when 68.00 j of energy are added to a sample of gallium that is initially at 25.0 ◦c, the temperature rises to 38.0 ◦c. what is the volume of the sample?

Answers

Answer 1

The volume of the gallium sample is 2.38cm³.

How to calculate volume?

The volume of a substance can be calculated by dividing the mass of the substance by its density.

However, the mass of the gallium sample in this question needs to be calculated first using the following formula;

Q = mc∆T

Where;

Q = quantity of heat absorbed or releasedm = mass of substancec = specific heat capacity∆T = change in temperature

68 = m × 0.372 × (38 - 25)

m = 68 ÷ 4.84

m = 14.05 grams.

Density of gallium is 5.904g/cm³

volume of gallium = 14.05g ÷ 5.904g/cm³ = 2.38cm³

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Related Questions

The compound magnesium phosphate has the chemical formula Mg3(PO4)2. In this compound, phosphorous and oxygen act together as one charged particle, which is connected to magnesium, the other charged particle.

Answers

The question is incomplete, the complete question is;

The compound magnesium phosphate has the chemical formula Mg3(PO4)2. In this compound, phosphorus and oxygen act together as one charged particle, which is connected to magnesium, the other charged particle. What does the 2 mean in the formula 5Mg3(PO4)2? A. There are two elements in magnesium phosphate. B. There are two molecules of magnesium phosphate. C. There are two magnesium ions in a molecule of magnesium phosphate. D. There are two phosphate ions in a molecule of magnesium phosphate.

Answer:

There are two phosphate ions in a molecule of magnesium phosphate.

Explanation:

The compound magnesium phosphate is an ionic compound. Ionic compounds always consists of two ions, a positive ion and a negative ion.

In this case, the positive ion is Mg^2+ while the negative ion is PO4^3-.

The subscript, 2 after the formula of the phosphate ion means that there are two phosphate ions in each formula unit of magnesium phosphate.

PLEASE HELPPPP!!! I'VE BEEN STUCK ON THIS PROBLEM FOR A WHILE!!!!
A hiker walks due east for a distance of 25.5 km from her base camp. On the second day, she walks 41.0 km North Westtill she discovers the cave she wanted to see. Determine the magnitude and direction of her resultant displacement between the base camp and the cave.

Answers

Answer:

Resultant displacement is 29.2 km at north of west

Explanation:

To solve the problem, we have to use the rules of vector addition, resolving first each vector along the x- and y- direction.

Taking east as positive x direction and north as positive y- direction, we have:

- First displacement is 25.5 km east, therefore its components are

- Second displacement is 41.0 km northwest, so its components are

So, the components of the resultant displacement are

And so, the magnitude is calculated using Pythagorean's theorem:

And the direction is given by

Where the angle is measured from the west direction, since Rx is negative.

A circuit is made up of a power source, a coil of copper wire, a moving bar
magnet, and conducting wires. Which part could you remove from the circuit
and still have a working electromagnet?
O A. The power source
O B. The coil of copper wire
O C. The moving bar magnet
O D. The conducting wires

Answers

Answer:the power source

Explanation:

Answer:

A. The power source

Explanation:

Just took the quiz

what constant voltage needs to be applied to yield this rate? express your answer with the appropriate units.

Answers

The constant voltage that needs to be applied to yield this rate is approximately 0.47619 H A/s.

Determine the constant voltage?

To calculate the constant voltage required to yield a current rate of 150 A over 210 min in a magnet with an inductance of 40 H, we can use the formula V = L × di/dt.

Given:

Inductance (L) = 40 H

Change in current (di) = 150 A

Change in time (dt) = 210 min = 210 × 60 s = 12,600 s

Substituting the values into the formula:

V = 40 H × (150 A / 12,600 s)

Simplifying the expression:

V = 40 × 150 / 12,600 H A/s

V = 0.47619 H A/s

The formula V = L × di/dt represents the relationship between voltage (V), inductance (L), change in current (di), and change in time (dt). By rearranging the formula, we can solve for voltage (V).

Plugging in the given values of inductance, change in current, and change in time, we calculate the constant voltage required. In this case, the result is approximately 0.47619 H A/s.

Therefore, the required constant voltage to achieve this current rate is approximately 0.47619 H A/s.

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Complete question here:

Magnetic resonance imaging instruments use very large magnets that consist of many turns of superconducting wire. A typical such magnet has What constant voltage needs to be applied to yield this rate? an inductance of 40H. When the magnet is initially Express your answer with the appropriate units. powered up, the current through it must be increased slowly so as not to "quench" the wires out of their superconducting state. One such magnet is specified to have its current increased from 0 A to 150 A over 210 min.

How are the carbon cycle and the water cycle different?

Answers

The carbon cycle and the water cycle are different in terms of the substances they involve and the processes they encompass.

The carbon cycle involves the movement of carbon atoms between the atmosphere, living organisms, and the Earth's crust through processes such as photosynthesis, respiration, and fossil fuel combustion. On the other hand, the water cycle, also known as the hydrological cycle, involves the continuous movement of water through evaporation, condensation, precipitation, and runoff, without any change in the composition of water molecules.

While both cycles are essential for maintaining Earth's systems, they differ in terms of the substances involved and the specific processes that occur. The carbon cycle focuses on the cycling of carbon atoms, influencing global climate and long-term carbon storage, whereas the water cycle revolves around the movement of water, ensuring the availability of freshwater resources and sustaining life on the planet. Understanding these cycles helps us comprehend the interconnectedness of natural processes and their impact on the environment.

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We are studying the properties of a 10 L vessel of an ideal gas at 300 K and 10 atm of pressure inside. We can fix the volume or the pressure of the vessel as we like. if we decrease the temperature to 200 k at constant pressure, what would the new volume be?

Answers

the characteristics of the a 10 L ideal gas vessel filled with it at a pressure of 10 atm and temperature of 300 K. any desired changes in the vessel's volume or pressure. 30L of liquid will be produced at constant pressure when the temperature is 200 k.

What is pressure, and what is the formula for it?

That amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Pressure is a force-area relationship; pressure = force area. Pascal is the SI pressure measurement (pa).

How is pressure determined?

The formula for calculating pressure is P = F / A, or force for unit of the surface area. The SI unit in measuring pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa). One Newton per sq.m of force exerted perpendicularly on a surface is equal to one pascal.

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if F = -F represents Newton's third law, then "-F" represents the ________

a. opposite
b. leading

Answers

Answer:

opposite .

Explanation:

Answer: The answer is a) opposite

Explanation: I just completed the USA Test Prep and got a 100! :))

A car accelerates from rest at a stop sign at a rate of 3.0 m/s^2 to a speed of 21.0 m/s, and then immediately begins to decelerate to a stop at the next stop sign at a rate of 4.0 m/s^2. How long did it take the car to travel from the first stop sign to the second stop sign? Show your work.

Answers

Answer:

t = 12.25 s

Explanation:

First we calculate the time taken by the car during accelerating motion, we use 1st equation of motion:

Vf = Vi + at₁

where,

Vf = Final Velocity = 21 m/s

Vi = Initial Velocity = 0 m/s

a = acceleration = 3 m/s²

t₁ = time taken during acceleration = ?

Therefore,

21 m/s = 0 m/s + (3 m/s²)t₁

t₁ = (21 m/s)/(3 m/s²)

t₁ = 7 s

Now, we use the same equation to find out the time taken during deceleration motion, with following data:

Vf = Final Velocity = 0 m/s

Vi = Initial Velocity = 21 m/s

a = deceleration = -4 m/s²

t₂ = time taken during deceleration = ?

Therefore,

0 m/s = 21 m/s + (-4 m/s²)t₂

t₂ = (-21 m/s)/(-4 m/s²)

t₂ = 5.25 s

Therefore, the total time taken by the car to travel from first stop sign to second stop sign is:

t = t₁ + t₂

t = 7 s + 5.25 s

t = 12.25 s

Answer:

12.25s

Explanation:

The group decides to use only symmetric encryption by using a KDC (Key Distribution Center). What is the advantage(s) of using a KDC (Key Distribution Center) rather than having every two entity in the system sharing a secret key?

Answers

When a group decides to use only symmetric encryption by using a KDC (Key Distribution Center), there are certain advantages that come with it. Rather than having every two entity in the system sharing a secret key, the group uses a KDC.

A Key Distribution Center (KDC) is a component of certain computer operating systems that is responsible for managing access control between users and network resources.

The following are the advantages of using a KDC:Key distribution is easier and more efficient: KDC distributes a single symmetric key that can be used by all users in the network to securely encrypt and decrypt messages between them. As a result, KDCs are much more efficient than two entities sharing a secret key. This helps in preventing unauthorized access from any malicious attacker.

For example, if two entities share a secret key and one of them gets compromised by an attacker, then the attacker can easily gain access to all the messages being sent between the two entities. However, if a KDC is used, then the attacker will not be able to gain access to all the messages because the KDC is not a part of the communication channel and the encryption key is only distributed to the entities that require it.

Easier key management: In a large network, it can be very difficult to manage secret keys between two entities, particularly when there are a large number of entities. However, when using a KDC, key management is a lot easier because all the keys are stored and managed centrally.

Therefore, there is less risk of key loss, damage, or duplication. In conclusion, using a KDC for symmetric encryption has significant advantages over two entities sharing a secret key because it provides more secure, efficient, and easier key management.

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2. When the mass on the block is was doubled, what happens to the angle of repose?
Were your results as expected. Explain.
3. Why was it necessary to tap the block to get it started in section 11 of the lab?
4. Why can anti-lock brakes stop a car in a shorter distance than regular brakes?
5. Which method do you think would yield the more accurate value for the coefficient of kinetic friction and why? 

Answers

2). A greater force will be required to overcome the force of friction and cause the block to start sliding. 3). coefficient of kinetic friction. 4). This allows the car to stop at a shorter distance. 5).  we can reduce the impact of any random errors and get a more accurate value.

2. When the mass on the block is doubled, the angle of repose will increase. This is because the weight of the block will increase and the force of gravity acting on it will also increase. Therefore, a greater force will be required to overcome the force of friction and cause the block to start sliding.
3. It was necessary to tap the block to get it started in section 11 of the lab because the static friction between the block and the surface is greater than the kinetic friction. Tapping the block helps to overcome the static friction and get the block moving, allowing us to measure the coefficient of kinetic friction.
4. Anti-lock brakes can stop a car at a shorter distance than regular brakes because they prevent the wheels from locking up and skidding. When the wheels lock up, the car loses traction and the driver loses control. Anti-lock brakes prevent this by rapidly applying and releasing the brakes, allowing the wheels to continue turning and maintaining traction. This allows the car to stop at a shorter distance.
5. The method that involves taking multiple measurements and calculating an average value would yield a more accurate value for the coefficient of kinetic friction. This is because friction is a complex force that can vary depending on many factors, such as surface roughness, temperature, and pressure. By taking multiple measurements and calculating an average, we can reduce the impact of any random errors and get a more accurate value.

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Point A
Support
3.0m
2.5m
Figure 5
Weight of girl = 600 N
Weight of diving board = 800 N
Water

The support post pushes up on the diving board with a force of 3040 N. The force provides the anti-clockwise moment which keeps the board in equilibrium.
Calculate the distance that the support must be from point A.

Point ASupport3.0m2.5mFigure 5Weight of girl = 600 NWeight of diving board = 800 NWaterThe support post

Answers

The distance that the support must be from point A . 1.2010 3 N.

What is  the distance that the support must be from point A?

At x = 0, where the x axis is parallel to the diving board, we assume the force acting on the left pedestal to be F1. We define the right pedestal's force as F2 and its location as x=d. W is the diver's weight, which is found at x=L. Setting the total of forces (with upward positive) and the sum of torques (around x2) to zero yields the following two equations:

F 1 +F 2 −W=0

F 1 d+W(L−d)=0

(a) The result of the second equation is F 1 = d L d W = (2.5m 3.0m)

(600N) = 800N, which should be rounded to F 1 = 1.210 3 N. Consequently, F 1 = 1.2010 3 N

(b) F 1 is negative, suggesting a downward force.

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1. Which wave phenomenon is illustrated by this image?
O A. Refraction
O B. Diffraction
O C. Diffusion
O D. Interference

1. Which wave phenomenon is illustrated by this image?O A. RefractionO B. DiffractionO C. DiffusionO

Answers

Answer:

Explanation: O B. Diffraction

b.) diffraction
hope i’m right

A 3. 5 kg bowling ball is rolling in a straight line. If its momentum is 14 kg * m/s , how fast is the bowling ball traveling?.

Answers

Answer:

4 m/s

Explanation:

momentum = m v

    14           = 3.5  * v

v = 14/3.5 = 4 m/s

Provide three reasons for a leftward shift of the LM curve. Provide two reasons for a steep IS curve.

Answers

a. The shift of the LM curve to the left occurs due to a decrease in the money supply or an increase in the demand for money.

b. Two reasons for a steep IS curve are High Investment Demand and Inflexibility in Investment.

The LM curve shows the various combinations of interest rates and income that bring about the equality of the supply and demand for money.

Below are three reasons for the leftward shift of the LM curve:

1. Decrease in Money Supply: The leftward shift of the LM curve can occur if the money supply decreases. This causes the interest rates to rise because the demand for money is greater than the supply.

2. Increase in Money Demand: An increase in the demand for money can lead to a leftward shift of the LM curve. This happens when people want to hold more money than is available in the economy, and the interest rate rises as a result.

3. Increase in Prices: An increase in prices causes a leftward shift of the LM curve. This is because, at higher prices, people need more money to conduct their transactions, and an increase in the money supply is required to keep the interest rate constant.

Now, moving on to the steep IS curve:

1. High Investment Demand: A steep IS curve may occur if there is high investment demand. This happens when businesses are optimistic about the future and invest more, causing the demand for credit to increase and the interest rates to rise.

2. Inflexibility in Investment: A steep IS curve can also be caused by inflexibility in investment. This occurs when businesses are unwilling to change their level of investment due to economic conditions, and any changes in the interest rates have a significant effect on investment and output levels.

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Why is it difficult to charge a metallic rod with the method of friction?

pls answer quick
I got exam tomorrow

Answers

Insulators can be easily charged by friction as the extra electrons gained CANNOT easily escape. Conductors: materials that allow electrons to flow through them easily. Conductors CANNOT be easily charged by friction as the extra electrons gained can easily escape. When negatively charged rod is put near a metal can

How long will it take a projectile to hit the ground from a 400 m tall cliff when launched at 30 m/s horizontally?
19.55 sec
13.33 sec
9.03 sec
4.54 sec
Fast reply if possible

Answers

about 88 seconds for the cannonball to reach its maximum height (ignoring air resistance).

Explanation:

what object is of a similar size to gamma rays?

Answers

Answer:

Atomic nuclei

Explanation:

Gamma rays have a wavelength that ranges from 10 picometers to 100 femtometers, which makes them incredibly small. To put this into perspective, a picometer is one-trillionth of a meter, and a femtometer is one-quadrillionth of a meter. Objects of a similar size to gamma rays include atomic nuclei, which are typically on the order of femtometers in diameter.

True or false. Objects tend to stay moving because of a force called inertia

Answers

Answer:

true

Explanation:

The correct answer would be true: Inertia causes a moving object to stay in motion

A skateboarder on a ramp is accelerated by a nonzero net force. For each of the following statements, state whether it is always true, never true, or sometimes true.Part A
The skateboarder is moving in the direction of the net force.
The skateboarder is moving in the direction of the net force.
Always true
Sometimes true
Never truePart BThe acceleration of the skateboarder is at right angles to the net force.
The acceleration of the skateboarder is at right angles to the net force.
Always true
Sometimes true
Never truePart C
The acceleration of the skateboarder is in the same direction as the net force.
The acceleration of the skateboarder is in the same direction as the net force.
Always true
Sometimes true
Never truePart D
The skateboarder is instantaneously at rest.
The skateboarder is instantaneously at rest.
Always true
Sometimes true
Never true

Answers

Part A is always accurate. Part B is never correct. Part C is always accurate. Part D is never correct.

What is force?

Force is a physical quantity that represents an influence on an object to produce a change in its motion. It is a vector quantity, meaning that it has both magnitude and direction. In physics, force is defined as the rate of change of momentum of an object, where momentum is the product of an object's mass and velocity. There are many different types of forces that can act on an object, including gravitational forces, electromagnetic forces, and frictional forces. Forces can cause an object to speed up, slow down, change direction, or remain at rest. The total effect of all the forces acting on an object is described by Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration (F = ma).

Here,

Part A: Always true

According to Newton's second law of motion (F = ma), the net force acting on an object is equal to its mass times its acceleration. If the net force is nonzero, the acceleration will also be nonzero, and the object will move in the direction of the net force.

Part B: Never true

According to the third law of motion, for every action, there is an equal and opposite reaction. This means that if a net force is acting on an object, it will cause an acceleration in the direction of the net force. The acceleration cannot be at right angles to the net force.

Part C: Always true

Since the net force acting on an object is equal to its mass times its acceleration (F = ma), if the net force is nonzero, the acceleration will also be nonzero, and it will be in the same direction as the net force.

Part D: Never true

If the net force acting on an object is nonzero, it will cause an acceleration in the direction of the net force. The object will not be instantaneously at rest. It may slow down or come to a stop eventually, but it will not be at rest while the net force is acting on it.

Part A is always true. Part B is never true. Part C is always true. Part D is never true.

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What is TRUE about clinical psychology?
Pls help I’m timed !

 What is TRUE about clinical psychology? Pls help Im timed !

Answers

Answer:

the answer is C I do believe

What happens to the number of daylight hours as Earth moves in its orbit from winter to spring?

Answers

Answer:

The earth is exposed much more during the summer the hours of daylight is increased slightly

Explanation:

The power; P , dissipated when a 5-volt battery is put across a resistance of R ohms is given by 25 P = R What is the rate of change of power with respect to resistance? rate of change Vlohm?

Answers

The rate of change of power with respect to resistance is -25/\(R^2\) watts per ohm (W/Ω).



The power P dissipated by a 5-volt battery across a resistance of R ohms is given by the formula P = (25/R). To find the rate of change of power with respect to resistance, we need to differentiate the power equation with respect to R. Using the power rule for differentiation, we have:

dP/dR = -(25/\(R^2\))

The negative sign indicates that as the resistance increases, the power dissipation decreases, which is consistent with Ohm's law. Therefore, the rate of change of power with respect to resistance is -25/\(R^2\) watts per ohm (W/Ω). This means that for every unit increase in resistance, the power dissipation will change at a rate inversely proportional to the square of the resistance.

This relationship demonstrates the diminishing power dissipation as the resistance increases, highlighting the importance of considering resistance in electronic circuits and systems.

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Do you remove the positive or negative first on a car battery?

Answers

Answer:

negative at first.

Explanation:

It's important to disconnect the negative side at first, otherwise you can cause an electrical short if positive is removed first.

Sue and Jenny kick a soccer ball at exactly
the same time. Sue’s foot exerts a force of
52.7 N to the north. Jenny’s foot exerts a
force of 91 N to the east.
a) What is the magnitude of the resultant
force on the ball?
Answer in units of N. b) What is the direction of the resultant force
(measured from East)?
Answer in units of ◦
.

Answers

a)

Answer:

Using Pythagorean Theorem.

\(F_{R} = \sqrt{Fn^{2} + Fe^{2} } \\\\ F_{R} = \sqrt{52.7^{2} + 91^{2} }\\\\ F_{R} = 105.16N\)

b)

Answer:

\(tan^{-1} \frac{opp}{adj} \\ \\ tan^{-1} \frac{52.7}{91} \\ \\ = 30.08^{o}\)

The resultant force of the two forces which are acting perpendicular to each other is 105.15 N and the direction is 59.91 ° from east.

What is force?

Force is an external agent acting on a body to change it from the state of motion or rest. If two forces acting on a body and both are applied in the same direction, the resultant force will be the sum of two forces in magnitude.

If the two forces are in opposite directions, then the resultant force will be the substracted value of their magnitude. If one force is to the north and other is to the east, then they are perpendicular to each other.

Hence, to find the resultant force we can use the Pythagoras theorem for right angled triangle. The hypotenuse will be the resultant force.

Resultant force = √ (52.7² + 91² )

                          = 105. 15 N.

The direction of the force = Tan ⁻¹ (91 / 52.7 )

                                           = 59.91 ° from east to north.

Hence, the resultant force is 105.15 N with a direction of 59.91 ° from east.

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What is the separation between the objective lens and the specimen when it is in focus?

Answers

The separation between the objective lens and the specimen when it is in focus is called depth of focus.

The depth of focus, or DOF, is the image-space counterpart of DOF and refers to how, as the sensor is moved, but the object stays in place, the quality of focus changes on the sensor side of the lens. The amount of tip and tilt that can be tolerated between the sensor plane and the lens picture plane is determined by the depth of focus. Tilt has a greater effect on attaining the best focus across the sensor as focus drops because the depth of focus also decreases as focus decreases. Without intentional alignment, there will always be some variance in the orthogonality between the utilized sensor and lens; it illustrates how this problem manifests itself. Problems with depth of focus alone are typically thought to be rare.

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a system absorbs 35J of heat and in the process it does 11J of work if the initial internal energy is 205J a,what is the final internal energy b,the system follows a different thermodynamic path to the same final state and does 15J of work, what is the heat transferred ?​

Answers

Answer:

\(a)uf = 205 + 35 - 11 \\ = 240 - 11 \\ = 229j \\ b)q(heat \: transferd) = 229 - 205 - 11 \\ = 24 - 11 \\ = 13j \\ thank \: you\)

The heat transferred is

a) u f = 205+35-11

      =240-11

      = 229 j

b) q (heat transferred ) = 223-205-11

   = 24-11

   = 13 j

What is the difference between course and process in thermodynamics?

While a thermodynamic gadget passes thru an exchange in the state, a succession of states exceeded could be termed as a course of the device or direction of an alternate country. If the route of change of kingdom is completely distinctive, route of alternate of the nation may be termed as thermodynamic manner.

The technique is described via a direction, which is the non-stop collection of consecutive states via which the machine passes, consisting of the initial nation, the intermediate states, and the very last state. The process has a course along the course.

An asset whose price would not depend upon the course taken to attain that unique price is thought to as kingdom capabilities or point features. In contrast, those capabilities which do depend upon the direction from points are referred to as course features.

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which of the following equals the change in velocity divided by the time?
A. acceleration
B. Speed
C. momentum
D.displacement​

Answers

Answer:

Acceleration.

Explanation:

Hope this helped!

Which is a valid ionic compound?

sodide chlorine
sodium chlorine
sodium chloride
sodide chloride

Answers

Answer:

sodium chloride

Explanation:

Sodium chloride is an ionic compound. The ions of the sodium chloride compound is sodium ion and chloride ion.  The sodium ion is cation while the chloride ion is an anion. Sodium chloride is a very stable compound because of the mutual attraction of oppositely charged ions.

17) Which wave carries the most energy?

17) Which wave carries the most energy?

Answers

Answer:

C.

Explanation:

the waves that have the shortest wavelength are gamma rays, and thus they are the most energetic because they must also have the highest frequency.

the temperature of a 2.0 kg block increases by 5 degrees celsius when 2000j of thermal energy are added to the block. what is the specific heat of the block?

Answers

Specific heat is quantity of heat required to increase the temperature of a substance by one degree celsius.

The formula to calculate heat energy is

Q=mc∆T

How to calculate specific heat capacity using heat energy formula?

We know, Q=mc∆T

Where Q = heat energy

m = mass

c= specific heat capacity

∆T= change in temperature

Thus,

According to above formula

c= Q/m∆T

Here m= 2 kg

∆T= 5 degrees

Q= 2000 joules

c= 2000/2×5

c= 200

Thus, the specific heat capacity of the block is 200.

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jonny, zakarius, fernando, and lee each think that dr. awesome may be a slightly better teacher than dr. average. after discussing why each of them believes this to be so, they all conclude that dr. awesome is a much better teacher than dr. average. this episode provides an example of group of answer choices social facilitation. groupthink. group polarization. deindividuation. flag question: question 55 In a typical electron microscope, the momentum of each electron is about 1.3 x 10 kg-m/s. What is the de Broglie wavelength of the electrons?m mike and laura had the same amount of money. after ike gave laura $6, mike only had 1/3 as much money as laura. how much money did each person have before the exchange? Use the menu provided to answer the following question. If a student purchased 1 can of juice, 2 slices of pizza, 1 bag of peanuts, and two chocolate bars using a $20.00 bill, what was her change? How many grams are in 10.1 L of Sr(OH)z? Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph. Can we say that this cheetahs average rate was 55 mph? The average rate for the trip is equal to the total distance traveled divided by the total time traveled. The following equations represent the distance traveled on each leg of the trip. First leg of trip: d=r_1 t_1 Second leg of trip: d=r_2 t_2 Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A. Which of the following currently makes up the largest share of bank assets?a.Loans and leasesb.Fed funds sold and reverse reposc.Cashd. Trading assets What is the relationship between the origins of agriculture and the changes that occur in human social organization as a result of sedentism? Where does agriculture (defined as the domestication of both plants and animals through selective breeding) develop independently throughout the world following the end of the Pleistocene? Name at least one major hypothesis discussed in your text or in class and describe how each may have impacted early human agricultural societies. Which number line shows the solutions to x + 6 < 13? how many different license plates could there be in south carolina? (note: suppose it is constituted with 3 upper-case letters followed by 3 digits or 3 digits followed by 3 letters) what qualities of microorganisms make them difficult to study Your client is 40 years old. She wants to begin saving for retirement, with the first payment to come, one year from now. She can save $5,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 9% in the future. If she follows your advice, how much money will she have at 65? How much will she have at 70? She expects to live for 20 years, if she retires at 65, and for 15 years, if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year, after retirement, at each retirement age? Davis digs a hole at a rate of 34 feet every 10 minutes. After digging for 40 minutes, Davis places a bush in the hole that fills exactly 78 feet of the hole.Relative to ground level, what is the elevation of the hole after placing the bush in the hole?Enter your answer as a simplified mixed number in the box. How do you find f(2) and f(0) given the expressions on the graph Can someone pls help me we are doing "Comparing Unit Rates" John Q. Adams gave a speech on July 4, 1821 about U.S. accomplishments.What did John Q. Adams believe had been accomplished?the ability for every person to voterule by consent of the governedabolition of enslavementthe right of life, liberty, and the pursuit of happiness for every American A recipe for brownies calls for 3/8 cup of sugar and the recipe makes 12 brownies what fraction of a cup is in each brownie? were would y=x+2 and y=2x+5 intercept on a graph? An organism has two different possible traits, A and B. A graph of the population is shown right. Which of the following statements is true about Trait B? Check all that apply.It decreased in frequency over time.It became extinct.It is carried on a recessive allele. For the beam and loading shown, identify the maximum absolute values of the shear and bending moment. For the beam and loading shown, identify the maximum absolute values of the shear and bending moment.