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 1

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


Related Questions

A 4.0 ohm resistor has a current of 3.0 A for 5.0 min. How many electrons pass through the resistor during this time interval?

a. 7.5 x 10^21
b. 3.8 x 10^21
c. 8.4 x 10^21
d. 2.1 x 10^21
e. 5.6 x 10^21

Answers

Answer:

e. 5.6 x 10^21 electrons.

Explanation:

In order to calculate the charge Q passing through the resistor for in a definite amount of time is

[tex]Q \ (\mathrm{coulombs}) \ = \ I \ (\mathrm{amperes}) \ \times \ t \ (\mathrm{seconds}) \\ \\ \-\hspace{2.22cm} = \ 3.0 \ \mathrm{A} \ \times \ 5.0 \ \mathrm{min} \ \times \ \displaystyle\frac{60 \ \mathrm{sec}}{1 \ \mathrm{min}} \\ \\ \-\hspace{2.22cm} = \ 900 \ \mathrm{C}[/tex]

Thus, using the law of quantization of electric charge, the number of electrons passing through the resistor during this time interval can be calculated.

[tex]Q \ = \ n \times e \\ \\ n \-\hspace{0.18cm} = \ \displaystyle\frac{Q}{e} \\ \\ n \-\hspace{0.18cm} = \displaystyle\frac{900 \ \mathrm{C}}{1.6 \times 10^{-19} \ \mathrm{C}} \\ \\ n \-\hspace{0.18cm} = 5.6 \times 10^{21} \ \ \mathrm{electrons}[/tex], where n denotes the number of electrons and e is the unit charge of an electron ([tex]1.6 \times 10^{-19} \ \mathrm{C}[/tex]).

How much work is done on a 30 kg object when 20 Newton’s of force is exerted for a distance of 5 meters

Answers

Answer:

Work = force * displacement

= 50 N * 20 Meter

=1000 Newton meter = 1000 joule .

Explanation:

An Astronaut lands on an Earthlike planet and drops a small lead ball with a mass from the top of her spaceship. The point of release is 25 m above the surface of the planet and the ball takes 5 s to reach the ground. The astronaut's mass is 80 kg. Astronaut weight on the planet is

PLEASE NO LINKS, REAL ANSWERS DON'T WASTE TIME.

Answers

First we have to find out the gravity on that planet. We use Newton second equation of motion. It is given as,

s = ut +(gt^2)/2

Distance s = 25m

Time t = 5 s

Velocity u = 0

By putting these values,

25 = 1/2.g.(5)²

g = 2

So the gravity on that planet is 2. Lets find out the weight of the astronaut.

Mass of the astronaut on earth m = 80 kg

Weight of astronaut on earth W = mg = (80)(9.8) = 784 N

Weight of astronaut on earth like planet = (80)(2) = 160 N

x = 160N

What is the significance of Isaac's name?

Answers

Answer:

ghgivjgifigo ra together aigig disgust u hoodie

VERY EASY QUESTION FOR HIGH SCHOOL STUDENTS:
Which of the following frequencies would you expect a young person to be able to hear? 500 Hz, 6000 Hz, 25000 Hz, 15 Hz, 15000 Hz ​

Answers

Answer:

Explanation: 6000z

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.

Identify the types of motion:-
the movement of the snail on the ground
the strings of the guitar
the whirling of stone tied with a thread

Answers

Answer:

the movement of snail on the ground is in random motion.

the strings of the guitar is in oscillatory motion.

the whirling of stone tied with a thread is in circular motion.

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.

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.

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

Lisa runs up 4 flights of stairs in 22 seconds. She weighs 510 Newtons. If each flight rises 310 cm: (a) What is her change in potential energy? (b) What average power (watts) was required during the 22 s?

Answers

The change in potential energy is 6324 Joules while the power is 263.5 Watts.

Potential energy is the amount of energy possessed by a body due to its position relative to another object.

a) Potential energy = weight * height = 510 N * 4 flight * 3.1 m per flight

Potential energy = 6324 Joules

b) Power = Energy / time = 6324 Joules / 22 seconds = 263.5 Watts

The change in potential energy is 6324 Joules while the power is 263.5 Watts.

Find out more on potential energy at: https://brainly.com/question/14427111

Select the correct answer. Chloe is playing the flute some distance away from a crowd. If the atmospheric temperature is 15°C, what is the speed of the sound traveling from the flute? A. 340 meters/second B. 330 meters/second C. 320 meters/second D. 310 meters/second E. 300 meters/second

Answers

Answer:

A. 340 meters/second

I think this is the right answer.

An electrician reads a resistance of 65 ohms and when energize the circuit runs 1.77 amps. what voltage to the system run on?

Answers

Answer:

115.05 Volts

Explanation:

We can use Ohm's Law!

V=IR

V= 1.77 * 65

V=115.05 Volts

What capacitance is needed to store 3μC of charge at a voltage of 120V?

Answers

Answer:

 C = 0.025F

Explanation:

Charge =q=3×[tex]10^{-6}[/tex]C

Voltage=V=120V

Q=CV

C=Q/V

   =3×[tex]10^{-6}[/tex]/120

   =1/40×[tex]10^{-6}[/tex]

        C = 0.025F

         C=2.5 [tex]10^{-4}[/tex]C  0r  25 ×[tex]10^{-3}[/tex]F

1. The acceleration equation of a certain particle is a=2t, after 4s, its velocity reaches 20m/s, then the initial velocity of the particle movement is ) ms B Sms 2.​

Answers

Answer:

Change in velocity is the integral of all the differential accelerations acting over the period of acceleration.

[tex]20 = u + \int\limits^4_0 {2t} \, dt[/tex]

20 = u + t²[tex]\left \{ {{4} \atop {0}} \right.[/tex]

20 = u + 4² - 0²

20 = u + 16

u = 4 m/s

A woman skis from rest down a hill 20 m high. If friction is negligible, what is her speed at the bottom of the slope? Select one: O a. 20 m/s O b. 12 m/s O c. 400 m/s O d. 6 m/s​

Answers

Hi there!

We can use the work-energy theorem to solve.

Recall:

[tex]\large\boxed{E_i = E_f}}[/tex]

Initial energy = final energy

The initial energy is purely potential (she starts from rest), and, if we assign the bottom of the slope as the 0 line, her energy at the bottom is purely kinetic.

PE = mgh

KE = 1/2mv²

We can begin by setting the two equal:

mgh = 1/2mv²

Cancel out the mass and rearrange to solve for velocity:

2gh = v²

v = √2gh

Plug in given values and use g ≈ 10 m/s²:

v = √2(10)(20) = 20 m/s

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.

Read more about Speed here https://brainly.com/question/14298262

12- Calculate the power when a force of 60N moves an object over a distance of 0.6 km in 20

minutes

A. 100watts

B. 6,000 watts

C. 0.25watts

D. 30 watts

Answers

Hi there!

To solve, we must begin by calculating the total WORK done on the object.

W = F · d (Force · displacement)

Plug in the given values. Remember to convert km to m:

1 km = 1000 m

0.6 km = 600 m

W = 60 · 600 = 36000 J

Now, we can solve for power:

P = W/t

Convert minutes to seconds:

1 min = 60 sec

20 min = 1200 sec

P = 36000/1200 = 30 W ⇒ Choice D.

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.

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

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.

an electron moves in a circular path in a region os space filled with a uniform magnetic field B= 0.4 T. to double the radius of the electron’s path, the magnitude of the magnetic field must become:

a. 0.8 T
b. 0.2 T
c. 0.1 T
d. 0.3 T
e. zero

Answers

Answer:

[tex]0.2\; {\rm T}[/tex], assuming that the speed of the electron stays the same.

Explanation:

Let [tex]v[/tex] denote the speed of this electron. Let [tex]q[/tex] denote the electric charge on this electron. Let [tex]m[/tex] denote the mass of this electron.

Since the path of this electron is a circle (not a helix,) this path would be in a plane normal to the magnetic field.

Let [tex]B[/tex] denote the strength of this magnetic field. The size of the magnetic force on this electron would be:

[tex]F = q\, v\, B[/tex].

Assuming that there is no other force on this electron. The net force on this electron would be [tex]F = q\, v\, B[/tex]. By Newton's Second Law of motion, the acceleration of this electron would be:

[tex]\begin{aligned}a &= \frac{F}{m} \\ &= \frac{q\, v\, B}{m}\end{aligned}[/tex].

On the other hand, since this electron is in a circular motion with a constant speed:

[tex]\begin{aligned} a = \frac{v^{2}}{r} \end{aligned}[/tex].

Combine the two equations to obtain a relationship between [tex]r[/tex] (radius of the path of the electron) and [tex]B[/tex] (strength of the magnetic field:)

[tex]\begin{aligned}\frac{q\, v\, B}{m} = \frac{v^{2}}{r}\end{aligned}[/tex].

Simplify to obtain:

[tex]\begin{aligned}r &= \frac{m\, v^{2}}{q\, v\, B} \\ &= \frac{m\, v}{q\, B} \\ &= \left(\frac{m\, v}{q}\right)\, \frac{1}{B}\end{aligned}[/tex].

In other words, if the speed [tex]v[/tex] of this electron stays the same, the radius [tex]r[/tex] of the path of this electron would be inversely proportional to the strength [tex]B[/tex] of the magnetic field. Doubling the radius of this path would require halving the strength of the magnetic field (to [tex]0.2\; {\rm T}[/tex].)

True or False. Father of a multitude" obeyed God's command to kill His son because the Ten Commandments had not yet been given.

Answers

Answer:

Explanation:

The father of the Multitude was Abraham. And he did precede the 10 commandments. But the story really has nothing to do with the 10 commandments.

He obeyed God's Command because it was God who issued it. Abraham had complete faith in God's ability to make things come out right. The sacrifice of Isaac was a test of faith.

I would advise you to answer true, but whoever wrote the question employed a twisted kind of logic. The sacrifice of Isaac had nothing to do with the 10 commandments. Thou Shalt not murder is not really covered by this circumstance.

So true might not be the correct answer. The question is very complex and does not lend itself to a simple True/ False answer.

Blonde hair is produced by inheriting double recessive alleles (bb) from one’s parents. What is the probability of their offspring having blonde hair?
plz help

Answers

Answer:

25%

Explanation:

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

Answers

The answer is:

That they are switched on

Using the figure shown, if I₃= 1.17 A, then (I₁ , I₂) A is:

a- (3.17 , 2.00)
b- (1.33 , 0.17)
c- (1.67 , 0.50)
d- (1.27 , 0.10)

Answers

The value of the current in each arm of the circuit is given by Kirchhoff's

Rules.

The correct option for (I₁, I₂) is; b-. [tex]\underline{(1.33, \ 0.17)}[/tex]

Reasons:

By Kirchhoff's junction rule, we have that the sum of current at a junction is given as follows;

[tex]\displaystyle \mathbf{ \sum \limits_{k = 1}^ n I_K} = 0[/tex]

Which by the direction of the currents in the given circuit diagram, we have;

I₁ - (I₃ + I₂) = 0

Therefore;

I₁ = I₃ + I₂

According to Kirchhoff's loop rule theory, we have;

[tex]\displaystyle \mathbf{\sum \limits_{k = 1}^ n V_K} = 0[/tex]

In the loop having the 2 Volts emf., we have;

-I₃·R₁ + 2 + I₂·R₂ = 0

I₃ = 1.17 A

R₁ = 2 Ω

R₂ = 2 Ω

Which gives;

-1.17 × 2 + 2 + I₂×2 = 0

I₂ × 2 = 2.34 - 2 = 0.34

I₂ = 0.34 ÷ 2 = 0.17

I₂ = 0.17 A

From the loop having the 7 Volts emf. we have;

7 - 0.17×2 - I₁ × 4 - I₁ × 1 = 0

Which gives;

7 - 0.34 - 5·I₁ = 0

5·I₁ = 7 - 0.34 = 6.66

I₁ = 6.66 ÷ 5 = 1.332

Therefore;

[tex]\underline{\mathbf{(I_1, \, I_2)} = (1.33, \, 0.17)}[/tex]

Learn more about electric circuits here:

https://brainly.com/question/2608877

2. What is the oxidation number of oxygen in most compounds?
A. 6
B.-2
C. 8
D.O

Answers

Answer:i am pro

kExplanation:

The answer is b -2. Why because it’s electrically neutral compound

I need help with us history

Answers

Answer:

English is the language

Answer: im most likely wrong but i think its A

Explanation:

If 90J of energy are available for every 30C of charge, what is the potential difference?
Enter your answer as a number
V

Answers

Answer:

3 v

Explanation:

Who did the ram caught in the thicket (Genesis 22:13) represent?

Answers

Answer:

I'm no Bible person, but I think it stands for i-dont-give-a-donkey-poop.

and suck-dog-nuts.

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Please help and quickly please and 20 points with brainelest Thank you Five-A-Day, a company that produces and distributes organic vegetables for grocery stores, wants to market its vegetables in such a way that children will want to buy them. To accomplish this, the company creates an advertising campaign that features children dressed up in vegetable costumes attending a Halloween party and eating vegetables and dips as a snack. The company also packages cut up vegetables in grab-and-go containers in fun shapes and colorful designs to attract children's attention in the grocery store. Which marketing function does this scenario most closely describe? A. grading B, buying C. selling D. promoting E. marketing research Read the passage from The Pillow Book. "Women who have served in the Palace, but who later get married and live at home, are called Madam and receive the most respectful treatment. To be sure, people often consider that these women, who have displayed their faces to all and sundry during their years at Court, are lacking in feminine grace. How proud they must be, nevertheless, when they are styled Assistant Attendants, or summoned to the Palace for occasional duty, or ordered to serve as Imperial envoys during the Kamo Festival! Even those who stay at home lose nothing by having served at Court. In fact they make very good wives. For example, if they are married to a provincial governor and their daughter is chosen to take part in the Gosechi dances, they do not have to disgrace themselves by acting like provincials and asking other people about procedure. They themselves are well versed in the formalities, which is just as it should be. What conclusion can be drawn about the authors point of view in this passage? Women who serve in the court are not graceful. Serving in the palace benefits women later in life. Serving in the palace should be the goal for all women. Women who get married later in life receive the most respect. Lily has 7 fewer ribbons than Dora. Lily has 13 ribbons. How many ribbons does Dora have? Write the equation of the line that has slope 1 half and passes through (4, -1). A heterozygous gray (two genes are involved) cat is crossed with a cat that is heterozygous for these two genes. What is the probability of a black kitten? What is a possible genotype of a black kitten? thanks In which 2 ways can you create a customized template for a project in qbo How do I say In formal way to a teacher in german language.Good evening,I am sending you my essay.Have great rest of the evening What is the major difference between Gardner's Multiple Intelligences and learning styles? Gardner's Multiple Intelligences focuses on the students' intellectual abilities while learning styles focuses on students' weaknesses. Students can have multiple intelligences but only one learning style. Gardner's Multiple Intelligences represents different intellectual abilities while learning styles focuses on how students prefer to learn.There is no major difference. one minus five i divided by two i what is the sum of 4 and -5 how many supreme court justices have been impeached Can someone tell me an ice storm is?BUT IN YOUR OWN WORDS!!no links please 100 POINTS!!!what kind of laptop is compatible with my pc lol i want to do a dual pc setup and my budget is $500. PC specs:AMD Ryzen 7 1700X Eight-Core Processor 3.40 GHz16 GB DIMM 1400 MHz RAM Radeon RX580 Series simplify (( -17)^2) where to find finneon in pokemon brilliant diamond A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?50 POINTS + BRAINILEST TO CORRECT ANSWER Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width Virginia has 11 people in the house and 2 in the senate how many electrons votes does it have What was the Eisenhower doctrine?