A 0.050 kg metal bolt is heated to an unknown initial temperature. It is then dropped into calorimeter containing 0.15 kg of water with an initial temperature of 21.0°C. The bolt and the water then reach a final temperature of 25.0°C. If the metal has a specific heat capacity of 899 J/kg•°C, find the initial temperature of the metal.

Answers

Answer 1

The initial temperature of the metal bolt is 80.8 °C

We'll begin by calculating the heat absorbed by the water.

Mass of water (M) = 0.15 Kg Initial temperature (T₁) = 21 °CFinal temperature (T₂) = 25 °CChange in temperature (ΔT)  = T₂ – T₁ = 25 – 21 = 4 °CSpecific heat capacity of water (C) = 4184 J/KgºCHeat absorbed (Q) =?

Q = MCΔT

Q = 0.15 × 4184 × 4

Q = 2510.4 J

Finally, we shall determine the initial temperature of the metal bolt.

Heat absorbed by water = 2510.4 JHeat released by metal (Q) = –2510.4 JMass of metal (M) = 0.050 Kg Final temperature (T₂) = 25 °CSpecific heat capacity of metal (C) = 899 J/Kg°CInitial temperature (T₁) =?

Q = MC(T₂ – T₁)

–2510.4 = 0.050 × 899 (25 – T₁)

–2510.4 = 44.95 (25 – T₁)

Clear bracket

–2510.4 = 1123.75 – 44.95T₁

Collect like terms

–2510.4 – 1123.75 = –44.95T₁

–3634.15 = –44.95T₁

Divide both side by –44.95

T₁ = –3634.15 / –44.95

T₁ = 80.8 °C

Thus, the initial temperature of the metal is 80.8 °C.

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Related Questions

A block slides on a rough 45 degree incline. The coefficient of friction is µk what is the ratio of acceleration when the block accelerates down the incline to the acceleration when the block is projected up the incline​

Answers

it is the same, force diagram is the same, acceleration depends on forces. the only thing different is the initial velocity.

Answer:

[tex]\frac{a_{d}}{a_{i}} = \frac{(1 -mu)}{mu}[/tex]

= (1 - μ)/μ

Explanation:

Always draw a diagram!

Up the incline:

[tex]Fr_{max}[/tex] = maximum friction

[tex]Fr_{max}[/tex] = μk

k = R = mg.cos(45) = mg.sin(45)

Resolution of forces parallel to the slope:

F (Fp in the diagram) = force of propulsion

g = gravity

[tex]F - Fr_{max} = ma_{i}[/tex]

[tex]F -[/tex] μ.mg.cos(45) [tex]= ma_{i}[/tex]

Down the decline:

Resolution of forces:

[tex]mg.sin(45) - Fr_{max} = ma_{d}[/tex]

[tex]mg.sin(45) -[/tex] μ.mg.cos(45) [tex]= ma_{d}[/tex]

Then, find the ratio:

[tex]\frac{ma_{d}}{ma_{i}} = \frac{mg.sin(45) - mu.mg.cos(45)}{-F + mu.mg.cos(45)} \\\\ \frac{a_{d}}{a_{i}} = \frac{k - k.mu}{-F + k.mu} \\\\ = \frac{k(1 -mu)}{-F + k.mu}[/tex]

Potentially, there is no need to consider F in this situation, in which case:

[tex]\frac{a_{d}}{a_{i}} = \frac{k(1 -mu)}{k.mu} \\\\ = \frac{(1 -mu)}{mu}[/tex]

= (1 - μ)/μ

Pleas help with question 25

Answers

Answer:

the answer is a....,.......

Hydrochloric acid and sodium hydroxide react to produce water and sodium chloride in endothermic reaction. Which statement must be true of the reaction?

A. more bond energy is absorbed on the reactants side than is released on the products side.

B. The energy of each bond in water and sodium chloride is greater than the energy of each bond in hydrochloric acid and sodium hydroxide

C. The bond energy used to break the bonds in hydrochloric acid in the sodium hydroxide is less than the energy released to from the bonds in water and sodium chloride.

D. The total energy of wster and sodium chloride is greater than the total bond energy of hydrochloric acid and sodium hydroxide. ​

Answers

In the endothermic reaction, the total energy of water and sodium chloride is greater than the total bond energy of hydrochloric acid and sodium hydroxide.

Endothermic reactions are reactions in which heat energy is absorbed during the reaction. The formation of products by the reactants requires addition of heat because the energy required to form the bond in the products is greater than the energy released when reactant bond are broken.

Thus, in an endothermic reaction, the total bond energy of the products are greater than the bond energy of the reactants.

The properties of endothermic reactions include:

Heat is absorbed by the system from the surroundings The entropy of the surrounding decreases (ΔS <0) Enthalpy change (ΔH) is positive

Examples of endothermic reactions include;

Cooking of foodDissolution of ammonium chloride in water

The reaction between acids and bases to form salt and water known as neutralization reactions are usually exothermic in nature.

However, if a given reaction between hydrochloric acid and sodium hydroxide to produce water and sodium chloride is endothermic as in the question, the total energy of water and sodium chloride is greater than the total bond energy of hydrochloric acid and sodium hydroxide. ​

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Answer: C.) The total bond energy of water and sodium chloride is greater than the total bond energy of hydrochloric acid and sodium hydroxide.

Hope this helps :)

Which one is it??? The question and the choice are in the photo.

Answers

The answer is:

That they are switched on

What are the advantages of vacuum diode ?​

Answers

Answer:

An electron tube from which all air has been removed. The vacuum ensures transparency inside the tube for electric fields and moving electrons. Most electron tubes are vacuum tubes; cathode-ray tubes, which include television picture tubes and other video display tubes, are the most widely used vacuum tubes

Explanation:

hope it help

Which combination of three concurrent forces acting on a body could not produce equilibrium?
1
1 N, 3N, EN
2
2 N, 2N, 2N
.
3.
3 N, 4N, EN
4.
4N, 4N, 5N

Answers

All the three concurrent forces acting on a body will not produce equilibrium.

The given parameters:

1. 1 N, 3 N and 5 N

2. 2N, 2N and 2 N

3. 3N, 4N and 5 N

4. 4N, 4N and 5 N

Concurrent forces lie on the same plane and their line of action pass through a common point.

A body under concurrent forces is in equilibrium if the resultant of the forces on the body is zero.

[tex]\Sigma F = 0\\\\F_1 + F_2 + F_3 = 0\\\\F_1 + F_ 2 = - F_3[/tex]

where;

[tex]F_3[/tex] is the equilibrant force

First set of concurrent forces;

[tex]1 \ N \ + \ 3\ N = 4 \ N\\\\F_ 3 = 5 \ N\\\\5 \ N > 4 \ N[/tex]

Second set of concurrent forces;

[tex]2 \ N \ + \ 2 \ N = 4 \ N\\\\F_ 3 = 2 \ N\\\\4 \ N > 2 \ N[/tex]

Third set of concurrent forces;

[tex]3 \ N \ + \ 4 \ N = 7 \ N\\\\F_ 3 = 5 \ N\\\\7 \ N > 5 \ N[/tex]

Fourth set of concurrent forces;

[tex]4 \ N \ + \ 4 \ N = 8 \ N\\\\F_ 3 = 5 \ N\\\\8 \ N > 5 \ N[/tex]

Thus, we can conclude that all the three concurrent forces acting on a body will not produce equilibrium.

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1. An electrically charged atom ___________

Answers

Answer:

Is called an Ion

Explanation:

Answer:

An electrically charged atom is called an ion

Would it be possible to predict the speeds that a coaster will reach before it’s ever placed on the track?

Answers

Yes, it's possible to predict the speeds that a coaster will reach before it’s

ever placed on the track.

This is usually calculated with the potential energy which is

Potential energy = m g h

where m is mass, g is acceleration due to gravity and h is height.

The given formula above is used in predicting the speeds that a coaster will

reach before it’s ever placed on the track.

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The degree of coldness or hotness is different for different objects. Explain with an example

Answers

Answer:

Explanation:

The degree of hotness and coldness of air is known as temperature and is measured with a thermometer in degrees-Fahrenheit or degrees-Celsius. Mercury is the only one in the liquid state at room temperature. It is used in thermometers because it has a high coefficient of expansion. The flow of heat will be always from higher to lower temperature.

PLS MARK ME WITH BRAINLEST

E
D
С
B
A
Column
Column
1.
Electron Cloud
B
2
Nucleus
b. A
3.
Electron
CD
4.
Neutron
d.
5.
Proton
ec

Answers

Answer:

1. D electron cloud

2. A nucleus

3. E electron

4. B neutron

5. C proton

Explanation:

electrons are located outside the nucleus. The nucleus holds the protons and neutrons. Protons have a positive symbol (+). electron cloud holds the electrons.

Explanation:

Electron cloud : D

Nucleus : A

Electron : E

Neutron : B

Proton : C

hope this helps you.

At liftoff, the space shuttle Discovery has a constant acceleration of 16.4 ft/s/s with an initial velocity of 1,341 ft/s due to the rotation of the Earth. How long does it take to travel 100,000 ft?

Answers

From orbital speed formula which is the ratio of the circumference of the earth and the period of time, it will take 6097.6 seconds to travel 100,000 ft

Given that the space shuttle Discovery has a constant acceleration of 16.4 ft/s with an initial velocity of 1,341 ft/s due to the rotation of the Earth.

The period of time T it will require to travel round the a distance 100,000 ft can be calculated by using the formula below.

V = 2πr / T

Where 2πr = 100,000 ft

V = 16.4 ft/s

Substitute both in the formula above.

16.4 = 100000 / T

T = 100000 / 16.4

T = 6097.6 seconds

Therefore, it will take 6097.6 seconds to travel 100,000 ft

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Velocity v (m/s)
11/A stone is dropped from the top of a 45 m high building, How
fast will it be moving when it reaches the ground? And what
lits velocity be?

Answers

Explanation:

given solution

h=45m v^2=u^2+2gh

g=10m/s^2 v^2=0^2+2×10m/s^2×45m

vi=0 v^2=900m^2/s^2

v=30

What are the symmetry operations of molecule AB4, where the molecule b lies at the center of the square and A lies at the center of the square and is not coplaner with B atoms. How to find the multiplication table

Answers

The symmetry operations of molecule AB₄ is tetrahedral  and they are :

E : Identity4C₃ : axis of rotation 3C₂ : axis of rotation3S₄ : Rotation-reflection axis 6бd  

To find the multiplication table we have to apply the multiplication table for Td symmetry ( attached below )

Given that molecule B lies at the corners of the square and molecule A lie at the center and is not coplanar with molecule B the symmetry operations of the molecules AB₄ will belong to a tetrahedral symmetry group which contains :

E : Identity4C₃ : axis of rotation 3C₂ : axis of rotation3S₄ : Rotation-reflection axis 6бd

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Ram jumps onto a cement floor from a height of 1m and comes to rest in 0.1sec.
Then he jumps onto a sand floor from a height of 9m and comes to rest in 1sec.
Find the ratio of forces of cement floor and sand floor.​

Answers

Answer:

3/10 F.

Explanation:

Height ( h ) = 1m

Time taken ( t ) = 0.1 second

Height² ( h² ) = 9m

Time taken² ( t² ) = 1 second

Solution,

F = ma

= m ( v - u ) / t

= m √2gh / t

now,

F/F² = √h/h² × t/t²

F¹ = 3/10 F.

answer !!

How large is the acceleration of a 25 kg mass with a net force of 75 N applied horizontally to it?

Answers

Answer:

Explanation:

F = ma

a = F/m

a = 75/25

a = 3 m/s²

5. Layer of Earth consisting of crust & upper layer of mantle ________

Answers

Answer:

lithosphere

Explanation:

hope this helps you!!

20 PTS!

If an object is moving at a constant velocity, which must be true?

Its acceleration is zero.

Its acceleration in decreasing.

Its acceleration is increasing,

Its acceleration is a non-zero constant.​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ A

[tex] \textsf{its \: acceleration \: is \: zero}[/tex]

If an object moves at a constant velocity, then the change in velocity over the time is 0, Acceleration is defined as rate of change in velocity but since there is no change in velocity, the value of Acceleration is equal to Zero.

A block of wood
wood, with mass 1.34 kg rests stationary
on horizontal ground.
The coefficient of Kinetic
friction between the block and the ground is 0.966.
A bullet, with mass 0.250kg, moving horizontally
hits and sticks into the block of wood. We find
that the speed of the block of wood, with the
ballet embedded in it, just after collision is 11.9 m/s.
A) calculate the speed of the bullet before hitting the block of wood.
it, just after the collision
is 11-9mis.
as calculate the speed of the bullet before
s
hitting the block of wood.

Answers

Answer:

Explanation:

conservation of momentum

m(u) + M(0) = (m + M)v

u = (m + M)v/m

u = (0.250 + 1.35)(11.9) / 0.250

u = 76.16

u = 76.2 m/s

That's a fairly massive, and slow, bullet.

A 30.0 kg child, initially at rest, slides down a 2.0 m tall slide. The child reaches the bottom of the slide with a speed of 6 m/s. There is friction between the child and the slide. Write a Law of Conservation of Energy equation to represent the transfer of energy from the top of the slide to the bottom. a. b. Use the equation from part (b) to calculate the energy dissipated by friction between the slide and the child? (g = 9.81 m/s) = 13​

Answers

Answer:

Explanation:

Total energy is constant

E = mgh + ½mv² + Fd

At the top of the slide, all energy is potential

E = mgh + 0 + 0

At the bottom of the slide, all potential energy has converted to kinetic and work of friction.

mgh = ½mv² + W

W = mgh - ½mv²

W = 30.0[(9.81)(2.0) - ½6²]

W = 48.6 J

I need help with this answer I believe it's a democracy​

Answers

Answer:

a. democracy

Explanation:

beacouse the government control of their members

Avery is experimenting with a simple circuit. She measures the current in the circuit three different times with a different battery each time. First, she uses a 1.5-volt battery. Next, she uses a 3-volt battery. Last, she uses a 9-volt battery. The resistance stays the same during each test. How did the current change for each test? Explain.

Answers

Answer: the current increases with each 3 volt and 9 volt. The relationship between resistance and current in a circuit is that the greater the resistance the less the current and the greater the current the less the resistance is. yayayay I could answer this I big brain :)

If you have a final velocity of 50 m/s and travelled for 120 seconds. What

is your acceleration?

Answers

Answer:

a=v-u/t

Explanation:

use this formula and initial velocity is 0

Answer:

Acceleration (a) is 0.416666667 m/ s^2

Explanation:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation

a = Δv/Δt.

The potential difference between the (high-voltage) inner shell of a Van de Graaff accelerator and a point where the charge is injected into the moving belt is 3.4 MV. What is the minimum power required to pull the belt when the belt transfers the charge to the case at 2.8 mC/s?

Answers

Explanation:

this is the answer to the questions

How is Compression Force Measured?

don't just copy theanswer please​

Answers

Compression force can be measured with a force gage or load cell. 

How many joules of energy does a 100-watt light bulb use per hour? How fast would a 70-kg person have to run to have that amount of kinetic energy?

Answers

Answer:

*1) 100 Joule energy

*2) 101.2 m/s

Explanation:

*1) 1J = 1w

100J = 100w

*2) A 70-kg person will have to run at a speed of 101.2 m/s to have that amount of kinetic energy.

Giving all of my points! (please help with a few questions if you can)

Physical Science A Semester Exam Hydrogen is in Group 1 of the periodic table. Which kind of bond would form between two hydrogens?

O A covalent bond would form because the electron would be shared so both hydrogens have a full, stable shell.

O An ionic bond would form because both atoms are nonmetals.

O An ionic bond would form because one hydrogen would transfer its valence electron to the other hydrogen to make a full

O A metallic bond would form because both atoms are metals.​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ A

A covalent bond would form because the electron would be shared so both hydrogens have a full, stable shell.

A covalent bond would form between two hydrogens because the electron would be shared so both hydrogens have a full, stable shell.

What is covalent bond?

Equal shares of electrons from the two involved atoms result in the formation of a covalent bond. This sort of bonding's electron pair is known as the shared pair or bonding pair. Molecular bonds are another name for covalent bonds. The atoms will reach stability in their outer shell, analogous to the atoms of noble gases, thanks to the sharing of bonding pairs.

The simplest material with a covalent bond is the hydrogen molecule. Two hydrogen atoms, each with one electron in a 1s orbital, combine to produce it. The two electrons in the covalent bond are shared by both hydrogen atoms, and each one takes on an electron configuration like that of helium.

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Which of the following statements is NOT true of a hypoosmotic solution?
A. It is also known as a hypotonic solution.
B. There are more dissolved solids within the cell than outside the
cell.
C. It may cause water to move into the cell, which will cause it to
swell.
D. It may cause the cell to shrink or crenate.

Answers

There are more dissolved solids within the cell than outside thecell.

Answer:

Good luck on the test, you donuts.

Explanation:

a
A soccer player kicks a ball horizontally and it travels 150 m. The ball was kicked off of a cliff that was 75 m
high. What speed was the ball kicked at?

Answers

The ball was kicked with a speed of 38.4 m/s.

Using s = ut + 1/2gt², we find the time it takes the ball to reach the ground. Where

s = height of cliff = 75 mu = initial vertical velocity of ball = 0 m/s(since it is kicked horizontally)g = acceleration due to gravity = 9.8 m/s²t = time taken for ball to reach the ground.

Substituting the values of the variables into the equation, we have

s = ut + 1/2gt²

75 m = (0 m/s)t + 1/2 × 9.8 m/s² × t²

75 m = 0 m + (4.9 m/s²) t²

75 m = (4.9 m/s²)t²

Dividing both sides by 4.9, we have

t² = 75 m/4.9 m/s²

t² = 15.306 s²

Taking square-root of both sides, we have

t = √15.306 s²

t = 3.91 s

The horizontal distance covered by the ball d = vt where

v = horizontal speed of ball and, t = time taken for the ball to reach the ground.

Since we require v, we make it subject of the formula.

So, v = d/t

Given that d = 150 m and t = 3.91 s, substituting these into v, we have

v = d/t

v = 150 m/3.91 s

v = 38.4 m/s

So, the ball was kicked with a speed of 38.4 m/s.

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a bicycle uniformly from rest at time t the velocity of the bicycle is v at what time will the bicycle have a velocity of 4v​

Answers

Here

Acceleration and initial velocities are constant.

According to first equation of kinematics.

[tex]\\ \sf\longmapsto v=u+at[/tex]

[tex]\\ \sf\longmapsto v=0+at[/tex]

[tex]\\ \sf\longmapsto v=at[/tex]

[tex]\\ \sf\longmapsto v\propto t[/tex]

Time was t at velocity vTime will be 4t at velocity 4v

How far has a 15 kg object moved, when a force of 22 N is applied for 5 seconds if it started at 3 m/s?

Answers

First start by finding the acceleration experienced by the force. Then use the acceleration and a suvat equation to solve for distance.
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