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2 years ago

A solid cylinder with diameter 20cm has an angular velocity of 10m/s and angular momentum of 2kgm^2/s. What is its mass?

Physics

1 answer:

Sati [7]2 years ago

4 0

Hi there!

Recall the equation for angular momentum:
$L = I\omega$

L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)

We know that the Moment of Inertia of a solid cylinder is equivalent to:
$I = \frac{1}{2}MR^2$

M = mass (kg)
R = radius (m)

Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.

$r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m$

$I = \frac{1}{2}M(0.1^2) = 0.005 M$

We can rearrange the equation of angular momentum to solve for mass.

$L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}$

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inserting the values

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4 years ago

Only 25% of the intensity of a polarized light wave passes through a polarizing filter. What is the angle between the electric f

Firdavs [7]

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<h3>What is Malu's law of polarization?</h3>

This law states that, when a beam of completely polarized light is passed through an analyzer, then then intensity I of the transmitted light varies directly as the square of the angle $\alpha$ between the transmission direction of the polarizer and the analyzer.
The expression for this law will be,

$I=I_0cos\alpha$

Where, I₀ is the maximum intensity of the transmitted light through the polarizer.

<h3>How to solve the problem?</h3>

From the question, it is clear that, the 25% of the intensity of a polarized light wave passes through the filter.

$\frac{I}{I_0} =0.25\\$

Thus, the angle between electric field and the axis of the filter is,

$cos^2\alpha =0.25\\cos\alpha =\sqrt{0.25} =0.5\\\alpha =cos^-1(0.5)=60 degrees$

Thus, we can conclude that, the angle between the electric field and the axis of the filter will be 60 degrees.

Learn more about the Malus law of polarization here:

brainly.com/question/28020002

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2 years ago

A 61kg astronaut (including spacesuit and equipment), is floating at rest a distance of 10 m from the spaceship when she runs ou

lidiya [134]

Answer:

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The negative sign means that the astronaut goes in the opposite direction from where the tank is thrown

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