Engineers are using computer models to study train collisions to design safer
train cars. They start by modeling an elastic collision between two train cars
traveling toward each other. Car 1 is traveling east at 6 m/s and has a mass
of 3,154 kg, Car 2 is traveling west at 23 m/s and has a mass of 8,296 kg.
After the collision, car 1 has a final velocity of 7 m/s west. What is the final
velocity of car 2?
A. 18 m/s east
B. 23 m/s west
C. 23 m/s east
D. 18 m/s west
SUN

Option C. The heat absorbed or lost by a substance while it's changing state  correctly describes latent heat

Latent heat is the heat absorbed or lost by a substance while it is changing state.

The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.

For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.

Latent heat is not associated with a temperature change; rather, it's associated with a change of state.

For instance, the temperature of water remains at 100°C while boiling.

When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.

When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.

Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.

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Answer:

It is Conductivity because it is the measure of the ease.

Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

Answer:

The drum struck with a lot of energy would be louder than the drum struck with little energy because there is a harder impact on it

Explanation:

Magnetic particle separation is a powerful tool for separating particles based on their velocities in a magnetic field, and it has significant practical applications in various scientific and technological fields.

To separate particles of different velocities moving in a magnetic field, one can utilize a technique called magnetic field separation or magnetic particle separation.

This method takes advantage of the fact that charged particles moving in a magnetic field experience a force called the Lorentz force, which acts perpendicular to both the velocity vector and the magnetic field.

The basic principle behind magnetic particle separation is to apply a magnetic field perpendicular to the motion of the particles. The Lorentz force will then cause the particles to curve in different directions based on their velocities and charges.

By carefully controlling the strength and direction of the magnetic field, particles with different velocities can be steered onto different paths and separated.

One common approach to achieve magnetic particle separation is to use a device called a magnetic separator. This device typically consists of a strong magnet or a series of magnets arranged to create a uniform magnetic field.

The particles to be separated are injected into a chamber or a flow system where the magnetic field is applied. As the particles move through the magnetic field, they experience the Lorentz force and deviate from their original trajectory. The degree of deviation depends on their velocity and charge.

By carefully adjusting the magnetic field strength, particle size, and other parameters, it is possible to optimize the separation process and achieve effective separation of particles with different velocities. This technique has various applications in fields such as biomedical research, environmental monitoring, and materials science.

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Answer:

a. Amplitude = 0.244 meters

b. Period = 1.62 seconds

c. Frequency = 0.6173 Hz

Explanation:

a.

With the position goes from 0.122 meters to -0.122 meters (negative because it is in the opposite side of the equilibrium point), the amplitude is the maximum value minus the minimum value:

Amplitude = 0.122 - (-0.122) = 0.122 + 0.122 = 0.244 meters

b.

The period is the amount of time the object takes to arrive in the same position again. So, if it takes 0.81 seconds to go to -0.122 m, it will take another 0.81 seconds to come back to 0.122 m, so the period is the sum of these two times:

Period = 0.81 + 0.81 + 1.62 seconds

c.

The frequency of the movement is the inverse of the period:

Frequency  = 1 / Period

So if the period is 1.62 seconds, the frequency is:

Frequency = 1 / 1.62 = 0.6173 Hertz

Answer:

211.2 kg:m/s

Explanation:

Mark brainily

Answer:

I am 15th in my state for 55m hurdles with a time of 10.4 seconds

Explanation:

BAM

Answer: 44 m per minute

Explanation:

Electric potential at point (0, 0) due to the two point charges is \(-6.84 * 10^6 volts\). We can use formula: \(V = k(q1/r1 + q2/r2)\)

To find the Electric potential at point (0, 0) due to the two point charges, we need to use the formula:

\(V = k(q1/r1 + q2/r2)\)

where V: electric potential, k: Coulomb's constant (\(8.99 * 10^9 N m^2/C^2\)), q1 and q2: magnitudes of the charges (-7.70 c and 0.778 c, respectively), and r1 and r2: distances from each charge to the point (0, 0).

Using the distance formula, we can find that r1 = 7.593 m and r2 = 10.342 m. Put values in formula:

V = \((8.99 * 10^9 N m^2/C^2)(-7.70 c/7.593 m + 0.778 c/10.342 m)\)

V = \(-7.52 * 10^6 V + 6.77 * 10^5 V\)

V =\(-6.84 * 10^6 V\)

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Answer:

a)this graph is also a line     b) in both cases we have a uniform movement

Explanation:

In this exercise we have a uniform movement

     v = d / t

     d = v t

in the table we give some values ​​to make the graph

       t (s)    d (m)

        1         10

        2        20

        3         30

In the attached we can see the graph that is a straight line

we have another vehicle at v = 50 me / S

t (s)     d (m)

1         50

2        100

3         150

this graph is also a line

b) in both cases we have a uniform movement

The magnitude of the force and the impulse applied to the car are  85714 N and  30000 N-s respectively.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

The magnitude of the force applied to the car = change in momentum/time interval

= (1200 kg × 25 m/s - 1200 kg×0)/0.35 second

= 85714 N.

The impulse applied to the car = change in momentum

= (1200 kg × 25 m/s - 1200 kg×0)

= 30000 N-s.

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Answer:

Check pdf

Explanation:

The angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

The angle that the net force makes with respect to the +x axis, is determined as follows;

F = qvBsinθ

Fy =  qv(By)sinθ

Fx =  qv(Bx)sinθ

The angle that the net force makes with respect to the +x axis;

tanθ = Fy/Fx

tanθ = qv(By)sinθ / qv(Bx)sinθ

tanθ = By/Bx

tanθ = 0.065/0.045

tanθ = 1.444

θ = tan⁻¹(1.444)

θ = 55.3⁰

Thus, the angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

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Answer:

the motion of the coin taping the balloon is the balloon squshing down

Answer:

\(\boxed{12250N}\)

Explanation:

Assuming we disregard air resistance, the only force acting on the elevator will be its weight.

\(F \implies w=m\cdot g\)

where:

\(F=\) force

\(w=\) weight

\(m=\) mass → 1250kg

\(g=\) gravity acceleration  → 9.8m/s^2

Then:

\(F= 1250kg \cdot 9.8m/s^2\\F=12250 kg\cdot m/s^2= 12250N\)

Hope it helps.

\(\text{-B$\mathfrak{randon}$VN}\)

The velocity of sound in air is 358m/s

Given;

v= 2f(L2-L1)

= 2.2.56.(1- 0.3)

=358 m/s

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By calculating the Momentum of each of the vans and comparing the two values, we find that the second van weighing 3,450 kg with a velocity of 23 m/s has higher momentum, which is 79,350 kgm/s.

To determine which van has higher momentum, we need to calculate the momentum of each van using the formula:

Momentum = mass × velocity

Given:

Mass of Van₁ = 3500 kg

Velocity of Van₁ = 22 m/s:

Momentum = 3500 kg × 22 m/s = 77000 kgm/s

Mass of Van₂ = 3450 kg

Velocity of Van₂ = 23 m/s:

Momentum = 3450 kg × 23 m/s = 79350 kgm/s

Comparing the two values, we find that the second van weighing 3,450 kg with a velocity of 23 m/s has higher momentum, which is 79,350 kg·m/s.

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Answer:

hahsbahbavbsbsbaba avabshshshbabahsjsjajajjajajjajjaja

Answer: sound waves travel faster in solid than water or air.

In vacuum sound waves don't travel at all

Answer:

A: Sound travels faster through air

Explanation:

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C, the speed of sound in air is about 343 metres per second, or a kilometre in 2.9 s or a mile in 4.7 s.

Answer:

Explanation:

Given

Horizontal velocity = 9.00m/s

time taken = 0.550 s

Required

How far does the projectile fall in the vertical direction

Using the formula for finding the maximum height of the projectile

H = U²sin²θ/2g where;

U = 9.00m/s

θ = 90° (object launched in the vertical direction)

g = 9.81m/s²

Substituting the given parameters into the formula;

H = 9²sin²90/2(9.81)

H = 81(1)/19.62

H = 81/19.62

H = 4.128 m

H ≈ 4.13m

Hence the distance that the projectile fall in the vertical direction is 4.13m

Answer:

distance

Explanation:

Speed is the rate of change of position expressed as distance travelled per unit of time

The amount of charge that passes per unit time is called electric current .

Current has dimensions of [Charge] / [Time] .

It's measured and described in units of ' Ampere ' .

1 Ampere means 1 Coulomb of charge passing a point every second.

As light from a star spreads out and weakens, there are no  gaps forming between the photons.

A photon is described as  an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force.

No matter how faint the light gets, there are never any spatial gaps in light when we think of photons as waves.

Although a distant star's light does spread out and get weaker as it moves, this just affects the wave intensity and does not cause gaps in the wave.

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In conclusion, the experiment on the oscillation of a simple pendulum provided valuable insights into the behavior and characteristics of pendulum motion.

The results obtained during the experiment confirmed the expected relationship between the period of a pendulum and its length. It was observed that as the length of the pendulum increased, the period also increased, indicating a direct proportionality between these two variables.

This relationship aligns with the theoretical predictions of a simple pendulum, as stated by the formula T = 2π√(L/g), where T is the period, L is the length, and g is the acceleration due to gravity.

The experiment also demonstrated the effect of changing the angle of displacement on the period of the pendulum. It was observed that for small angles of displacement, the period remained constant, confirming the approximation of small angle oscillations as simple harmonic motion.

However, as the angle of displacement increased, the period deviated from the expected value, highlighting the non-linear nature of the pendulum's motion at larger angles.

Furthermore, the experiment emphasized the importance of minimizing external influences, such as air resistance and friction, to obtain accurate and reliable results. By ensuring a controlled environment and employing proper techniques, the impact of these external factors was minimized.

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Answer:

1 and 3

Explanation:

because they are going up from 0

Given data

One rotation means 360 degree

The angular speed for five rotations is

The angular speed for one rotation is

(A)

The average angular acceleration is zero here as there is no change in the angular velocity. But, if you consider that first case (A) where the angular velocity is 6.09 rad/s and the second case where the angular velocity is 5.86 rad/s. You can say that there is a change in angular velocity but there is no particular time interval. Hence, you can not calculate the average angular acceleration. For individual cases, there will be no average acceleration.

But, there will be centripetal acceleration which will act towards the center of the circle.

(B)

The length of the elbow is given as

The centripetal acceleration of the elbow is calculated as

(C)

The length of the hand is given as,

Therefore, the centripetal acceleration on the hand is calculated as

Thus, the centripetal acceleration for the hand is different from the elbow

Hendry and Cathy will each throw an object, and the time and location at which they will collide can be determined using the laws of motion. Hendry's item had an initial velocity of 26.5 m/s, whereas Cathy's object had an initial velocity of 45 m/s. Hendry's object's equation of motion is given by: s = u*t + 0.5*a*t*2, where s is the displacement, u*t* is the starting velocity, t* is the time, and a*t* is the acceleration brought on by gravity.

The acceleration caused by gravity is negative since the item is being flung upward. The item that Cathy threw has the following equation of motion: s = u * t - 0.5 * a * t2.where s is the distance travelled, u is the starting speed, t is the passage of time, and an is the acceleration brought on by gravity. The acceleration caused by gravity is negative since the item is being flung upward.

These equations allow us to determine the location and timing of the two items' collision. By figuring out the two equations for t, one may determine the moment when the objects will collide. By changing the value of t in either equation, one may determine the distance at which the objects will collide. Therefore, using the equations of motion, it is possible to determine the moment and distance at which the two objects will collide.

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Hi there! :)

\(\large\boxed{v_{f} = 18 m/s}\)

Use the following kinematic equation to solve for the final velocity:

\(v_{f} = v_{i} + at\)

In this instance, the runner started from rest, so the initial velocity is 0 m/s. We can rewrite the equation as:

\(v_{f} = at\)

Plug in the given acceleration and time:

\(v_{f} = 4.5 * 4 = 18 m/s\)