a 65 kg cart sits on a platform at the top of a 30-m long ramp. As the platform changes height, the ramp remains the same length If the platform moves from a height of 5 m to a height of 10 m, by how much does the gravitational potential energy of the cart change?

Answer:

1a) 857143 m

1b) 414 m

2a)

2b)

3) the medium of air has a wavelength of 0.334 m, the medium of water has a wavelength of 1.493 m, and the medium of 5.130 m.

Explanation:

Question 1a)

Given the velocity/speed, and frequency of the wave, the length can be calculated using these two quantites.

[ λ = v / f ] wavelength = velocity of the wave / frequency of the wave in Hz.

Since 3 × 10^8 × ms^-1 is the velocity, and 350Hz is the frequency.

Anything to the negative power is reciprocated. i.e ms^-1 = m/s.

The wavelength is 300000000m/350Hz = 857142.8571428..... m ≈ 857143 m

Question 1b) Given that the frequency of the second wave in water is 1% of the first wave, and the speed of the second wave is 1450ms^-1

Therefore the second wave has a frequency of 1% of 3.5 = 350/100 Hz = 3.5 Hz

The wavelength is found using the same

formula: wavelength = 1450m/3.5Hz = 414.2857142857.... m ≈ 414 m

Question 2a)

Question 2b)

Question 3) Remember, the speed of sound of the medium = frequency of the medium × wavelength of the medium.

Therefore the wavelength of the medium = speed of sound of the medium / frequency of the medium. This has a similar correlation to the wavelength formula. We are given that all these mediums have a frequency of 1KHz = 1000Hz, where So the wavelength of each medium =

Question 4)

Answer:

I guess rinse it out and wipe it up. It's not a hazardous substance so there's nothing to worry about.

These substances should be cleaned up rinsing the area or removing the compounds with a cloth and dispose of it in the trash.

Sugar is a chemical compound also called sucrose. Its chemical formula is C12H22O11. This compound is normally used to sweeten foods.

On the other hand, common salt is a chemical compound. Its chemical formula is NaCl. This compound is normally used to give food a salty taste.

According to the above, in which a student spilled some salt and sugar in the sink and does not know how to clean it, it can be concluded that the proper way to clean these chemical compounds is by rinsing the area or removing the compounds with a cloth and dispose of it in the trash because neither of them represents biological, chemical or physical risks and a specialized treatment is not required for them.

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Answer:

the pressure per square inch is greater from the smaller feet.

Explanation:

different weight distribution

At a temperature of absolute zero, which is 0 Kelvin (K), the motion of atoms and molecules reaches its minimum possible energy state.

Here's why:

1. Temperature is a measure of the average kinetic energy of the particles in a substance. As the temperature decreases, the kinetic energy of the particles also decreases.

2. At extremely low temperatures, the atoms and molecules in a substance will have very low kinetic energy and will move much more slowly.

3. At 0 Kelvin (which is equivalent to -273.15 degrees Celsius), the particles in a substance will have zero kinetic energy and will be in their lowest possible energy state.

4. At this temperature, the particles will still exhibit some motion due to their quantum mechanical nature, but their motion will be highly constrained and they will be effectively motionless.

5. However, it is not currently possible to reach 0 Kelvin in a laboratory setting, as the process of cooling a substance to such a low temperature would require the removal of all energy from the system.

Therefore, the correct answer to the question is (D) 0 K, although it is important to note that the complete cessation of motion is not actually possible.

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Answer:

6.72 m/s

Explanation:

recall that the equations of motion may be expressed as

v² = u² + 2as

where,

v = final velocity,

u = initial velocity = 0 m/s because it is stationary before it starts falling

a = acceleration (in this case because it is falling, it is the acceleration due to gravity = 9.81 m/s²)

s = distance traveled = 2.3m

in our case, if we neglect air resistance, then we simply substitute the known values above into the equation of motion.

v² = u² + 2as

v² = 0² + 2(9.81)(2.3)

v² = 45.126

v = √45.126

v = 6.72 m/s

The study of the physical properties of light, such as its wavelength and amplitude, and the human perception of color is called psychophysics. It comprises two major areas: discrimination and absolute.

The study of wavelength and amplitude, interaction between physical stimuli and their consequential effects such as perceptions and sensations is called psychophysics.

This concept is applied in psychophysics tasks where extensive research and studies are performed on sensory and other visual information.

To put it in simple words, psychophysics is vital for measuring the perception of a subject through stimulus detection experiments.

Stimuli detection is done either through the method of limits, adjustment technique, or constant stimuli method.

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The temperature of an ideal gas can be physically by a change in the volume of the ideal gas.

The temperature of an ideal gas can be directly measured physically using a constant pressure gas thermometer.

The constant gas thermometer works on the principle of Charles' law which states that at constant pressure, The volume of a fixed mass of of an ideal gas is directly proportional to its temperature.

A constant pressure gas thermometer  consists of  a long, thin glass tube with a known constant mass of air and mercury sealed inside by a rubber stopper. The tube, air, and mercury are then surrounded by a larger, open tube through which liquid or gas can freely pass.  

When the temperature of the gas changes, there is a corresponding increase in the volume of the gas.

The temperature of the gas is calculated using the following relation:

\(\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }\)

Where;

Therefore, the temperature of an ideal gas can be physically by a change in the volume of the ideal gas.

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Question:

If you push a bowling ball and a golf ball with an equal force what will happen

Answer:

B)

Explanation:

Larger than the force used to push the object that has less mass. A golf ball and a bowling ball are moving at the same velocity. When gravity and air resistance are equal, the object has drawn its terminal velocity.

Answer:

the density is 2

Explanation:

p= m/v

p is density

m is mass

v is volume

6/3 = 2

Answer:

We know that the period of a pendulum is written as:

T = 2*pi*√(L/g)

where:

g = gravitational acceleration = 9.8m/s^2

pi = 3.1415...

L =  length of the pendulum, in this case, is the length of the brass pendulum.

Now, we know that the brass dilates when the temperature increases.

Then if the temperature increases, the value of L will increase, which means that the period T will also increase, because L is in the numerator of T.

If the period increases the complete motion of the pendulum needs more time, this would mean that the clock will run slower.

If the temperature decreases, the opposite occurs, the value of L decreases, and then the period also decreases, which means that the clock will run faster.

Answer:

kites where invented 2000 AD

so its A. 2000 AD

srry if it's wrong

Answer:

I guess no. A

Explanation:

approximately 2,800 years ago.

The distance between the sun and a planet can be gotten by measuring its orbital period and applying the Kepler's law.

According to Keplers third law; the cube of the distance between a planet and the sun is directly proportional to the square of the period of the same planet.

Having said that, we know that we can best measure the distance between the sun and a planet by measuring its orbital period and applying the Kepler's law.

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Clear question is;

An ideal gas is enclosed in a piston-cylinder apparatus with the piston being freely movable. Given that ΔE is positive and ΔH is negative following a process,

pick one

A) the system absorbs heat and expands during the process.

B) the system absorbs heat and contracts during the process.

C) the system loses heat and expands during the process.

D) the system loses heat and contracts during the process.

E) the system loses heat but neither expands nor contracts during the process.

Answer:

Option A is correct.

Explanation:

In thermodynamics, when the change in energy which is ΔE of a system is positive, it means that the system is undergoing an endothermic process. An endothermic process is simply one where heat is absorbed from the surroundings

Now, when change in enthalpy which is ΔH is negative, it means that it's an exothermic reaction. Exothermic means it releases heat to the surroundings. This means work is positive because the system does work on the surroundings. Thus it will expand.

So the correct answer is;

heat is absorbed from the surroundings and will expand during the process.

Answer:

v = 40 m/s

Explanation:

Given that,

A man stands 80m in front of a cliff face.  He makes aloud bang and listens for the  echo. He makes a loud bong once every second.

He hears an echo exactly half way between  the bang that caused it and the next hang.

Distance = 40 m, t = 1 s

The speed of sound is given by :

\(v=\dfrac{d}{t}\\\\v=\dfrac{40\ m}{1\ s}\\\\v=40\ m/s\)

Hence, the speed of sound is equal to 40 m/s.

Answer:

The potential energy of the pendulum is 0 when the pendulum is at its equilibrium position. Therefore, at this point, the mechanical energy E is equal to the kinetic energy KE (all the energy at the equilibrium position is kinetic).

Explanation:

Answer:

answer D. all of the above

The Earth's temperature without an atmosphere, determined by substituting 342 W/m² for outgoing longwave radiation and rearranging the Stefan-Boltzmann equation, is approximately 255 K.

By substituting the given values into the Stefan-Boltzmann equation, we can solve for the Earth's temperature without an atmosphere. Assuming an emissivity of 1, the equation becomes 342 = (5.67 × 10^-8) × T^4. Solving for T yields a temperature of approximately 255 K.

Converting this temperature to degrees Celsius, we subtract 273.15 to obtain approximately -18.15 °C. Similarly, converting to degrees Fahrenheit using the conversion formula, we find approximately -0.67 °F.

This temperature of -18.15 °C (or -0.67 °F) represents the hypothetical temperature of the Earth without an atmosphere. Comparing it to the actual average temperature of the Earth, around 15 °C (or 59 °F), we can see that it is significantly colder. The presence of the atmosphere is crucial for trapping heat through various greenhouse gases, such as carbon dioxide and water vapor, which maintain a habitable temperature range on Earth. Without the atmosphere's greenhouse effect, the Earth's temperature would be much colder, emphasizing the vital role played by our atmosphere in sustaining life on the planet.

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Note that when the ball is in the air, the only force acting on it is the downward pull of gravity, so the force of the swing is a red herring.

The ball hits the ground at the same height from which it was hit, so its final velocity will have the same magnitude of 49 m/s, but pointing at an angle of 35° below the horizontal.

It is more difficult to start moving a heavy carton from rest than it is to keep pushing it with constant velocity because of static friction.

Static friction refers to the resistance encountered when attempting to initiate the movement of two objects that are in contact with each other but not currently in motion relative to each other. When an object is at rest, the force of static friction acts in the opposite direction to any force applied to it.

In this case, the force applied to the carton is the force needed to start moving it from rest. The force of static friction is greater than the force applied to the carton, making it difficult to start moving the carton from rest.

Once the carton is moving with constant velocity, the force of static friction is no longer acting on it. The only force acting on the carton is the force that is applied to keep it moving at a constant velocity. This force is equal to the force of kinetic friction which is less than the force of static friction.

To summarize, the initial effort required to overcome the static friction between a heavy carton and its resting position is greater compared to the continuous force needed to maintain its constant velocity. The force of static friction is greater than the force applied to the carton, making it difficult to start moving the carton from rest.

Once the carton is moving with constant velocity, the force of static friction is no longer acting on it, and the only force acting on the carton is the force that is applied to keep it moving at a constant velocity.

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Explanation:

It is given that,

The angle of projection is 60 degrees

Initial velocity of the ball is 120 m/s

We need to find the time taken to get to the maximum height and the time of flight.

Time taken to reach the maximum height is given by :

\(T=\dfrac{u^2\sin^2\theta}{2g}\)

g is acceleration due to gravity

\(T=\dfrac{(120)^2\times \sin^2(60)}{2\times 10}\\\\T=540\ s\)

(ii) Time of flight,

\(t=\dfrac{2u\sin\theta}{g}\)

So,

\(t=\dfrac{2\times 120\times \sin(60)}{10}\\\\t=20.78\ s\)

Hence, this is the required solution.

In electronics, the ID of the term and VG are frequently used to denote the gate voltage and drain current of a MOSFET, or metal-oxide-semiconductor field-effect transistor. Transconductance, on the other hand, is a measure of the change in the drain current with respect to the change in the gate voltage and is abbreviated as GM.

To find ID vs. VG and gm for a JFET with power-law doping N = Np2 VG^n, where Np2 and n are constants, we need to use the JFET equation:

ID = IDSS [1 - (VG/VP)^2]

where IDSS is the drain current when VG = 0, and VP is the pinch-off voltage. To find gm, we use the small-signal model:

gm = ∂ID/∂VG = 2IDSS VG/VP^2

Substituting N = Np2 VG^n into the above equations, we get:

ID = IDSS [1 - (VG/VP)^2] = IDSS [1 - (Np2 VG^n/VP)^2]

and

gm = 2IDSS VG/VP^2 = 2IDSS (Np2 VG^n)/VP^3

We can see that both ID and gm are functions of VG^n. Therefore, we need to plot ID and gm as functions of VG^n instead of VG. We can do this by taking the nth root of VG and then plotting ID and gm vs. this value.

Note that when n = 1, N = Np2 VG^n becomes a linear function and we get the standard JFET equations:

ID = IDSS [1 - VG/VP]^2

and

gm = 2IDSS VG/VP^2

However, for n ≠ 1, the ID vs. VG and gm vs. VG plots will be different from the standard JFET plots and will depend on the values of Np2, n, IDSS, and VP. To get a detailed answer for a specific JFET, we need to know the values of these parameters.

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Answer:

360 degrees is one full rotation starting at zero

it take 2 s  to the flag to rotate once in a full circle  with 3 rad/s of angular velocity.

Angular velocity is "rate of change of angular displacement with respect to time". i.e. ω= dθ/dt. it is also defined as angular displacement over time. i.e. ω = angular displacement/Time.

Angular velocity shows how much angle can be covered in unit time. It's SI unit rad/s.

Angular acceleration is rate of change of Angular velocity with respect to time.

i.e. α = dω/dt if an object changes its angular velocity in short time, we can say that it has greater angular acceleration. It is expressed in rad/s².

In this problem we have to calculate time, but the angular velocity id not given.

Consider the angular velocity is 3 rad/s.

Given,

Angular displacement θ = 2π

angular velocity ω = 3 rad/s

Time t = ?

Time = θ/ω

Time = 2π/3 rad/s = 2 s

Hence the answer is 2s.

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Explanation:

a variable In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation.

a unit In math, the word unit can be defined as the rightmost position in a number or the one's place

It happens due to the elasticity of balloon.Also, the pressure inside the balloon of air is higher than outside, which creates a difference between the surrounding air pressure and the pressure inside the balloon.

why, when popped, does a fully inflated balloon make a louder noise than a partially inflated balloon?

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Answer:

1 Ampere.

Explanation:

From the question given above, the following data were obtained:

Resistor 1 (R₁) = 20 ohm

Resistor (R₂) = 20 ohm

Voltage (V) = 10 V

Current (I) =?

Next, we shall determine the equivalent resistance in the circuit. This can be obtained as follow:

Resistor 1 (R₁) = 20 ohm

Resistor (R₂) = 20 ohm

Equivalent Resistance (R) =?

Since the resistors are in parallel connection, the equivalent resistance can be obtained as follow:

R = (R₁ × R₂) / (R₁ + R₂)

R = (20 × 20) / (20 + 20)

R = 400 / 40

R = 10 ohm

Finally, we shall determine the total current in the circuit. This can be obtained as illustrated below:

Voltage (V) = 10 V

Equivalent Resistance (R) = 10 ohm

Current (I) =?

V = IR

10 = I × 10

Divide both side by 10

I = 10 / 10

I = 1 Ampere

Therefore, the total current in the circuit is 1 Ampere.

There would be  no change in the shape of the force extension graph.

We have to note that the Hooke's law states that, the force that is applied on an object would be proportional to the extension on the object. As long as the elastic limit is not exceeded.

In the case of the material, we have been told that the material would have twice its original diameter. We must note that the diameter of the object does not affect the force extension graph hence there is no change  in the graph.

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Answer:

The first reason for children to have pretend play is that it allows the child to learn how to interact socially. The child is able to take turns, share responsibility, develop how people feel and react the situation. Another reason is that it helps the child develop their critical thinking skills. They may have to creatively solve a problem, or think what they may need in real life for the pretend play. It increases the child's ability to think through those types of situations. The final reason it is important for a child to have pretend play is that it helps develop their language skills. If the child is imitating a dad, mom, teacher, etc. they will attempt to use the same language that person uses. This helps the child connect new language abilities and skills.

Explanation:

Answer:

The top 3 reasons for encouraging children to pretend play and make-believe include:

1. To encourage imagination and creativity.

2. To support social and emotional development.

3. To improve language and communication skills.