A 25.0 kg child slides down a long slide in a playground. She starts from rest at a height h1 of 21.00 m. When she is partway down the slide, at a height h2 of 8.00 m, she is moving at a speed of 7.80 m/s. Calculate the mechanical energy lost due to friction (as heat, etc.).

Answers

Answer 1

Answer:

The mechanical energy lost due to friction is 2,424.5 J

Explanation:

Given;

mass of the child, m = 25 kg

intial velocity of the child, u = 0

final velocity of the child, v = 7.8 m/s

initial position of the child, h₁ = 21 m

final position of the child, h₂ = 8 m

Let the energy lost due to heat = ΔE

ΔE + ΔK.E  + ΔP.E = 0

ΔE  +   ¹/₂m(v² - u²)  +  mg(h₂ - h₁) = 0

ΔE   +   ¹/₂ x 25(7.8² - 0)    +   25 x 9.8(8 - 21) = 0

ΔE   +  760.5 J   - 3185 J =

ΔE   -  2,424.5 J = 0

ΔE = 2,424.5 J

Therefore, the mechanical energy lost due to friction is 2,424.5 J


Related Questions

What is the Y-component of a vector A, which is of magnitude
16-12 and at a 45° angle to the horizontal?

Answers

Explanation:

the answer is in the image above

The Y-component of a vector A, which is of magnitude 16√2 and at a 45° angle to the horizontal would be 16

What is a vector quantity?

The quantities that contain the magnitude of the quantities along with the direction are known as the vector quantities.

Examples of vector quantities are displacement, velocity acceleration, force, etc.

As given in the problem we have to find out the  Y-component of a vector A, which is of magnitude  16√12  and at a 45° angle to the horizontal,

Y component of the vector A =  16√2 sin45°

                                                =16√2 ×1/√2

                                                =16

Thus, the Y component of vector A would be 16.

To learn more about the vector quantity here, refer to the link;

https://brainly.com/question/15516363

#SPJ2

You are at a furniture store and notice that a Grandfather clock has its time regulated by a physical pendulum that consists of a rod with a movable weight on it. When the weight is moved downward, the pendulum slows down; when it is moved upward, the pendulum swings faster. If the rod has a mass of 1.23 kg and a length of 1.25 m and the weight has a mass of [10] kg, where should the mass be placed to give the pendulum a period of 2.00 seconds

Answers

Answer:

The distance is 1.026 m.

Explanation:

mass of rod, M = 1.23 kg

Length, L = 1.25 m

mass, m = 10 kg

Time period, T = 2 s

Let the distance is d.

The formula of the time period is given by

[tex]T = 2\pi\sqrt\frac{\frac{1}{3}ML^2+md^2}{(M +m)g}\\\\2\times 2 = 4\pi^2\times \frac{\frac{1}{3}\times1.23\times1.25\times 1.25+ 10d^2}{(1.23 + 10)\times9.8}\\\\11.16 = 0.64 + 10d^2\\\\d= 1.026 m[/tex]

Which of the following changes would double the force between two charged particles?
A. Doubling the amount of charge on each particle
B. Increasing the distance between the particles by a factor of 2
C. Decreasing the distance between the particles by a factor of 2
D. Doubling the amount of charge on one of the particles

Answers

Answer:

Doubling the amount of charge on one of the particles.

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

Where

r is the distance between charges

or

[tex]F\propto \dfrac{1}{r^2}[/tex]

On doubling the charge on one of the particle,

F' = 2F

So, the force gets doubled. Hence, the correct option is (d).

The lamp has a resistance of 10 ohms each resistor has a resistance of 10 ohms what is the total resistance of the circuit

Answers

Mark Brainliest please

Answer : if connected series, 20 ohms
And if connected parallel, answer will be less than 20 ohms

When resistors are wired in series, the total circuit resistance increases because each resistor contributes opposition to the circuit's current flow. Therefore if a 10 ohm resistor is placed in series with another 10 ohm resistor, the total resistance contributed by the two resistors is 20 ohms.

Describes the relationship between the free energy change, the reaction quotient, and the equilibrium constant.

Answers

Explanation:

Reaction quotient is defined as the ratio of the concentration of the products and reactants of a reaction at any point of time with respect to some unit. It is represented by the symbol Q.

The ratio of the concentration of products and reactants of a reaction in equilibrium with respect to some unit is said to be equilibrium constant expression. It is represented by the symbol K.

The relationship between Gibbs free energy change and reaction quotient of the reaction is:

[tex]\Delta G=\Delta G^o+RT ln Q[/tex]           ......(1)

where,

[tex]\Delta G[/tex] = Gibbs free energy change

[tex]\Delta G^o[/tex] = Standard Gibbs free energy change

R = Gas constant

T = Temperature

At equilibrium, the free energy change of the reaction becomes 0 and standard Gibbs free energy change can be related to the equilibrium constant by the equation:

[tex]\Delta G^o=-RT ln Q[/tex]           ...(2)

Mark pushes his broken car 140 m down the block to his friend's house. He has to exert a 110 N horizontal force to push the car at a constant speed. How much thermal energy is created in the tires and road during this short trip?

Answers

Answer:

Explanation:

This is a work problem...energy is created and used in the form of work.

W = FΔx where W is work, F is the force needed to move the object Δx in meters.

W = 110(140) ∴

W = 15000 J

Other Questions
what is the different between the love expressed in " a red, red rose" by Robert Burns and the love mentioned in " when i was twenty " by A.E.Houseman? Data from Estrin Corporation's most recent balance sheet and income statement appear below: This Year Last Year Accounts receivable $ 109,000 $ 106,000 Inventory $ 139,000 $ 158,000 Sales on account $ 787,000 Cost of goods sold $ 501,000 The average sale period for this year is closest to: (Round your intermediate calculations to 2 decimal places.) Multiple Choice 45 days 50 days 101 days 108 days Which best describes the purpose of the numbers onthe diagram?relate the parts on the camera and TV to the stepsin the procedureO emphasize that the camera and TV have many partsshow the total number of steps involved in theproceduresummarize the topic and main ideas of the diagramand text Which of the following best describes daily temperatures in deserts?a. hot during the day and cold at night b. hot during the day and warm at night cool during the day and very cold at night d. they depend upon the type of desert and its location Please select the best answer from the choices provided What is the product of 5.2104 and 1.310-2? Please help!! i need to know this question in 20 minutes About how many times heavier is the blue whale than the rhinoceros Which of the following is true about oxidation-reduction reactions?=============================================================One atom is oxidized and one is reducedBoth atoms are oxidized and reducedThe total number of electrons changesOne atom can be oxidized without one being reduced Choose a strategy and solve. Enter your answer using digits. You may need to use scratch paper or other objects.Jim is helping his dad cook hamburgers for his family and friends. There are 15 people. Each person wants two hamburgers. Three people want hamburgers with cheese. Two people want hamburgers with mustard. Two people want hamburgers with ketchup. The rest want them plain. How many plain hamburgers will Jim and his dad make? T={(-9, -8), (-3, 7), (7, -7), (-9,0)} How much of the American Revolution's cause is tied to the ideas of liberty and colonist's pursuit of commerce? 4(2x + 3) 5yThe expression above provides an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." Select ALL the correct answers. Select all the expressions that are equivalent to the polynomial below (3x-7)(2x+8) I have to solve for x in a diagram. it is a right triangle, cut into a smaller right triangle and a trapezoid. The cut measure 6, the height of the triangle is 12, and the known part of the base is 9. X is the rest of the base. Comparative and superlative My new phone is ____ than my old one a- betterb- more good c- the best The values used in the scale of pH and pOH are derived from a system designed by ______.CurieGordonsenDaltonSorenson Which of the following is a solution of y > |x| - 5? Tanisha has 7 less than 4 times as many toy cars as Fernando. If Tanisha has 9 cars, how many cars does Fernando have?1c. 2b. 4d. 14a.Help In the 15th century china stopped trading with other areas of the world and became isolated.Which of the demonstrates that this action was the result of china's fear of cultural change? Green Melon Electronics Company's management plans to finance its operations with bank loans that will be repaid as soon as cash is available. The company's management expects that it will take 60 days to manufacture and sell its products and 50 days to receive payment from its customers. Green Melon's CFO has told the rest of the management team that they should expect the length of the bank loans to be approximately 110 days. Which of the following responses to the CFO's statement is most accurate?a. The CFO is not taking into account the amount of time the company has to pay its suppliers. Generally, there is a certain length of time between the purchase of materials and labor and the payment of cash for them. The CFO can reduce the estimated length of the bank loan by this amount of time. b. The CFO's approximation of the length of the bank loans should be accurate, because it will take 110 days for the company to manufacture, sell, and collect cash for its goods. All these things must occur for the company to be able to repay its loans from the bank. Setting and implementing a credit policy is important for three main reasons: 1. It has a major effect on sales, it influences the amount of funds tied up in receivables, and it affects bad debt losses. 2. It has a minor effect on sales, it influences the amount of funds tied up in receivables, and it affects bad debt losses.