A blue toy train has a mass of 2 kg and moves to the right at a velocity of 1 m/s initially. A red train with a mass of 1 kg moves to the left at a velocity of -1 m/s initially. When the trains collide the blue train experiences an impulse of - 0.6 kg m/s. What impulse does the red train experience?

Answers

Answer 1

Answer:

2kg m/s

Explanation:

cuz


Related Questions

A wire of length 4m, radius lmm is extended by 2.5mm by a load of 200N
Calculate the energy stored in the wire and the strain energy per unit volume

Answers

Explanation:

Given : L=2 m A=0.0225mm

2

=0.0225×10

−6

m

3

F=100 N

Stress =

A

F

=

0.0225×10

−6

100

=4.4×10

9

N/m

2

Energy stored U=

2

1

×

Y

(stress)

2

×AL

Or U=

2

1

×

20×10

10

(4.4×10

9

)

2

×(0.0225×10

−6

)(2)=2.222 J

What happens
to the energy
level of particles
when melting
occurs?
A. it decreases
B. it increases and
decreases rapidly
C. it increases
D. it stays the same

Answers

It decreases happens to the energy level of particles when melting occurs. So, option (a) is correct.

What is energy level?

The fixed distances between the atom's nucleus and the location of electrons are known as energy levels, sometimes known as electron shells. A tiny, positively charged nucleus at the center of an atom is surrounded by electrons, which are tiny, negatively charged particles. A staircase's steps can be compared to energy levels.

What is melting?

Melting is the transformation of a solid into a liquid under the influence of heat. When a solid is impure, it often melts over a wide range of temperatures below the melting point of the main component. In a pure crystalline solid, this process takes place at a specific temperature known as the melting point.

Therefore, decreases happens to the energy level of particles when melting occurs. So, option (a) is correct.

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A rocket fired horizontally at 50m/s breaks into 2 equal masses. One mass, m1, deflects 30ᴼ above the horizontal while the other mass, m2, deflects 60ᴼ below the horizontal. Find the velocities for m1 and m2 at that moment.

Answers

Answer:When a rocket is fired horizontally at 50 m/s and breaks into two equal masses, m1 and m2, the velocities of the two masses at the moment of separation can be determined using the principles of conservation of momentum and conservation of kinetic energy.

According to the principle of conservation of momentum, the total momentum of an isolated system remains constant, unless an external force is applied. This means that the total momentum of the two masses before and after the separation must be the same. Since the two masses are equal and the initial velocity of the rocket is 50 m/s, the total initial momentum of the system is 50 m/s x 2 masses = 100 m/s.

After the separation, the momentum of m1 is equal to the initial momentum of the system, since the direction of motion has not changed. This means that the velocity of m1 is 50 m/s.

The momentum of m2, however, has changed due to the deflection of 60ᴼ below the horizontal. The direction of motion of m2 is now perpendicular to the initial direction of the rocket, and the magnitude of the momentum is equal to the initial momentum of the system. Using the law of cosines, we can determine the magnitude of the velocity of m2 as follows:

v2 = (100 m/s) / (cos 60ᴼ)

v2 = 50 m/s

Therefore, the velocities of m1 and m2 at the moment of separation are 50 m/s and 50 m/s, respectively.

Explanation:

What type of acceleration does an object moving with constant speed in a circular path experience?Select one:A) constant acceleration.B) terminal acceleration.C) linear acceleration.D) centripetal acceleration.E) free fall.

Answers

ANSWER:

D) centripetal acceleration.

STEP-BY-STEP EXPLANATION:

When a body performs a uniform circular motion, the direction of the velocity vector changes at every instant. This variation is experienced by the linear vector, due to a force called centripetal, directed towards the center of the circumference that gives rise to the centripetal acceleration.

Therefore, the answer is centripetal acceleration.

What happens to the potential energy of atoms that bond?

Answers

The potential energy decreases as the bond distance increases.

Which factor indicates the amount of charge on the source charge?
A. the number of field lines on the test charge
B. the number of field lines on the source charge
C. the direction of lines on the source charge
D. the direction of lines on the test charge

Answers

Answer:

B. the number of field lines on the source charge

Explanation:

As we know that electric flux is defined as the number of electric field lines passing through a given area.

So here  electric flux due to a point charge "q" is given by

so here we know that flux depends on the magnitude of charge and hence we can say that number of filed lines originating from a point charge will depends on the magnitude of the charge.

The factor indicates the amount of charge on the source charge is the number of field lines on the source charge.

What is electric flux?

The electric flux is defined as the number of electric field lines passing through a given area.

The electric flux due to a point charge q is given by the number of filed lines through particular closed area.

We know that flux depends on the magnitude of charge and number of field lines starting from a point charge will depends on the magnitude of the charge.

Thus, the correct option is B.

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Four capacitors with capacitance 3.0 pF, 2.0 pF, 5.0 pF and X pF are connected in series to each other. If the equivalent capacitance of the circuit is 0.83 pF, what is the value of the X capacitor? (A). 6.0 pF (B). 5.0 pF (C). 3.0 pF (D). 2.0 pF (E). 0.83 pF

Answers

Answer:

A. 6pF

Explanation:

If unknown capacitance C1, C2, C3 and C4 are connected in series to one another, their equivalent capacitance of the circuit will be expressed as shown

\(\frac{1}{C_t} = \frac{1}{C_1} +\frac{1}{C_2} +\frac{1}{C_3} +\frac{1}{C_4} \\\)

Given the capacitance's 3.0 pF, 2.0 pF, 5.0 pF and X pF connected in series to each other. If the equivalent capacitance of the circuit is 0.83 pF, then to get X, we will apply the formula above;

\(\frac{1}{0.83} = \frac{1}{3.0} +\frac{1}{2.0} +\frac{1}{5.0} +\frac{1}{C_4} \\\\\\1.205 = 0.333+0.5+0.2+\frac{1}{C_4} \\\\1.205 = 1.033 + \frac{1}{C_4} \\\\\frac{1}{C_4} = 1.205-1.033\\\\\frac{1}{C_4} = 0.172\\\\C_4 = \frac{1}{0.172}\\ \\C_4 = 5.8pF\\\\\)

C₄ ≈ 6pF

Hence the value of the X capacitor is approximately 6pF

A plane electromagnetic wave propagates in a vacuum in the z-direction. The wave has a wavelength of 10 m and the electric field is along the x direction and has an amplitude of is 0.20 V/m, with one maximum at x = 0 and t = 0. What is the mathematical expression for the magnetic field?
A. By = 0.067 × 10-8sin[(0.63 m-1)z - (2.1 × 10-9 s-1)t] T.
B. By = 0.067 × 10-8cos[(0.63 m-1)z + (1.9 × 108 s-1)t] T.
C. By = 0.067 × 10-8cos[(10 m-1)z - (2.1 × 10-9 s-1)t] T.
D. By = 0.067 × 10-8cos[(0.63 m-1)z - (1.9 × 10-8 s-1)t] T.
E. By = 0.067 × 10-8sin[(0.63 m-1)z + (2.1 × 10-9 s-1)t] T.

Answers

Answer:

B. By = 0.067 × 10-8cos[(0.63 m-1)z + (1.9 × 108 s-1)t] T.

Explanation:

Since the electric field has a maximum at x = 0 and t = 0, it is a cosine function and thus the magnetic field is also a cosine function.

Also, the electric field travels in the x - direction and the wave in the z-direction. Since the magnetic field is perpendicular to both directions, it must thus move in the y - direction.

So, By = B₀cos(kz - ωt). It has a negative sign since the wave is travelling in the positive z - direction.

Since c = E₀/B₀ where E₀ = amplitude of electric field = 0.20 V/m, B₀ = amplitude of magnetic field and c = speed of light = 3 × 10⁸ m/s

So, B₀ = E₀/c = 0.20 V/m ÷ 3 × 10⁸ m/s = 0.067  × 10⁻⁸ T

wave number, k = 2π/λ where λ = wavelength = 10 m. So, k = 2π/10 m = 6.28/10 m = 0.628 m⁻¹ ≅ 0.63 m⁻¹

angular frequency, ω = 2πf where f = frequency of wave = c/λ = 3 × 10⁸ m/s 10 m = 3 × 10⁷ s⁻¹. So, ω = 2πf = 2π(3 × 10⁷ s⁻¹) = 18.8 × 10⁷ s⁻¹ = 1.88  × 10⁸ s⁻¹ ≅ 1.9  × 10⁸ s⁻¹

Substituting the variables into By, we have

By = B₀cos(kz - ωt)

By = (0.067  × 10⁻⁸ T)cos[(0.63 m⁻¹)z - (1.9  × 10⁸ s⁻¹)t]

By = 0.067  × 10⁻⁸cos[(0.63 m⁻¹)z - (1.9  × 10⁸ s⁻¹)t] T

Since none of our options contain the given answer, we assume the wave moves in the negative z - direction. So, for that,

By = 0.067  × 10⁻⁸cos[(0.63 m⁻¹)z + (1.9  × 10⁸ s⁻¹)t] T

Answer:

D.

\(\mathbf{B_y = 0.067 \times 10^{-8} Cos \Big[ 0.6 3m^{-1} z - (1.9 \times 10^{-6} \ s^{-1})t \Big] T}\)

Explanation:

From the given information:

Let us recall that the direction with which electromagnetic wave proceeds is usually along \(E^{ \to} \times B^{\to}\)

Thus; the magnetic field is always along the y-direction.

In the magnetic field, the maximum value of the field is expressed by using the formula:

\(\dfrac{E}{C} = \dfrac{0.20 \ V/m}{3\times 110^8 \ m/s} \\ \\ = 0.067 \times 10^{-8} \ T\)

Given that:

the maximum x is starting at 0, then, it implies that it is starting from the extreme position proceeding along +z direction.

As such; the general equation: \(y = A sin (\omega t - kz)\)

Also:

\(K = \dfrac{2 \pi}{\lambda}\)

where;

\(\lambda =10\)

\(K = \dfrac{2 \pi}{10}\)

K ≅ 0.63 m⁻¹

Thus;

\(\mathbf{B_y = 0.067 \times 10^{-8} Cos \Big[ 0.6 3m^{-1} z - (1.9 \times 10^{-6} \ s^{-1})t \Big] T}\)

Question 6 of 10
Which statements below are true?
Check all that apply.
A. Displacement measurements must include magnitude, unit, and
direction.
B. If motion starts and stops at the same location, then the
displacement is zero.
C. Distance can be fully described with a magnitude and a unit.
D. Distance is always less than or equal to the magnitude of the
displacement.

Question 6 of 10Which statements below are true?Check all that apply.A. Displacement measurements must

Answers

Answer:

A, AND B,

Explanation: just trust me bro

What can light and sound both vary in which one of these ?

Volume
Intensity
Number or prespective?

Answers

Answer:

intensity

Explanation:

b. example, The sun is very bright and intense. and sounds can be very loud.

1. A bicyclist travels for 1.5 hours at an average speed of 23 km/h. How far does the bicyclist travel
in that time?

Answers

Explanation:

23 km/hr x 1.5 hrs = 34.5 km

34.5 km = 34500 meters

In this case your finding d or distance. So you would have to multiply the time by speed. The time in this case is 1.5hrs, the speed in 34.5km/h. So multiply and you’ll get 34.5m

In a ballistic pendulum, a spring pushes a ball from rest. It flies through the air and sticks in the base of a pendlum that swings upwards.

Given that the ball and pendulum reach a maximum angle of 45º, the pendulum is 30 cm long, the mass of the ball is 76 g, and the mass of the pendulum is 250 g, calculate the speed of the ball after it has left the spring but before it hits the pendulum. Do not include the units in your response.

Answers

Answer: EASY BROOOOOOOOOOOOOOOOOOOOOOOOO

Take a look inside your heart

Is there any room for me?

I would have to hold my breath

'Til you get down on one knee

Because you only want to hold me

When I'm looking good enough

Did you ever fault me?

Would you ever picture us?

Every time I pull my hair out

Was only out of fear

That'd you find me ugly

And one day you'll disappear

Because what's the point of crying?

It was never even love

Did you ever want me?

Was I ever good enough?

If a total 50 J of work are done on an object, it's energy...

Answers

Answer:

0.0119502868 kilocalorie

Explanation:

Answer:

increases by 50

Explanation:

the products available for purchase are the?
a. demand
b. equilibrium point
c. equilibrium price
d. supply​

Answers

Answer:

supply

Explanation:

supply is how much product that you have

The answer is supply

What evidence did Wegener NOT use to support his idea of continental drift?
A. Mountain ranges on different continents lined up when coastlines were matched up.
B. Fossils of plants and animals in climates where their survival would have been impossible. C. The thickness of layers of ice in the Antarctic.
D. Rock strata on different continents lined up when coastlines were matched up.

Answers

The evidence that Wegener did NOT use to support his idea of continental drift is "the thickness of layers of ice in the Antarctic.

option C

What is Wegener's primary evidence for continental drift?

Wegener's primary evidence for continental drift included the fit of the coastlines of different continents, the distribution of fossils across different continents, and the alignment of rock strata on different continents.

So the thickness of layers of ice in the Antarctic, was not used by Wegener to support his idea of continental drift. While this evidence is important for supporting the theory of glaciation, it is not relevant to the theory of continental drift.

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Internal Noise is ....

Select one:
a. inside the person
b. outside the person

Answers

Answer:

the aswer of this equation is the letter A.

Explanation:

in ternal means inside of something or someone

Samir is waiting for a slow reaction to finish. What is the best way to make the reaction go faster?

Question 12 options:

Put it in the fridge where it is cold


Cover it with a blanket so it's dark


Warm it up on the stove


There is nothing you can do to change the speed of the reaction

Answers

In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.

Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct

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Question on file. Question

Question on file. Question

Answers

The speed of the block when it reaches marker 1 is given by √(v₀² + 2aL).

The block spends (-v₀ + √(v₀² + 8aD)) / (2a) seconds between marker 1 and marker 2.

How to determine speed and time?

Part A:

To determine the speed of the block when it reaches marker 1, use the equations of motion. The block starts with an initial speed of v0 and experiences a constant deceleration of magnitude a.

Using the equation of motion:

v₁² = v₀² + 2aΔx

where v₁ = speed at marker 1, v₀ = initial speed, a = acceleration, and Δx = distance traveled.

Since the block slows down, the final speed v₁ at marker 1 is less than the initial speed v₀. The distance traveled from the initial position to marker 1 is L.

Therefore, the equation becomes:

v₁² = v₀² + 2aL

Taking the square root of both sides:

v₁ = √(v₀² + 2aL)

So the speed of the block when it reaches marker 1 is given by √(v₀² + 2aL).

Part B:

To determine the time the block spends between the two markers, use the equation of motion:

Δx = v₀t + (1/2)at²

where Δx = distance between marker 1 and marker 2, v₀ = initial speed, a = acceleration, t = time, and t = time between the two markers.

Since the block slows down, the final speed at marker 2 is 0. Therefore, the distance between marker 1 and marker 2 is D.

The equation becomes:

D = v₀t + (1/2)at²

Rearranging the equation:

at² + v₀t - 2D = 0

This is a quadratic equation in t. Solve it using the quadratic formula:

t = (-v₀ ± √(v₀² + 8aD)) / (2a)

Since the block slows down, the time between the two markers is the positive root of the quadratic equation:

t = (-v₀ + √(v₀² + 8aD)) / (2a)

So the block spends (-v₀ + √(v₀² + 8aD)) / (2a) seconds between marker 1 and marker 2.

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Nuclear Energy

The element carbon has three natural isotopes: C-12, C-13, and C-14.
Use the periodic table to find the number of protons in a carbon atom.
Then make a drawing to show the nuclei of the three carbon isotopes.
Your drawing should convey the number of protons and neutrons in each of the three different nuclei.
Carbon-12 and Carbon-13 are stable, whereas Carbon-14 is unstable.
Which isotope of carbon is most likely to undergo natural radioactive decay?
Which one would be called a radioisotope?
Explain the three processes of nuclear change and what is produced during as a result of that change.
Why is U-235 the most common nuclear fuel instead of the more abundant U-238? State a clear topic sentence and support it with evidence.
Create a flow chart to show how uranium is processed for use in a nuclear reactor.

Answers

Answer:

When uranium is mined, it consists of approximately 99.3% uranium-238 (U238), 0.7% uranium-235 (U235), and < 0.01% uranium-234 (U234). These are the different uranium isotopes. Isotopes of uranium contain 92 protons in the atom's center or nucleus. (The number of protons in the nucleus is what makes the atoms "uranium.") The U238 atoms contain 146 neutrons, the U235 atoms contain 143 neutrons, and the U234 atoms contain only 142 neutrons. The total number of protons plus neutrons gives the atomic mass of each isotope — that is 238, 235, or 234, respectively. On an atomic level, the size and weight of these isotopes are slightly different. This implies that with the right equipment and under the right conditions, the isotopes can be separated.

Explanation:

Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.

Answers

The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.

During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.

The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.

By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.

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Hi
How are you all

Please I need help from anyone who know physics.

In these lessons the questions will be friction,vectors, forces in two dimensions.

So, Please to anyone who can help Write a comment,And I'll be in touch with him, thanks everyone

Answers

Answer:

umm it says he but I'm a she :p

a spring with a spring constant of 65 n/m is displaced -94cm. what is the magnitude of the force exerted by the spring

Answers

Answer:

Explanation:

F = kx = 65 N/m(0.94 m) = 61.1 = 61 N

1. You are part of a new team of colleagues at work and you are trying to remember everyone's
name. What part of the brain would be responsible for making sure you know who everyone is?
a. Hippocampus
b. Hypothalamus
c. Amygdala
d. Thalamus

Answers

The part of the brain that would be responsible for making sure you know who everyone is Hippocampus; option A

What is the brain?

The brain is the organ in the body which controls the function of other organs in the body.

The brain is made up of cells called neurons.

The brain is divide into three main parts namely:

the cerebrum,the brainstem, andthe cerebellum

The cerebrum consists of two cerebral hemispheres the outer layer called the cortex.

The brainstem consists of the medulla, pons, and midbrain.

The cerebellum consists of three lobes the anterior lobe, the posterior lobe and the flocculonodular lobe.

The hippocampus is part of the temporal lobe which controls recognition and dentification of people.

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Can you help with this question please

Can you help with this question please

Answers

Answer:

First answer to the first question is Two people pulling a rope with the same force in a opposite direction.  The other one would be 2.72N        

Explanation:

Hope this helps you :)

3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?​

Answers

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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Which force requires contact?

A.
The force of attraction between two masses

B.
The force exerted by air as an object moves through it

C.
The force produced by interactions between electrically charged objects

D.
The force produced by interactions between magnetic objects

Answers

Answer:

the force produced between magnetic objects

Answer:D: The force produced by interactions between magnetic objects

Explanation:

A seesaw made of a plank of mass 10.0 kg and length 3.00 m is balanced on a fulcrum 1.00 m from one end of the plank. A 20.0-kg mass rests on the end of the plank nearest the fulcrum. What mass must be on the other end if the plank remains balanced?

Answers

Answer:

7.5 kg

Explanation:

We are given that

\(m_1=10 kg\)

Length of plank, l=3 m

Distance of fulcrum from one end of the plank=1 m

\(m_2=20 kg\)

We have to find the mass must be on the other end if the plank remains balanced.

Let m be the mass must be on the other end if the plank remains balanced.

In balance condition

\(20\times 1=10\times (1.5-1)+m\times (1.5+0.5)\)

\(20=10(0.5)+2m\)

\(20=5+2m\)

\(2m=20-5=15\)

\(\implies m=\frac{15}{2}\)

\(m=7.5 kg\)

Hence, mass 7.5 kg   must be on the other end if the plank remains balanced.

Answer:

The mass at the other end is 7.5 kg.

Explanation:

Let the mass is m.

Take the moments about the fulcrum.

20 x 1 = 10 x 0.5 + m x 2

20 = 5 + 2 m

2 m = 15

m = 7.5 kg

A seesaw made of a plank of mass 10.0 kg and length 3.00 m is balanced on a fulcrum 1.00 m from one end

A gas expands from I to F in the figure. The energy added to the gas by heat is 465 J when the gas goes from I to F along the diagonal path. What is the change in internal energy of the gas?

Answers

The gas's internal energy that expands from I to F changes by 1015 J.

How to determine internal energy?

Since the gas is expanding and energy is added to it by heat, the change in internal energy of the gas can be calculated using the first law of thermodynamics, which states that:

ΔU = Q - W

where ΔU = change in internal energy,

Q = heat added to the system, 465 J and

W = work done by the system.

Assuming that the process is quasi-static use approximation known as the "staircase approximation."

By adding up the work done in each step, find that the total work done by the gas is approximately -550 J. The negative sign indicates that work is done on the gas.

Therefore, using the first law of thermodynamics, we can calculate the change in internal energy of the gas as:

ΔU = Q - W

ΔU = 465 J - (-550 J)

ΔU = 1015 J

Therefore, the change in internal energy of the gas is 1015 J.

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An iron nail floats in mercury and sinks in water. explain why?​

Answers

Answer:

because density of iron is more than that of water but less then that of Mercury

hope it's helpful

You have to move your 100 N couch before a delivery company drops off your new one. Unfortunately your roommate is passed out on it. The coefficient of friction between the couch and floor is .43. It takes 250 N of force to get the couch moving. a) How much does your roommate weigh in Newton’s? b) After you get the couch moving it only takes 200 N to keep it moving at a constant speed, what is the coefficient of kinetic friction?

Answers

Answer:

a) Weight of Roommate = 481.4 N

b) μk = 0.34

Explanation:

a)

The force required to move the couch must be equal to the force of friction:

F = frictional force

F = μW

W = F/μ

where,

W = Total Weight of Couch and Roommate

F = Force Required start to move couch = 250 N

μ = coefficient of static friction between couch and floor = 0.43

Therefore,

\(W = \frac{250 N}{0.43}\\\\W = 581.4 N\)

So, the total weight is given as:

W = Weight of Couch + Weight of Roommate

Weight of Roommate = W - Weight of Couch

Weight of Roommate = 581.4 N - 100 N

Weight of Roommate = 481.4 N

b)

Now, the force required to keep the couch moving can be given as equal to the kinetic friction force:

F = kinetic friction

F = μk*W

μk = F/W

where,

μk = coefficient of kinetic friction = ?

F = Force required to keep the couch moving = 200 N

Therefore,

μk = 200 N/581.4 N

μk = 0.34

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