a force f is exerted on a 5 kg block to move it across a rough surface, as shown above. the magnitude of the force is initially 5 n, and the block moves at a constant velocity. while the block is moving, the force is instantaneously increased to 12 n. how much kinetic energy does the block now gain as it moves a distance of 2 m?

Answer: [tex]2.29\ rad/s[/tex]

Explanation:

Given

Mass of Platform M=150 kg

the radius of Platform R=2 m

Moment of inertia of Platform [tex]I=300\ kg.m^2[/tex]

Mass of student [tex]m=60\ kg[/tex]

The initial angular speed of the student is [tex]\omega _1=1.4\ rad/s[/tex]

Initially, the moment of inertia of platform and student is

[tex]I_1=\dfrac{1}{2}MR^2+mR^2\\\\I_1=300+60\times 4=540\ kg.m^2[/tex]

The final moment of inertia

[tex]I_2=\dfrac{1}{2}MR^2+mr^2\\\\I_2=300+60\times 0.7^2=329.4\ kg.m^2[/tex]

Conserving angular momentum

[tex]I_1\omega_1=I_2\omega _2\\\\540\times 1.4=329.4\times \omega_2\\\\\omega_2=\dfrac{756}{329.4}=2.29\ rad/s[/tex]

Answer:

U² = 142.86 N

U¹ = 357.14 N

Explanation:

Taking summation of the moment about point A, we get the following equilibrium equation: (taking clockwise direction as positive)

[tex]W(2\ m) - U^2(7\ m) = 0[/tex]

where,

W = weight of boy = 500 N

U² = reaction ay B = ?

Therefore,

[tex](500\ N)(2\ m)-(U^2)(7\ m)=0\\U^2=\frac{1000\ Nm}{7\ m}\\[/tex]

U² = 142.86 N

Now, taking summation of forces on the plank. Taking upward direction as positive, for equilibrium position:

[tex]W-U^1-U^2=0\\500\ N - 142.86\ N = U^1\\[/tex]

U¹ = 357.14 N

Answer:

A

Explanation:

inertia Equation for All Object is k m R²

inertia Equation of Hollow Cylinder I = m R²

inertia Equation of Solid Cylinder I = ½ m R²

inertia Equation of Hollow Sphere I = ⅔ m R²

inertia Equation of Solid Sphere I = 2/5 m R²

to find the speed needed we can use Mechanical Energy (ME). or Total Energy.

ME = Translation Kinetic Energy + Rotation Kinetic Energi

ME = ½ m v² + ½ I w²

ME = ½ m v² (1 + k)

v² = 2ME / m(1+k)

sinnce all objects have the same mass, we can figure that v² is proportionally with 1/(1+k)

v²(hc) = 1/(1+1) = ½ = 0.5

v = 0.707

v²(sc) = 1/(1+½) = 2/3 = 0.67

v = 0.818

v²(hs) = 1/(1+⅔) = 3/5 = 0.6

v = 0.744

v²(ss) = 1/(1+²/5) = 5/7 = 0.71

v = 0.842

these is the ratio of speed they produce in the end of the arc with initial speed = 0 m/s

so, if we must give speed to the object so that it can reach the end of the arc, the fastest speed is given to hollow cylinder and the slowest speed is given to Solid Sphere

Then the answer is

HC, HS, SC, SS

Solid sphere, solid cylinder, hollow sphere, hollow cylinder  correctly lists the objects in order from fastest to slowest speed needed to make it through the arc.

A body's inertia is a characteristic that makes it resist attempts to move it or, if it is already moving, to change the speed or direction of it.

Mathematically:

inertia All Object is = k m R²

inertia of Hollow Cylinder I₁ = m R²

inertia of Solid Cylinder I₂ = ½ m R²

inertia of Hollow Sphere I₃ = ⅔ m R²

inertia of Solid Sphere I₄ = 2/5 m R²

Total kinetic energy of a body while it roll without slipping  = Translation Kinetic Energy + Rotation Kinetic Energi

= ½ m v² + ½ I w²

= ½ m v² (1 + k)

= 2 KE / m(1+k)

Since all objects have the same mass and, v² can be expressed as proportionally with 1/(1+k).

For hollow cylinder: v₁² = 1/(1+1) = ½ = 0.5

v₁ = 0.707

For solid cylinder: v₂²= 1/(1+½) = 2/3 = 0.67

v₂ = 0.818

For hollow sphere: v₃² = 1/(1+⅔) = 3/5 = 0.6

v₃ = 0.744

For solid sphere: v₄² = 1/(1+²/5) = 5/7 = 0.71

v ₄= 0.842

The objects in order from fastest to slowest speed needed to make it through the arc are correctly listed as:

solid sphere > solid cylinder > hollow sphere >  hollow cylinder.

Option (C) is correct.

Learn more about inertia here:

https://brainly.com/question/3268780

#SPJ5

Answer:

True

Explanation:

Yes absolutely the food which provede us energy is termed as healthy..

Answer:

I believe it is D.

Explanation:

I say this because it is position vs. seconds and it makes the most sense based on the markings. Sorry if I am wrong, hope it is right!  

Answer: D. 40/15 = 2.67m/s

Explanation:

I hope it is correct

Age of dino: Mesozoic era

End of earth a dessert: End of the Mesozoic

a layer: Paleozoic

Explanation:

A=b+d that is the way to rewrite the equation

Answer:

I believe it's the weight

Explanation:

Answer:

Cornhole

Explanation:

Answer:

smaller one

Explanation:

even though he is moving quicker doesn't mean he will be packing more force in the collision

Answer:

[tex]\boxed {\boxed {\sf v \approx 1.46 \ m/s}}[/tex]

Explanation:

Momentum is the product of mass and velocity.

[tex]p=mv[/tex]

We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.

[tex]m= 65 \ kg \\p= 95 \ kg \ m/s[/tex]

Substitute the values into the formula.

[tex]95 \ kg \ m/s= 65 \ kg *v[/tex]

Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.

[tex]\frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}[/tex]

[tex]\frac {95 \ kg \ m/s}{65 \ kg }=v[/tex]

The kilograms cancel when divided.

[tex]1.46153846 \ m/s=v[/tex]

Let's round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.

[tex]1.46 \ m/s \approx v[/tex]

The velocity is approximately 1.46 meters per second.

1. All the relevant resistors are in series, so the total (or equivalent) resistance is the sum of the resistances of the resistors: 20 Ω + 80 Ω + 50 Ω = 150 Ω [choice A].

2. The ammeter will read the current flowing through this circuit. We can find the ammeter reading using Ohm's law in terms of the electromotive force provided by the battery: I = ℰ/R = (30 V)(150 Ω) = 0.20 A [choice C].

3. The voltmeter will measure the potential drop across the 50 Ω resistor, i.e., the voltage at that resistor. We know from question 2 that the current flowing through the resistor is 0.20 A. So, from Ohm's law, V = IR = (0.20 A)(50 Ω) = 10. V, which will be the voltmeter reading [choice F].

4. Trick question? If the circuit becomes open, then no current will flow. Moreover, even if the voltmeter were kept as element of the circuit, voltmeters generally have a very high resistance (an ideal voltmeter has infinite resistance), so the current moving through the circuit will be negligible if not nil. In any case, the ammeter reading would be 0 A [choice B].

Answer: The earth is a noisy place. Seismometers, which measure ground movements to detect earthquakes, volcanic eruptions, and manmade explosives, are constantly recording smaller vibrations caused by ocean waves, rushing rivers, and industrial activity.

Explanation:

Answer:

Energy = 0.25 kilowatt-hour

Explanation:

Given the following data;

Power = 25 Watts

Time = 10 hours

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

To find the energy consumed;

Energy = power * time

Substituting into the formula, we have;

Energy = 25 * 10

Energy = 250 Watt-hour

To convert to kilowatt-hour, we would divide by 1000;

Energy = 250/1000

Energy = 0.25 kilowatt-hour

Answer:

chloroplasts

Explanation:

☁️ Answer ☁️

Violet

Explanation:

1. As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.

2. Isaac Newton's experiment in 1665 showed that a prism bends visible light andthat each color refracts at a slightly different angle depending on the wavelength of the color.

Here's the link if you want to know more:

https://science.nasa.gov/ems/09_visiblelight#:~:text=As%20the%20full%20spectrum%20of%20visible%20light%20travels,has%20the%20longest%20wavelength%2C%20at%20around%20700%20nanometers.

Hope it helps.

Have a nice day noona/hyung.

Answer:

Violet

Explanation:

As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.

Ans the answer is 0.25J

Explanation

i guess

Answer:

(a) The weight of the wood is approximately 5,886 N

(b) The weight of the stone is approximately 1,962 N

Explanation:

The given parameters are;

The base area of the wood, A = 1 m × 1 m = 1 m²

The depth to which the wood is submerged below the water, d = 0.6 m

The depth further the wood sinks when a stone is placed on the wood, Δd = 0.2 m

The density of water, ρ = 1,000 kg/m³

(a) Archimedes' principle states that the up-thrust, or upward force acting on an object submerged in a fluid, is equal to the weight of the displaced fluid.

For a floating object such as the wood, the up-thrust is equal to the weight of the object

The weight of the water displaced, W = The volume of the displaced water, V × The density of the water, ρ × The acceleration due to gravity, g

W = V × ρ × g

'V' is the same as the volume of the submerged wood, therefore;

V = A × d = 1 m × 1 m × 0.6 m = 0.6 m³

g ≈ 9.81 m/s²

Therefore;

W = 0.6 m³ × 1,000 kg/m³ × 9.81 m/s² ≈ 5,886 Newtons

The weight of the water displaced, W ≈ 5,886 N = The up-thrust = The weight of the wood

∴ The weight of the wood, W ≈ 5,886 N

(b) Similarly, the weight of the stone, [tex]W_{stone}[/tex] is equal to the weight of the additional volume of water displaced

∴ [tex]W_{stone}[/tex] = A × Δd × ρ × g

By plugging in the values, we get

[tex]W_{stone}[/tex] ≈ 1 m² × 0.2 m × 1,000 kg/m³ × 9.81 m/s² = 1,962 N

The weight of the stone, [tex]W_{stone}[/tex] ≈ 1,962 Newtons

Answer:

Part A

The ammeter reading for the current flowing through the second bulb, in the third circuit is 0.43 A

Part  B

The ammeter reading for the total current coming from the cell is 0.86 A

Explanation:

The given electric circuit schematics includes;

The number of bulbs in each circuit = 2 bulbs

The number of ammeter in each circuit = 1 ammeter

The number of cells in each circuit = 1

Each circuit have identical bulbs, cells and ammeters

Part A

Ammeter reading for the third circuit

The given reading for the total current going to the cell, [tex]I_T[/tex] = 0.86 A

The reading for the current flowing through one of the bulbs, I₁ = 0.43 A

Therefore, given that the bulbs are arranged in parallel, and the bulbs have identical resistance, 'R', the current flowing in the second bulb, I₂, is given by the current divider rule as follows;

[tex]I_2 = \dfrac{R}{R + R} \times I_T = \dfrac{R}{2 \cdot R} \times I_T = \dfrac{1}{2} \times I_T[/tex]

∴ The ammeter reading for the current flowing through the second bulb, in the third circuit I₂ = (1/2) × (0.86 A) = 0.43 A

Part B

Ammeter reading for the third circuit

The total current coming from the cell = The current passing through the bulbs = I₁ + I₂

The ammeter reading for the total current coming from the cell = 0.43 A + 0.43 A = 0.86 A = [tex]I_T[/tex]

Answer:

the projectile travels with a constant horizontal velocity and a downward vertical acceleration.

Answer:

See explanation below

Explanation:

• Collect: Collect is verb that means to gather or bring something from someone or some place. It also means to extract or obtain an item from a place or person.

• Badge: A badge is a symbol of representation. It is either in a metallic or plastic form and it indicates that the bearer belongs to a certain school, organization or movement.

• Shine: Shine is a verb that means to illuminate or give out light. It also means to emit bright light from a source.

•Trace: Trace is verb that means to carefully track or find out something or an information by asking questions and doing research.

•Pear: Pear is an edible fruit that belongs to the rose family. It is usually green and rounded at the bottom while being narrow near its stalk.

• Window: A window is an opening, typically in a house or a vehicle and usually on the wall or roof. It admits air and light and lets people see through.

•Taken : Taken is the past participle of the verb “take” and it means to get a hold of something.

• Divide: Divide is a verb that means to share into differ parts.

• Repeat: Repeat means to do or say something more than once.

• Entire: Entire means “all” or “everything”. It also means “whole and complete” leaving no part out.

• Tail: Tail means the bottom or extreme end of a thing. It also means the hind part of an animal that sticks out close to the anus.

• Harvest: Harvest means to gather crops after they are grown and mature. It is the period of gathering crops in agriculture.

Answer:

slowing down.

Explanation:

acceleration points in the same direction as the velocity, the object will be speeding up. And if the acceleration points in the opposite direction of the velocity, the object will be slowing down

Explanation:

on the left side the forces add to 150N

on the right side the forces add to 300

you then take away 150 from 300

=150N to the right

answer Is C

Answer:

The answer is D

Explanation:

Answer:

To stop a car must lose its momentum and its kinetic energy. ... If the forces on two cars are equal then the greater the kinetic energy the greater the distance before stopping. But there will be a relationship to the momentum because momentum and mass are both related to the kinetic energy.

Answer:

An example of changes in people based on their age, are mood changes,playfulness and as of objects you can say old or broken, animals can use the same reference as humans, the more mature you are can suggest your older, such as the more worn down your are based on a object

Answer:

I would say all of the above.

Explanation:

Look below for more examples