a parallel plate capacitor has a cross-sectional area of 25.8 x 31.1 mm and a plate separation of 0.19 mm. what is the dc capacitance, in pf, if the material inserted in between the plates has a dielectric constant of 3.8 ? (answer format x.x)

Answers

Answer 1

The dc capacitance is 1420.84.

What exactly is DC capacitance?

The way a capacitor behaves in a DC circuit

An uncharged capacitor has zero voltage in terms of DC voltage, which is the same as a short circuit. When the capacitor is fully charged, the circuit has no current flowing. An open circuit is therefore what a fully charged capacitor appears to dc to be.

Parallel plate capacitor ,

Area= (25.8 X 31.1) mm²

plate separation = d= 0.19 mm.

Er = dielectric constant =  3.8

Converting all the values in SI unit meter.

Area = 25.8 x 31.1/(10⁻³)²

Area = 802.38/10⁻⁶

Area = A= 0.0080238 m².

Now, d = 0.19mm =0.00019m

Er = 3.8

for parallel plate capacitor, the capacitance is given by

C = E₀ErA/d , where E = 8.85×10⁻¹²F/m.

C = 8.854 x 10⁻¹²X3.8X 0.0080238/0.00019

C =0.26996x 10⁻¹²/0.00019

C =1420.84x 10⁻¹²(10⁻¹² represent Pico and unit of capacitance is farad).

C = 1420.84

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Related Questions

a perfectly elastic collision is a collision: a perfectly elastic collision is a collision: between two springs. that conserves thermal energy. that conserves kinetic energy. that conserves potential energy. that conserves mechanical energy. submitrequest answer

Answers

perfect elastic collusion is a collision that conserves kinetic energy.

in physics, an elastic collision is an encounter between two bodies where the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, no kinetic energy is converted into other forms such as heat, noise, or potential energy

The main reason why there is no loss of energy is because of the lack of collusion. it can be either one-dimensional or two dimensional

The linear momentum of the system as a whole does not change, but the individual momentums of the components involved change, being equal and opposite in magnitude, canceling each other out, and conserving the initial energy

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write the formula for newton's method and use the given initial approximation to compute the approximations x1 and x2

Answers

Using Newton's method , the approximations value of x₁ and X₂ are 7.1 and 7.0 respectively.

Newton's method: Newton’s method is a procedure for approximating the solutions of an equation f(x) =0. These are also called the zeros of f. Newton’s method is an iterative procedure that finds an approximation to a rootof f(x) =0 and then uses the approximation to help find a better approximation. This gives a list of numbers x1, x2, x3, . . . which we call successive approximations. We begin by explaining the main step of method with shows us how to find xn+1 from xn.

Given an approximation xn, compute the next approximation by x+1 = x− f(x)/f'(x).•

We have given that,

f(x) = x²−2x−35, and x₀= 6

approximation relation for succive approximation

is x + 1 = x − (x2 - 2x- 35) / 2x 2

Now , we compute the values of x1 and X2 using approximation relation

put n= 0 , in above formula we get

X₁ = x₀- ( x₀²- 2x₀ - 35)/2x₀ -2

using initial condition, x₁ = 6 - ( 36-12-35)/10 = 7.1

again put, n= 1

x₂ = x₁ - ( x₁ ² - 2x₁ -35)/2x₁ -2 = 7.1 - ((7.1)² - 14.2 -35)/12.2 = 7.00

Hence, the value of first succive approximation (x₁) is 7.1 and second approximation (x₂) is 7.00

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Complete Question:

Write the formula for Newton's method and use the given initial approximation to compute the approximations x1 and x2.

f(x)=x2−2x−35, x0 =6

Write the formula for Newton's method for the given function. Choose the correct answer below.

xn+1=xn−(xn2−2xn−35 )/ 2xn−2

Use the given initial approximation to compute the approximations x1 and x2.

which of the following best describes this collision? view available hint(s)for part a which of the following best describes this collision? perfectly elastic partially inelastic perfectly inelastic

Answers

The best description of inelastic and elastic collisions is perfectly inelastic.

What are inelastic and elastic collisions?

Collisions occur when one object strikes аnother. There аre two types of collisions:

Inelаstic collisions: momentum is conserved,Elаstic collisions: momentum is conserved аnd kinetic energy is conserved.

Your question is incomplete, but most probably your question was

An inelastic collision is a collision in which kinetic energy is not conserved. In a partially inelastic collision, kinetic energy is lost, but the objects colliding do not stick together. From this information, you can infer what completely inelastic and elastic collisions are.

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which answer best describes the second law of thermodynamics as it is used in engineering thermodynamics?

Answers

A control volume's time rate of entropy change is equal to the rate of entropy generated inside the control volume plus the rate of entropy entering or leaving the control volume through mass transfer.

A state of disorder, randomness, or uncertainty is most frequently associated with the scientific concept of entropy, which is also a quantifiable physical property. In other words, entropy is the increase in disorganization within a system. It is defined as the measurement of degree of randomness. A physical principle based on observed interactions between heat and energy, the second law of thermodynamics is applicable to all situations. A straightforward explanation of the law is that, without an energy source to change the direction of heat flow, heat always travels from hotter to cooler objects. The overall entropy of a system never decreases; according to the second law of thermodynamics, it always either rises or stays the same.

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Claify each planet a an inner planet or an outer planet. Planet A ha 67 moon, and
major part of it atmophere
are hydrogen and helium. Planet B ha ring but
not much atmophere. Planet C ha no moon but
ha high volcanic activity
Known a the red planet, planet
D ha high amount of carbon
dioxide in it atmophere and
ha two moon. Planet E ha a thin layer of
atmophere but no moon due
to the effect of the Sun’ gravity. Planet F ha 27 moon, and it
atmophere i motly compoed
of hydrogen, helium, and methane

Answers

The inner planets are Planets C , D and E.

The outer planets are Planets A. B and F.

How many types of planets are there in our Solar System?

Astronomers frequently divide our Solar System's planets into two groups: the inner planets and the outer planets.

Inner Planets

Due to their position, nearer to the Sun, the inner planets are smaller and more rocky. Mercury, Venus, Earth, and Mars are the inner planets, which are listed in order of proximity to the sun from closest to farthest. The four inner planets are referred to as "terrestrial planets" because they have solid surfaces and, as suggested by their names, are fairly similar to Earth. However, the term can be deceptive because the conditions on each of the four worlds vary greatly. They have either no moons or few moons, are primarily composed of heavy metals like iron and nickel, and are small in size.

Outer Planets

The outer planets are much larger in size, farther distant, and mostly composed of gas.Jupiter, Saturn, Uranus, and Neptune are the outer planets that appear after an asteroid belt.The outer planets are large, gas-encased planets that are also referred to as gas giants or Jovian planets. Each has a large number of moons and each has rings. Even though they are large, only Jupiter and Saturn are visible without telescopes. Astronomers learned the solar system was larger than previously believed when Uranus and Neptune, the first planets identified since antiquity, were discovered.

On the basis of the above comparison the planets in the question are classified as-

Planet A - Outer Planet as has 67 moon, and major part of it atmophere are hydrogen and helium.

Planet B - Outer Planet as has ring but not much atmophere.

Planet C - Inner Planet as has no moon but has high volcanic activity

Planet D - Inner Planet as has high amount of carbon dioxide in it atmophere and has two moon

Planet E - Inner Planet as  has a thin layer of atmophere but no moon due to the effect of the Sun’ gravity

Planet F - Outer Planet as it has 27 moon, and it has atmophere mostly composed of hydrogen, helium, and methane

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A rock climber carries his 15,000 g backpack to the top of the cliff.
What is the MASS, in kg, of the backpack?

Answers

Main answer-  the mass of the backpack is 1.53kgs

Supporting answer- The mass of the body is the quantity of matter contained in it .

weight of a body is defined the amount of mass or heaviness of the body

Weight = mass x acceleration due to gravity

Body of the answer- Given ,

weight of backpack = 15000g = 15kgs

mass =             weight of the body

                    acceleration due to gravity

mass of the bag =     15 kgs

                                      9.8

                       = 1.53 kgs

Final answer- hence mass of the backpack is 1.53kgs

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Drag each description into the type of weathering that ur describes

Answers

Note: Can you please add a screenshot? So I can help you out.

With our current techniques, astronomers can typically only measure the minimum mass of a planet orbiting another star. To know the precise mass of the planet, they must also be able to determine.

Answers

To know the exact mass of a planet, we also need to be able to determine the angle at which the planet's orbit is tilted toward us.

How do you calculate the minimum mass of a planet orbiting another star?

To determine the mass of a planet, astronomers usually measure the small motions of the star caused by the gravitational pull of the orbiting planet. For a planet, figuring out the mass of the Earth is an extraordinary challenge with current technology.

Therefore, to measure the mass of a planet, measure the period and orbital radius of all satellites orbiting the planet, plot graph against R³/T² for all satellites, and calculate the mass of the planet. This is one way to do that.

According to Kepler's laws: If the orbital size (a) is expressed in astronomical units (1 AU is the average distance between the Earth and the Sun) and the period (P) is measured in years, Kepler's third law states that his P² = a³ increase. where P is the Earth year, a is the AU, and M is the mass of the central body in units of the mass of the Sun.

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A 210 W heater is placed in 2kg of water and switched on for 200 seconds.

A: How much energy does the heater supply
B: Assuming that no thermal energy is lost, what is the temperature rise of water?

Answers

A. The amount of heat energy the heater supply is 42000 J

B. The temperature rise of the water is 5 °C

A. How do I determine the energy supplied by the heater?

We can determine the heat energy supplied by the heater as illustrated below:

Power (P) = 210 WattsTime (t) = 200 secondsEnergy (E) = ?

Electrical power = Electrical eneryg / time

210 = Energy / 200

Cross multiply

Energy = 210 × 200

Energy = 42000 J

Thus, the energy supplied is 42000 J

B. How do I determine the temperature rise?

The temperature rise of the water can be obtained as follow:

Heat supplied (Q) = 42000 JMass of water (M) = 2 KgSpecific heat capacity of water (C) = 4184 J/KgºC Temperature rise (ΔT) =?

Q = MCΔT

42000 = 2 × 4184 × ΔT

42000 = 8368 × ΔT

Divide both sides by 8368

ΔT = 42000 / 8368

ΔT = 5 °C

Thus, the temperature rise is 5 °C

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8. assume pulleys and ropes are massless and frictionless. the surface with the 80 kg block has a coefficient of kinetic friction

Answers

The coefficient of kinetic friction ∝=9.81

Given that mass of block is 80kg .

Pulleys and ropes are massless and frictionless.

Coefficient of kinetic friction ∝ means the ratio of kinetic friction force of contacting surfaces to normal force .

Being a ratio parameter its unitless parameter.

[tex]F= mg\\\\F=\alpha N[/tex]

from these equations

[tex]mg=\alpha N[/tex]

Since there is no involvement of tension, g=∝

∝=9.81

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suppose three planets all have similar rocky surfaces but different average densities as in the choices below. which planet is likely to have a large iron core? a)6000 kg/m3
b)3000 kg/m3
c)4500 kg/m3

Answers

The planet that is likely to have a large iron core if all three planets have similar rocky surfaces but different average densities is 6000 kg / m³

Density is directly proportional to he size of iron core. Larger the density of the planet larger will be the size of iron core of the planet. Smaller the density of the planet smaller will be the size of iron core of the planet.

Average density of a planet is the value of total mass divided by the total volume. If the average density of a planet is higher than 3000 kg / m³, the planet is terrestrial. If the average density of a planet is lesser than 2000 kg / m³, the planet is Jovian.

Therefore, the planet that is likely to have a large iron core if the planet with 6000 kg / m³

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Read the question, and write your response in the space provided.
20. A force of 6.2 x 10' N is needed to blast off a 5.0 x 10³ kg rocket from rest.
What is the rocket's average acceleration?

Answers

Answer:   124m/s2

Explanation: I'm pretty sure this is correct, if it is not I'm sorry, and have a good day!

a movie camera with a single lens (has a converging lens) of focal length 75 mm takes a picture of a 180 cm high person standing 2.7 m away. what is the position of the image of the person? (write the value in cm and use only one decimal place).

Answers

The position of the image of the person is 0.5 cm.

What is meant by focal length?

An optical system's focal length is the inverse of its optical power; it indicates how strongly the system converges or diverges light. A positive focal length system converges light, while a negative focal length system diverges light.

The rays are bent more sharply in a system with a shorter focal length, bringing them closer to focus or diverging them faster. For the special case of a thin lens in air, a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus.

Given,

Focal length=75mm

Height of the person=2.7m

f=((1/f)-(1/p))⁻¹

f=fp/p-f

Thus, the height of the image is

[tex]h_{i}[/tex]=m[tex]h_{p}[/tex]

[tex]h_{i}[/tex]=(i/p)[tex]h_{p}[/tex]

[tex]h_{i}[/tex]=f[tex]h_{p}[/tex]/p-f

[tex]h_{i}[/tex]=(75mm)(1.80m)/(27m-0.075m)

[tex]h_{i}[/tex]=5mm

[tex]h_{i}[/tex]=0.5 cm

The position of the image of the person is 0.5 cm

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A metal sphere with a mass of 0.020 kg rolls along a friction-less surface at 3.2 m/s and strikes a stationary sphere having a mass of 0.041 kg. The first sphere stops completely. The spheres are in contact for 0.005 s before the second sphere is shot off down the track. What is the force applied to the second ball?

Answers

Answer:

Kinetic energy

Explanation:

Kinetic = movement or something

the ball moved, sounds like kinetic.

when a traffic accident is investigated, it is common for the length of the skid marks to be measured. how could this information be used to estimate the initial speed of the vehicle that left the skid marks?

Answers

This information could be used in the following ways: the braking distance of a skidding car will depend on its initial speed and the coefficient of kinetic friction.

Thus, if the coefficient of friction is known the initial speed can be determined from the length of the skid marks.

What do you mean by Initial speed?

Initial speed can be described as  how fast an object travels when gravity first applies force on the object. It can be represented in the form of (u) and is generally measured in metres per second (m/s).

It can be represented in three ways.

v2=u2+2as v=u+ats=ut+0.5at2

Through these formulas we can calculate the initial speed of any object. It helps in understanding various velocities, time principles.

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The scientific method is a process, consisting of steps that need to be followed in order to answer questions to observations we may have about the world around us.
true or false

Answers

True.

According to Merriam-Webster:

"principles and procedures for the systematic pursuit of knowledge involving the recognition and formulation of a problem, the collection of data through observation and experiment, and the formulation and testing of hypotheses"

Answer:

True

Explanation:

The SCIENTIFIC METHOD is the process of establishing facts through experiments and tests. The process includes getting an observation, making hypothesis, making a prediction, implementing the experiment and submitting the analysis report.

To know more about SCIENTIFIC PROCESS

Please help really confused?

Answers

At point A the spinning wheel will experience least centripetal force.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Centripetal force is applied on object depends on the centre and object distance. So B will experience maximum force while A is least.

At point A the spinning wheel will experience least centripetal force.

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Imagine that you jump out of an airplane and wait 3.8 seconds before pulling the parachute.

a. How fast are you going when you pull the chute?

b. How far have you fallen before you pull the chute?

Answers

While pulling the speed is 37.24 m/s and distance before 70.76 m

Acceleration due to gravity

a = 9.8 m/s2

a. by the equation of motion

V = U + at

=  0 + (9.8 m/s2) ×(3.8 s)

= 37.24 m/s

b. distance fallen

S = ut + (1/2)at

= 0 + (1/2)×9.8×3.82

= 70.76 m

A parachute acts like a wing on an airplane though it acts with the same force as a human when falling. The T-11's main canopy uses a unique deployment sequence to reduce shock and canopy vibration when opening. The T-11 is designed for an average descent velocity of 19 feet per second for the 95th percentile service member, compared to 24 feet per second for the T-10C.

Even if the main parachute fails he can use his backup parachute to land. There are even tactics you can use to increase your chances of surviving a free fall to Earth if your reserves also fail. So if you have two parachutes of the same size and shape but different materials and one is heavier than the other the heavier parachute will fall faster.

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a 4-kg mass of gas expands adiabatically and does 20 j of work. what is the change in the gas's internal energy?

Answers

There is a change of  -20 J in the gas's internal energy.

Adiabatic expansion is the method of volume expansion in which no heat is exchanged inside the system from the surrounding, or the heat exchange is zero. During extension, the exchange of energy takes put as work.Since we given with  4-kg mass of gas expands adiabatically and does 20 j of work.

According to the first law of thermodynamics

ΔQ = ΔU + W

where Q is the heat supply or received, U is the internal energy and W is the work done

since in case  adiabatic  process , ΔQ = 0

so,  ΔU = -ΔW

wince a work done is done by the system, so the work done =  +20 J

ΔU =  -(+20) = -20 J

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Explain why increasing temperature from 3°C to 6°C does not double temperature. In Charles law.

Answers

Celsius does not measure at an absolute temperature , hence  increasing temperature from 3°C to 6°C does not double temperature. In Charles law.

Heat or bloodless is measured in terms of temperature. It demonstrates how warmth electricity certainly flows from a warmer body to a cooler body and may be expressed in phrases of any range of arbitrary scales (one at a decrease temperature).

A match is burning at a far greater temperature than an iceberg, yet an iceberg has a considerably better total warmth electricity than a in shape. Temperature isn't always similar to the electricity of a thermodynamic system.

Temperature, along side strain, density, and different like qualities, is known as an excessive belongings as opposed to vast functions, together with mass or extent—one this is independent of the quantity of stuff being addressed.

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Many animals use __?__to find prey.

2. A porpoise sends out an ultrasonic burst and hears the echo off his favorite food in 0.13 seconds. How far away is the food source? Assume that sound travels at 1,530 m/sec in water.

Answers

Answer:

Below

Explanation:

"echo location"

The sound travels the distance, d , to the food and back for a total distance of  2d

2d =   1530 m/s * .13 s

d = ~ 99 m away

3. below is a 4-bit up-counter. what is the largest number of the counter if the initial state q3q2q1q0

Answers

The largest number is 1111. Option A.

The initial state in a state or activity diagram. Represents the state of an object before the events contained in the diagram act on it. Transitions from initial states are usually unlabeled and represent transitions to enclosing states. A final state marks the end of the execution flow of a state machine or region.

Can have multiple incoming transitions but no outgoing transitions. Each region can have at most one final state. For orthogonal regions, execution flow stops when all region end conditions are reached. In quantum state terms, colliding particles form an initial state. In a collision, particles can be annihilated and/or exchanged resulting in a different set of particles in the final state.

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What is the net force in this image?

Answers

Answer:

D

Explanation:

If we ignore certain factors, then the net force is 0N, because we have two equal but opposite forces (10N-10N).

[14] if you are going to measure current in a circuit, and that desired current passes through an existing resistor in the circuit, what method would you choose? b. [15] if you are going to measure current in a circuit, and that desired current does not pass through an existing resistor in the circuit, what method would you choose?

Answers

(a) If am going to measure the current and that desired current passes through I will an existing resistor to find the current using ohm's Law.

V= IR

Using the ohms Law another variable we can find is let Lenovo. To find Current any variable with two

The voltage & resistance.

So, I = V R

R is to be known.

If V= 1.5V, Then T= 1-5 100 = 0.015 Ampere

R = 100-2

But this is theoretical as the wire the load and even the supply have internal resistance. we Considering Also there are superconductors with zero resistance due to their properties in negative temperatures.

b) measure the current and the desired current doe as to not pass through the existing resistor,

Theoretically, if there is no resistance then it is a short Circu and the current will be infinite But Practically wires have resistance and simply I will find the Kurrent value by breaking the with and connecting the circuit.

We measure the current using a so-called ammeter. Some types of ammeters have a pointer on the dial but most have a digital display. Ammeters must be connected in series to measure the current flowing through the components in the circuit. There are two ways to measure current. One is based on electromagnetism and is associated with the early moving coil meter. The other is based on Ohm's Law, the main theory of electricity.

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In lab we applied the conservation of energy to a system to allow us to equate the initial energy to the final energy. How does the initial energy become stored in the system?.

Answers

The initial energy becomes stored in the system by the tension in the string.

What is energy in physic?

Energy is the capacity to do work. Energy cаn exists in mаny different forms. Аll forms of energy аre either kinetic or potentiаl. The energy аssociаted with motion is cаlled kinetic energy. The energy аssociаted with position is cаlled potentiаl energy. Potentiаl energy is not "stored energy". Energy cаn be stored in motion just аs well аs it cаn be stored in position.

А tension force is а force developed in а rope, string, or cаble when stretched under аn аpplied force. It is the force generаted when а loаd is аpplied аt the ends of аn object, normаlly to the cross-section of it. It cаn аlso be cаlled the pulling force, stress, or tension. This type of force is only exerted when there is contаct between а cаble аnd аn object. Tension аlso аllows force to be trаnsferred аcross relаtively lаrge distаnces.

Your question is incomplete, but most probably your full options were

a. The energy is supplied by the tension in the string.

b. The energy is part of the mass.

c. The force of Gravity does work on the mass when it is displaced some height when the pendulum is displaced by some angle theta.

d. I did work on the mass by dispacing it some height when I displaced the pendulum by some angle theta.

Thus, the correct option is A.

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A balloon tied up with a wooden piece is moving upward with velocity of 15 m/s. At a height of 300 m above the ground, the wooden piece is detached from the balloon. How much time will it take to reach the ground?

Answers

Time will it take to reach the ground is 9.3second

What is acceleration?

The velocity of an object may change due to an increase or reduction in speed or a change in direction of motion. The fall of an apple, the moon orbiting the earth, or a car stopped at a traffic light are all examples of acceleration. We can see from these examples that acceleration occurs when the direction of a moving object changes or its speed increases or decreases.

Acceleration is a vector quantity defined as the rate at which an object's velocity varies. If an object's velocity changes, it is accelerating.

If a person is moving quickly, sports announcers will occasionally state that he or she is accelerating. However, acceleration has nothing to do with speed. A person can be travelling very quickly yet not accelerating. Acceleration is the process of modifying the rate at which an object moves. If an object's velocity does not change, it is not accelerating. The data on the right indicate an accelerating object travelling northward. The velocity of the object changes throughout time.

We are using second equation of motion

s= ut+1/2[tex]t^{2}[/tex]

300=-15T +1/2*(10)[tex]T^{2}[/tex]

t = 9.3 second

Time will it take to reach the ground is 9.3second

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a car with a mass of 1000-liogram accerlerates from rest, and travels a distanceof 48 meters druing its first 4.0 seconds of uniform acceleration. what is its velocity at this points?

Answers

24 m/s will be the velocity at this point .

What is velocity?

Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.

Velocity is a physical vector quantity. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1).  For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.

when v= u + at and v2-u2=2as , where u=0 ,t=4 , S = 48 m , manipulate the data and fine the answer.

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a
b
с
3
A brick is shown in Figure 1.9. It has a mass of
2.8 kg.
65 mm
102.5 mm
215 mm
Figure 1.9: A brick labelled with its dimensions.
Give the dimensions of the brick in metres.
Calculate the volume of the brick.
Calculate the density of the brick.

Answers

Answer: A 0.065 METER   0.1025 METER   0.215 METER

B 0.001432 meter^3

C 1955.307 kg/m^3

Explanation:

If you pour hot soup into a bowl, and the bowl stays cool to the touch, you can assume that
A
the bowl is a good insulator of heat.

B
the bowl is a good conductor of heat.

C
the bowl’s temperature cannot be measured.

D
the bowl transfers most of its heat through radiation.

Answers

Answer:

A

Explanation:

since it did not absorb the heat then it is an insulator

A, As the bowl didn’t absorb any heat it is a good insulator of heat

the truck suffers less damage because it is made of stronger metal. but what about the two drivers? do they experience the same forces? to answer this question, suppose that each vehicle is initially moving at 8.00 m/s and that they undergo a perfectly inelas- tic head-on collision. each driver has mass 80.0 kg. including the masses of the drivers, the total masses of the

Answers

The force experienced by the truck driver is lesser than the force experienced by a car driver in a perfectly inelastic collision.

According to law of conservation of momentum,

m1 u1 + m2 u2 = m1 v1 + m2 v2

After perfect inelastic collision,

v1 = v2

m1 u1 + m2 u2 = ( m1 + m2 ) v

u1 = 8 m / s

u2 = - 8 m / s

m1 = 3800 kg

m2 = 830 kg

Substituting the known values,

( 3800 * 8 ) - ( 830 * 8 ) = ( 3800 + 830 ) v

30400 - 6640 = 4630 v

v = 6.43 m / s

Since final velocity is positive, the vehicles will  move the direction of truck after collision.

For the truck,

a = ( 6.43 - 8 ) / 0.15

a = - 10.48 m / s²

F = 3800 * - 10.48

F = - 39.83 KN

For the car,

a = ( 6.43 - ( - 8 ) ) / 0.15

a = 96.2 m / s²

F = 830 * 96.2

F = 79.85 KN

I Ft I < I Fc I

Therefore, the force experienced by the truck driver is lesser than the force experienced by a car driver.

The given question is incomplete. The complete question is:

Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that experienced by the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false. Newton's third law tells us that both objects experience forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? Suppose that each vehicle is initially moving at 6.40 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 81.0 kg. Including the drivers, the total vehicle masses are 830 kg for the car and 3800 kg for the truck. The collision time is 0.150 s.

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