highest point, the tension, 'T', comprises of the centrifugal force, 'F', acting upwards in the string and the weight, 'W' of the body acting downwards

∴ T = F - W

The \ centrifugal \  force, \ F = \dfrac{m \times v^2}{r}

Weight, W = m × g

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

The centrifugal force, F = 0.1 kg × (10 m/s)²/(1 m) = 10 N

The weight of the mass tied to the string, W ≈ 0.1 kg × 9.81 m/s² = 0.981 N

From which we have;

T = 10 N - 0.981 N = 9.019 N

The tension experienced in the string at the highest point ≈ 9.019 Newtons

8 0
3 years ago
The power of lens is measured as reciprocal of focal length.Why?
Leni [432]
Power of a lens is measured by f/D ratio where f is the focal length and D is the diameter of the lens (or mirror). The ratio gives you the power of an optical device or the light gathering power. Please remember a lens focuses the light. Imagine it as a light funnel. A lens works similar to a funnel. It bends the light rays and bring them to a concentrated spot or the focus, just like a funnel that gathers a liquid and bring it out through a narrow spout. Bigger the diameter of the funnel more liquid it can handle. Same way larger diameter of the lens more light it can bring to focal point. That is how you get f/D ratio.
I hope this makes it somewhat clear?
4 0
3 years ago
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