in a railyard a train is being put together from freight cars.An empty freight car coasting 10 m/s strikes a loaded car that is stationary and the cars couple together. Each of the cars Haas a mass of 3000kg when empty and the loaded car contains 12000kg of canned soda . with what speed does the combination of the two cars start to move? ​

Answer: A. When half the parent nuclei in a sample have become daughter nuclei

Explanation:

Answer:

D. Measurements are taken in a way that is the same every time

Explanation: I took the quiz and got it right.

The force constant of this spring is approximately 500 N/m.

Part A:

The force constant of a spring, denoted as k, can be calculated using the equation for the potential energy stored in the spring: U = (1/2)kx^2, where U is the potential energy, k is the force constant, and x is the displacement from the equilibrium position.

In this case, the work done to stretch the spring is given as 7.50 J, and the displacement is 3.00 cm (or 0.03 m). The work done is equal to the change in potential energy, so we can set it equal to (1/2)kx^2 and solve for k.

(1/2)kx^2 = 7.50 J

Substituting the given values:

(1/2)k(0.03 m)^2 = 7.50 J

Simplifying:

0.015 k = 7.50 J

k = 7.50 J / 0.015

Calculating:

k ≈ 500 N/m

Therefore, the force constant of this spring is approximately 500 N/m.

To learn more about force

https://brainly.com/question/12785175

#SPJ11

The heat coming from the sun warms the land more quickly than the sea. As a result of these, the air near the land warm up and rises and the cooler air from the sea moves in to replace the risen air. The correct answer is option A

There will be heat transfer from a region of higher temperature to the region of lower temperature. But in the case of land and sea breeze, the transfer of heat are the result of convectional current in nature. Because the land is a better absorber of heat and also has a lower specific heat capacity compare to sea, during the day, the heat coming from the sun warms the land more quickly than the sea. As a result of these, the air near the land warm up and rises.

The cooler air from the sea moves in to replace the risen air.

Why do ocean winds or sea breezes blow toward shore during the day ? It is because air over the beach heats up, rises and is replaced by ocean air.

Therefore, option A is correct

Learn more here : https://brainly.com/question/1114842

The acceleration of the runner in the given time is 2.06m/s².

Given the data in the question;

Since the runner begins from rest,

Acceleration of the runner; \(a = \ ?\)

Velocity is the speed at which an object moves in a particular direction.

Acceleration is simply the rate of change of the velocity of a particle or object with respect to time. Now, we can see the relationship from the First Equation of Motion

\(v = u + at\)

Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.

To determine the acceleration of the runner, we substitute our given values into the equation above.

\(v = u + at\\\\13.4m/s = 0 + (a * 6.5s)\\\\13.4m/s = a * 6.5s\\\\a = \frac{13.4m/s}{6.5s}\\ \\a = 2.06m/s^2\)

Therefore, the acceleration of the runner in the given time is 2.06m/s².

Learn more about Equations of Motion: https://brainly.com/question/18486505

The skater moves at a 10 m/s speed. The right answer is A.

We must examine the forces operating on the skater in order to calculate their speed. The horizontal force applied to the ground creates the centripetal force, which is pointed in the direction of the circular path's center.

The centripetal force is calculated using the formula F = (mv2) / r, where m is the skater's mass, v is the speed, and r is the circle's radius.

We may convert the skater's horizontal force of 1125 N to the centripetal force as follows:

1125 N = (45 kg * v^2) / 4 m.

We rearrange the equation to find v:

1125 N * 4 m = 45 kg * v^2.

4500 N*m = 45 kg * v^2.

If you multiply both sides of the equation by 45 kg, you get:

100 N*m = v^2.

Taking the square root of both sides gives:

v = 10 m/s.

Therefore, the skater's speed is 10 m/s. The correct option is A.

To learn more about speed

https://brainly.com/question/13943409

#SPJ8

The answer is C, 5.2

The current in a 20.0-mH inductor changes with time as

i = 4.00t² − 7.00t,

where i is in amperes and t is in seconds. If the current is 100 mA at t = 0,

Therefore, the current at t = 5.00 ms is 50.0 mA.

Solution:The given formula for the current in the inductor is

i = 4.00t² − 7.00t

The given current i = 100 mA at t = 0

Secondly, we need to find the current at t = 5.00 msi.e.

t = 5.00 × 10⁻³ s

Put this value of t in the equation of current

i = 4.00 × (5.00 × 10⁻³)² − 7.00 × (5.00 × 10⁻³)

i = 100 × [4(5 × 10⁻³)² − 7(5 × 10⁻³)]

i = 100 × [4(25 × 10⁻⁶) − 7(5 × 10⁻³)]

i = 100 × [100 × 5 × 10⁻⁶]

i = 500 × 10⁻⁴

i = 50.0 mA

The current at t = 5.00 ms is 50.0 mA.

Given the formula for the current in the inductor as

i = 4.00t² − 7.00t,

we need to determine the current at t = 5.00 ms, given that the current is 100 mA at t = 0.

To do this, we first need to put the value of t = 5.00 × 10⁻³ s in the equation for the current, which gives

i = 4.00 × (5.00 × 10⁻³)² − 7.00 × (5.00 × 10⁻³).

Simplifying this equation, we get i = 50.0 mA.

Therefore, the current at t = 5.00 ms is 50.0 mA.

To know more about inductor visit:

https://brainly.com/question/31503384

#SPJ11

Answer:

The volume of the object is 3.5cm³

Answer:

b

Explanation:

Answer:

they transfer energy

Explanation:

Answer:

The three life-support systems she talks about are, not just our own body, but civilization and the earth. All these things help us to survive. In forensics, this could be applied to finishing a case. Forensic’s life-support relies on, our knowledge, evidence, and technology.

Hello!!

For this, use the formula:

\(\boxed{I=V/R}\)

\(\textbf{Being:}\)

\(\sqrt{}\) \(I = Current = ?\)

\(\sqrt{}\) \(V = Voltage = 160 \ V\)

\(\sqrt{}\) \(R = Resistance = 10\ \varOmega\)

\(\textbf{If we replace and resolve it}\)

\(I = 160\ V / 10\ \varOmega\)

\(I = 16\ A\)

\(\text{The current of that circuit is \textbf{16 Amperes}}\)

Answer:

there's gravity on earth so it's heavier

Mass of substance is the quantity of matter which is constant throughout the universe irrespective of the gravity of the planet, therefore the mass would be the same on earth as well as on the moon.

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

The mass of any object is constant throughout and it is measured in kilograms while the weight of any object can vary depending on the value of gravity.

The quantity of stuff known as mass remains constant throughout the cosmos, independent of a planet's gravity, hence it follows that mass would be the same on Earth and the Moon.

To learn more about gravity from here, refer to the link;

brainly.com/question/4014727

#SPJ2

Answer:

B

Explanation:

Fission and Fission are nuclear reaction processes that releases energy.

Fission is the process where the nuclei of an atom splits into smaller nuclei of same element or elements of smaller nuclei when Fussion is when two smaller nuclei combined to form one of a different element of a higher nuclei. These processes release energy.

Answer:

D. Their products have less mass than their reactants.

Explanation:

The correct option is D. The electrical forces grow larger as temperature increases. Because, The greater the electric field strength, the greater the force applied to the liquid, which causes it to eject more quickly.

The speed at which a liquid is ejected from an electrospray ionization source depends on the electric field strength, surface tension, and viscosity of the liquid. The electric field strength is determined by the voltage applied to the liquid. As the temperature of the solution increases, its viscosity decreases, allowing it to flow more easily. This means that the electrical forces on the liquid are greater at higher temperatures, causing it to be ejected more quickly. Hence Correct option is : D.

To know more about Electric field , here

brainly.com/question/8971780

#SPJ4

Answer:

0.4

Explanation:

time is disance divided by speed.

Answer: 10 meters

Explanation:

Gravitational potential energy equation= \(E_{G\)=mgh

When we rearrange using Algebra we get \(h=\frac{E_{G} }{mg}\)

Plugging everything in we get \(h=\frac{196J}{(9.80m/s^2)(2kg)}\)

Final answer is 10 meters

The spring with the higher stiffness is Spring 1. To determine this, we can look at the amount of work required to compress each spring by a given amount.

Compressing Spring 1 by 0.20m requires 150J of work, while compressing Spring 2 by 0.30m requires 210J of work. Since more work is required to compress Spring 2 by a smaller amount than it is to compress Spring 1, we can infer that Spring 1 is stiffer than Spring 2.

Stiffness is the amount of force required to move the spring a certain distance. The higher the stiffness, the more force is required to move the spring. Since it takes more force to compress Spring 1 than it does to compress Spring 2, Spring 1 is stiffer.

We can also look at the amount of work required to stretch each spring by a given amount. Stretching Spring 1 by 0.20m requires 150J of work, while stretching Spring 2 by 0.30m requires 210J of work. Again, since more work is required to stretch Spring 2 by a smaller amount than it is to stretch Spring 1, we can infer that Spring 1 is stiffer than Spring 2.

To summarize, Spring 1 is stiffer than Spring 2 since it requires more work to compress and stretch it by a given amount. Compressing Spring 1 by 0.20m requires 150J of work, while compressing Spring 2 by 0.30m requires 210J of work. Stretching Spring 1 by 0.20m requires 150J of work, while stretching Spring 2 by 0.30m requires 210J of work.

For more such questions on springs

https://brainly.com/question/21355070

#SPJ11

Answer:

a

Explanation:

With an astronomical telescope, the angle of just resolution light from two stars would be greater if the light of the average star is red or if it is blue.

What is an astronomical telescope?

An astronomical telescope consists of two lenses: objective and eyepiece.

The objective lens forms the image of a far off object at focal point while eyepiece lens just magnifies the image and make it look more clear, visible and magnified.

The formula D = 1.22λ/dФ is used to find the value of aperture of the telescope.

In general, an astronomical telescope is used to view distant stars. Thus, the angle formed would be greater if the light emitted by the average stars is red or blue.

If you need to learn more about astronomical telescope click here:

brainly.com/question/15232340

#SPJ4

Answer:

Acceleration → Change in velocity divided by time.

Proportional → Net force and acceleration

Inversely Proportional → Mass and acceleration

Net force Not Equal to zero → Driving a car up the on-ramp of the freeway

Net force Equal to zero → Driving a car with cruise control on, straight down.

Acceleration → Net force divided by mass

Force → Mass times acceleration.

Explanation:

Below we will explain each choice.

A) Acceleration by means of the following expression of kinematics is defined as the change of velocities in a given time.

\(a=\frac{v_{f}-v_{o}}{t}\)

where:

a = acceleration [m/s²]

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

t = time [s]

B)

Newton's Second Law tells us that the sum of forces in a body is equal to the product of mass by acceleration so we have the following expression.

F = m*a

where:

F = force [N] (units of Newtons)

m = mass [kg]

a = acceleration [m/s²]

As we can see in the previous equation The Force is proportional to the acceleration, that is to say, every time the acceleration increases or decreases this same will happen with the force, increases or decreases.

C)

In Newton's second law we see an inversely proportional relationship, which is best seen if we clear the term of acceleration.

\(a=\frac{F}{m}\)

In any mathematical expression where a term is in the denominator, we can say that this is inversely proportional to the term to the left of the equal sign.

D)

When a vehicle climbs a hill or climbs a slope, forces such as the weight of the vehicle act in the opposite direction to the movement, so the sum of the forces cannot be equal to zero.

E)

When a vehicle moves on a track at a constant speed that is to say at cruising speed, we say that its acceleration is zero, therefore the sum of the forces acting on the moving vehicle is equal to zero.

F)

Acceleration is defined as the relationship between Force and mass

\(a =\frac{F}{m}\)

G)

Force is defined as the product of mass by acceleration.

F = m*a

Answer:

Same direction.

Explanation:

The acceleration in this instance will be in the same direction as the velocity if the velocity is increasing without changing direction .

Addition of vectors:

vector u

has a magnitude of 20 and a direction of 0º with respect to the horizontal, vector v has a magnitude of 40 and a direction of 60º with respect to the horizontal.

a) Find the magnitude and direction of the resultant to the nearest whole

number.

Vector Sum:

The resultant of two vectors is simply the vector sum of the vectors. There are a handful of ways to present the resultant factor; the notation that shows the vector magnitude and direction is called the polar vector notation. An example of a vector presented in polar vector notation is

a∠θ where a is the magnitude and θis the angle that the vector makes with the horizontal axis.

Answer and Explanation:

Let's first present the vectors in rectangular vector notation.

For the vector →u of magnitude 20 and direction 0∘ to the horizontal axis, the vector is →u=^i20.

For the vector →v

of magnitude 40 and direction 60∘ to the horizontal axis, the vector is →v=^i40cos60∘+^j40sin60∘.

The resultant vector →w is the vector sum of the vectors, i.e.

→w=→u+→v

=^i20+^i40cos60∘+^j40sin60∘

=^i(20+40cos60∘)+^j(40sin60∘)

=^i40+^j20√3

For a vector ^ix+^jy, the magnitude of the vector is √x2+y2 and the direction above the horizontal axis is θ=tan−1(yx).

Let's use the formulas:

|→w|∠θ=√(40)2+(20√3)2∠tan−1(20√340)≈52.9∠40.9∘

The magnitude of the vector is about 53 units in the direction 41-degrees above the horizontal axis.

The magnitude of the resultant vector would be 60 units, and its direction will be 0°.

To find the magnitude and direction of the resultant vector when adding vectors u and v, we can use vector addition formulas:

Magnitude of the Resultant Vector (R):

R = √(u^2 + v^2 + 2uv * cosθ)

where:

u = magnitude of vector u (20)

v = magnitude of vector v (40)

θ = angle between vectors u and v (60°)

Plugging in the values:

R = √(20^2 + 40^2 + 2 * 20 * 40 * cos(60°))

≈ √(400 + 1600 + 1600)

≈ √3600

= 60

Direction of the Resultant Vector (θR):

Use the Law of Cosines to find the angle θR between the resultant vector R and vector u:

cosθR = (v^2 + R^2 - u^2) / (2 * v * R)

Plugging in the values:

cosθR = (40^2 + 60^2 - 20^2) / (2 * 40 * 60)

= (1600 + 3600 - 400) / 4800

= 1

Since cos(0°) = 1, we have θR = 0°.

So, the magnitude of the resultant vector is 60 units, and its direction is 0°.

To know more about  magnitude

https://brainly.com/question/25302603

#SPJ3

Answer:

When insulating materials rub against each other, they may become electrically charged . The material that gains electrons becomes negatively charged The material that loses electrons is left with a positive charge

Explanation:

This completes the parallel circuit with three resistors connected to a 12V battery. So, the equivalent resistance of the circuit is approximately 2.202 ohms.

To find the equivalent resistance of a parallel circuit with three resistors, you can use the formula:
1 / Req = (1 / R1) + (1 / R2) + (1 / R3)
Given the resistor values:
R1 = 5 ohms
R2 = 7 ohms
R3 = 9 ohms
Let's calculate the equivalent resistance:
1 / Req = (1 / 5) + (1 / 7) + (1 / 9)
1 / Req = 0.2 + 0.14286 + 0.11111
1 / Req ≈ 0.45397
Now, to find the equivalent resistance, take the reciprocal of this value:
Req = 1 / 0.45397
Req ≈ 2.202 ohms
So, the equivalent resistance of the circuit is approximately 2.202 ohms.
As for the sketch of the circuit, unfortunately, I am unable to draw here, but I can describe it for you:
1. Connect the positive terminal of the 12V battery to a junction point.
2. From this junction point, connect three separate wires to the first ends of each resistor (5, 7, and 9 ohms).
3. Connect the second ends of all three resistors to another junction point.
4. Finally, connect this second junction point to the negative terminal of the 12V battery.
This completes the parallel circuit with three resistors connected to a 12V battery.

For more such questions on resistors , Visit:

https://brainly.com/question/28135236

#SPJ11

As a submarine commander, if you want to avoid the effect of 300 ft (91 meters) wavelength storm waves, you would need to dive to a depth of at least 152 meters (500 feet). This is because waves lose energy as they travel through the water, and the longer the wavelength, the deeper they penetrate.

Therefore, a 300 ft wavelength storm wave would lose most of its energy at a depth of around 152 meters (500 feet).

Diving to this depth would require careful consideration of several factors, including the safety of the submarine and its crew, the ability to navigate in deep waters, and the impact on mission objectives. It is also important to note that while diving to this depth may provide some protection against storm waves, it does not completely eliminate the risk of encountering dangerous conditions at sea. As such, it is critical for submarine commanders to remain vigilant and adaptable in responding to changing weather and ocean conditions.

To know more about submarine commander click this link-

https://brainly.com/question/972327

#SPJ11

Answer:

Work done = force x distance moved

180 x 10 = 1800 N Explanation:

A powerlifter lifts a 180 kg bar from the floor to above his head gravitational field strength = 10 N/kg, the work done by the powerlifter in lifting the bar is 3780 Joules.

To calculate the work done by the powerlifter in lifting the bar:

Work = Force × Distance × cos(θ)

Here, it is given that:

Force = the constant force applied by the powerlifter

Distance = 2.1 m

θ = 0° (since the force is applied vertically upwards and the displacement is also vertical)

Now, we need to determine the force applied by the powerlifter. We know the weight of the bar, which can be calculated using the formula:

Weight = mass × gravitational field strength

So,

Weight = 180 kg × 10 N/kg = 1800 N

Since the powerlifter applies a constant force equal to the weight of the bar, the force is 1800 N.

Substituting the values into the work formula:

Work = 1800 N × 2.1 m × cos(0°)

Since cos(0°) is equal to 1, the equation simplifies to:

Work = 1800 N × 2.1 m × 1

Work = 3780 Joules

Thus, the work done by the powerlifter in lifting the bar is 3780 Joules.

For more details regarding work done visit:

https://brainly.com/question/2750803

#SPJ5

Your question seems incomplete, the probable complete question is:

A powerlifter lifts a 180 kg bar from the floor to above his head.gravitational field strength = 10 N/kg The powerlifter uses a constant force to lift the bar a distance of 2.1 m.

Calculate the work done.

Answer:

Angular acceleration, \(\alpha =0.64\ rad/s^2\)

Explanation:

Given that,

Initial angular velocity, \(\omega_i=4.67\ rad/s\)

The final angular velocity, \(\omega_f=7.37\ rad/s\)

Time, t = 4.2 s

We need to find her average angular acceleration  during this time interval. Acceleration is the rate of change of velocity. So,

\(\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.37-4.67}{4.2}\\\\\alpha =0.64\ rad/s^2\)

So, her average angular acceleration is \(0.64\ rad/s^2\).

Transition from one phase to another, typically from a gas to a liquid or solid phase. When energy is released and a substance changes phases, the cooling curve will normally show a reduction in temperature.

A substance's temperature fluctuates when it is heated up, as seen by heating curves. The opposite is true with cooling curves. These demonstrate how the temperature shifts as a substance cools.

A substance's cooling curve is a graph that shows how its temperature changes over time as it is allowed to cool. The heat capacity is correlated with the cooling curve's gradient.

To know more about temperature visit:-

https://brainly.com/question/24276370

#SPJ1