A 97.3 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.67 rad/s . A monkey drops a 9.67 kg bunch of bananas vertically onto the platform. They hit the platform at 45 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.9 kg , drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.73 m

Answers

Answer 1

Answer:

w = 1.14 rad / s

Explanation:

This is an angular momentum exercise. Let's define a system formed by the three bodies, the platform, the bananas and the monkey, in such a way that the torques during the collision have been internal and the angular momentum is preserved.

Initial instant. The platform alone

        L₀ = I w₀

Final moment. When the bananas are on the shelf

we approximate the bananas as a point load and the distance is indicated

x = 0.45m

        L_f = (m x² + I ) w₁

angular momentum is conserved

         L₀ = L_f

         I w₀ = (m x² + I) w₁

         w₁ = [tex]\frac{I}{m x^2 + I} \ w_o[/tex]

Let's repeat for the platform with the bananas and the monkey is the one that falls for x₂ = 1.73 m

initial instant. The platform and bananas alone

        L₀ = I₁ w₁

         I₁ = (m x² + I)

           

final instant. After the crash

        L_f = I w

        L_f = (I₁ + M x₂²) w

the moment is preserved

        L₀ = L_f

        (m x² + I) w₁ = ((m x² + I) + M x₂²) w

         (m x² + I) w₁ = (I + m x² + M x₂²) w

we substitute

         w =  [tex]\frac{m x^2 +I}{I + m x^2 + M x_2^2} \ \frac{I}{m x^2 + I} \ w_o[/tex]

         w =  [tex]\frac{I}{I + m x^2 + M x_2^2} \ w_o[/tex]

the moment of inertia of a circular disk is

         I = ½ m_p x₂²

we substitute

         w =  [tex]\frac{ \frac{1}{2} m_p x_2^2 }{ \frac{1}{2} m_p x_2^2 + M x_2^2 + m x^2} \ \ w_o[/tex]

let's calculate

          w =[tex]\frac{ \frac{1}{2} \ 97.3 \ 1.73^2 }{ \frac{1}{2} \ 97.3 \ 1.73^2 + 21.9 \ 1.73^2 + 9.67 \ 0.45^2 } \ \ 1.67[/tex]

          w =  [tex]\frac{145.60 }{145.60 \ + 65.54 \ + 1.958} \ \ 1.67[/tex]

          w = 1.14 rad / s


Related Questions

Give a common example of Newton's first law of motion and why (include inertia in your answer)

30 pts

Plz help me ✌

Answers

if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force

Which BEST explains why rainbows only appear when there is rain and sun? a)The rain needs to dim the light for them to appear. b)The combination of light and water creates a prismatic effect. c)The sun restricts the light rays that impact with the water. d) Heavy rain and little sun produce the strongest rainbows.

Answers

Answer:

C

Explanation:

Answer:

You're answer would be B.

Explanation:

Fact: A water droplet refracts and disperses the incident sunlight, then reflect it internally and finally refract it again, when it emerges out of water droplet thus acting like a prism.

In Option B, It states: The combination of light and water creates a prismatic

Therefore, This option is true! However, I would say the combination of light and water make more of a chroma effect to water (my opinion)!

-♥ Have a nice day ♥-

PLEASE HELPPPP ❗️❗️❗️
“a car is parked uphill on a sloped street. How would you draw the force diagram to illustrate all of the forces acting on this car to keep it parked on the slope?”

Answers

Answer:

Explanation:

There are 3 main forces at work here, gravity, normal and friction. The gravity pulls the car straight down and is what keeps the car on the ground. Normal force is straight up from the points where the car is touching, so since the wheels are the only parts of the car touching the street, this is where all the normal force is. Friction force opposes any and all motion, the car wants to slide down the hill and would slide down the hill if there was no friction, so the friction force is in the opposite direction of the cars intended motion.

“Do you think that the role of culture, gender,
and/or race has changed in sclence between the times we are learning
about and today's times? If so, how? If not, explain your thoughts?"

Answers

Answer:

this is based on your opinion but mine is...

Explanation:

Do you think that the role of culture, gender,  and/or race has changed in sclence between the times we are learning  about and today's times? If so, how? If not, explain your thoughts?

Yes by how because Race’ cannot be biologically defined due to genetic variation among human individuals and populations. (A) The old concept of the “five races:” African, Asian, European, Native American, and Oceanian. According to this view, variation between the races is large, and thus, the each race is a separate category. Additionally, individual races are thought to have a relatively uniform genetic identity. (B) Actual genetic variation in humans. Human populations do roughly cluster into geographical regions. However, variation between different regions is small, thus blurring the lines between populations. Furthermore, variation within a single region is large, and there is no uniform identity.

(for astronomy class)
Scientists and astronomers have photographed asteroids with deep craters inside them. What does this reveal about asteroids?

A) The satellites in outer space are commonly targeting asteroids in an attempt to prevent them from becoming NEOs.
B) Asteroids are unable to withstand the heat that is present in our Solar System.
C) Comets typically attract to asteroids.
D) It is common for asteroids to be impacted by other objects, including other asteroids.

Answers

Answer:

d

Explanation:

astroids are not the same size so if a big astroid gets to close to a small one they will make contact or the small astroid will orbit the bigger one

Answer:

D.

Explanation:

I think don't quote me tho

please see the picture​

Answers

Answer:

t.f. are you sure that's english? it looks like not a real thing

Explanation:

how does Lightning occur

Answers

When a storm is formed, the storm clouds contain negative charges and the ground is filled with positive charges. Similar to the way magnets work the two are attracted. The the collision of the two charges produce an electrical discharge.

I hope this helped!
Lightning is an electrical dis.charge caused by imbalances between storm clouds and the ground, or within the clouds themselves. Most lightning occurs within the clouds. This heat causes surrounding air to rapidly expand and vibrate, which creates the pealing thunder we hear a short time after seeing a lightning flash.

A certain fm radio wave has a frequency of 1.31*10^8 he given that radio waves travel at 2.99*10^8 m/s what is the wavelength of this fm radio wave

Answers

Answer:

The answer is "[tex]3.92 \times 10^{16} \ m[/tex]"

Explanation:

Given:

[tex]\to v= 1.31 \times 10^8 \\\\\\to f=2.99\times 10^8 \ \frac{m}{s}\\\\[/tex]

Using formula:

[tex]\lambda=vf\\\\[/tex]

  [tex]=2.99\times 10^8 \times 1.31\times 10^8\\\\=2.99\times 1.31\times 10^{16}\\\\=3.9169 \times 10^{16} \ m[/tex]

  [tex]=3.92 \times 10^{16} \ m[/tex]

state the Newton's law of cooling​

Answers

Explanation:

Newton's law of cooling (or heating) states that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings. It is a reasonably accurate approximation in some circumstances. dTdt=−k(T−T0), where k is a positive constant.

Answer:

Q=h.A.(T(t)-Tenu)

Explanation:

The diagram shows how Earth is tilted on its axis as it revolves around the Sun. What is the season in the United States when Earth is in position C

Answers

Winter

It is winter because the Northern Hemisphere is not facing the sun.

Considera los objetos A y B con una masa de 400g cada uno y ambos a una temperatura de 25°C. Si el calor específico de A es mayor que el de B, en las mismas condiciones de calentamiento, ¿Cuál objeto requiere más tiempo para alcanzar una temperatura de 26°C?

Answers

Answer:

El objeto A tardará más tiempo para aumentar la temperatura.

Explanation:

Al estar ambos objetos bajo las mismas condiciones de calentamiento, entonces, ambos objetos reciben la misma cantidad de calor por unidad de tiempo.

Si ambas tienen la misma masa y temperatura inicial, pero el objeto A tiene un mayor calor específico, entonces este objeto tardará más tiempo para incrementar su temperatura en 1 °C.

examples for each different examples force affects​

Answers

Explanation:

Examples for effect of force - example

1) Can change the state of an object(rest to motion/ motion to rest):For example, pushing a heavy stone in order to move it. 2) May change the speed of an object if it is already moving. ... 3) May change the direction of motion of an object.


7. Explain what happens to the volume of a sphere when the radius is tripled?
ANYONE PLS ASAPPPPPPP

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of surface areas and Volumes.

When the radius is 'r', we get as,

V = 4/3*(π)(r^3)

when the radius is tripled that is '3r' , we get as,

V' = 4/3 (π)(3r)^3

V' = 27*(4/3(π)(r^3))

V' = 27 V

hence the new volume, when radius is tripled, is 27 times greater than the old sphere.

The entropy of the substance seems to decrease as this substance freezes. Why is this not contradicting the second law of thermodynamics?

Answers

Answer:

See Explanation

Explanation:

While it is true that a version of the second law of thermodynamics stated with respect to entropy states that the entropy of  a system only increases or remains the same. It never decreases!

It then appears to be a contradiction when the freezing of ice leads to a more ordered structure and a seeming decrease in entropy of the ice as water changes from liquid to solid.

This law of thermodynamics is not violated here because the entropy of the universe increases (freezing is an exothermic process). This outweighs the decrease in entropy of the system hence the change in entropy is positive and the second law of thermodynamics is not violated.

Which statement about the law of conservation of energy is true?

Energy can be destroyed, but not created.
Energy is neither created nor destroyed.
The total energy changes over time.
New energy can be created.

Answers

Answer:

Energy is neither created nor destroyed.

Explanation:

What variables must be known to determine the observed frequency of a wave?

Answers

Answer:

The frequency, 'f', of a wave is given by the speed, 'v' of the wave and the wavelength, λ, of the wave

f = v/λ

The frequency, 'f', of a wave is also given by the inverse of the period, 'T', of the wave which is the time it takes the wave to complete an oscillation or a cycle

f 1/T

Therefore, the variables to be known to determine the frequency of a wave includes either, the velocity and the wavelength of the wave or the period of oscillation (the wave cycle) of the wave

Explanation:

helppppppppppppppppppp​

Answers

Answer:

Explanation:

The answer is 75 cm

How does a catapult relate to potential and elastic energy? Explanation too and no links please!

Answers

Answer:

The catapult works when the potential energy stored in a stretched rubber band is converted to kinetic energy when it snaps back to its loose shape, moving the catapult arm—and the projectile! ... The kinetic energy of the catapult will give the projectile a force moving up and away from the catapult.

Explanation:

A stone is thrown horizontally from a 50m high cliff with an initial speed of 15 meters per second. How far will the stone have travelled from the cliff when it strikes the ground?

a. 45.92m/s
b. 47.85 m
c. 58.2 seconds
d. 35.85 m/s/s

Answers

This is a classic case of 'velocity components.'

Imagine a vector for velocity. Now, consider that this vector could be the hypotenuse of a right triangle, with two other sides going along the x and y-axis. These sides of the triangle will have values, and adding them up using the pythagorean theorem will prove that the sum of their squares equals the square of the original vector.

Well, okay, that's nice and all, you may be saying - but how do we solve the actual question?

Let's apply this thought to the question. This vector can have both an x component and y component (essentially, parts of the vector that travel along the x and y-axis).

Now, what could these components be? We know that the stone is thrown perfectly horizontally, meaning that the x-component is quite literally the velocity.

How about the y-component? Since it's thrown at a perfect horizontal, there isn't really any vertical velocity whatsoever. There's only horizontal velocity.

"Great, fantastic! So, what's the importance of figuring out the horizontal and vertical velocities?"

When a stone is in free fall, it experiences a gravitational acceleration. This acceleration from gravity, though, only affects the vertical velocity. Since gravity is vertical as well, it's essentially impossible for the horizontal velocity to be changed at all.

This means that to solve the horizontal distance, we simply need to find the time it takes for the rock to hit the ground and multiply said time by the horizontal velocity.

Since the vertical velocity is the only thing changed by gravity, we can write out an equation that can solve for the time:

∆Y = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

We know that initial vertical velocity is zero, so:

∆Y = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

∆Y = 0t + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

∆Y = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

We need to solve for t, so let's isolate the variable. Multiply both sides by 2 to get rid of the fraction:

∆Y * 2 =  [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex] * 2

2∆Y = g[tex]t^{2}[/tex]

Divide both sides by g:

(2∆Y)/g = [tex]\frac{gt^{2} }{g}[/tex]

Square root both sides:

[tex]\sqrt{(2Y)/g}[/tex] = [tex]\sqrt{t^{2} }[/tex]

t = [tex]\sqrt{(2Y)/g}[/tex]

Input our values for Y and g (Y is the height of the cliff, and g is gravitational acceleration):

t = [tex]\sqrt{(2*50)/9.80}[/tex]

Solve:

t =  [tex]\sqrt{(2*50)/9.80}[/tex]

t = 3.194 (s)

Whew! That was a lot of steps to find the time! Now that we have the time, we can find the horizontal distance the rock travels:

∆x = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

The horizontal velocity has no acceleration (gravity is vertical!), so:

∆x = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]*0*[tex]t^{2}[/tex]

∆x = [tex]v_{i}[/tex]t

The horizontal velocity is 15 m/s, and the time is 3.194:

∆x = [tex]v_{i}[/tex]t

∆x = 15 * 3.194

∆x = 47.91 (m)

Since we rounded the time, it makes sense that our final answer's a little bit off to the options. The closest one is option B, which is only 0.6m off, a tiny difference that may have come from the test maker's use of '10 m/[tex]s^{2}[/tex]' as the gravitational acceleration (while we stayed as accurate as possible with 9.80) as well as our rounding of the final time.

Option B, the stone will have travelled 47.85 meters.

If you have any questions on how I got to the answer or if you're still confused on any topic I attempted to explain, just ask in the comments and I'll try to answer it to the best of my ability! Good luck!

- breezyツ

According to the graph, how much Potassium bromide can be dissolved in 100 g of warer at 40C?

Answers

Answer:

77.8 g potassium bromide can be dissolved in 100 grams of water at 40°C.

Explanation:

In a given a line of KBr is straight.

five properties of light

Answers

Answer:

Light is electromagnetic radiation that has properties of waves. The electromagnetic spectrum can be divided into several bands based on the wavelength. As we have discussed before, visible light represents a narrow group of wavelengths between about 380 nm and 730 nm.

OR

The primary properties of visible light are intensity, propagation-direction, frequency or wavelength spectrum and polarization, while its speed in a vacuum, 299 792 458 m/s, is one of the fundamental constants of nature.

Technician A says that daytime running lights (DRLs) light the headlights, usually at reduced intensity, whenever the engine is running. Technician B says high-intensity discharge (HID) headlights are brighter and have a yellow tint. Who is right?

Answers

Answer:

technician A is right

Explanation:

Daytime running lights are auxiliary lights that allow other cars to see us better. They are not intended to illuminate the road, so their intensity is low.

Consequently technician A is right

HID lights are high intensity lights, generally bluish-white in color, yellow lights are halogen lights with lower intensity than HID lights.

Consequently, technician B is wrong

The magnetic field at point P due to a 2.0-A current flowing in a long, straight, thin wire is 8.0 μT. How far is point P from the wire?

Answers

Answer:

r = 0.05 m = 5 cm

Explanation:

Applying ampere's law to the wire, we get:

[tex]B = \frac{\mu_oI}{2\pi r}\\\\r = \frac{\mu_oI}{2\pi B}[/tex]

where,

r = distance of point P from wire = ?

μ₀ = permeability of free space = 4π x 10⁻⁷ N/A²

I = current = 2 A

B = Magnetic Field = 8 μT = 8 x 10⁻⁶ T

Therefore,

[tex]r = \frac{(4\pi\ x\ 10^{-7}\ N/A^2)(2\ A)}{2\pi(8\ x\ 10^{-6}\ T)}\\\\[/tex]

r = 0.05 m = 5 cm

Oxygen Supply in Submarines Nuclear submarines can stay under water nearly indefinitely because they can produce their own oxygen by electrolysis of water.


How many liters of O2 at 298 K and 1.00 bar are produced in 1.00 hr in an electrolytic cell operating at a current of 0.0200 A?

Answers

Answer:

1.865 * 10^-4 L

Explanation:

The equation of the reaction is:

4OH^-(aq) ----->2H2O(l) + O2(g) + 4e

Since one mole of oxygen which occupies 22.4 L is produced in the electrolysis of water by 4 Faraday of electricity as shown in the equation above;

Then;

4 * 96500 C liberates 22.4 L of oxygen

60 * 60 * 0.0200 C will liberate 60 * 60 * 0.0200 *  22.4/4 * 96500

= 1.865 * 10^-4 L

Water raises a boat once every 3.0 seconds. What is the frequency (f) of the waves passing the boat?
3.0 Hz

0.33 Hz

0.1 Hz

334 Hz

Answers

Answer:

I think its A

Explanation:

if its every 3 seconds wouldnt it be 3.0 Hz

The Earth orbits the Sun because of the competing forces of _________________ and _______________________.

Answers

the two competing forces that keeps earth orbiting the sun is gravity and inertia

Which of the following statements correctly describes sound waves? Select all that apply.

a) Sound waves travel as transverse waves.
b)Sound waves travel as longitudinal waves.
c)Sound waves travel at a speed of 3×108 m/s.
d)Sound waves can travel through the vacuum of space.
e)Sound waves typically move faster through solids than gases.

Answers

Answer:

a

Explanation:

transverse waves travel at a right angle to the direction of the wave motion and the examples of transverse waves are water waves and radio waves of which radio produces sound.

Answer:

The correct option is A.

Sound waves travel as transverse waves.

Explanation:

Sound waves is a type of compression or mechanical vibrations that travel through a medium such as water, air and the energy of the medium through which it's travel cause the vibrations.

Sound travel as transverse waves because it move through a right angle direction of the wave movement and it travel through a medium such as air.

Example include Radio waves and water waves.

Therefore, Sound waves travel as transverse waves.

For further details, check https://brainly.in/question/2933603

A runner slows down after completing works her deceleration is 0.25m/s after 5 sec she is traveling at 4m/s determine her initial velocity

Answers

Answer:

vi = 5.25 m/s

Explanation:

We can determine the initial velocity of the runner by using the first equation of motion, as follows:

[tex]v_f = v_i + at\\[/tex]

where,

vf = final speed of the runner = 4 m/s

vi = initial speed of the runner = ?

a = deceleration of the runner = - 0.25 m/s²

t = time taken = 5 s

Therefore,

[tex]4\ m/s = v_i + (-0.25\ m/s^2)(5\ s)\\v_i = 4\ m/s + 1.25\ m/s\\[/tex]

vi = 5.25 m/s

What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 880 Hz?

Answers

Answer:

Explanation:Wave length of a sound wave = speed / frequency1) 340 m/s / 880 Hz

Answer:

0.386m

Explanation:

                       Speed

Wavelength = -----------------

                       Frequency

                       340m/s

Wavelength = -------------- = 0.386m

                       880 Hz

According to Newton's third law, what other force must be happening?

Answers

Answer:

The desk is pushing back on Arianna

Explanation:

If you read newton's 3rd law, it states that for every action force (Arianna pushing the desk), there is an equal reaction force (The desk pushing back on her). This is true for EVERY OBJECT THAT HAS MOTION!

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