An ice cube is placed in a microwave oven. Suppose the oven delivers 105 W of power to the ice cube and that it takes 32,200 J to melt it. How long does it take for the ice cube to melt?

Answer:

The length of a year is defined by the time it takes to orbit the sun. This is determined by the orbital path and speed at which a body takes around the sun. Thus, if a celestial body moves farther from the sun, the length of the path is increased, and a year takes longer.

Explanation:

Answer:

Thermal conductors facilitate heat, the transfer of thermal energy.

Answer: Thermal conductors facilitate heat, the transfer of thermal energy.

Answer:

The answer is not able to be solved, because we dont know what objects are in it, and how heavy they are. More information please!

Explanation:

Answer:

The correct answer is option A: they are isotopes.

Explanation:

From atom X we know that the number of protons is 7 and the number of neutrons is 7 and from atom Z we know that the number of protons is 7 and the number of neutrons is 8.

Since the number of protons of atom X and atom Z is the same, we have that atom X and atom Z is the same element. The difference in the number of neutrons tells us that atom X and atom Z are isotopes. Remember that an isotope is one element that has atoms with different numbers of neutrons.            

The mass number is given by:              

\( A = p + n \)

Where n is the number of neutrons and p is the number of protons.

For atom X and atom Z we have:

\( A_{x} = 7 + 7 = 14 \)

\( A_{z} = 7 + 8 = 15 \)

Hence, they have a different mass number.  

We know that the element with 7 protons is nitrogen. The first isotope is \(^{14}_{7}N\) and the second isotope is \(^{15}_{7}N\). Both isotopes are stables (they are not radioactive).  

Therefore, the correct answer is option A: they are isotopes.

I hope it helps you!                                                          

The displacement of Sue would be zero if her home is the origin.

This is because displacement is the change in the position of an object from its origin. To calculate displacement, you have to know the difference in distance of an object from its origin point to its final position. In short, the formula is as follows:

  s = x1 - x2 = Δx

If Sue's home is the origin, then her displacement would be the difference between her final position (home) and her initial position (home), which is zero. Therefore, Sue's displacement is zero.

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Answer:

Number 6:

• From the formula of force:

\(force = mass \times acceleration \\ { \boxed{f = ma}}\)

• But we need to get the acceleration, from the first newtons equation of motion

\(v = u + at\)

• v is the final velocity, but v is zero because the bullet came to rest.

• u is the initial velocity, u = 350 m/s

• a is the acceleration that we need

• t is the time, t = 0.0018 seconds.

» let's now substitute:

\(0 = 350 + (a \times 0.0018) \\ 0.0018a = - 350 \\a = - 194444.44 \\ { \underline{ \: \: |a| = 194444.44 \: m {s}^{ - 2} }}\)

[ negative shows retârdation or deceleration or decrease in speed ]

• Therefore, let's find the force:

mass = 6g = (6/1000) kg = 0.006 kg

\(force = m \times |a| \\ f = 0.006 \times 194444.44 \\ { \underline{ \underline{ \: \: force = 1166.67 \: \: { \sf{newtons \: \: }}}}}\)

Exaggerated feelings of self-importance are most closely linked with narcissism. Narcissism is a personality trait characterized by an inflated sense of self-worth, an excessive need for admiration, and a lack of empathy towards others.

Individuals with narcissistic traits often believe they are superior to others, crave attention and validation, and have a grandiose self-image.

They may engage in self-promotion, seek constant admiration, and exploit others for personal gain. Narcissism is associated with a sense of entitlement, a tendency to manipulate and exploit others, and a lack of empathy or concern for the well-being of others.

While a certain level of self-confidence and self-esteem is healthy, excessive narcissism can negatively impact relationships, lead to interpersonal conflicts, and hinder personal growth and development.

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Answer:

B

Explanation:

Answer:

a)Acceleration increases proportionally

b)If you increase the mass at a given force the rate of acceleration slows.

To determine the transfer function of an inductor in parallel with a current source and a capacitor in series with a resistor, write the circuit equation, find the Laplace transform of the equation, rearrange the equation to solve for I(s), and determine the transfer function H(s) by dividing I(s) by V(s).

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A) Electrons should be accelerated through a potential difference of  51.6 kV

B) 117.3 MV would be needed to give protons the same kinetic energy as the electrons. C)117.3 MV would give protons a speed of 0.999 times  speed of light. D)v/c x 100% ≈ 99.9%

Energy an object has because of its motion is known as kinetic energy.

A.) Kinetic energy of an electron accelerated through a potential difference of V volts is : KE = eV

KE = (γ - 1)mc²

γ is  Lorentz factor, m is rest mass of the electron, and c is speed of light.

eV = (γ - 1)mc²

V = (γ - 1)mc² / e

V = (1.021 - 1) x 9.11 x 10⁻³¹ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)

V ≈ 51.6 kV

Therefore, the electrons should be accelerated through a potential difference of approximately 51.6 kV to reach a speed of 2.1% of the speed of light when they hit the target.

B.) KE = eV

e is charge on the proton

(γp - 1)mpc² = (γe - 1)mec²

γp is Lorentz factor of the proton, mp is rest mass of the proton, and me is rest mass of the electron.

V = [(γp - 1)mpc² - (γe - 1)mec²] / e

V = [(1 - v²/c²\()^{(-1/2)\) - 1] x 1.67 x 10⁻²⁷ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)

[(1 - v²/c²\()^{(-1/2)\) - 1] x 1.67 x 10⁻²⁷ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C) = 51.6 x 10³ V

(1 - v²/c²\()^{(-1/2)\) - 1 = 3.07 x 10⁻¹¹

(1 - v²/c²\()^{(-1/2)\) = 1 + 3.07 x 10⁻¹¹

1 - v²/c² = (1 + 3.07 x 10⁻¹¹)⁻²

v = c x √(1 - (1 + 3.07 x 10⁻¹¹)⁻²

V = [(1 - (1 + 3.07 x 10⁻¹¹\()^{(-1)\)) x 1.67 x 10⁻²⁷kg x (3.00 x 10⁸ m/s)²] / (1.60 x 10⁻¹⁹ C)

V ≈ 117.3 MV

Therefore, a potential difference of approximately 117.3 MV would be needed to give protons the same kinetic energy as the electrons.

C. γp = V / (mc²/e)

= 117.3 x 10⁶ V / [(1.67 x 10⁻²⁷ kg) x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)]

γp ≈ 1.85 x 10⁸

(1 - v²/c²\()^{(-1/2)\) = 1.85 x 10⁸

v = c x √(1 - 1/(1.85 x 10⁸)²)

v ≈ 0.999c

Therefore, the potential difference of 117.3 MV would give protons a speed of approximately 0.999 times the speed of light.

D. Expressing the speed as a percentage of the speed of light, we get: v/c x 100% ≈ 99.9%

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The word "thermodynamics" stems from a Greek expression related to the movement of heat and thermal mechanics.

The word "thermodynamics" is derived from two Greek words: "thermo" meaning heat, and "dynamics" meaning movement. Together, they represent the study of the movement of heat and its relationship with other forms of energy. Thermodynamics encompasses the principles and laws that govern the behavior of energy, particularly heat energy, in systems. It deals with topics such as temperature, pressure, energy transfer, and the conversion of heat into work. The word highlights the central focus of thermodynamics on the movement, transfer, and transformation of thermal energy in various systems and processes.

Thermodynamics is derived from the Greek words "thermo" (meaning heat) and "dynamis" (meaning power or movement). Therefore, the term "thermodynamics" refers to the study of the movement or transfer of heat and its relationship with energy and work. It encompasses the principles and laws that govern the behavior of energy and heat in various systems.

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Answer:

36,125KiloJoules.

Explanation:

K.E= 1/2MV².

that's 0.5 X 10,000 X 85.

which equals 36, 125, 000 Joules or 36,125 Kilo Joules.

Answer:

36,125,000 Joule is the answer according to the formula KE=1/2×m×(v)2

This experiment setup allows you to observe the behavior of an RC circuit when the capacitor is not charging.

The experiment setup involves setting up an RC circuit with an open switch, so the capacitor is not charging at time t.

To understand this experiment setup, let's break it down into steps:

1. Start by setting up an RC circuit. An RC circuit consists of a resistor (R) and a capacitor (C) connected in series or parallel. The resistor limits the flow of current, while the capacitor stores electrical charge.

2. In this setup, the switch is open, which means it is not closed or connected. This prevents the flow of current in the circuit.

3. Since the switch is open, the capacitor is not charging at time t. Charging a capacitor involves the flow of current through it, which is hindered by the open switch in this case.

Overall, this experiment setup allows you to observe the behavior of an RC circuit when the capacitor is not charging. By examining the circuit's response in this state, you can gain insights into the characteristics of capacitors and their interaction with resistors in the circuit.

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The resistance you need to connect in parallel to a 141 Ω resistor to get a total of 48.0 Ω is 22.0 Ω.

Given resistors:

R1 = 335 Ω

R2 = 2.50 kΩ = 2500 Ω

R3 = 3.80 kΩ = 3800 Ω

Formula for calculating resistors connected in series:

RT = R1 + R2 + R3

For this circuit:

RT = 335 Ω + 2500 Ω + 3800 Ω

RT = 6635 Ω

Formula for calculating resistors connected in parallel:

1/RT = 1/R1 + 1/R2 + 1/R3

Calculating for this circuit:

1/RT = 1/335 Ω + 1/2500 Ω + 1/3800 Ω

RT = 130.1 Ω

To find the resistance needed to connect in parallel to a 141 Ω resistor to get a total of 48.0 Ω:

1/RT = 1/R1 + 1/R2

R1 = 141 Ω

RT = 48 Ω

141||R2 = 48

R2 = 28.7 Ω

Therefore, the resistance needed to connect in parallel to a 141 Ω resistor to get a total of 48.0 Ω is 22.0 Ω.

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Answer:

kamalong with me to the butter fly and bee

Approximately, a 70-kg male (height =1.75 m ) needs to run for 8.5 hours to consume the energy produced by the consumption of 100 g of fat.

To calculate the time required for a 70-kg male to burn the energy produced by consuming 100 g of fat, follow these steps:

Step 1: Calculate surface area Surface area = 0.20247\(m^2\) [body surface area (BSA) ] is calculated using the formula BSA = (height (cm) x weight (kg)) / 3600.

Therefore, \(BSA = (175 cm x 70 kg) / 3600 = 0.20247 m^2\)

Step 2: Determine the energy produced from burning 100 g of fat The energy produced from burning 1 g of fat is equal to 9 kcal. Therefore, the energy produced from burning 100 g of fat is equal to:

Energy produced = 9 kcal/g x 100 g = 900 kcalStep 3: Calculate the metabolic rate of running in kcal/hour. Metabolic rate of running = 600 kcal/m^2/hour. Convert the body surface area from meters to square meters: Metabolic rate of running = \(600 kcal/m^2/hour x 1 m^2 / 10.764 ft^2 = 55.79 kcal/ft^2/hour\)

Step 4: Calculate the amount of time it would take to burn the energy produced from 100 g of fat. We can use the following formula: Energy expenditure (kcal) = metabolic rate (kcal/m^2/hr) x body surface area (m^2) x time (hours)Therefore, time (hours) = energy expenditure (kcal) / (metabolic rate (kcal/m^2/hr) x body surface area (m^2)) time (hours) =\(900 kcal / (55.79 kcal/ft^2/hr x 0.20247 m^2) = 8.5 hours\)

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MAIN ANSWER- \(5/\sqrt{21} sec\)

supporting answer-When a body is moving, it experiences resistance because it interacts with its surroundings. This resistance is a friction force. Friction opposes relative motion between systems in contact but also allows us to move, a concept that becomes obvious if you try to walk on ice. Friction is a common yet complex force, and its behavior still not completely understood. Still, it is possible to understand the circumstances in which it behaves.

body of the answer- a block of mass m with 10kgs is sliding on a inclined plane with frictionless surface

final answer- \(5/\sqrt{21} sec\)

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The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

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The car can safely slow down to a velocity of 2.58 m/s as per the given data.

Speed is the rate at which an object moves along a path in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar value.

We can use the formula for deceleration:

Deceleration = (final velocity - initial velocity) / time taken

100 km/h = 100,000 m/3600 s = 27.78 m/s

Using the formula for deceleration, we get:

30 = (0 - 27.78) / t

t = 0.926 seconds

The minimum velocity the car can slow down to during a collision with the barrels without the crash being fatal is:

Final velocity = initial velocity - deceleration x time taken

Final velocity = 27.78 - 30 x 0.926

Final velocity = -2.58 m/s

The initial momentum of the car is:

p1 = m1v1 = 1200 kg x 27.78 m/s = 33,336 kg m/s

The initial momentum of the barrels is:

p2 = m2 x 0 = 0 kg m/s

The final momentum of the combined unit is:

p3 = (m1 + m2) x V

p1 + p2 = p3

33,336 = (1200 + M) x V

0.5 x (M + 1200) x V^2 = 0.5 x 1200 x \((2.58)^2\)

(33,336 / \((1200 + M))^2\) = (1200 x \((2.58)^2\)) / (M + 1200)

Therefore, the mass of water needed in the barrels to bring the 1200 kg-car down to the required speed is:

Mass of water = M - mass of barrels

Mass of water = 1851 - 1200

Mass of water = 651 kg

Thus, this can be concluded regarding the given scenario.

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The de-Broglie wavelength of the baseball is 1.27×10⁻²⁵nm

λ=h/m

h is the Planck Constant =6.63×10⁻³⁴Js

m = mass = 148×10⁻³

=0.148kg

v= velocity =35.1m/s

λ=6.63×10⁻³⁴/0.148×35.1

λ=1.27×10⁻³⁴m

λ=1.27×10⁻²⁵nm

When learning about quantum mechanics, the de Broglie wavelength is a crucial idea. De Broglie wavelength is the wavelength that is connected to an object in relation to its momentum and mass. Typically, a particle's force and de Broglie wavelength are inversely related.

Some people believe that matter has both a wave- and a particle-like nature. De Broglie wavelength, so named after the discoverer Louis de Broglie, are the characteristics of a physical object that fluctuate in time or space while acting like waves. Matter waves are another name for it. It is strikingly reminiscent of the experimentally demonstrated dual nature of light, which exhibits both particle and wave behavior.

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Evidence from the video that best explains why Vietnam is considered president Lyndon B. Johnson's war is : "the major escalation of American troops started under Johnson".

This means that Johnson played a crucial role in deciding to send more American troops to Vietnam and increasing America's involvement in the war. Additionally, this decision led to an increase in American casualties and a lack of progress in achieving victory in Vietnam.

Therefore, Johnson's decision to escalate the war had a significant impact on the outcome of the conflict and the perception of it as his war. While the other two pieces of evidence are also relevant, they do not have the same level of significance in explaining why Vietnam is considered Johnson's war.

The fact that Johnson was "doomed" and the greatest incident in all of American history (referring to the My Lai Massacre) both reflect negative outcomes of the war and Johnson's role in it, but they do not directly tie back to Johnson's decision to escalate the war.

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When you stand in front of a mirror and reach out with your right hand to shake hands, the image will remain the same size and the hand that the image will extend is the left hand.

A plane mirror is a type of mirror that is not curved and that has a flat reflective surface.

The characteristics of a plane mirror include the following:

When you stand in front of a mirror and reach out with your right hand to shake hands, the image will remain the same size because image size of a plane mirror is the same size with the object.

Also, the hand that the image will extend is the left hand because the image is laterally inverted.

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Answer: Images formed by plane mirrors are upright and life-sized, or equal in size to the object that is being reflected, but it shows things in reverse, or as a “mirror image.”  Also, if someone was standing five feet from the mirror, it would appear that the reflection inside the mirror was also five feet away, which is impossible.  The brain is tricked into seeing the light bouncing off of the surface of the mirror as coming from a point inside, or behind the mirror.

Full Answer in Image

a.) Ans; If an object is projected upwards in a perfectly vertical direction, then it will slow down as it rises upward. The instant at which it reaches the peak of its trajectory, its velocity is 0 m/s

The magnitude of the force required to stop the weight in 0.333 seconds is 67.6 N.

The magnitude of the force required to stop the weight in 0.333 seconds is calculated by applying Newton's second law of motion as shown below;

F = ma

F = m(v/t)

F = (mv)/t

F = (5 x 4.5)/0.333

F = 67.6 N

Thus, the magnitude of the force required to stop the weight in 0.333 seconds is 67.6 N.

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The resistance in the 27-volt circuit necessary to obtain a current of 0.66 amps is roughly 40.91 ohms.

Ohm's Law, which states that voltage (V) equals the product of current (I) and resistance (R), can be used to determine the resistance necessary in a circuit to achieve a certain current. The formula is as follows:

V = I * R

Voltage (V) = 27 volts is given.

I (current) = 0.66 amps

We must locate the resistance (R). Rearranging the formula yields:

R = V / I

Substituting the following values:

R is equal to 27 volts / 0.66 amps.

Calculating:

R ≈ 40.91 ohms

As a result, the resistance in the 27-volt circuit necessary to obtain a current of 0.66 amps is roughly 40.91 ohms.

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Answer:

4 ohms

Explanation:

Current = Voltage/resistance

2 = 8/R

2R = 8

R = 4

Answer:

b

Explanation:

The maximum mass that a helicopter winch can lift is 204 kg.

In order to maximize the effectiveness and safety of winching operations, the winch is mounted on the aircraft's side facing the pilot. The winch cable is 90 meters long, and it can handle a maximum load of 600 pounds or 272 kilograms.

Winches have a 2000 N lifting capacity. The formula W = mg, which equals weight in newtons, mass in kilograms, and gravity's acceleration in meters per second squared, or 9.8 m/s2, can be used to convert it to mass.

W = mg

2000 N = m * 9.8 m/s^2

m = 2000 N / 9.8 m/s^2

m = 204 kg

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The full question is

A rescue helicopter lifts two people using a winch and a rescue ring. The mas of the two people is 120 kg. The winch is capable ofexerting a 2000-N force. What is the maximum mass it can lift?

In the beta-minus decay of tritium (³H), the total energy released is approximately 18.6 MeV (Mega-electron Volts)

In the beta-minus decay of tritium (³H), a neutron is converted into a proton, an electron (beta particle), and an electron antineutrino. The total energy released in this process can be calculated by finding the difference in the rest mass energies of the parent and daughter nuclei.

For tritium (³H) decay, the daughter nucleus is helium-3 (³He). The mass difference between these two isotopes can be used to calculate the energy released using Einstein's mass-energy equivalence formula (E=mc²).

The total energy released in the beta-minus decay of tritium (³H) is approximately 18.6 MeV (Mega-electron Volts). This energy is shared among the beta particle, electron antineutrino, and the recoiling helium-3 nucleus.

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