1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
3 years ago
15

A rhinoceros beetle rides the rim of a disk rotating like a merry-go-round counterclockwise.

Physics
1 answer:
Pie3 years ago
8 0

Answer:

a) The angular momentum remains constant because the system is isolated

b)  if the beetle walks

- In the direction of rotation of the disc, the angular velocity of the disc decreases.

-   If the beetle goes in the opposite direction] to the disk the angular velocity increases

Explanation:

The angular momentum is

           L = I w

For an isolated system the angular momentum must be preserved.

Let us define the system as formed by the beetle plus the disk, in this case when the beetle walks, the forces are an internal force (action and reaction), therefore the angular momentum is conserved. Let's write in two moments

Initial. Before the beetle movement

           L₀ = I w₀

Final. When the beetle is moving

          L_{f} = I w + I₂ w₂

The moment is preserved

           L₀ =  L_{f}

           I w₀ = I w + I₂ w₂

 

We cleared the final angular speed of the disk

          w = w₀ - w₂ I₂ / I

In general, the moment of inertia of the beetle is less than the moment of inertia of the disc and its angular velocity is also small.

Let's examine the questions.

a) The angular momentum remains constant because the system is isolated

b) The angular velocity of the system changes according to the previous equation, if the beetle walks

- In the direction of rotation of the disc, the angular velocity of the disc decreases.

-   If the beetle goes in the opposite direction] to the disk the angular velocity increases

You might be interested in
Why can't 41 be represented in a binary table?
Airida [17]

Answer:

I think it is but I don't know for sure

Explanation:

41 101001

41 is 101001 on the binary table i think

8 0
3 years ago
In your own words, explain what conservation of energy means. Also, give an example of the conservation of energy using somethin
Genrish500 [490]
Energy can not be created or destroyed but can change from one form to another.

example: as a roller coaster cart loses height the more speed it gains, the potential energy is transferred into kenetic energy
8 0
3 years ago
In which of the following situations would it NOT be wise to estimate?
ipn [44]
Medicine to a patient. That should be calculated based on weight, strength/dosage and possibly other factors
5 0
3 years ago
Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R-0.520 m and ma
Lesechka [4]

Answer:

0.54454

104.00902 N

Explanation:

m = Mass of wheel = 100 kg

r = Radius = 0.52 m

t = Time taken = 6 seconds

\omega_f = Final angular velocity

\omega_i = Initial angular velocity

\alpha = Angular acceleration

Mass of inertia is given by

I=\dfrac{mr^2}{2}\\\Rightarrow I=\dfrac{100\times 0.52^2}{2}\\\Rightarrow I=13.52\ kgm^2

Angular acceleration is given by

\alpha=\dfrac{\tau}{I}\\\Rightarrow \alpha=\dfrac{\mu fr}{I}\\\Rightarrow \alpha=\dfrac{\mu 50\times 0.52}{13.52}

Equation of rotational motion

\omega_f=\omega_i+\alpha t\\\Rightarrow \omega_f=\omega_i+\dfrac{\mu (-50)\times 0.52}{13.52}t\\\Rightarrow 0=60\times \dfrac{2\pi}{60}+\dfrac{\mu (-50)\times 0.52}{13.52}\times 6\\\Rightarrow 0=6.28318-11.53846\mu\\\Rightarrow \mu=\dfrac{6.28318}{11.53846}\\\Rightarrow \mu=0.54454

The coefficient of friction is 0.54454

At r = 0.25 m

\omega_f=\omega_i+\dfrac{0.54454 (-50)\times 0.52}{13.52}6\\\Rightarrow 0=60\times \dfrac{2\pi}{60}+\dfrac{0.54454 f\times 0.25}{13.52}6\\\Rightarrow 2\pi=0.06041f\\\Rightarrow f=\dfrac{2\pi}{0.06041}\\\Rightarrow f=104.00902\ N

The force needed to stop the wheel is 104.00902 N

5 0
3 years ago
Part A What will be the equilibrium temperature when a 227 g block of copper at 283 °C is placed in a 155 g aluminum calorimeter
stellarik [79]

Answer:

T = 20.84°C

Explanation:

From the law of conservation of energy:

Heat Lost by Copper Block = Heat Gained by Aluminum Calorimeter + Heat Gained by Water

m_cC_c\Delta T_c = m_wC_w\Delta T_w + m_aC_a\Delta T_a

where,

m_c = mass of copper = 227 g

m_w = mass of water = 844 g

m_a = mass of aluminum = 155 g

C_c = specific heat capacity of calorimeter = 385 J/kg.°C

C_w = specific heat capacity of water = 4200 J/kg.°C

C_a = specific heat capacity of aluminum = 890 J/kg.°C

\Delta T_c = change in temperature of copper = 283°C - T

\Delta T_w = change in temperature of water = T - 14.6°C

\Delta T_a = change in temperature of aluminum = T - 14.6°C

T = equilibrium temperature = ?

Therefore,

(227\ g)(385\ J/kg.^oC)(283^oC-T)=(844\ g)(4200\ J/kg.^oC)(T-14.6^oC)+(155\ g)(890\ J/kg.^oC)(T-14.6^oC)\\\\24732785\ J - (87395\ J/^oC) T = (3544800\ J/^oC) T - 51754080\ J+ (137950\ J/^oC) T-2014070\ J\\\\24732785\ J +51754080\ J+2014070\ J = (3544800\ J/^oC) T+(137950\ J/^oC+(87395\ J/^oC) T\\\\78560935\ J = (3770145\ J/^oC) T\\\\T = \frac{78560935\ J}{3770145\ J/^oC}

<u>T = 20.84°C</u>

8 0
3 years ago
Other questions:
  • How does earth's magnetic field behave through long periods of geologic time?
    9·2 answers
  • Find the x-components of this vector: 92.5 m, 32.0 degrees. Remember, angles are measured from the +x axis.
    7·1 answer
  • What is the net displacement of the particle between 0 seconds and 80 seconds?
    11·1 answer
  • Translucent definition: __________ is allowed to pass through translucent objects.
    7·2 answers
  • What is calculated by speed of light/wavelength?
    15·1 answer
  • Heat is transferred in three ways from one place to another. The mechanism of heat transfer whereby atoms or molecules of matter
    12·1 answer
  • Which of the following is not true about a vertical component? The vertical component of a projectile changes due to gravity. Th
    8·2 answers
  • A train travels 60 miles per hour for 3 hours and then 45 miles per hour for 2 hours. What is the train’s average speed in miles
    12·2 answers
  • Which term describes the upward force that acts on an object submerged in a fluid?
    9·2 answers
  • What determines the strength of a base?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!