Thermal energy at room temperature is about 25 meV.You're designing an electronic device to operate at room temperature, and you want the kinetic energy associated with the uncertainty principle not to exceed the thermal energy. What's the minimum width in which your device can confine an electron?

Given data

*The given velocity of the car is v(t)= 10 + 3t + 512

The acceleration of the car is calculated as

Thus, the acceleration of the car at t = 2 s is 3 m/s^2

Answer and Explaination:

To solve this problem, we can analyze the forces acting on the mass as it travels up the inclined plane. We'll consider the gravitational force and the force exerted by the spring.

1. Gravitational force:

The force due to gravity can be broken down into two components: one perpendicular to the inclined plane (mg * cosθ) and one parallel to the inclined plane (mg * sinθ), where m is the mass and θ is the angle of the inclined plane.

2. Force exerted by the spring:

The force exerted by the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The force can be written as F = -kx, where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.

Given:

Mass (m) = 5.0 kg

Compression of the spring (x) = 20.0 cm = 0.20 m

Angle of the inclined plane (θ) = 30°

First, let's find the force exerted by the spring (F_spring):

F_spring = -kx

To find k, we need the spring constant. Let's assume that the spring is ideal and obeys Hooke's Law linearly.

Next, let's calculate the gravitational force components:

Gravitational force parallel to the inclined plane (F_parallel) = mg * sinθ

Gravitational force perpendicular to the inclined plane (F_perpendicular) = mg * cosθ

Since the inclined plane is frictionless, the force parallel to the inclined plane (F_parallel) will be canceled out by the force exerted by the spring (F_spring) when the mass reaches its highest point.

At the highest point, the gravitational force perpendicular to the inclined plane (F_perpendicular) will be equal to the force exerted by the spring (F_spring).

Therefore, we have:

F_perpendicular = F_spring

mg * cosθ = -kx

Now, let's substitute the known values and solve for k:

(5.0 kg * 9.8 m/s^2) * cos(30°) = -k * 0.20 m

49.0 N * 0.866 = -k * 0.20 m

42.426 N = -0.20 k

k = -42.426 N / (-0.20 m)

k = 212.13 N/m

Now that we know the spring constant, we can calculate the maximum potential energy stored in the spring (PE_spring) when the mass reaches its highest point:

PE_spring = (1/2) * k * x^2

PE_spring = (1/2) * 212.13 N/m * (0.20 m)^2

PE_spring = 4.243 J

The maximum potential energy (PE_spring) is equal to the maximum kinetic energy (KE_max) at the highest point, which is also the energy the mass has gained from the spring.

KE_max = PE_spring = 4.243 J

Next, we can calculate the height (h) the mass reaches on the inclined plane:

KE_max = m * g * h

4.243 J = 5.0 kg * 9.8 m/s^2 * h

h = 4.243 J / (5.0 kg * 9.8 m/s^2)

h = 0.086 m

The height the mass reaches on the inclined plane is 0.086 m.

Now, we can calculate the distance traveled.

A 5.0 kg object compresses a spring by 0.20 m with a spring constant of 25 N/m. It climbs an incline, reaching a maximum height of 0.0102 m before coming back down, traveling a total distance of 0.0428 m.

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Answer:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=125$.

Step 4: In the same vein, $x\%=125$.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$.

Explanation:

Answer:

Explanation:

If unknown capacitance C1, C2, C3 and C4 are connected in series to one another, their equivalent capacitance of the circuit will be expressed as shown

\(\frac{1}{C_t} = \frac{1}{C_1} +\frac{1}{C_2} +\frac{1}{C_3} +\frac{1}{C_4} \\\)

Given the capacitance's 3.0 pF, 2.0 pF, 5.0 pF and X pF connected in series to each other. If the equivalent capacitance of the circuit is 0.83 pF, then to get X, we will apply the formula above;

\(\frac{1}{0.83} = \frac{1}{3.0} +\frac{1}{2.0} +\frac{1}{5.0} +\frac{1}{C_4} \\\\\\1.205 = 0.333+0.5+0.2+\frac{1}{C_4} \\\\1.205 = 1.033 + \frac{1}{C_4} \\\\\frac{1}{C_4} = 1.205-1.033\\\\\frac{1}{C_4} = 0.172\\\\C_4 = \frac{1}{0.172}\\ \\C_4 = 5.8pF\\\\\)

C₄ ≈ 6pF

Hence the value of the X capacitor is approximately 6pF

Answer:

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The average velocity is 4i m/sec ,  the average acceleration is 4i

A vector is an object that has both magnitude and direction.

It is given that

x=at²i + btj

where t is in second and x is in meter.

The average velocity is given by dx/dt

dx/dt = 2at i + b j

dx/dt = 2 * 2 * t i +1 j

dx/dt = 4t i +j

dx/dt in the time interval of 2 to 3 sec is

at 2 sec,

dx/dt = 4 * 2 i +j = 8i +j

at 3 sec ,

dx/dt = 4 * 3 i + j = 12i+j

Therefore the average velocity is

(12i +j - 8i -j)/ (3-2) = 4i

The velocity at any given time is dx/dt = 4t i +j

The acceleration at any given time is d²x/dt²

d²x/dt² = 4 i

the average acceleration in the time interval  t₁=2sec and t₂=3sec

Average Acceleration =  4i

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Answer:

d. Direction and magnitude

Explanation:

The two components of a vector are its magnitude and direction.

Magnitude is the quantity of the substance

Direction is the path.

Examples of vector quantities are velocity, displacement, acceleration.

Answer:

F = 3062.5  N

Explanation:

Given that,

The mass of a sled, m = 35 kg

The speed increase from 30 m/s to 65 m/s in 0.4 seconds.

We need to find the force needed to accelerate the car.

Net force is given by :

F = ma

where

a is acceleration of the car.

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{35\times (65-30)}{0.4}\\\\F=3062.5\ N\)

So, the net force is 3062.5  N.

(a) The magnitude of the spring's displacement when the acceleration of the box is zero can be determined by equating the initial gravitational potential energy to the elastic potential energy stored in the spring.

(b) The magnitude of the spring's displacement when the spring is fully compressed can be determined by equating the initial gravitational potential energy to the elastic potential energy stored in the spring.

(a) To determine the magnitude of the spring's displacement when the acceleration of the box is zero, we need to apply the principles of conservation of energy.

Initially, the box has gravitational potential energy given by mgh, where m is the mass of the box, g is the acceleration due to gravity, and h is the height from which the box was dropped. The initial gravitational potential energy is converted into the elastic potential energy stored in the compressed spring and the kinetic energy of the box just before it makes contact with the spring.

The gravitational potential energy is given by:

mgh = (1.9 kg)\((9.8 m/s^2)h\)

The elastic potential energy stored in the spring is given by:

1/2 kx^2\(kx^2\), where k is the spring constant and x is the displacement of the spring.

The kinetic energy of the box just before it makes contact with the spring is given by:

\(1/2 mv^2,\) where m is the mass of the box and v is the speed of the box.

Since the acceleration of the box is zero at the instant when the spring's displacement is maximum, the kinetic energy is zero. Therefore, we can equate the initial gravitational potential energy to the elastic potential energy to find the spring's displacement.

mgh = 1/2 \(kx^2\)

Substituting the given values, we have:

\((1.9 kg)(9.8 m/s^2)h = 1/2 (300 N/m)x^2\)

Solving for x, the magnitude of the spring's displacement, we can determine its value at the instant when the acceleration is zero.

(b) To find the magnitude of the spring's displacement when the spring is fully compressed, we need to consider the conservation of mechanical energy once again.

At maximum compression, all the initial gravitational potential energy is converted into the elastic potential energy stored in the compressed spring.

mgh = 1/2 \(kx^2\)

Substituting the given values and solving for x, the magnitude of the spring's displacement, we can determine its value when the spring is fully compressed.

It's important to note that in both cases, the negative sign of the displacement indicates that the spring is being compressed. The magnitude of the displacement will be a positive value.

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To ensure basic human dignity in relation to safe and healthy living, governments can implement various measures such as accessible healthcare, adequate housing, and sanitation and clean water.

Governments should place a high priority on ensuring that everyone has access to healthcare services, enabling them to receive the essential medical care without suffering financial difficulty. This entails providing access to necessary pharmaceuticals, cheap healthcare, and a strong healthcare system.

All citizens should have access to affordable and good housing, according to governments. Policies may include restrictions on rental costs, programs to expand the supply of affordable housing, and efforts to combat homelessness. Basic hygienic and safety criteria should be met by housing.

Governments must make sure that everyone has access to clean, safe drinking water and adequate sanitary facilities. The spread of diseases and the maintenance of sanitary living circumstances can be aided by investments in sewage systems, water treatment facilities, and public hygiene education.

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The net displacement of the object from t = 0s to t = 8s is 2 m.

The initial velocity of the object is 1 m/s.

The  final velocity of the object is 0 m/s.

The average velocity of the object from t = 0s to t = 8s is 0.25 m/s.

The distance traveled by the object in the first 8 seconds is 6 m.

The displacement of the object is the change in the position of the object.

d = Δx

d = x(0) = x(8)

d = 2 m - 0 m = 2m

v = x/t

v = 2m / 2 s

v = 1 m/s

v = x/t

v = 0/8 s = 0 m/s

v(avg) = Δx/Δt = 2 m/8 s = 0.25 m/s

in the first 2 seconds = 2 m

in the first 6 seconds = 4 m

in the first 8 seconds = 2 m + 4 m + 0 = 6 m

Thus, the net displacement of the object from t = 0s to t = 8s is 2 m.

The initial velocity of the object is 1 m/s.

The  final velocity of the object is 0 m/s.

The average velocity of the object from t = 0s to t = 8s is 0.25 m/s.

The distance traveled by the object in the first 8 seconds is 6 m.

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Answer:

every 4 years

Explanation:

Answer:

Every four years

Explanation:

Answer: Specialized skilled workers became obsolete as complex societies grew and traded with neighbors.

Explanation:

Answer: Melting, evaporation and sublimation.

Melting, evaporation and sublimation require an increase in energy.

To determine the changes of state that require an increase in energy, we need to know about changes of state.

Melting, evaporation and sublimation are the changes of state of a substance.

Thus, we can conclude that melting, evaporation and sublimation require an increase in energy.

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The shape of a line graph displaying temperature change over time before boiling is typically linear and increasing.

In a line graph showing the temperature change over time of a liquid before it starts to boil, the shape is generally linear and increasing.

This is because as heat is applied to the liquid, its temperature increases at a consistent rate.

During this phase, the heat energy is used to increase the kinetic energy of the molecules in the liquid, causing a rise in temperature.

Once the boiling point is reached, the graph may show a plateau, as the energy is then used to change the liquid's state rather than further increase the temperature.

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(a) For the density function, the value of B is 2.5 g/cm³   and the value of C is 1.3 g/cm⁴

(b) The total mass of the rod is 1470 g.

The density of the rod is a function of distance and it is given as;

ρ = B + Cx

where;

ρ = 2.5 g/cm³  +  (19.5 g/cm³ ) / ( 15 cm ) x

ρ = 2.5 g/cm³  +  1.3 g/cm⁴  x

The total mass of the rod is calculated by integrating the function;

dm = ( B + Cx)(8 cm² ) dx

m = 8B + 8Cx

m = 8Bx  +  8Cx² / 2

m = ( 8 x 2.5 x 15 )  +  ( 8 x 1.3 x 15² ) / 2

m = 1470 g

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Answer:

Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy.

Explanation:

Heat energy is transferred from hot places to cooler places by convection.

I don't know about it your answer will give another people

Answer: Let the final velocity be v.

Given,

Initial velocity(u)=8m/s

Acceleration(a)=7m/s2

Time(t)=3 sec

Then,

v=u+at

  =8+7*3 m/s

  =29m/s

Therefore, the final velocity is 29m/s.

\({\tt{\red{\underline{\underline{\huge{Answer:}}}}}}\)

\(\longrightarrow\) The rate of change of velocity per unit time is called acceleration.

\(\longrightarrow\) Its SI unit is m/s².

\(\huge\boxed{\fcolorbox{blue}{red}{Thank you}} \)

Answer:

Explanation:

Unfortunately, as an AI text-based model, I cannot directly view or interpret images. However, I can still provide you with the information you need to identify Polaris and its position in the night sky.

To locate Polaris using the stars of the Big Dipper (also known as the Great Dipper or Ursa Major), you can follow these steps:

1. Locate the Big Dipper: The Big Dipper is a prominent asterism, or a recognizable pattern of stars, within the constellation Ursa Major (the Great Bear). It is visible in the northern hemisphere during most of the year.

2. Identify the pointer stars: The two stars on the outer edge of the Big Dipper's bowl, farthest from the handle, are called the pointer stars. These stars are named Dubhe and Merak.

3. Extend the line between the pointer stars: Mentally extend an imaginary line that passes through Dubhe and Merak, extending it for approximately five times the distance between the pointer stars.

4. Locate Polaris: The extended line will lead you to Polaris, also known as the North Star. Polaris is relatively bright and appears as the last star in the handle of the Little Dipper (Ursa Minor constellation). It lies almost directly above the North Pole of the Earth and remains nearly fixed in the sky while other stars appear to rotate around it as the Earth rotates.

By following these steps, you should be able to identify Polaris and its position in the night sky, even without an image.

Polaris is positioned directly above the celestial North Pole in the sky, making it a useful navigation tool. The easiest way to locate it is by identifying the Great Dipper constellation and using its two pointer stars, Dubhe and Merak, to lead to the North Star.

The star Polaris, also known as the North Star, is beneficial for navigation due to its fixed position in the sky above the celestial North Pole. The best way to locate it is by first finding the Great Dipper constellation. Two stars in the bowl of this Dipper, named Dubhe and Merak, form a line that leads directly to Polaris.

In the given image, without the benefit of visual reference, it is difficult to identify the specific position of Polaris. However, remember that in actual practice, you would find the two pointer stars of the Great Dipper and follow a line from these stars to locate Polaris.

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Answer:

Q E = m g      electric and gravitational forces balance - both E and g are taken as positive in the downward direction

Q = m g / E = .00144 kg * 9.8 m/s^2 / 680 N/C = 2.08E-5 coul

This is the charge required for the specified force

Therefore Q = -2.08-5 C      for the charge to remain stationary

Answer:

The lithosphere is divided into huge slabs called tectonic plates. The heat from the mantle makes the rocks at the bottom of lithosphere slightly soft.

Explanation:

The Earth's lithosphere is broken into many small and large slabs of rock that are known as tectonic plates.

Earth is divided into four parts :

Lithosphere is the rigid and rocky outer portion of earth's surface. It consists of crust and upper mantle.

Asthenosphere is mostly found in the uppermost mantle of earth. It is weak in nature. Hot molten magma comes out from here.

Our earth is broken into 7 major and some minor plates.

7 Major Plates are :

Minor Plates are :

Hence, our lithosphere is divided into many small and large slabs of rock, and they are known as tectonic plates.

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The pressure applied by the standing book on the table is 1,800 N/m².

option B is the correct answer.

The pressure applied by the standing book on the table is determined from the ratio of weight of the book and the area of the standing book.

Mathematically, the formula for the pressure of a material is given as;

P = F / A

where;

The weight of the book , F = mg

where;

F = 1.5 kg  x  9.8 m/s²

F = 14.7 N

The dimension of the book include;

The height of the book is not in contact with the surface of the table, so the area of the book in contact with the table becomes;

A = w x b

W = 0.21 m  x  0.04 m

W = 8.4 X 10⁻³ m²

P = F / A

P = ( 14.7 N ) / ( 8.4 X 10⁻³ m² )

P = 1,750 N/m² ≈ 1,800 N/m²

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Answer:

  average speed

Explanation:

The directions were different, so the velocities could not be the same.

However, the magnitude of the velocity (speed) was 56/2 = 28 m/s for the first car, and 84/3 = 28 m/s for the second car. These average speeds are the same.

Answer:

The different types of corn used.

Explanation:

Independent variable: In research methods, the term "independent variable" is determined as a variable that is being manipulated, changed, or altered in an experiment by the experimenter in order to see its effect on the dependent variable. The changes in the dependent variable in an experiment depends on the independent variable directly.

The independent variable in the popcorn experiment is brand of popcorn used.

However, the brand of popcorn was changed in this experiment, hence, the brand of the popcorn is the independent variable.

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Energy is that which has the ability to cause change in matter.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

So in simple definition we can say that energy is that which has the ability to cause change in matter.

Based on the given statements we can classify them as;

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Answer:

Light takes less time than sound.

Explanation:

Let's say, the teacher and the student are at a distance "d" from each other.

The medium around them would be air.

And,

The speed of light in air is approx. 3× 10⁸ m/s

while, the speed of sound in air is approx. 330 m/s

We have a formula that establishes the relation between speed, distance and time.

\( \boxed{ \mathsf{speed = \frac{distance}{time} }}\)

Our hunt for time — Speed in both the scenarios is known to us whereas the distance is same.

Sound

\( \mathsf{330 = \frac{d}{time_{s}} }\)

\( \underline{\mathsf{time _{s} = \frac{d}{330} }}\)

Light

\( \mathsf{3 \times {10}^{8} = \frac{d}{time _{l} } }\)

\( \underline{ \mathsf{ time _{l} = \frac{d}{3 \times {10}^{8}} }}\)

The best way of comparison is finding their ratio.

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{ \frac{d}{330} }{ \frac{d}{3 \times {10}^{8} } } }\)

simplifying the fraction

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{d \times (3 \times {10}^{8} )}{330 \times d}}\)

d gets canceled and we're left with the following expression

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{ (3 \times10 \times {10}^{7} )}{330}}\)

30, being a common factor in the numerator as well as denominator, gets canceled out. and in its place remains 1/ 11

(why?

=> 30÷330 = 1÷11)

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{ 1\times {10}^{7} }{11}}\)

taking timeₛ to the numerator on the other side.

\( \implies \mathsf{time_{s} = \frac{ 1\times {10}^{7} }{11}\times time_{l}}\)

Therefore, we get timeₛ is approx. 10⁶ times the timeₗ.

That's a big difference, no wonder light's way much faster than sound.

As lesser the time taken to cover a distance, faster is the wave.

The sound takes about 874,000 times MORE time than the light takes.

ANSWER

The earth

EXPLANATION

We want to know the celestial body that exerts a greater force on the other.

The gravitational force is a non-contact force of attraction is a force that acts between any two bodies that have mass. This means that once two objects have mass, they are attracted to one another by the force of gravity.

Because the force of gravity is a force that depends on the mass of the objects, a body with greater mass can exert a greater force of gravity on another body.

This implies that the greater the mass of the body, the greater the force it exerts on the other body.

Hence, the earth exerts a greater force.

The autographed baseball rolled off at 0.3762m/s before it fell off.

Acceleration is the rate of change of the velocity of an object with respect to time.

Given the following data:

Initial velocity = 0 m/s (assuming it started from rest).

Vertical distance = 1.2 meters

Horizontal distance = 0.76 meters

Acceleration due to gravity = 9.81

To find how fast the autographed baseball was rolling on the desk before it fell off:

we will use the second equation of motion to determine the time required:

S = ut + 1/2at²

Where:

S is the displacement or distance covered.

u is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Substituting the given values into the formula, we have;

S = ut + 1/2at²

=0*t + 1/2 * 9.81 * t²

t = 2.02 seconds

Next, we would determine the horizontal speed:

horizontal speed= horizontal distance/time

horizontal speed=0.76/2.02

horizontal speed=0.3762m

Horizontal speed = 0.3762m/s

Therefore, the autographed baseball rolled off at 0.3762m/s before it fell off.

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