A horizontal spring with spring constant 130 N/m is compressed 16 cm and used to launch a 2.2 kg box across a frictionless, horizontal surface. After the box travels some distance, the surface becomes rough. The coefficient of kinetic friction of the box on the surface is 0.15.
PART A
Use work and energy to find how far the box slides across the rough surface before stopping.

The skydivers are approximately 137.2 meters apart 8.0 seconds after the second skydiver jumps.

To determine the distance between the skydivers 8.0 seconds after the second skydiver jumps, we need to consider the vertical motion of the two skydivers.

Assuming no air resistance, both skydivers will experience free fall acceleration due to gravity, which is approximately 9.8 m/s^2.

Since the second skydiver jumps 2.0 seconds after the first skydiver, we can calculate their respective positions after 8.0 seconds using the equation of motion:

s = ut + (1/2)at^2

where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time.

For the first skydiver:

Initial velocity (u) = 0 m/s (since the skydiver jumps from rest)

Acceleration (a) = 9.8 m/s^2

Time (t) = 8.0 s

Using the equation, we can calculate the displacement of the first skydiver after 8.0 seconds.

s1 = (0)(8.0) + (1/2)(9.8)(8.0)^2

s1 = 0 + (1/2)(9.8)(64)

s1 = 0 + 313.6

s1 ≈ 313.6 m

For the second skydiver:

Initial velocity (u) = 0 m/s

Acceleration (a) = 9.8 m/s^2

Time (t) = 6.0 s (since the second skydiver jumps 2.0 seconds after the first)

Calculating the displacement of the second skydiver after 8.0 seconds:

s2 = (0)(6.0) + (1/2)(9.8)(6.0)^2

s2 = 0 + (1/2)(9.8)(36)

s2 = 0 + 176.4

s2 ≈ 176.4 m

To find the distance between the skydivers, we subtract the displacement of the second skydiver from the displacement of the first skydiver:

Distance = s1 - s2

Distance ≈ 313.6 m - 176.4 m

Distance ≈ 137.2 m

Therefore, the skydivers are approximately 137.2 meters apart 8.0 seconds after the second skydiver jumps.

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Answer:

Approximately \(176.58\; {\rm m}\) (assuming that \(g = 9.81\; {\rm m\cdot s^{-2}}\), both skydivers started with an initial velocity of zero, and that air resistance is negligible.)

Explanation:

Under the assumptions, each skydiver would be accelerating downward at \(a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}\). The initial velocity of both skydivers would be \(u = 0\; {\rm m\cdot s^{-1}}\).

At \(t\) seconds after the second skydiver jumps, the first skydiver would have been in the sky for \((t + 2.0)\) seconds. Apply the SUVAT equation \(x = (1/2)\, a\, t^{2} + u\, t + x_{0}\) to model the position of each skydiver:

Subtract the two expressions to find the distance between the two skydivers:

\(\begin{aligned}& \frac{1}{2}\, a\, (t + 2.0)^{2} + u\, (t + 2.0) + x_{0} -\left(\frac{1}{2}\, a\, t^{2} + u\, t + x_{0}\right) \\ =\; & a\, (2.0)\, t + \frac{1}{2}\, a\, (2.0)^{2} + u\, (2.0) \end{aligned}\).

Substitute \(a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}\), \(u = 0\; {\rm m\cdot s^{-1}}\), and \(t = 8.0\; {\rm s}\) into the expression and evaluate:

\(\begin{aligned}& a\, (2.0)\, t + \frac{1}{2}\, a\, (2.0)^{2} + u\, (2.0) \\ =\; & (-9.81)\, (2.0)\, (8.0) + \frac{1}{2}\, (-9.81)\, (2.0)^{2} + (0)\, (2.0) \\ \approx\; & -176.58\end{aligned}\).

In other words, the two skydivers would be approximately \(176.58\; {\rm m}\) apart.

Answer:

The diagram shows a net 2 N  in the north direction and 2 N in the east direction - this would result in (4 + 4)^1/2 to the northeast.

This statement is True, a gamma ray of wavelength 1.00 × 10–8 cm has enough energy to remove an electron from a hydrogen atom.

Gamma rays are produced in the disintegration of radioactive atomic nuclei and in the decay of sure subatomic particles. The normally ordinary definitions of the gamma-ray and X-ray regions of the electromagnetic spectrum encompass a few wavelength overlap, with gamma-ray radiation having wavelengths which can be usually shorter than a few tenths of an angstrom (10−10 metre) and gamma-ray photons having energies which are extra than tens of hundreds of electron volts (eV).

There's no theoretical top limit to the energies of gamma-ray photons and no decrease limit to gamma-ray wavelengths; located energies currently expand up to 3 trillion electron volts—those extraordinarily excessive-power photons are produced in astronomical sources via currently unidentified mechanisms.

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Answer:

2(3t-4)+3t=4t-2

This deals with linear equations with one unknowns

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Answer:

Usually, electrical conductors have loosely bound electrons. Materials that conduct heat are thermal conductors. ... Metals typically conduct both heat and electricity. Carbon conducts ​electricity as graphite, but insulates as diamond, so the form or allotrope of a material can be important

Both options C and D will apply torque to the nut, but without more information, it is uncertain which force will apply the greatest torque.

To determine which force will apply the greatest torque to the nut, we need to consider the perpendicular distance between the force and the axis of rotation (center of the nut).

Based on the given options:

A. 90 degrees below the wrench handle: This force is directly below the axis of rotation, so it will not generate any torque.

B. 180 degrees left of the wrench handle: This force is in line with the axis of rotation, so it will not generate any torque.

C. 90 degrees at the corner of the wrench handle: This force is at a perpendicular distance from the axis of rotation, so it will generate torque.

D. 45 degrees from the corner of the wrench handle: This force is also at a perpendicular distance from the axis of rotation, so it will generate torque.

Among the given options, both C and D will apply torque to the nut.

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The question is -

A nut needs to be tightened with a wrench. which force shown in the figure will apply the greatest torque to the nut?

A. 90 degrees below of wrench handle

B. 180 degrees left of the wrench handle

C. 90 degrees at the corner of the wrench handle

D. 45 degrees from the corner of the wrench handle

Answer:

It is because the effort distance is greater than the load distance

Explanation:

As we know, Effort×effort distance = load × load distance

So when effort distance is increases,

The effort decreases

So when the spanner's handle is long

A tight knot can easily be opened by less effrot

I hope it helped

Answer:

before ed is greater than ld

Harrison realized that the watch had the potential to be the timekeeping solution to the longitude problem with a few tweaks.

Realizing this led to the creation of H4, which has a diameter of just 13 centimeters. One of the upgrades Harrison made was a larger than usual balance wheel, which is a feature of most pocket watches. It had a greater frequency, pulsing five times per second, or 18,000 times each hour. The watch had a tiny remontoir and a revised version of Harrison's temperature compensation from H3.

The only issue, if you can even call it that, was that H4 needed oiling. However, Harrison used a creative approach to reducing friction by installing jeweled bearings at various points.

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Answer:

11.1s

Explanation:

Given parameters:

Height of cliff  = 600m

Unknown:

How long it takes to hit the ground  = ?

Solution:

To solve this problem, we use one of the kinematics equation;

    H  = ut  +  \(\frac{1}{2}\)gt²  

H is the height

u is the initial velocity  = 0m/s

t is the time taken

g is the acceleration due to gravity

             600 = \(\frac{1}{2}\) x 9.8 x t²  

              600  = 4.9t²  

                 t²  = 122.5

                 t  = 11.1s

According to Plumbing 101 principles governing blood flow through the vessels, the statement "Flow depends on pressure difference, but not the absolute pressure" is true.

In the context of Plumbing 101 principles, blood flow through the vessels can be understood by applying the laws of fluid dynamics. According to these principles, the statement that holds true is that flow depends on pressure difference, but not the absolute pressure.

Pressure difference refers to the variance in pressure between two points in a fluid system. In the case of blood flow, it refers to the pressure difference between the point of origin (such as the heart) and the destination point (such as organs or tissues). The pressure difference creates a driving force for blood to flow from higher pressure regions to lower pressure regions.

While the absolute pressure at the origin and destination points may affect the overall pressure difference, it does not directly impact the flow rate of blood. Flow is primarily determined by the pressure difference rather than the absolute pressure at the specific points. Other factors, such as the diameter of the vessel, viscosity of the blood, and the resistance offered by the vessel walls, also influence blood flow.

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The radius of the prop blade of an airplane is determined as 4.25 m.

The radius of the prop blade of an airplane is calculated as follows;

a = v²/r

where;

r = v²/a

r = (875²)/(180,000)

r = 4.25 m

Thus, the radius of the prop blade of an airplane is determined as 4.25 m.

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The sonar computers receiving a reflection from the destroyer at a frequency of 19 kilo-hertz can report useful information about the motion of the destroyer. Specifically, the computer can determine the speed and direction of the destroyer based on the frequency shift of the reflected sound waves.

The sonar system works by sending out sound waves, which then bounce off of objects and return to the system. The frequency of the reflected sound waves is affected by the motion of the object that they bounce off of. In this case, the frequency shift of the reflected sound waves at 19 kilo-hertz can help the sonar computer determine the Doppler shift caused by the motion of the destroyer. This information can then be used to determine the speed and direction of the destroyer.
The computer uses the Doppler effect to make this analysis. The Doppler effect refers to the change in frequency of sound waves caused by the motion of the object emitting or reflecting the waves. In this case, the change in frequency of the reflected sound waves can be used to determine the motion of the destroyer.
In summary, the sonar computers can use the Doppler effect to analyze the reflection of sound waves from the destroyer and determine its motion, including its speed and direction.

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Answer:

25.13 ft

Explanation:

r = 4 feet

ω=0.25 revolution per minute

=1 revolution in  4 minutes  

total number of revolution N = 1 (in 4 minutes )

v=rω

distance traveled = 2×N×π×r

=2×1×π×4  

=8π

= 25.13ft in 4mins

The time taken by the cheetah to move at 25.0 mph is 3.04 seconds.

The acceleration of the cheetah, a = 10.0 m/s². The time interval for which the cheetah can maintain a constant acceleration is t = 1.30 seconds. Using the kinematic equation to find the final velocity of the cheetah, v = u + at where, u = initial velocity = 0 (starting from rest).

We will first convert the given speed to m/s units: 25.0 mph = 11.176 m/s. Now, substituting the known values in the equation above, we get, v = 11.176 m/s = 0 + 10.0 m/s² × 1.30 s. Solving for v, we get, v = 13.0 m/s. Next, using the kinematic equation to find the time taken by the cheetah to reach this final velocity, s = ut + ½at² where, s = displacement = 0 (as starting from rest and ending at rest)t = time taken.

Substituting the known values in the equation above, we get, 13.0 m/s = 0 + ½ × 10.0 m/s² × t²Solving for t, we get, t = √(2 × 13.0 m/s ÷ 10.0 m/s²)t = 3.04 seconds. Therefore, the time taken by the cheetah to move at 25.0 mph is 3.04 seconds.

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The force on the charge is 1.1×10⁻⁸ N.

Force can be defined as the product of the mass of a body and its acceleration

To calculate the force on the charge, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute the given values into equation 1

Hence, the force on the charge is 1.1×10⁻⁸ N.

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The X component was 13.4m and the Y component was 19.9m.

define magnitude ?

A crucial question in science is undoubtedly what is magnitude in physics. Magnitude is a term used to describe size or distance. We can connect the amount of the movement to the size and movement speed of the item.

The magnitude of a thing or a quantity is its size. A automobile moves at a quicker pace than a motorcycle, just like in terms of speed. In this situation, the car's speed is greater than the motorbike's. Let's now talk about what magnitude means in physics.

y=m sin(∅)

x=m cos(∅)

y=2+sin(56)=19.89

=19.89 ≈ 19.9m

x=2+cos(56)=13.42

=13.42≈13.4m

The X component was 13.4m and the Y component was 19.9m.

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All of the given options are correct as the velocity of each ball is transferred via collision

Given,

5 balls are placed one after the other

the velocity of the second ball is V0

if the second ball is given the velocity, it will rebound back and hit the first one. Also, all the other balls will undergo collision due to the velocity given to the second ball.

therefore, 5 collisions will take place

as the second ball collides with the 3rd one, its momentum is transferred to the 4th and will carry on to 5th ball and thus separation velocity of 5th and 1st ball will be the same.

Again, as the collision ends up with only 1st and 2nd ball being separated by velocity V0 , then other 3 balls remain stationary

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The new energy loss per day would be 15 kWh.

Loss of energy occurs as energy in a system moves from inside the system to outside it. This can occur in terms of temperature, movement, etc.

Fortunately, energy loss can be reduced to make the system more efficient, this is possible through strategies such as increasing insulated areas and controlling energy flux.

In the system presented we know the previous energy loss was 60kWh. But two strategies have been used to decrease it:

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Answer: 60mph

Explanation: He drives to Wisconsin and back so multiply both numbers by 2. Speed=distance divided by t

So 3840 divided by 64 is 60.

When atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.

Atoms can combine with each other through sharing of the electrons, donating the electrons etc. to make molecules.

When atoms combine by forming covalent bonds, the resulting collection of atoms is called a molecule. We can therefore say that a molecule is the simplest unit of a covalent compound.

Thus, when atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.

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The energy of the high energy neutron is 940.51 MeV.

Speed is nothing but the distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity with the SI unit meter/second.

We know that mass of the neutron m₀ = 939.6 MeV/c²

A high energy neutron is travelling at a speed of 18 million m/s.

Given that, v = 1.8 * 10⁷ m/s

The energy of neutron is calculated with the formula, m₀* c²/√(1 - v²/c²)

⇒ 939.6 * (3* 10⁸)²/√[1 - (1.8 * 10⁷)²/(3* 10⁸)²]

⇒ 940.51 MeV

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In terms of increasing radius, the order of the three stars with the same surface temperature would be: Star C (main sequence star), Star A (giant star), and Star B (supergiant star). This order is based on the evolutionary stages of stars, where main sequence stars have a smaller radius compared to giant stars, and supergiant stars have the largest radius.

The radius of a star is closely related to its evolutionary stage and mass. Main sequence stars, like Star C, are in a stable phase of hydrogen fusion and have a relatively smaller radius. Giant stars, like Star A, have exhausted their core hydrogen fuel and expanded in size, resulting in a larger radius compared to main sequence stars. Supergiant stars, like Star B, are even more evolved and have significantly larger radii due to various processes occurring in their cores.

Therefore, the increasing order of radius for the three stars with the same surface temperature would be Star C (main sequence), Star A (giant), and Star B (supergiant).

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Answer:

Explanation:

The work done by an object can be found by using the formula

From the question

force = 1,000 N

distance = 20 m

We have

workdone = 1000 × 20

We have the final answer as

Hope this helps you

The net force acting on the car is 6300 N

We will employ the following equation of kinematics

x = 1/2 at^2

which describes an object traveling in one dimension with a constant acceleration and an initial velocity of zero.

We know the displacement and the time elapsed so we may solve for the acceleration

40 = 1/2 a(3)^2

Solving for a yields

a = 8.89 m/s^2

Now, knowing the acceleration of the car as well as the mass of the car we can apply Newton's second law, which states

F(net) = ma

All we need to do is plug in our values for

m and a

F(net) = 710 x 8.89 = 6311.9 N

Considering the fact that our final answer should have only two significant digits, we will round to the nearest hundred:

F(net) = 6300 N

Hence, net force acting on the car is 6300 N

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Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

Explanation:

everything is there :v

The average emf induced in the coil is 0. 533 V. The average emf induced in the coil can be calculated using Faraday's law of electromagnetic induction. The formula for the average emf induced in a coil is given by:

E = N * (ΔΦ / Δt)

where E is the average emf, N is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the time interval.

In this case, the number of turns is 80, and the time interval is 0.0600 s. The change in magnetic flux can be calculated by finding the initial and final flux values.

The initial flux is given by Φ1 = B * A * cos(θ1), where B is the magnetic field, A is the area of the coil, and θ1 is the angle between the coil and the magnetic field.

The final flux is given by Φ2 = B * A * cos(θ2), where θ2 is 90 degrees since the coil is perpendicular to the field.

Substituting the values into the formula, we have:

\(E = 80 * (Φ2 - Φ1) / Δt\)

Calculating the values, we find:

\(Φ1 = (1.10 T) * (0.25 m) * (0.40 m) * cos(37.0°) = 0.536 WbΦ2 = (1.10 T) * (0.25 m) * (0.40 m) * cos(90°) = 0.110 WbΔΦ = Φ2 - Φ1 = 0.110 Wb - 0.536 Wb = -0.426 Wb\)

Substituting the values into the formula, we get:

E = 80 * (-0.426 Wb) / 0.0600 s = -0.568 V

Taking the absolute value, the average emf induced in the coil is 0.568 V or approximately 0.533 V.

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Answer:

Three (3).

Explanation:

The octet rule is a rule in chemistry that states that, chemical elements would either gain or loss electrons in their outermost shell in order to attain a stable electronic configuration i.e having eight (8) valence electrons in their outermost shell such as chemical elements found in group 8 (2-8-8) known as noble gas.

A phosphorus atom needs to gain three (3) electrons to achieve a full octet because the atomic number of phosphorus is 15 and as such it has the electronic configuration of 2-8-5 and needs three electron in order to become a stable element.