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Musya8 [376]
2 years ago
9

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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BabaBlast [244]

Y₀ = initial position of the balloon at the top of the building = 44 m

Y = final position of the balloon at halfway down the building = 44/2 = 22 m

a = acceleration of the balloon = - 9.8 m/s²

v₀ = initial velocity of the balloon = 0 m/s

v = final velocity of the balloon = ?

using the kinematics equation

v² = v₀² + 2 a (Y - Y₀)

inserting the values

v² = 0² + 2 (- 9.8) (22 - 44)

v = 20.78 m/s

4 0
4 years ago
What are the strengths and weaknesses of the four methods of waste management?<br>​
Nitella [24]

Answer & Explanation: Waste management are all activities and actions required to manage waste from its inception to its final disposal. There are several methods of managing waste with its strengths and weaknesses. The strengths include;

* It creates employment

* It keeps the environment clean

* The practice is highly lucrative

* It saves the earth and conserves energy

The weaknesses of the methods of waste management includes;

* The sites are often dangerous

* The process is mostly

* There is a need for global buy-in

* The resultant product had a short life

4 0
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]

Answer: Only 25% of the intensity of a polarized light wave passes through a polarizing filter. Then the angle between the electric field and the axis of the filter will be 60 degrees.

Explanation: To find the answer of the problem given, we have to know about the Malu's law of polarization.

<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

#SPJ4

4 0
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:

 v₂ = - 0.776 m / s

Explanation:

We can solve the exercise with the moment. The system is formed by the astronaut plus the oxygen backpack, in this system the forces are internal and the moment is conserved.

Initial moment, before throwing the tank

    p₀ = 0

Final after throwing the tanks

    pf = m₁ v₁ + m₂ v₂

Where m₁ is the mass of the tanks (m₁ = 3.0 kg) and velocity (v₁ = 15 m / s), m₂ is the astronaut's remaining mass, its total mass minus the mass it throws

    m₂ = 61 –m₁

    m₂ = 61 -3

    m₂ = 58 kg

    p₀ = pf

     0 = m₁  v₁ + m₂ v₂

    v₂ = - v₁ m₁ / m₂

    v₂ = -15 3/58

    v₂ = - 0.776 m / s

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

8 0
3 years ago
A milkshake has viscosity of 0.60Pa⋅s. To drink this shake through a straw of diameter 0.56 cm and length 22 cm, you need to red
timama [110]

Answer:

The pressure difference is <em>2.01X10^{4} Pa.</em>

Explanation:

To calculate the pressure difference, we use the fluid-kinetic equation:

<em>Δp = (8μLQ)/(πR⁴)</em>

Step 1: Convert the units of the given terms to SI units:

Diameter = 0.56 cm X (\frac{1 m}{100 cm} = 5.6X10^{-3} m

∴ Radius, R = 5.6X10^{-3} /2=2.8X10^{-3} m

Length, L = 22 cm X (\frac{1 m}{100 cm} = 0.22 m

Volumetric flow rate, Q = 440X10^{-3} L ÷ 2.0 minutes = 220X10^{-3} \frac{L}{min}

220X10^{-3} \frac{L}{min} X \frac{1m^{3} }{1000L} X \frac{1 min}{60 s} = 3.67X10^{-6} \frac{m^{3} }{s}

Step 2: Input the terms into the fluid-kinetic equation:

<em>Δp = (8 X 0.60 X 0.22 X 3.67X10^{-6}) / (3.142 X ((2.8X10^{-3} )^{4})</em>

<em>Δp = 20067.43 Pa = 2.01X10^{4} Pa.</em>

N.B: The pressure difference is lower than the atmospheric pressure (101300 Pa), which means you can drink the milkshake through the straw.

3 0
3 years ago
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