explain how the sum of heat and work can be a state function, even though heat and work are themselves not state functions.

When rain is falling vertically at 8m/s then the speed of the car is calculated to be 4.618 m/s.

The velocity of the raindrops adds to the velocity of the car to produce a velocity of the rain relative to the car.

As the surface becomes rougher, friction increases and on rainy days, we are more likely to slip because water acts as a lubricant between feet and the ground. Dry friction is converted to fluid friction by rainwater.  Rain drops have a uniform type of motion

Given rain is falling vertically with 8 m/s speed

and rain drop makes an angle of  30°

As we know that, tan∅ = V (horizontal) / V (vertical)

Hence,  V (horizontal)= tan ∅ *  V (vertical)

= tan (30° ) * 8

speed of the car​ = 4.618 m/s.

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To reduce the uncertainty in the measurement of the period in oscillation.

A mechanical device that oscillates swings from side to side. A peg-and-slot can convert it into a rotary motion (rotating in a circle). The similar technique can be used to convert rotary motion to oscillating motion.

Sine and cosine functions can be used to describe the motion of a simple harmonic oscillating system where the restoring force is directly proportional to that of the displacement and acts in the direction opposite to that of displacement. One illustration is a weight fastened to a spring. The weight is in equilibrium when it is at rest. If the weight is reduced, the mass is subject to a net restoring force (potential energy)

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The stick figure that is walking at a velocity of 1 m / s to the west is moving quickly relative to the ground than the stick figure that is walking at a velocity of 1 m / s to the east.

Vsg = Vsw + Vwg

Vsg = Relative velocity of stick figure wrt ground

Vsw = Relative velocity of stick figure wrt walkway

Vwg = Relative velocity of walkway wrt ground

Let the stick figure that is walking to the west be A and the stick figure that is walking to the east be B.

For A,

Vsw = - 1 m / s

Vwg = - 0.5 m / s

Vsg = - 1 - 0.5

Vsg = - 1.5 m / s

For B,

Vsw = 1 m / s

Vwg = - 0.5 m / s

Vsg = 1 - 0.5

Vsg = 0.5 m / s

The negative symbol indicates direction. So Vsg for A > Vsg for B

Therefore, the stick figure that is walking at a velocity of 1 m / s to the west is moving quickly relative to the ground than the stick figure that is walking at a velocity of 1 m / s to the east.

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Using the visual spectrum, we can distinguish between various light wavelengths.

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When the ball is caught, it is moving at a speed of 3 m/s. Distance/time is the formula for calculating speed.

You must time how long it takes from when the ball is released until the pin is struck using a stopwatch. By dividing the distance by the time, one may calculate the ball's speed.

The average speed, if it was 3 seconds,

would be 42/14, or 3 feet per second .

Build a launcher for balls. I made use of an exercise rubber band and the legs of a patio chair.

horizontally when you shoot the ball. For this to operate, the camera angle must be horizontal.

Calculate how long the ball has been in the air.

The ball's distance traveled should be measured.

Simply dividing the distance by the launch time yields the launch speed.

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The conservation of angular momentum is the reason that (nearly) all of them rotate in the same direction.

The nebular hypothesis is regarded as the most widely accepted theory of planetary creation. According to this theory, a massive molecular cloud several light-years across gravitationally collapsed to create the Solar System 4.6 billion years ago.

The nebular hypothesis states that our solar system arose at the same period as our Sun. The nebular hypothesis proposes that a spinning cloud of dust called a nebula, composed primarily of light elements, flattened into a protoplanetary disk and developed into a solar system made up of a star with orbiting planets .

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Answer:

Explanation:

c = 180

i have same problem and it work

(a) Since the separation is being tripled the force would go to 1/9 its original value if the charges remained constant because Coulomb's Law is an inverse square law. So, the new force is 10/9 N.

(b) because the pressure remains the equal and it became repulsive, initially, it will remain repulsive. One could also deduce this for the reason that the socks are equal.

Electrostatic repulsion can also be observed, for example, with an electroscope. It's a simple device consisting of a piece of metal sticking out of a glass jar and a thin metal leaf hanging inside. When the outer piece of metal touches the charged body, the Coulomb force causes the sheet to expand.

The repulsive force between oppositely oriented magnets. A compression material that repels the body on both sides. Repulsion is associated with involuntary vomiting such as in response to the ingestion of toxins.

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1.065 m / s is the average speed (in m/s) of the particle.

Circumference = 2[tex]\pi[/tex]r

238.14= 2 x 3.14159 x38 cm

238.14 x 17 rotations / 38seconds

= 106.53 cm / second

106.53 cm / 100 cm per meter

= 1.065 m / s

Average speed is the total distance travelled by an object during a certain time interval. Average speed is a scalar quantity. It is represented by size and has no direction.

The formula for average speed is found by calculating the ratio of the total distance travelled by a body to the time required to travel that distance.

The average speed equation is formulated as follows:

Total distance traveled / Total time travelled

[tex]{S_{AVG}}= \frac{D_{totale}}{T_{totale}}[/tex]

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Speed, temperature, and age are not vector numbers, whereas velocity and acceleration are vector quantities.

Vector is quantity has both magnitude and direction. It is represented by an arrow whose length is proportional to the quantity's magnitude and whose direction is the same as the quantity.

While a vector lacks position, it does have magnitude and direction. Since they have a magnitude and a direction, velocity and acceleration are both vector quantities.

An object is accelerating if its speed doesn't change but its direction does. It's critical to keep in mind that acceleration and velocity don't necessarily follow the same path.

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The silk can get a negative charge if it is rubbed against  iron rod and it can get a positive charge if it is rubbed against hair.

We know that a  charge is made when there is either an excess or a deficit of electrons. When there is an excess of the positive charge on an object, we can say that the object ha become positively charged. If there is an excess of negative charges, we can say that the material is negatively charged. We now want to determine how we could make silk to become positively or negatively charged.

If we want the silk to have a negative charge then we have to rub the silk with a glass rod. If the silk is rubbed with a glass rod, what would happen is that electrons would be transferred from the rod to the silk leaving the silk with a negative charge.

If you want the silk to have a positive charge, you could rub it against hair. In that way, the hair would get an negative charge while excess electrons are transferred to the silk making it to have a positive charge.

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Number of photons emitted per second are 2928.02×10²⁵

Photons, also called light quanta, are small energy packages of electromagnetic radiation. Photon energy depends on the frequency of the radiation. There are photons of all energies, from high-energy gamma rays and x-rays to visible light, low-energy infrared and radio waves. All photons travel at the speed of light. A photon, considered among sub-atomic particles, is a boson with no charge, no rest mass, and no spin unit. They are field particles that are thought to be carriers of the electromagnetic field.

For the given question:

Number of photons = power/energy

n = P/E

Power =  521 KW

Since energy is not given, we need to calculate it,

Using, E = h × f

Where, h = plank's constant (6.62607015×10⁻³⁴ J-Hz⁻¹)

f = frequency (849×10³ Hz)

Substitute the values in the equation for calculation of energy:

E = h × f

E = 6.62×10⁻³⁴ × 849×10³

E = 5620.38×10⁻³¹ J

E = 5.62×10⁻²⁸ J

Now, for number of photon:

n = P/E

n = 521×10³/5.62×10⁻²⁸

n = 2928.02×10²⁵ photons

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When a block slides at constant speed down a ramp while acted on by the forces.

A. True

B. False

C. False

The magnitude of dynamic friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The magnitude of static friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The normal force is not necessarily equal to gravity, but the force perpendicular to the surface on which the object is sliding.

In other words, the normal force is the force that pushes two surfaces together, and the stronger the normal force the stronger the frictional force. Another fairly common force is the frictional force. Similar to the normal force, it is caused by direct contact between surfaces. However, normal forces are always perpendicular to the surface while frictional forces are always parallel to the surface.

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the revolutions are about 116 revolutions

what is revolution?

A revolution is the movement of one thing around a centre or another object, the forcible overthrow of a government by the people, or any abrupt or large change.

Our solar system, which includes the sun, planets, and numerous asteroids, formed around 4.5 billion years ago. The gravitational collapse of a massive cloud and dust in space resulted in the formation of the solar system. This caused a disturbance in the cloud, causing clumps of gases to form due to gravity.

t=45.7s

α=116 revolutions

ω₀=32.o rad/s, ω=0

α=-0.700 r/s²

ω= ω0 +at

0=32.0r/s+ (-0.700r/s2)t

T= -32/-0.700

=45.7s

We use the equation below to find revolutions.

ω2= ω20 +2aα                        

substitute the values

0=(32)2 + 2(-0.7r/s2)α

α=731 rad

the rads are converted to revolutions:

α=731x1/2π

=116 revolutions

so the revolutions are about 116 revolutions

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A thick magnetic disk made of aluminum platters and It uses read/write heads to access data stored on the platters, that is correct statement.

Hard disk drives are thick magnetic disks made of aluminum platters, They use read/write heads to access data stored on the platters. They have up to several TB in storage capacity and their cost per MB is cheap. Solid state drive is a flash device with storage capacity similar to a small hard drive.

For operation point of view, Hard disk drives are bit slower than solid state drive are faster. so using a solid state drives devices are booted up fast. In case of price point of view, SSD devices are more costly than HDD.

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The average momentum of the avalanche was found to be 1.3×10^ 9 kg·m/s

what is momentum?

Momentum is the pace at which a security's price accelerates—that is, the rate at which the price changes. Momentum trading is a method that uses momentum to enter a trend while it is gaining traction.

Simply expressed, momentum is the tendency of a price trend to continue growing or dropping for a set period of time, taking into consideration both price and volume data. Momentum is commonly quantified using an oscillator in technical analysis and used to help detect trends.

Momentum is the quantity of motion of an item. If you know the object's velocity and mass, you can calculate its momentum. It will be simple once you understand the formula.

The average momentum of the above problem was 1.3 x 10^9Kg.m/s

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The curvature radius of the lens surface is 0.1089 meters.

The convex lens is a lens that converges rays of light that convey parallel to its fundamental axis (i.e. converges the incident rays toward the main axis) which is highly thick throughout the middle and skinny at the decrease and higher edges. the edges are curved outward in preference to inward.

Calculation:-

Since the double convex is symmetric in nature,

R₁ = R

R₂ = - R

Given, Refractive index (n) = 1.33

The focal length of the double convex lens (l) = 0.156

Now,

1/f = (n-1) (1/R₁ - 1/R₂)

1/f = (n-1) (1/R + 1/R)

1/f = (n-1) × (2/R)

R = 2(n-1)f

   = 2 × (1.33 - 1) × 0.165 meter

   = 0.1089 meter

Hence, the radius of curvature of the lens surface is    = 0.1089 meter

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The initial speed of the projectile launched at an angle of 30 above the horizontal from the top of a 10m high cliff is 34.2 m / s

According to equations of motion,

s = u t + 1 / 2 at²

s = Displacement

u = Initial velocity

t = Time

a = Acceleration

H = 10 m

t = 4 s

θ = 30°

g = 9.8 m / s²

Here the object is launched art an angle from a height. So,

s = - H = - 10 m

u = uy

While considering vertical motion,

a = - g = - 9.8 m / s²

- H = uy t - 1 / 2 g t²

- 10 = 4 uy - 1 / 2 * 9.8 * 4²

4 uy = 68.4

uy = 17.1 m / s

sin θ = uy / u

u = 17.1 / sin 30°

u = 34.2 m / s

Therefore, the initial speed of the projectile is 34.2 m / s

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The kind of electronic transitions that is responsible for colored light being given off is called emission.

Emission is the discharge of something, particularly radiation or gas. Emission spectrum or line spectrum is the given off of electromagnetic radiation when an electron transits from a higher energy level to a lower energy level. During the course of transition from one level to another, energy generated are emitted in the form of white light by the atoms and molecules. When electrons in the ground state of an energy level is heated, it rises to a higher energy level. It thus releases energy quickly to maintain a balanced state or go back to the ground state. If the energy released is equal to the energy that produces white light, it will form colored light.

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A 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, the tension in the string will be   37.8N

from Newton’s second law we get :

Tension force – f k = mass * acceleration         equation 1

Tension force –f k = 5.00 * a

Similarly, for the 9.00−kg mass,

 mg - Tension force  = mass * acceleration

 9.00 * g–Tension force = 9.00 * a

Adding these two equations gives:

      9.00 *9.80 − 0.2 * 5  * 9.8 =   14 a

a=5.6 [tex]m/s^{2}[/tex]

substituting this into  equation 1

Tension = 5.00* 5.60 + 0.200 * 5.00 * 9.8 = 37.8N

The tension in the string will be  37.8N

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The Fahrenheit setting, since 1 degree Fahrenheit is smaller than 1 degree Celsius.

For general use, a straightforward formula exists to convert temperatures from Fahrenheit to Celsius. Just subtract 30 from the Fahrenheit value, and then divide that result in half.

Most objects we measure including length, width, time, and other dimensions—have one thing in common: their values all begin at zero. Zero of any of those units may be converted into another sort of unit quite easily because we all know exactly how long zero centimeters or inches are. Inches, metres, and centimetres all equal zero. As an illustration, let's use inches and centimetres. To move from 0 inches to 1 inch, we need to add 1 inch. This much is clear.

Similarly, we just need to add 1 centimetre to go from 0 centimetres to 1 centimetre. The quantity of space we are adding is the only distinction between adding one inch or one centimetre. One inch is 2.54 centimeters, according to the connection between the two units.

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The acceleration of the car is - 7.08 m/s².

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Initial velocity of the car; u = 32.78 m/s.

Take taken to stop it; t = 4.63

Then, the acceleration of the car: a =( final velocity - initial velocity) /time

= (0 - 32.78)/4.63 m/s².

= - 7.08 m/s².

Negative sign indicates that the velocity is decreasing at that rate.

So, the acceleration of the car is - 7.08 m/s².

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compared to a solid wire of the same gauge, stranded wire is more susceptible to interference.

A solid wire consists of a solid metal core while stranded wires are made of a quantity of thinner wires that are twisted together into an organized bundle.

But because of the bundle feature of the stranded wires, they have more surface areas in comparison to the solid wires, so there is more chances to have dissipation in this type of wires, specially when high frequency current is being passed.

Due to more dissipation it is more likely to have interference.

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Using the concepts of work, we got that we need to work three times of the previous work to accelerate the object from a speed v to a speed 2v.

We know that to change the velocity of any object we need to do some work on it.

When an object having some mass m moving with velocity v, then the kinetic energy stored in that object is given by(KE₁) =(1/2)mv².

Now, When an object having some mass m moving with velocity 2v,then the kinetic energy stored in that object is given by(KE₂) =(1/2)m(2v)².

New kinetic energy is =4[(1/2)mv²] or 4KE₁

So, net work to accelerate the object is =KE₂-KE₁

                                                               W=4KE₁-KE₁=3KE₁.

Hence,  the amount of  work must be done by an external force on an object (sliding over a frictionless, horizontal surface) to accelerate the object from a speed v to a speed 2v is 3 times the energy stored on a object.

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The net force required to accelerate a car is 6000 N.

Force is defined as the product of the mass and acceleration of the body. Force is used to changing the velocity that is to accelerate an object or a body of a particular mass. The unit of Force is Newton or kg m/s^2.

The formula used to calculate the net force is :

F = ma

where, F = Force

m = mass = 2000 kg

a = acceleration = 3.00 m/s^2

∴ F = 2000*3

F = 6000 N

Thus, to accelerate the car at 3.00 m/s^2 of mass 2000 kg net force required is 6000 N.

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The current in the tile is 0.11 ampere.

The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Due to not following vector law of addition, current is  a scalar quantity.

Given parameters:

Potential difference: V = 40 V.

The power output: P = 4.4 W.

We have to find, the current in the tile; I =?

We know that, power output = current × Potential difference

So, the current in the tile = power output /Potential difference

= 4.4/40 ampere.

= 0.11 ampere.

Hence the current in the tile is 0.11 ampere.

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The water pressure as it exits into the air is P2 = Patoms

b) The height, h of the standing column of water is 4.6m

By Bernoulli's principle,

p1 - p2 = ρgh

h = 45 × [tex]10^{3}[/tex] / 1000 × 9.8

h = 4.6m

The relationship between a fluid's speed and pressure is described by Bernoulli's principle, which at first glance seems paradoxical. Many people think that Bernoulli's principle shouldn't be true, but this may be because they don't grasp what Bernoulli's principle actually states. According to Bernoulli's principle, which is stated below: Higher fluid velocity sites will experience less pressure than slower fluid velocity points inside a horizontal fluid flow. Thus, in a horizontal water pipe with a variable diameter, areas of fast-moving water will experience lower water pressure than areas of slow-moving water Since many individuals equate high speeds with high pressures, this may seem paradoxical to them. However, we'll demonstrate in the following section that this is really another way of expressing that water will accelerate if there is greater pressure behind it than in front of it. We will explain how Bernoulli's concept came to be, illustrate it in greater detail, and attempt to lessen its mystique in the part that follows.

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The angular acceleration of the wheel is -20.25 rad/sec^2

Angular acceleration is defined as the rate of change of angular velocity over time.

so, α = 2*(θ  -  ωo t ) / t^2

angular velocity of the wheel = ωo  = 96.0 rad/sec

time taken by the wheel to rotate = t = 7 sec

angular distance travelled by the wheel  = θ 28 rev

As we know that,

In one revolution the wheel completes 360 degrees which is equals to  6.28319 rad

therefore angular distance traveled = 28 rev * 6.28319 rad

So, the angular acceleration = 2*(28*6.28 -  96*7) / 7^2 = -20.25 rad/sec^2

The question is incomplete, the complete question is 'A rotating wheel requires 7.00 s to rotate 28.0 revolutions. its angular velocity at the end of the 7.00-s interval is 96.0 rad/s. what is the constant angular acceleration (in rad/s) of the wheel?'

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5ohms is the resistance of the brake light in ohms.

Resistance is the degree to which a substance obstructs or opposes an electric current. Electric current is the flow of electrons. To better understand resistance, imagine how difficult it would be for a person to move from one shop to another in a crowded market.

The following is the equation to use Ohm's Law to compute resistance: R = V I, where R is the resistor's resistance expressed in ohms () and V is the voltage drop expressed in volts.

POWER(watts) = VOLTAGE * AMPERAGE

AMPERAGE = POWER(watts) / VOLTAGE

AMPERAGE = 30/12 = 2.5

RESISTANCE(ohms) = VOLTAGE / AMPERAGE

R = 12/2.5 = 4.8ohms

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Answer:

5.102 m/s

Explanation:

50/9.8=5.102m/s