15. A car moving at a speed of 48.0 km/h accelerates 100.0 m up a steep hill, so that at the top of the hill its speed is 59.0 km/h. If the car's mass is 1100 kg, what is the magnitude of the net force acting on it?

Answers

Answer 1

The magnitude of the net force acting on the car is 33.66 N.

What is the net force?

To calculate the net force acting on the car, we can use the formula:

Force = mass x acceleration

where acceleration can be calculated using the change in velocity. To convert the velocity units to SI units, we first convert km/h to m/s:

[tex]48.0 km/h = (48.0 x 1000/3600) m/s = 13.33 m/s\\59.0 km/h = (59.0 x 1000/3600) m/s = 16.39 m/s[/tex]

The change in velocity is then given by:

[tex]Δv = v_f - v_i = 16.39 m/s - 13.33 m/s = 3.06 m/s[/tex]

The acceleration can then be calculated as:

a = Δv / Δt

where Δt is the time taken to cover the 100 m distance. We can assume this to be a constant, so:

[tex]a = Δv / Δd = 3.06 m/s / 100 m = 0.0306 m/s^2[/tex]

Finally, the net force can be calculated as:

Force = [tex]m x a = 1100 kg x 0.0306 m/s^2 = 33.66 N[/tex]

The magnitude of the net force acting on the car is 33.66 N.

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Related Questions

a load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is:

Answers

A load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is P=5529.61W

Z₁ = 60+j80

I=96/30 A

VL= 2. ZL= (9.6(30) 60+j80)

V₁ =(19.6/30") (100|53.136)

Vl=960 (83.130) V

power absorbed by Land

= (960) (9.6) cos(83.136 - 30°)

P=5529.61W

Real power is the amount of energy that is actually consumed by the resistive load, whereas perceived power is the amount of energy that the grid must be able to handle. Real power is measured in watts, but apparent power is measured in VA (Volt Ampere),

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what is the peak wavelength of energy radiated by a planetary body with surface temperature near 10 °c, like the earth

Answers

The peak wavelength of energy radiated by a planetary body with a surface temperature near 10°C, like Earth, is around 10 micrometers.

The amount of energy radiated by a body is related to its temperature, and the peak wavelength of that energy is a characteristic of the temperature. The relationship between the peak wavelength and temperature is described by Wien's law, which states that the peak wavelength of energy radiated by a black body is proportional to the reciprocal of its temperature in kelvin.

Since the surface temperature of Earth is around 10°C, or 283 kelvin, the peak wavelength of energy radiated by Earth can be calculated as:

Peak wavelength (in micrometers) = 2.898 * 10^-3 / T

Where T is the temperature in kelvin. Plugging in the temperature of Earth gives us a peak wavelength of around 10 micrometers.

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a mobile robot is facing y direction. where b =20cm is the distance along the axle between the centers of the t wo wheels. r1 and r2 are the diameters of the two wheels. w l and wr are

Answers

w1 and wr are the angular velocities will be the correct answer .

What is Distance ?

Distance is a scalar quantity that describes the amount of space between two points. It is usually measured in units of length, such as meters, kilometers, or miles. Distance can be calculated as the magnitude of the displacement vector, which is the difference between the initial and final positions of an object.

In physics, distance can be used to describe the length of a physical object, the distance between two points in space, or the length of a path taken by an object. In mathematics, the concept of distance is often used in geometry and can refer to the length of a line segment, the shortest distance between two points, or the distance between two shapes.

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A stone is tossed vertically upward with an initial velocity of 25 ft/s from the top of a 30-ft building.(a)What is the height of the stone after 0.25 s

Answers

Answer:

H = V0 t - 1/2 g t^2        height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

The elevation of the stone following 0.25 seconds is 36 meters above the ground, as shown by the question.

We estimate beginning velocity because...

To separate the enzyme's impact from the uncatalyzed action. Since enzymes are permanently destroyed throughout catalysis, it is necessary to determine the reaction's rate with a known [E]T. to calculate the reaction's speed using a given [S] before it starts to alter noticeably over time.

H = V0 t - 1/2 g t^2       height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

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The sound intensity 60 m from a tornado siren is 0. 10 w/m2. What is the sound intensity level 600 m from the siren, in db.

Answers

The sound intensity level 600m from the siren in db is 0.001w/m² if the sound intensity 60 m from tornado is 0.10w/m².

Sound intensity, otherwise called acoustic power, is characterized as the power conveyed by sound waves per unit region toward a path opposite to that area. The SI unit of sound intensity, which incorporates sound force, is the watt per square meter (W/m²). One application is the commotion estimation of sound power in the air at an audience's area as a sound energy amount.

We know that power output is given =4π×I×r² where I is the sound intensity,and r is the distance upto which sound radiates.

So,firsly we find power output because it will remain same.

So,P=4×π×0.10×60×60--------(eq1)

Now,we need to find sound intensity using the above equation,so,we get

=>P=4×π×I×600×600

=>4×π×0.10×60×60=4×π×I×600×600

=>I = (4×π×0.10×60×60) / 4×π×I×600×600

=>I=0.1/100

=>I=0.001w/m².

Hence,sound intensity level is 0.001w/m².

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tide tables are produced by taking measurements of past observed tide levels and comparing them to a tidal datum. the tidal datum, or zero tide, used along the california coast is the:

Answers

The tidal datum or zero tide used along the California Coast is the mean higher low water.

A tidal datum is a standard elevation that is determined by a certain tide phase. Tide datums are used as a standard for measuring local water levels, they shouldn't be extrapolated to places with different oceanographic features without supporting data.Tidal datums and associated data are used to provide the goods and services required for safe navigation, the reduction of coastal hazards, ecological study, coastal engineering and the delineation of maritime boundaries.

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let v = { 0} consist of a single vector 0 and define 0 0 = 0 and co = 0 for each scalar c in f. prove that v is a vector space over f.

Answers

Let V = {0} consist of a single vector 0, and

define 0+0 = 0 and c0 = 0 for each scalar c in the

field F.

There are two operations on the set. All we have is

must validate each of the eight axioms.

VS1. The addition of commutativity. Indeed, x+y does

given that both are 0 and the sole vector in

the area.

The same justification holds true for VS2 and

from VS5 to VS8. Each axiom is a formula that

claims that one vector is equivalent to another, but since

only one vector, 0, is present, and both sides have it.

to act as the vector.

Axiom VS3 is slightly unique in that it states

that a vector 0 has a specific characteristic

However, V contains a vector of this type, namely 0. Likewise

Axiom VS4 states that there is a vector y for every vector x.

for x + y to equal 0.

Assume that y is 0, and that equation is true (since all vectors equal 0).

It is a vector space over F as a result.

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what happens when a free negative charge is released into an electric field

Answers

A negative charge will move: A. from low to high potential if it is released into a steady electric field.

What does "electric" mean in Greek?

The Greek word "elektron" is where the word "electricity" originates. Amber, a golden or reddish-brown stone used in jewelry, is the definition of the term electron. Rubbing amber caused it to produce an electrical charge that made it possible to lift lightweight materials like straw and feathers.

What does the word electric mean in a sentence?

How to effectively use the word "electric" This week, I paid the power and water bills. He was riding his electric bike around, so I know it's him. Her heart began to race as a result of his touch, which felt electrifying.

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why it is important to use the wavelength, where the maximum absorption occurs, during the spectrophotometric measurement?

Answers

Using the wavelength of maximum absorption is important in spectrophotometry because it helps to increase the accuracy and sensitivity of the measurement.

The amount of light absorbed by a sample is proportional to its concentration, so spectrophotometry is a useful tool for determining the concentration of a substance in solution. However, not all wavelengths of light are absorbed equally by a sample, and the absorption varies depending on the chemical properties of the substance. By using the wavelength of maximum absorption, the measurement is optimized to detect the maximum amount of light that the sample will absorb, increasing the accuracy of the results. Additionally, using the wavelength of maximum absorption can help to minimize interference from other substances in the sample and improve the sensitivity of the measurement.

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do experimental measurements give the true value of a physical quantity? explain.

Answers

Experimental measurements don't necessarily reflect a physical quantity's genuine value. The ideal or theoretical value of a physical quantity, which is never perfectly measurable in reality, is that quantity's true value.

When a physical quantity is measured, it is always subject to a variety of causes of error, including the constraints of the measuring device, the environment, operator error, and random fluctuations.

The most that can be done is an estimation of the true value, which is expressed as a measured value with a corresponding uncertainty. The range of values that can be logically regarded as the actual value of the quantity being measured is reflected in the uncertainty. The accuracy of the measuring device, the operator's expertise, and the repeatability of the measurement process are all elements that influence the measurement's uncertainty. In conclusion, experimental measurements provide an estimate of a physical quantity's real value rather than the actual value.

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it is assumed that the density of water is 1000 kg/m3. if the specific gravity of mercury is 13.6, what is the density of mercury? multiple choice question. 0.00136 kg/m3 13.6 kg/m3 1360 kg/m3 1.36 kg/m3 13600 kg/m3

Answers

The density of mercury is 13,600 kg/m³.

The density of a substance is the ratio between the mass of a substance to the volume of the substance. The specific gravity of a substance or relative density of a substance is the ratio between the density of a substance to the density of water.

SG of a substance = ρ of a substance ÷ ρ water

SG = specific gravity
SG mercury = 13.6ρ = density (kg/m³)
ρ water = 1,000 kg/m³

The specific gravity of a substance is also the ratio of the mass of a substance to the mass of water. The volume of a substance is equal to the volume of water.

SG mercury = ρ mercury ÷ ρ water

13.6 = ρ mercury ÷ 1,000

ρ mercury = 13.6 × 1,000

ρ mercury = 13.600 kg/m³

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at t = 1.5 s , what is the value of y at x = 10 cm ?

Answers

The requried, value of y at x = 10 cm is zero (implies the object is at rest).

To provide the value of y at x = 10 cm and t = 1.5 s, we need additional information about the specific equation or function that relates y and x, as well as any given initial conditions or boundary conditions.

From the given graph, it can be seen that,
At x = 10; y = 0 (implies object is at rest)

This describes the situation in that the object whose positions have shown through the graph is at rest at x = 10 (velocity becomes 0).

Thus, the requried, value of y at x = 10 cm is zero.

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The M9 serivce pistol failing to eject the cartridge is called which type of stoppage?

Answers

The M9 service pistol failing to eject the cartridge is called Stovepipe.

When an empty cartridge case gets caught partway out of the ejection port instead of being thrown clear, it causes a stovepipe or smokestack in bolt-action, pump-action, semi-automatic, and fully automatic firearms that fire from a closed bolt.
Stovepipes are caused by insufficient cycling and incomplete ejection. Possible causes include: "Limp-wristing" is the practise of holding the gun so loosely that it almost points straight up during recoil. This prevents the slide from fully cycling.
The round was not loaded with enough powder to properly cycle the action, and the empty shell is now trapped between the slide and the chamber. The grip on the gun was insufficient to keep it steady as the action cycled after the shot.

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What is 8 degrees Celsius in Fahrenheit?

Answers

8 degrees Celsius is equal to 46.4 degrees Fahrenheit when converting temperatures from degrees Celsius to Fahrenheit.

Is a refrigerator safe at 8 degrees Celsius?

Between 32 degrees Centigrade and 41 degrees Fahrenheit, or 0 degrees Celcius with 5 degrees Celcius, should be the temperature of the refrigerator's coldest portion. To determine whether food has been kept warmed (above 63 degrees Celsius) or cold (below 8 degrees Celsius), you might use a probe thermometer.

How cold can a person tolerate?

The most susceptible body parts to frostbite are the fingertips, nose, ears, toes, cheeks, and chin, so use as much protection as you can. How cold is too cold? When the windchill drops below 0 degrees Celsius or the temperature drops below zero, experts generally advise staying inside.

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determine the magnitude of the resultant of the two forces acting at point a . express your answer to three significant figures and include the appropriate units.

Answers

According the diagram, the magnitude of resultant force at A was found to be 1183N.

Calculation:

First, we have to calculate the position vectors of all the point symbols:

Position vector of A= 0i+ 0j+ 6k

Position vector of B= 3i- 2j+ 0k

Position vector of C= 2i+ 3j+ 0k

Vector AB is formed by

Vector AB= Position vector of B - Position vector of A= (3i- 2j+ 0k) – (0i+ 0j+ 6k)= 3i- 2j- 6k

Magnitude of Vector AB= √(i^2+ j^2+ k^2) = √(3^2 +2^2 +6^2)= 7

Univector of AB= UAB = Vector AB/ Magnitude of Vector AB= (3i- 2j- 6k)/7 = 0.429i- 0.28j- 0.857k

Magnitude of force at B= 840N

Cartesian vector form of AB= (Magnitude of force at B)*( Univector of AB)= 840*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AB= 360i- 240j- 720k

Similarly for vector AC,

Vector AC= Position vector of C - Position vector of A= (2i- 3j+ 0k) – (0i+ 0j+ 6k)= 2i+ 3j- 6k

Magnitude of Vector AC= √(i^2+ j^2+ k^2) = √(2^2 +3^2 +6^2)= 7

Univector of AC= UAC = Vector AC/ Magnitude of Vector AC= (2i+ 3j- 6k)/7= 0.286i- 0.429j- 0.857k

Magnitude of force at C= 420N

Cartesian vector form of AC= (Magnitude of force at C)*(Univector of AC)= 420*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AC= 120i+ 180j- 360k

With the two Cartesian vector forms, we can calculate resultant force at A= (120i+ 180j- 360k) + (360i- 240j- 720k)= 480i- 60j- 1080k

Magnitude of resultant force at A= √ (i^2+ j^2+ k^2)= 1183N

Complete question: attached in document

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State laws of conservation and energy and prove it in case of a freely falling body​

Answers

According to the law of conservation of energy, energy cannot be created or destroyed. Energy changes into different forms, and potential energy plus kinetic energy equals a constant.

The physical energy of the system is conserved in the scenario of a freely falling body. The kinetic energy (K) and potential energy (U) of the freely falling body are added to form mechanical energy (E).

Thus, E = K + U = constant.

Potential energy is the opposite of the work performed by a force that affects the body. In the case of earth's gravity, the potential energy of a body with mass m and height h is given by the equation:

PE = mgh.

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A small metal sphere with charge 1.2×10−5C is touched to an identical neutral sphere and then placed 0.15m from the second sphere. What is the electric force between the two spheres?

Answers

A small metal sphere with charge 1.2×10−5C is touched to an identical neutral sphere and then placed 0.15m from the second sphere. 3.33 x 10^-7 N is the electric force between the two spheres.

The electric force between two charged spheres can be calculated using Coulomb's equation, which states that the force between two point charges is directly proportional to the product of the inversely proportional to the square of the separation between them and charge.

=> F = k.q1.q2 ÷ r^2

here F is force between the two spheres,

k is Coulomb constant (8.99 x 10^9 N x m^2 / C^2),

q1 and q2 are magnitudes of charges on two spheres,

r is distance between their centers.

In this case, the two spheres have charges of

=> q1 = 1.2 x 10^-5 C

=> q2 = 1.2 x 10^-5 C,

they are separated by a distance of,

=> r = 0.15 m.

=> F

= k x q1 x q2 / r^2

= 8.99 x 10^9 N x m^2 / C^2 x 1.2 x 10^-5 C x 1.2 x 10^-5 C / (0.15 m)^2

= 3.33 x 10^-7 N

Hence, the electric force between the two spheres is 3.33 x 10^-7 N.

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8. A railroad car slams into another railroad car
and couples together. What is the combined
speed of the railroad cars after the collision?
M=4000 kg
v=2 m/s
Before
After
M=6000 kg
v=0m/s

Answers

Answer:

the combined speed of the two railroad cars after the collision is 4/3 m/s.

Explanation:

The combined speed of the two railroad cars after the collision can be calculated using the conservation of momentum principle.

Let's assume the combined speed of the cars after the collision is v'. Then, using the equation for momentum, p = m * v, where m is the mass of each car and v is the velocity of each car, the momentum of each car before and after the collision can be calculated as:

Before the collision:

m1 = 4000 kg, v1 = 2 m/s

p1 = m1 * v1 = 4000 kg * 2 m/s = 8000 kg m/s

After the collision:

m2 = 6000 kg, v2 = 0 m/s

p2 = m2 * v2 = 6000 kg * 0 m/s = 0 kg m/s

Since momentum is conserved, the momentum before the collision must equal the momentum after the collision:

p1 = p2

So,

8000 kg m/s = 6000 kg * v'

Solving for v', we find that:

v' = 8000 kg m/s / 6000 kg = 4/3 m/s

Therefore, the combined speed of the two railroad cars after the collision is 4/3 m/s.

an experiment must have a placebo group in order to be valid. True or False

Answers

The given statement "an experiment must have a placebo group in order to be valid" is not true because not all experiments require a placebo group in order to be considered valid.

A placebo group is used in some experimental designs to control for the placebo effect, where a participant's expectations or beliefs about a treatment can influence the outcome. However, there are many other experimental designs that do not require a placebo group, such as observational studies, crossover studies, and randomized controlled trials. The appropriate design depends on the research question being asked and the type of treatment being tested.

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How do you calculate grams to atoms?

Answers

To calculate grams to atoms are mentioned below.

What is atom?

A substance's tiniest component that cannot be destroyed chemically. A proton (a positive particle) and a neutron (a neutral particle) make up the nucleus (center) of each atom (particles with no charge). The nucleus is filled with negative electrons. Chemical reactions cannot generate or destroy atoms since they are indivisible particles. The mass and chemical makeup of an element's atoms are the same. The masses and chemical characteristics of atoms differ amongst elements.

What is gram ?

The International System of Units (SI) defines the gramme as one thousandth of a kilogramme of mass. The gramme was the name given to it at first. This cap for a pen weights about one gramme.

Therefore, calculate grams to atoms are mentioned below.

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do experimental measurements give the true value of a physical quantity? explain.

Answers

Due to the possibility of error, experimental measurements do not give the true value of a physical quantity

Do experimental measurements give the true value of a physical quantity?

Experimental measurements are always subject to error, and as a result, they do not give the "true" value of a physical quantity. Instead, experimental measurements provide an approximation of the true value, which is influenced by many factors such as the precision and accuracy of the measurement apparatus, environmental conditions, and observer bias.

In conclusion, experimental measurements do not give the true value of a physical quantity, but they provide an estimate of its value with associated uncertainty, which is useful for making predictions and testing scientific theories.

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A Heater Is Rated At 1200 W. How Much Current I Does It Draw When It Is Connected To A 120-V Voltage Source?

Answers

Current it draws when it is connected to a 120-V Voltage Source is calculated as 10A.

What is meant by power?

Electric power (P) of any appliance is defined as the product of the voltage applied on it (V) and the current that flows in it (I).

The rate at which work is done or energy is transferred in an electrical circuit is called electric power or we can also say that it is a measure of how much energy is used in a span of time.

Therefore, P=I*V.

We need to calculate the current and we have the power and the voltage.

Given a heater rated at 1200 W and connected to  120 V voltage source will draw a current of 1200 W / 120 V = 10 A.

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A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of and the well-mixed brine in the tank flows out at the rate of how much salt will the tank contain when it is full of brine?.

Answers

The tank will contain 350 lb of salt when it is full of brine.

A rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities.The amount of salt in the tank can be calculated using the principle of mass conservation. The rate at which salt is entering the tank is equal to the rate at which it is flowing out, so the total amount of salt in the tank will remain constant.

Let x be the amount of salt in the tank when it is full.

Then:

x = 50 + 1 * (400 - 100) = 50 + 300 = 350 lb

So, the tank will contain 350 lb of salt when it is full of brine.

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If F = 5 kN and theta = 30 degree, determine the magnitude of the resultant force and its direction (measured counterclockwise from the positive x axis).

Answers

Given a force F = 5 kN operating at an angle of = 30°, the size of the resulting force may be calculated as follows:[tex]\begin{equation}(F 2+F 2-2 F x F \cos ())=R\end{equation}[/tex] is the resulting force's size.

F is the magnitude of each force, and is the angle between the forces. When we plug in the values, we get: [tex]R = √(5^2 + 5^2 - 2 * 5 * 5 * cos(30°)) R = √(25 + 25 - 50 * √(3)/2) R = √(50 - 25 * √(3)) R = √(50 * (1 - √(3))) R = √(50 * (√(3) - 1)) R ≈ 7.07 N[/tex] The inverse tangent (arctan) function may be used to calculate the direction of the resulting force, as shown below: arctan(Fsin() / (Fcos() + F)) where is the resulting force angle measured counterclockwise from the positive x-axis. When we plug in the values, we get: [tex]arctan(5 * sin(30°) / (5 * cos(30°) + 5) arctan(0.5 / 2.5) = Φ ≈ 14.04°[/tex] As a result, the resulting force has a value of roughly 7.07 N and a direction of approximately 14.04° counterclockwise from the positive x-axis.

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Sorry, just for clarification is this d? Thank you!

Answers

B

Explanation:

I suggest option B for you but you could research more on it

What is the electric field at the center of square when three sides of square have a charge of 4 columb?

Answers

The electric field at the center of the square when three sides of square have a charge of 4 coulomb will be zero.

This is because the electric fields from each side of the square will cancel each other out. The electric field of a single side of the square is given by the equation E = q/4πεr, where q is the charge, ε is the permittivity of free space, and r is the distance from the center of the square. Since the distances from the center of the square to the sides are all equal, the electric fields from the sides will be equal in magnitude and opposite in direction, meaning that the net electric field at the center of the square will be zero.

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Charge placed on an insulator will spread out over the surface of the insulator.
True/False

Answers

Charge placed on insulator will spread out over the surface of the insulator : False.

What do you understand by an insulator?

Electrical insulator is a material in which electric current does not flow freely. Material that keeps energy such as electricity, heat, or cold from easily transferring through is insulator and wood, plastic, rubber, and glass are good insulators.

Atoms of the insulator have tightly bound electrons which cannot readily move. Other materials like semiconductors and conductors conduct electric current more easily.

Perfect insulator does not exist as even insulators contain small numbers of mobile charges which can carry current. All insulators become electrically conductive when sufficiently large voltage is applied that electric field tears electrons away from the atoms.

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If an object has 100 joules of potential energy (pe) at the top of a ramp, how much kinetic energy (ke) will there be at the other two locations indicated, half-way down the ramp and at the bottom the ramp?.

Answers

50 joules and 100 joules will be kinetic energy at half-way down the ramp and at the bottom the ramp respectively  assuming there is no friction.

What exactly is the law of conservation of energy ?

According to the rule of conservation of energy, energy cannot be created or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.

If an object contains 100 joules of potential energy at point an in the beginning, then at point b, the object's kinetic energy will be deducted from the 100 joules of potential energy that were initially there. This is due to the fact that no new energy will be created or lost as the potential energy is converted to kinetic energy.

P.E + K.E = 0

At half-way down the ramp , P.E will be 100/2 i.e. 50joules

At the bottom the ramp, P.E will be Equal to K.E i.e. 100joules.

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An astronaut is floating in space hear her shuttle when she realizes that the cord that’s
supposed to attached her to the ship has become disconnected. Her total body mass (body +
suit + equipment) is 91 kg. She reaches into her pocket, finds a 1 kg metal tool, and throws it out
into space with a velocity of 9 m/s directly away from the ship. If the ship is 10 m away, how
long will It take her to reach it?

Answers

It will take the astronaut approximately 4.74 seconds to reach the ship after she becomes disconnected from the cord.

This is a problem of one-dimensional motion with a constant acceleration, which can be solved using Newton's second law of motion. The acceleration experienced by the astronaut is equal to the force of gravity divided by her mass.

First, let's calculate the force of gravity acting on the astronaut:

F_gravity = m * g

where m is the mass of the astronaut (91 kg) and g is the acceleration due to gravity (9.8 m/s^2 on Earth).

Next, let's calculate the net force acting on the astronaut:

F_net = F_gravity - F_tool

where F_tool is the force exerted by the tool on the astronaut as it is thrown away from the ship (1 kg * 9 m/s = 9 N).

Finally, we can use Newton's second law to calculate the acceleration experienced by the astronaut:

a = F_net / m = (F_gravity - F_tool) / m = (91 * 9.8 - 9) / 91 = 0.89 m/s^2

To find the time it takes for the astronaut to reach the ship, we use the equation for one-dimensional motion with constant acceleration:

d = v0 * t + 0.5 * a * t^2

where d is the distance to the ship (10 m), v0 is the initial velocity of the astronaut (0 m/s), and t is the time elapsed.

Solving for t, we get:

t = sqrt(2 * d / a) = sqrt(2 * 10 / 0.89) = sqrt(22.47) = 4.74 s

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if the vector sum and the magnitudes of the vectors when added is given by a b = c, then the vectors and must have their orientation

Answers

The direction of the electric field at point "A" is from left to right and the direction of the electric field at point "B" is from right to left. The direction of the electric field at point "C" is downward.

The electric field is a field that describes the force experienced by a charged particle due to the presence of other charged particles or electric charges. The electric field is a fundamental concept in electromagnetism and is used to understand and predict the behavior of charged particles in various situations.

Electric field lines are used to represent the direction of the electric field. They are lines that start from positive charges and end at negative charges. The direction of the electric field at any given point is the direction in which a positive test charge would be pushed if placed in the field. The closer the electric field lines are together, the stronger the electric field is in that region.

The electric field can be caused by a variety of sources, including point charges, distributed charges, and electric dipoles. The electric field can also be influenced by other factors such as conductors, insulators, and dielectrics.

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