josh and nancy don't have a portable cooler, so they put a bunch of ice in a big clear plastic tupperware to take to the beach. the tupperware holds of ice that was originally at a temperature of . thermal energy from the outside of the tupperware flows to the ice in the container at rate of . from the time when the heating begins, how much time (in hours) does it take before the ice turns into water at ?

Answers

Answer 1

It will take a certain amount of time for the ice to turn into water at a given temperature, given that the ice is initially at a certain temperature and is subjected to heat from the surroundings at a certain rate.

The specific time required for the ice to turn into water at a given temperature depends on the specific values of the initial temperature of the ice and the rate of heat flow from the surroundings.

In order to calculate the time required for the ice to turn into water at a given temperature, one would need to use the principles of thermodynamics and heat transfer.

Specifically, one would need to use the equation for the rate of heat transfer, which takes into account the temperature difference between the ice and the surroundings, the thermal conductivity of the material, and the surface area of the container.

The time required for the ice to turn into water can then be calculated by determining the amount of heat required to melt the ice and dividing it by the rate of heat transfer.

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Related Questions

find the vectors whose lengths and directions are given. try to do the calculations without writing. length direction a. 7 −j b. 2 −35i−45k c. 1312 313i−413j−1213k d. a>0 12i 13j−16k find a vector of magnitude 7 in the direction of v

Answers

To find a vector of magnitude 7 in the direction of vector v, we need to scale the given vector v to have a length of 7 while preserving its direction.

Given a vector v, we are tasked with finding a vector that has a magnitude of 7 and is in the same direction as v. To achieve this, we can use scalar multiplication, which involves multiplying the vector by a scalar value to change its length while keeping its direction intact.

Let's assume vector v has components (x, y, z). To find the scalar value, let's calculate the magnitude (length) of v using the formula |v| = sqrt(x^2 + y^2 + z^2). Once we have the magnitude, we can divide 7 by |v| to determine the scaling factor.

Finally, we multiply each component of vector v by the scaling factor to obtain a vector that has a magnitude of 7 and points in the same direction as v.

It's important to note that the direction of a vector is determined by the ratios of its components, not the specific values themselves. Thus, multiplying the components by the scaling factor preserves the direction while adjusting the magnitude.

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what is periscope ? where it is used?​

Answers

Explanation:

The periscope is used in the submarines to see what is going on the water surface.

It is also used in some gun turrets and it is used in armed vehicles.

✨Hope it helps.✨

what is periscope ? where it is used?
A periscope is an object/tool used to see things that are not in direct line of sight, and to be able to see while staying behind cover. For example, in a tank, a submarine, or behind armor.

A spotlight is coated so that it won’t transmit magenta light from its white-hot filament. what color is the emerging beam of light?

Answers

Green color is the emerging beam of light.

To find the answer, we have to know about the complimentary colors.

What color is the emerging beam of light?A spotlight's coating prevents the magenta light from its white-hot filament from passing through. This indicates that the magenta is absorbed here and will be replaced by its complementary color. Magenta, the eighth color, combines the energies of red and violet and is not a color of the visible spectrum. Complementary colors are located opposite one another on the color wheel. Magenta enables us to combine our high spiritual awareness with our earthy experience and grounding. Green is hence magenta's complimentary color.

Thus, we can conclude that, green color is the emerging beam of light.

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Trina conducted an experiment to determine the average amount of salt in 1 liter of ocean water by allowing the water to evaporate and measuring the remaining salt.

Her results are shown below.
Trial Salt
1 9.9 g
2 14.2 g
3 8.7 g
4 13.4 g
What is the mean weight of the salt precipitate?
A.
46.2 g
B.
11.7 g
C.
11.3 g
D.
11.5 g

Answers

Answer:

The answer is . A 46.2g

In Material Science, If The Material Is Linearly Elastic, The Stress And Strain Are Directly Related To The Equation Below: E=Εσ

Answers

As long as the applied stress is removed, a material that is linearly elastic experiences stress and strain that are directly proportional within the elastic limit.

In a material that is linearly elastic, the Young's modulus (E), stress, and strain are all related by the equation you supplied, E =. Here is a quick definition of each phrase:

(E) Young's modulus It is a way to gauge how hard or stiff a material is. Within the elastic limit of the material, it indicates the stress to strain ratio. The stiffer the material, the higher the Young's modulus.

Stress (): The force exerted to a material's surface area is called stress. The internal resistance of a material to deformation under an applied force is measured by stress.

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Jocelyn is running for the U.S Senate. What is one of the qualifications for office she must meet?


have resided in the United States for at least 10 years


have served as Governor of the state she will represent.


reside in the state she will represent


have been a member of the U.S. House of Representatives

Answers

Answer:

b

Explanation:

Answer:

Reside in the state she represents.

Explanation:

Every position in government needs at least one qualification. she needs to reside in the state she represents because U.S Senators represent their state witht he views and stuff.

Hope this helps :)

Rank the following in order of increasing force of attraction between its submicroscopic particles: (a) sugar, (b) water, (c) air.

Answers

The order of increasing force of attraction between submicroscopic particles is (c) air < (b) water < (a) sugar.

This is because sugar molecules have stronger intermolecular forces of attraction than water, and air molecules have weak intermolecular forces of attraction compared to both sugar molecules and water molecules.Force of attraction is a force that pulls the body near due to its attraction. There are numerous attractive forces prevailing in nature. Some of them are magnetic force, electric force, electrostatic force and gravitational force

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When a bat hits a baseball, what is transferred from the bat to the ball?​

Answers

Answer:

kinetic energy

Explanation:

Calculate the mass (in kg) of 54.3 m³ of granite. The density of granite is 2700 kg/m³. (Remember: density = mass / volume)

Answers

To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.

We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:

Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³

The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.

We then solve the equation to get the mass:mass = 146,610 kg

Therefore, the mass of 54.3 m³ of granite is 146,610 kg.

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According to Hooke’s law, if you hang by a tree branch and note how much it bends, then hanging with twice the weight

a. Bends the branch four times as much


b. Produces the same bend if the branch doesn’t break


c. Normally produces twice the bend


d. Produces half the bend

Answers

Hooke's law states that when a spring is elongated, it exerts a force that is proportional to its extension. When an object is stretched or compressed, the amount it is stretched or compressed is proportional to the force applied to it. The distance an object is stretched or compressed is proportional to the weight or force that is applied to it.

Therefore, when you hang from a tree branch and note how much it bends, you can calculate the amount of weight that was applied. If you then hang with twice the weight, the branch will normally produce twice the bend, according to Hooke's law. Hence the correct option is c. Normally produces twice the bend.

It is important to note that this is an ideal scenario, and the actual amount of bending can vary depending on various factors such as the elasticity and strength of the branch, as well as external conditions like wind and temperature. Additionally, when the weight exceeds the limit of the branch, it will break regardless of the amount of bend.

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How many excess electrons must be added to an isolated spherical conductor 32.0 cm in diameter to produce an electric field of 1150 N/C just outside the surface?

Answers

1.72 x 10^12 excess electrons must be added to the isolated spherical conductor to produce an electric field of 1150 N/C just outside the surface.

The electric field just outside the surface of a charged sphere is given by:

E = (1/4πε0) (Q/r^2)

where E is the electric field, Q is the charge on the sphere, r is the radius of the sphere, and ε0 is the permittivity of free space.

Rearranging this equation to solve for Q, we get:

Q = Er^2 / (1/4πε0)

Substituting the given values, we get:

Q = (1150 N/C) x (0.16 m)^2 / (1/4πε0) = 2.76 x 10^-7 C

The number of excess electrons needed to produce this charge can be calculated by dividing Q by the charge of a single electron, which is approximately 1.602 x 10^-19 C:

n = Q / e = (2.76 x 10^-7 C) / (1.602 x 10^-19 C) = 1.72 x 10^12 electrons

Therefore, The isolated spherical conductor needs 1.72 x 10^12 more electrons to produce an electric field of 1150 N/C just outside the surface.

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how much work www does the motor do on the platform during this process? enter your answer in joules to four significant figures.

Answers

The motor in the platform works for W=1885J during this process.

What is joules?

The amount of energy expended when a force of one newton is applied across a displacement of one meter is known as a joule. A joule is equal to one watt of electricity emitted or lost over the course of one second. The British thermal unit (Btu) is sometimes used to express energy. the work- or energy-measurement unit derived from the SI. The energy required to accelerate a body with a mass of one kilogram over a distance of one meter using one newton of force is equal to one joule. Additionally, one joule is equal to one watt-second.

What is joules formula?

The energy required to exert one newton of force through one meter is measured in joules. For instance, the energy required to lift a one-kilogram object one meter is given by E = Fd = (ma)d = mgd = (1 kg)(9.8m/s2)(1 m) = 9.8 kg m/s2 = 9.8 joules.

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Which of the following most likely describes a Group 10 element?
O Good conductor of heat
O Gas at room temperature
O A member of the carbon group
O Poor conductor of electricity

Answers

Answer:

A. Good conductor of heat

Explanation:

The group 10 elements are a group of chemical elements as part of VIII elements and they include nickel, platinum, palladium etc. These group of chemical elements are all d-block transition metals, highly ductile and lustrous and are mostly white to light grey in color.

The statement which most likely describes a Group 10 element is that they are good conductor of heat because they have some of the chemical and physical properties of metals.

An engine raises 100kg of water through a height of 60m in 20s. what is the power of the engine​

Answers

Answer:

the answer is 3000

Explanation:

power=mass×gravity×height or (divided by /Time)

so 100kg×10×60m/20s

=60,000/20

=3000joule

if I am wrong correct me

state the effect of momentarily touching the conductor with a finger while the charged rod is still near the conductor​

Answers

\(\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}\)

state the effect of momentarily touching the conductor with a finger while the charged rod is still near the conductor

If Im Mistaken it Changes Access

\(\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}\)

If you have an insulator that's charged up with a negative charge, and you touch a conductor, the negatively charged excess electrons will move to the conductor until the electrons would rather not move anywhere at all. When this happens, we say that the system has reached equilibrium

\(\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}\)

-PoliteCat

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\(\large\boxed{\text{Together We Go Far!}}\)

Average Power in an L-R-C CircuitA circuit consists of a resistor (resistance R), inductor (inductance L), and capacitor (capacitance C) connected in series with an AC source supplying sinusoidal voltage V0cos(ωt). Assume that all circuit elements are ideal, so that the only resistance in the circuit is due to the resistor. Also assume that ω is the resonant frequency of the circuit.Part AWhat is the average power Pavg supplied by the voltage source?Express your answer in terms of any or all of the following quantities: V0, C, L, and R.Pavg =

Answers

The average power supplied by the voltage source in the L-R-C circuit is given by Pavg = V₀² / (2 × R) this expression in the V₀ and R form.

In an ideal L-R-C circuit driven by a sinusoidal voltage source V₀cos(ωt), the power dissipated in the resistor (P(R)) can be calculated as follows:

P(R) = I(RMS)² × R

where I(RMS) is the root mean square (RMS) value of the current through the resistor, and R is the resistance of the resistor.

At the resonant frequency (ω), the inductive reactance (XL) and capacitive reactance (XC) cancel each other out, resulting in a purely resistive circuit. Therefore, the current is in phase with the voltage.

The RMS current (I(RMS)) can be calculated using Ohm's law:

I(RMS) = V(RMS) / R,

I(RMS) = V₀ / (√(2) × R).

Now, we can calculate the average power supplied by the voltage source:

Pavg = P(R)

= I(RMS)² × R

= (V₀ / (√(2) × R))² × R

= V₀² / (2 × R).

Therefore, the average power supplied by the voltage source in the L-R-C circuit is given by Pavg = V₀² / (2 × R).

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Suppose 435 mL of Ne gas at 21 °C and 1. 09 atm, and 456 mL of SF6 at 25 °C and 0. 89 atm are put into a 325 mL flask at 30. 2 °C (a) What will be the total pressure in the flask? (b) What is the mole fraction of for each of the gases in the flask?

Answers

(a) To determine the total pressure in the flask, we need to consider the partial pressures of each gas present and add them together.

Using the ideal gas law, we can calculate the partial pressure of each gas:

PV = nRT

For Ne gas:

P₁V₁ = n₁RT

P₁ = (n₁/V₁)RT

For SF6 gas:

P₂V₂ = n₂RT

P₂ = (n₂/V₂)RT

To find the total pressure, we add the partial pressures:

P_total = P₁ + P₂

(b) The mole fraction (χ) of each gas can be calculated using the formula:

χ = moles of gas / total moles of gas

To find the moles of each gas, we use the ideal gas law rearranged:

n = PV / RT

Now, let's calculate the values.

Given:

Volume of Ne gas (V₁) = 435 mL = 0.435 L

Temperature of Ne gas (T₁) = 21 °C = 294 K

Pressure of Ne gas (P₁) = 1.09 atm

Volume of SF6 gas (V₂) = 456 mL = 0.456 L

Temperature of SF6 gas (T₂) = 25 °C = 298 K

Pressure of SF6 gas (P₂) = 0.89 atm

Volume of flask (V_total) = 325 mL = 0.325 L

Temperature of flask (T_total) = 30.2 °C = 303.2 K

Gas constant (R) = 0.0821 L·atm/(K·mol)

(a) To calculate the total pressure:

P₁ = (n₁/V₁)RT₁

P₁ = (PV₁/RT₁)

P₂ = (n₂/V₂)RT₂

P₂ = (PV₂/RT₂)

P_total = P₁ + P₂

(b) To calculate the mole fraction:

n₁ = P₁V_total / RT_total

n₂ = P₂V_total / RT_total

χ₁ = n₁ / (n₁ + n₂)

χ₂ = n₂ / (n₁ + n₂)

By plugging in the given values and performing the calculations, we can find the total pressure in the flask and the mole fraction of each gas.

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A bus is moving at a speed of 45 km/h. What is the speed of
the bus in m/s?
a) 1.25×101 m/s
b) 1.5×103 m/s
c) 2.5 m/s
d) 1.5×102 m/s

Answers

.

We want to convert the speed of the bus from kilometers per hour to meters per second.

To do this, multiply the speed in km/hr by 1,000 and divide by 3,600.

The formula to do this is: 1 km/hr = 1,000/3,600 m/s

Therefore, we have that 45 km/hr is:

45 x 1000/ 3,600 ➡️ 12.5 m/s = 1.25 x 10 to the 1st power m/s

The answer is option A.

Read the following dream interpretation and answer the question that follows.
"I suspect that the patient's dream of being chased originates from his unresolved feelings of guilt during childhood."
What perspective of dream interpretation is being offered?
A. Freudian
B. activation-synthesis
C. Jungian
D. motivation

Answers

Answer:

Freudian

Explanation:

Answer:

Freudian

Explanation:

Express all answers in scientific notation and state their units clearly Given D = M/V Find D When M = 2.5kg V =50m³​

Answers

Answer:

In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.

Explanation:

To find D, we just need to divide M by V.

M = 2.5 kg

V = 50 m³

D = M/V = 2.5 kg / 50 m³ = 0.05 kg/m³

The unit of density (D) is kg/m³, which can also be expressed as g/cm³.

In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.

Write a set of turtle instructions to draw an AND gate.

Answers

The turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

To draw an AND gate using turtle graphics, you can use the following set of instructions:

Set up the turtle:

a. Set the turtle's initial position.

b. Set the turtle's pen color and size.

Draw the first input line:

a. Move the turtle forward to the starting point of the line.

b. Draw a straight line segment to represent the first input.

Draw the second input line:

a. Move the turtle to the starting point of the second line.

b. Draw a straight line segment to represent the second input.

Draw the output line:

a. Move the turtle to the starting point of the output line.

b. Draw a straight line segment to represent the output.

Draw the logic gate shape:

a. Move the turtle to the starting point of the gate.

b. Draw a rectangle to represent the gate.

c. Add any necessary labels or symbols to indicate it as an AND gate.

Add connections between lines and gate:

a. Move the turtle to the intersection point of the first input line and the gate.

b. Draw a small line segment to connect the input line to the gate.

c. Repeat the above step for the second input line and the gate.

d. Draw a small line segment to connect the output line to the gate.

Repeat the above steps as necessary to draw multiple AND gates or any additional components.

Remember to adjust the turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

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a varistor is a two-terminal device which primarily changes in resistance as the temperature changes. true or false

Answers

The following statement “a varistor is a two-terminal device which primarily changes in resistance as the temperature changes” is False.

A varistor is a two-terminal device that primarily changes its resistance in response to changes in voltage, not temperature. Varistors are voltage-dependent resistors, also known as voltage-dependent or voltage-sensitive resistors (VDRs). They are designed to protect electronic circuits from overvoltage conditions by acting as voltage clamps.

Varistors have a high resistance at normal operating voltages, but their resistance decreases significantly when the voltage exceeds a certain threshold, known as the "clamping voltage." They are made from semiconducting materials, usually metal oxide compounds such as zinc oxide, and their resistance characteristics are nonlinear, meaning the resistance decreases exponentially with increasing voltage.

When a varistor is subjected to excessive voltage, it starts conducting current, shunting the excess voltage away from the sensitive components of a circuit and preventing damage. Once the voltage returns to normal levels, the varistor's resistance returns to its high state.

Therefore, varistors primarily respond to changes in voltage, not temperature.

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Compared to a human, what is similar about how blue whales organism gets molecules from food and air?

Answers

Answer:

whrn a human breath it absorb15 % of oxygen whereas when a bluewhale breathes it can absorb 90% and breath out 10 %

There are some similarity between some natures of blue whales and humans. Both are respring from air. Similarly the immunity systems and chewing mood of food in both have slight similarities.

What are blue whales?

Blue whales are fish like organisms living in deep oceans or seas. They are the known largest animal in the world. Blue whales are mammals and not like other small aquatic organisms.

The immunity system in blue whales are similar to those of humans. And moreover some studies shows that their tRNA genes functions similar to those in human.

Blue whales breathe from air and not from the water. Similarly they chew food sometimes similar to humans. Some studies have reported that the evolution of humans and blue whales had exhibited some common factors with respect to the survival and immunity.

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a spaceship explodes in deep space and the fragments go in all different directions. does this event conserve momentum?

Answers

If a system is isolated, then whether it is a collision or an explosion, each object involved encounters the identical impulse to cause the same momentum change.

What are the event conserve momentum?

Since the initial energy was changed into multiple kinds of energy during the explosion, the initial kinetic energy was not conserved. However, because mass is broken into fragments with velocities that are inversely proportional to mass, momentum will be conserved.

The linear momentum of two objects in an isolated system that are at rest and are driven apart by an explosion is constant. The two objects are initially at rest with zero linear motion (because vi2 and vi2 are both equal to zero).

Therefore, each object has an equal but opposite change in impulse and momentum. As a result, the system's overall momentum is conserved.

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a) A cell of dry air is moved vertically from its original position under adiabatic conditions. Depending on the temperature profile of the surrounding atmosphere, this gas cell can keep on moving in the same direction, or it may come back to its original position. Considering the temperature profile of the atmosphere, change of the air cell temperature as it moves up and down in the surrounding atmosphere, as well as relative densities of the air cell and atmosphere, explain why and when the atmosphere is considered to be convectively stable and convectively unstable. In answering this question, use diagrams of temperature change with altitude. (13 marks) b) Explain why the adiabatic lapse rate of dry air is different from the adiabatic lapse rate of wet saturated air. Show them both in a diagram. (5 marks) c) Wet unsaturated air rises from the ocean surface. The ambient lapse rate is higher than the adiabatic lapse rate for dry air. There is a temperature inversion layer at higher altitudes. Show in a schematic diagram how the temperature of the wet air changes with altitude, in comparison with the ambient temperature. Explain at what altitudes the cumulus clouds are formed and why. (7 marks)

Answers

The question addresses the stability of the atmosphere and the factors that determine convective stability or instability. It also explains the difference between the adiabatic lapse rate of dry air and wet saturated air.

a) The stability of the atmosphere is determined by the temperature profile and relative densities of the air cell and atmosphere. If the temperature of the surrounding atmosphere decreases with altitude at a rate greater than the adiabatic lapse rate of the air cell, the atmosphere is considered convectively stable.

In this case, the air cell will return to its original position. Conversely, if the temperature of the surrounding atmosphere decreases slower than the adiabatic lapse rate of the air cell, the atmosphere is convectively unstable. The air cell will continue moving in the same direction.

b) The adiabatic lapse rate refers to the rate at which temperature decreases with altitude for a parcel of air lifted or descending adiabatically (without exchanging heat with its surroundings). The adiabatic lapse rate of dry air is higher (around \(9.8^0C\) per kilometer) compared to the adiabatic lapse rate of wet saturated air (around 5°C per kilometer).

This difference arises because when water vapor condenses during the ascent of saturated air, latent heat is released, reducing the rate of temperature decrease. A diagram can illustrate the difference between the two lapse rates, showcasing their respective slopes.

c) When wet unsaturated air rises from the ocean surface, its temperature decreases at a rate equal to the dry adiabatic lapse rate. However, if the ambient lapse rate (temperature decrease with altitude) is higher than the adiabatic lapse rate for dry air, a temperature inversion layer forms at higher altitudes.

In this inversion layer, the temperature increases with altitude instead of decreasing. A schematic diagram can depict the temperature changes of the wet air in comparison to the ambient temperature, showing the inversion layer.

Cumulus clouds form at the altitude where the rising moist air reaches the level of the temperature inversion layer. These clouds are formed due to the condensation of water vapor as the air parcel cools to its dew point temperature.

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the spring is placed on a horizontal, frictionless surface. how much work must be done on the spring to stretch it 5.0cm5.0cm from its natural length?

Answers

To stretch the spring by 5.0 cm on a horizontal, frictionless surface, work must be done equal to the potential energy stored in the spring when it is compressed by that amount. It depends on the spring constant and the displacement of the spring from its natural length.

When a spring is stretched or compressed, it stores potential energy due to its elasticity. This potential energy can be calculated using the formula:

Potential energy (PE) = \(\frac{1}{2} * k * x^2\)

where k is the spring constant (a measure of the spring's stiffness) and x is the displacement from the spring's natural length. In this case, the spring is stretched by 5.0 cm, which is 0.05 meters (since 1 cm = 0.01 m).

To find the work (W) required to stretch the spring by 5.0 cm, we can use the formula for potential energy:

W = PE = \(\frac{1}{2} * k * x^2\)

Plugging in the values:

W = \(\frac{1}{2} * k * (0.05)^2\)

W = \(\frac{1}{2} * k * 0.0025\)

Therefore, the work done on the spring to stretch it by 5.0 cm is directly proportional to the spring constant (k). The higher the spring constant, the more work will be required to achieve the same displacement.

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You are so excited that you have finished this test that you give your friend a huge high five with 20N of force.

With how much force does your friend's hand high five you back?

Answers

Answer:

20N

Explanation:

newtons 3rd law every action has an equal opposite reaction

I'm not too sure

Electricity is produced by the movement of which?

Answers

Answer:

Electrons is your answer

Explanation:

Answer:

Electrons!

Explanation:

Electricity is the energy generated by the movements of electrons (negative charge) and positrons (positive charge) within conductive materials.

Hope this helps! <3

An attack helicopter is equipped with a 20- mm cannon that fires 187 g shells in the forward direction with a muzzle speed of 985 m/s. The fully loaded helicopter has a mass of 2640 kg. A burst of 109 shells is fired in a 3.78 s interval. What is the resulting average force on the helicopter

Answers

The resulting average force on the helicopter is approximately 198,763 N.

To find the resulting average force on the helicopter, we need to consider the momentum change caused by the fired shells.

The momentum change can be calculated using the formula: Δp = m * Δv, where Δp is the change in momentum, m is the mass of the shells, and Δv is the change in velocity.

The mass of each shell is given as 187 g, which is equivalent to 0.187 kg. The change in velocity is the difference between the muzzle speed of 985 m/s and the final velocity, which is zero since the shells are fired in the forward direction.

The change in momentum for each shell is Δp = (0.187 kg) * (985 m/s - 0 m/s) = 184.295 kg·m/s.

The total change in momentum for the burst of 109 shells is then Δp_total = (109 shells) * (184.295 kg·m/s) = 20,083.155 kg·m/s.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. Thus, the momentum change of the shells results in an equal and opposite momentum change for the helicopter.

The mass of the fully loaded helicopter is given as 2640 kg, so the change in velocity for the helicopter can be calculated as Δv_helicopter = Δp_total / m_helicopter = 20,083.155 kg·m/s / 2640 kg = 7.61 m/s.

Using the formula F = Δp / Δt, where F is the force, Δp is the momentum change, and Δt is the time interval, we can calculate the average force on the helicopter.

The time interval is given as 3.78 s, so the average force is F = 20,083.155 kg·m/s / 3.78 s = 5,303.97 N.

However, this force is the force exerted by the shells on the helicopter. To find the resulting average force on the helicopter itself, we need to consider the mass of the helicopter and the acceleration due to the change in velocity.

The resulting average force on the helicopter is then F_resultant = m_helicopter * Δv_helicopter / Δt = 2640 kg * 7.61 m/s / 3.78 s ≈ 198,763 N.

Therefore, the resulting average force on the helicopter is approximately 198,763 Newtons.

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how long does it take a 5kW shower to use 25000J of energy?

Answers

Explanation:

p=5kw=5000w t=? p=w/t, t=w/p

w=25000j t=25000j/5000w

=5s

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