A 3,204 kg tree positioned on the edge of a cliff 247 m above the ground breaks away and falls into the valley below which is considered zero potential energy. If the tree’s mechanical energy is conserved, what is the speed of the tree just before it hits the ground in meters/sec?

Answers

Answer 1

Let's see

PE is turned to KE as per law of conservation of energy

[tex]\\ \rm\Rrightarrow mgh=\dfrac{1}{2}mv^2[/tex]

[tex]\\ \rm\Rrightarrow 2gh=v^2[/tex]

[tex]\\ \rm\Rrightarrow 2(10)(247)=v^2[/tex]

[tex]\\ \rm\Rrightarrow v²=4940[/tex]

[tex]\\ \rm\Rrightarrow v=70.3ms^{-1}[/tex]


Related Questions

You turn on a cars radio, what energy transformation is taking place?

Answers

Answer:

C probably

Explanation:

think c because when you first start the car the first thing you hear electrical sound.

Question 4 of 20
If the distance between two objects is doubled, what happens to the
gravitational force between them?
A. It decreases to 1/2 its original magnitude.
B. It increases to 2 times its original magnitude.
C. It increases to 4 times its original magnitude.
D. It decreases to 1/4 its original magnitude.

Answers

Answer:

D

Explanation:

F = G m1 m2 / r^2       now double  r

 F =  G m1m1/ (2r)^2

    F =  1/4  G m1m2/r^2     <===== this is 1/4 of the original

Bianca is helping the theatre director at her school with lighting, sound, and set design for a school play. She will be choosing the materials that will be used on stage and on the walls of the theatre. After she reads the script and makes observations inside the theatre, she makes the following list of the factors to consider in her design.


The echoes throughout the theatre need to be reduced.
The set should not reflect too much light into the audience’s eyes.
The only lights available are white, purple, and yellow. The filters available are red and blue.
The blue sky on the set should appear black for Act 2.

Bianca draws a detailed illustration of her plan to show the theatre director. She labels it with the materials she plans to use.





Design Solutions: Based on Bianca’s criteria and model, which materials would you change on stage? Explain your reasoning

Answers

Bianca is helping the theatre director at her school with lighting, sound, and set design for a school play. She will be choosing the materials that will be used on stage and on the walls of the theatre the materilas neee to be changes is The only lights available are white, purple, and yellow.

What is echo ?

A proper echo is a single mirrored image of the sound source. The phrase echo derives from the Greek ἠχώ (ēchō), itself from ἦχος (ēchos), "sound". Echo withinside the Greek peoples tale is a mountain nymph whose cappotential to talk changed into cursed, leaving her capin a position handiest to copy the ultimate phrases spoken to her.

Bianca draws a detailed illustration of her plan to show the theatre director. She labels it with the materials she plans to use the  only lights available are white, purple, and yellow should be removed as to avoid the light refraction.

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Which is not an example of static electricity?
A. Clothes sticking together in the dryer
B. Getting shocked when you touch a door knob
C. plugging in a lamp
Answer asap

Answers

Plugging in a lamp is not an example of Static electricity. Thus, the correct option is C.

What is Static electricity?

Static electricity may be defined as the consequence of an imbalance between negative and positive charges in an object. It does not involve the direct flow of electrons throughout a wire.

Clothes sticking together in the dryer and getting shocked when you touch a doorknob are examples of static electricity while plugging in a lamp is an example of mobile electricity that mediates the direct flow of electrons to generate an electric current and as a result, the lamp glows.

Therefore, the correct option for this question is C.

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PLEASE ANSWER THIS FAST
The electric field lines show the way (blank) charges would move if they were in the field brainly.

Answers

Answer:

Explanation:

If a positive charge is moving in the direction of electric field vector, its velocity will increase, whereas positive charge moving opposite to the direction of the electric of electric field will decelerate.

The case with a negative charge is just reversed verse, it will decelerate when moving along the field direction and accelerate when moving opposite to it.

A railroad cart with a mass of m1 = 11.6 t is at rest at the top of an h = 10.9 m high hump yard hill.
After it is pushed very slowly over the edge, it starts to roll down. At the bottom it hits another cart originally at rest with a mass of m2 = 23.2 t. The bumper mechanism locks the two carts together. What is the final common speed of the two carts? (Neglect losses due to rolling friction of the carts. The letter t stands for metric ton in the SI system.)

Answers

The final common speed of the two carts will be 69.3 m/sec.The momentum conservation principle is applied.

What is the law of conservation of momentum?

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

Unit conversion:

1 metric tons = 1000 kg

Given data;

m₁= 11.6 metric ton =11600 kg

m₂ = 23.2 metric ton =  23200 kg

Let v represent the combined velocity of the two carts once they are connected, and let u represent the starting velocity of cart 1 when it reaches the bottom.

Considering energy conservation;

[tex]\rm m_1 g h = \frac{1}{2} m_1 \times u^2 \\\\ u^2 = 2gh\\\\ u^2 = 2 \times 9.8 \times 10.6 \\\\ u = 207.972 \ m/s[/tex]

From the conservation of momentum principle;

[tex]\rm m_1 \times u = (m_1 + m_2) v\\\\ 11600 \times 207.972 = (11600 + 23200) \times v \\\\ v = 69.3 \ m/s[/tex]

Hence, the final common speed of the two carts will be 69.3 m/sec.

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Two very large charged parallel metal plates are 13.0 cm c m apart and produce a uniform electric field of 3.40×106 N/C N / C between them. A proton is fired perpendicular to these plates with an initial speed 5.20 km/s k m / s , starting at the middle of the negative plate and going toward the positive plate.

Answers

The work done by the electric field on the proton when it reaches the positive plate willl be 9.1 ×10⁻¹⁵ J.

What is an electric field?

A physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field, either attracting or repelling them, is referred to as an electric field,

The electric field formula is as follows:

E = F /Q

Where,

The electric field is denoted by the letter E.

F is a powerful letter.

The charge is Q.

The potential difference between the plate;

[tex]\rm V = E d \\\\ V = 3.40 \times 10^6 \times 0.13 \ m \\\\ V= 442000 \\\\ V = 4.42 \times 10^5 \ v[/tex]

Force on the charged particle ;

[tex]\rm F = qV \\\\ F= 1.6 \times 10^{-19} \times 4.42 \times 10^ 5 \\\\\ F = 7.0 \times 10^{-14} \ N[/tex]

Work done in  order to move the charge;

[tex]\rm W = F \times d \\\\ W= 7.0 \times 10^{-14} \ N \times 0.13 m \\\\ W=9.1 \times 10^{-15} \ J[/tex]

Hence, the work done by the electric field on the proton when it reaches the positive plate willl be 9.1 ×10⁻¹⁵ J.

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What type of power plant burns material to make electricity?
O A. Geothermal
OB. Hydroelectric
OC. Fossil fuel
OD. Radiant

Answers

The type of power plant burns material to make electricity is Fossil fuel. The correct option is C.

What is energy?

Energy is the ability to do work.

There are different kind of energies like kinetic energy, potential energy, gravitational energy and  heat energy.

The energy obtained from burning different type of materials like Coal, gas and oil and produces heat.

Fossil fuel power plants burn coal or oil to create heat and generate steam to run turbines which generate electricity.

Thus, the correct option is C.

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A hollow conducting sphere has an inside radius of r1 = 0.17 m and an outside radius of r2 = 0.28 m. The sphere has a net charge of Q = 4.8E-06 C. What is the magnitude of the field, in newtons per coulomb, at a distance of 0.05 m from the center of the sphere?

Answers

Explanation:

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Where is the body or mass in the water when the buoyant force is equal to the weight of the mass? Does it float up, or down or in the middle?

Answers

Answer:

it will float

Explanation:

according to Archimedes' principle, if the buoyant force is equal to the weight of the mass of the object, the object will float

How is volume flow related to cross sectional area? How is it related to fluid pressure?

Answers

Answer:

A venturi meter is used to measure the flow speed of a fluid in a pipe. The meter is connected between two sections of the pipe (the figure); the cross-sectional area A of the entrance and exit of the meter matches the pipe's cross-sectional area. Between the entrance and exit, the fluid flows from the pipe with speed V and then through a narrow ''throat'' of cross-sectional area a with speed v. A manometer connects the wider portion of the meter to the narrower portion. The change in the fluid's speed is accompanied by a change Δp in the fluid's pressure, which causes a height difference h of the liquid in the two arms of the manometer. (Here Δp means pressure in the throat minus pressure in the pipe.) Let A equal 5·a. Suppose the pressure p1 at A is 2.1 atm.

Compute the values of (a) the speed V at A and (b) the speed v at a that make the pressure p2 at a equal to zero.

(c) Compute the corresponding volume flow rate if the diameter at A is 4.0 cm.The phenomenon that occurs at a when p2 falls to nearly zero is known as cavitation. Please assume that the fluid is water. The water vaporizes into small bubbles.

Particles q1, q2, and q3 are in a straight line.
Particles q1 = -5.00 x 10-6 C,q2 = +2.50 x 10-6 C,
and q3 = -2.50 x 10-6 C. Particles q₁ and q2 are
separated by 0.500 m. Particles q2 and q3 are
separated by 0.250 m. What is the net force on q2?

Answers

The net force on q2 will be 1.35 N

A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction.

Given Particles q1, q2, and q3 are in a straight line. Particles q1 = -5.00 x 10-6 C,q2 = +2.50 x 10-6 C, and q3 = -2.50 x 10-6 C. Particles q₁ and q2 are separated by 0.500 m. Particles q2 and q3 are separated by 0.250 m.

We have to find the net force on q2

At first we will find Force due to q1

F = 9 × 10⁹ × 5 × 10⁻⁶ × 2.5 × 10⁻⁶ / 0.5²

F = 450 × 10⁻³

F₁ = 0.45 N (+)

Now we will find Force due to q2

F = 9 × 10⁹ × 5 × 10⁻⁶ × 2.5 × 10⁻⁶ / 0.25²

F = 1800 × 10⁻³

F₂ = 1.8 N (-)

So net force (F) will be

F = F₂ - F₁

F = 1.8 - 0.45

F = 1.35 N

Hence the net force on q2 will be 1.35 N

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An object has a displacement of 45
degrees. Convert this displacement
to minutes.

[?] minutes

Answers

Answer:

45° to min.

1° ----> 60 min

45° ----> ?.

45 * 60

2700 min

2700 min

What is the acceleration of the object?
m/s²

Answers

Answer:

-2.5m/s^2

Explanation:

10-40/12-0=-2.5

A rocket is fired with an initial VELOCITY OF 100m/s at an angle of 55° above the horizontal, It explodes On the mountain Side 12s after its Firing What is X - and y-coordinates of the rocket relative to its Firing Point?​

Answers

Answer

688.32m and 277.44m

Explanation :

[tex] \large{\maltese{\textsf{\underline{To find :-}}}} [/tex]

The X and Y coordinates of the rocket relative of firing

[tex] \large{\maltese{\textsf{\underline{Given :-}}}} \\ \\ \sf velocity (v_i) = 100m{s}^{-1} \\ \sf angle ({\theta}_{1}) = 55.0{\degree} \\ \sf time (t) = 12s [/tex]

[tex] \Large{\maltese{\textsf{\underline{\underline{Step by Step Solution:-}}}}} [/tex]

The horizontal range of projectile at x.

[tex] \sf \large{x = v_{xi}} \times t \\ \\ \sf \large{x = v_i \times \cos {\theta}_{i} \times t} [/tex]

[tex] \large\textsf{\underline{Now substituting the required values}} [/tex]

[tex] \sf x = 300 \times \cos 55{\degree} \times 12 \\ \\ \sf x = 100 \times 0.5756 \times 12 \\ \\ {\underline{\boxed{\bold{ x = 688.32m}}}} [/tex]

The vertical position of projectile at y.

[tex]\sf \large y = v_{yi} \times t - (\frac{1}{2} \times g \times {t}^{2}) \\ \\ \sf \large y = v_i \times \cos \theta \times t - \frac{1}{2} g {t}^{2} [/tex]

[tex]\textsf{ \large {\underline{Now substituting the required values}} } [/tex]

[tex] \sf y = 100 \times \cos55{ \degree} \times 12 - \frac{1}{2} \times 9.80 \times {12}^{2} \\ \\ \sf y = 100 \times 0.8192 \times 12 - 0.5 \times 9.8 \times 144 \\ \\ \sf y = 983.04 - 705.6 \\ \\ \underline{ \boxed{ \bold{y = 277.44m}}} [/tex]

Henceforth, the distance at horizon is 688.32m and at vertical is 277.44m.

What are some words that have changed meaning due to technological advances in the last 20 years?

Answers

Some words that have changed meaning due to technological advances are dial, type, tweet, drone, and spam.

A 50 N force is applied to the free end of a spiral spring of force constant, 100 Nm
Calculate the work done by the force to stretch the spring.

Answers

The work done by the force to stretch the spring is determined as 12.5 J.

Work done by the force

The work done by the force to stretch the spring is calculated as follows;

W = ¹/₂Fx

F = kx

W = ¹/₂F(F/k)

W = ¹/₂F²/k

W = ¹/₂ x (50²)/100

W = 12.5 J

Thus, the work done by the force to stretch the spring is determined as 12.5 J.

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Set up the Applied Force (force exerted) on both crates with the current Friction setting at 350 N. On Part 2, draw a force diagram that includes all external forces acting on the two crates

Answers

The acceleration will be constantly equal to 1 m/s².Option c is correct.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Force is defined as the product of mass and acceleration. Its unit is Newton.

Given data;

Force,F = 350 N

Friction force,f=350 N

F=f

Because the frictional and applied forces on the two boxes are of equal strength, both move at the same pace. As a result, the acceleration will be constantly equal to 1 m/s².

Hence option c is correct.

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What is the estimated density of the golf ball? Record your answer to the nearest hundreth.

g/cm3

Answers

The estimated density of the golf ball is  170  kg/m³

What is density?

Density is the ratio as Mass per unit Volume.

In displacement method,  

First , we measuring the volume of water displaced by an object which tell us the volume of the object then we will use the physical balance to determine its mass.

Then calculate the density by dividing the mass by the volume.

Here,  D = m/V

By displacement method , the estimated volume of golf ball is 100 cm³  and estimated mass is 600 g

Then ,

Density =  100 cm³ / 600 g = 0. 17 g/ cm³ = 170  kg/m³

So the estimated density of golf ball is  170  kg/m³

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identity the sentence that uses quotas and interviews.
A. let us all learn from the history of our country.
B. the guests arrived on time.
C. "My dream is to build my own mansion, "Adrian answered.
D. Teacher Cellyn Kyre ensures that her classroom is always ready for the face to face classes​

Answers

Teacher Cellyn Kyre ensures that her classroom is always ready for the face to face classes​ is the sentence used in  quotas and interviews.

What is interview?

Interview is the examination of the candidate from which a person identifies the candidate is fit for the organization o r not. Maximum interview happened between the interviewer and the candidate. or sometime more people can also be present.

Thus, option D is correct.

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A car traveling at 120km/h towards west makes a right turn and travel north without changing its speed .120km/h120km/h.Using a vector diagram.Finding the magnitude and direction of the resultant velocity of the car

Answers

The magnitude and direction of the resultant velocity of the car will be 169.70 km/h and 45°.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A car traveling at 120 km/h towards west makes a right turn and travel north without changing its speed.

Then the magnitude (R) will be

R² = 120² + 120²

R² = 28800

R = 169.70 km / h

Then the direction of the resultant velocity will be

tan θ = 120 / 120

tan θ = 1

tan θ = tan 45°

     θ = 45°

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Which picture shows a boat riding on a trough?
Select one:
a. A
b. B
c. C
d. D

Answers

Answer:

B

Explanation:

velocity and distance of free falling object dropped from rest

Answers

The diagram shows the speed and distance of a free-falling item dropped from rest. In the attachment, there is a graph.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The velocity and the time at the different points are;

A(0 sec ,0 m/sec)

B(1,9.8)

C(2,19.6)

D(3,29.4)

E(4,39.2)

F(5,49.0)

The point is plotted on the graph and get the graph.

The graph is attached in the attachment.

The complete question is;

Velocity and distance of free-falling object dropped from rest are given in the digrame. Draw the velocity-time graph for the given conditions.

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Waves can carry either ____ or __________ energy?

Answers

Mechanical or Electromagnetic

Answer:

ways can carry either __machanical___ or electromagnetic energy

Honey bees beat their wings, making a buzzing sound at a frequency of 2.3 × 102 hertz. What is the period of a bee's wing beat?

Answers

The time period of bee’s wing beat is 1 second

What’s the allowable ampacity of a No. 12 copper wire with type THHN insulation installed in a raceway with 35 wires? Question 3 options: A) 10 A B) 15 A C) 8 A D) 12 A

Answers

The allowable ampacity of a No. 12 copper wire with type THHN insulation installed in a raceway with 35 wires is approximately 12 amperes. This is best represented by option D.

According to the National Electrical Code Table (NEC), a derating factor must be applied for any raceway with more than three current-carrying conductors (in our case, copper wires). In a raceway with 31-40 current-carrying conductors, the derating factor is 50%. Because the ampacity of a No. 12 copper wire usually is 25 amperes (A), we can multiply this by our derating factor to find that:

25 • 0.50 = 12.5

The exact allowable ampacity of this copper wire is 12.5 amperes; however, we can round down to find that the closest answer is 12 A.

Hence, option D represents the best answer.

Answer:

  D)  12 A

Explanation:

You want to know the allowable ampacity of AWG 12 type THHN copper wire in a raceway with 35 wires.

Nominal ampacity

Table 310.15(B)(16) of the 2017 National Electrical Code gives the nominal rating of AWG 12 type THHN copper wire as 30 A when installed in an environment with a temperature of 30 °C or less.

Derating

Table 310.15(B)(3)(a) gives the adjustment factor when there are more than three conductors in a raceway or cable. For 31–40 conductors, the ampacity must be derated to 40% of its nominal value.

In a raceway with 35 wires, the allowable ampacity of THHN AWG 12 wire is ...

  (30 A)(0.40) = 12 A

__

Additional comment

For environmental temperatures above 30 °C, Table 310.15(B)(2)(a) gives additional derating factors. The adjustment factor for temperatures up to 50 °C (122 °F) is 0.82, which would bring the allowable ampacity down to about 9.8 A.

Which statement describes how upwelling occurs

Answers

The statement best describes how upwelling occurs is Upwelling causes nutrients, minerals, and tiny organisms to rise. The correct option is C.

What is upwelling?

Upwelling occurs when winds push surface water away from the shore and deeper water rises to fill the gap.

The upwelling is a cycle that shows up in the water bodies all over the planet. This cycle is basically addressing the ascending of the virus waters towards the surface where there's hotter environment, subsequently hotter water also.

With the ascent of the virus waters towards the surface, everything with it ascend also. The virus waters are plentiful in supplements and minerals, as well as minuscule creatures, like the Phyto-microscopic fishes.

This is a cycle that is vital for the presence of the environments in the bigger water bodies.

Thus, the correct option is C.

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an object is held 33.5 cm from a convex mirror. it creates a virtual image of magnification 0.253. what is the focal length of the mirror?

Answers

Answer:

Magnification= -image distance/object distance

.253=image distance/33.5

image distance= 8.48 cm

A 2.0-V battery is connected in a circuit with an ammeter and an unknown resistor, P. The current is observed to be 0.70 A. What would be the current in the circuit if a 12-V battery replaces the 2.0-V battery?

Answers

Answer:

4.2 A

Explanation:

V=IR

V= voltage

I= Current

R= resistance

so you will find the resistance in the circuit so

R= V/I

R=2V/0.70A

R=2.857 ohms ( TO THE NEAREST THOUSANDTH)

then you will find the current of the 12V battery using the resistance in the circuit

I=V/R

I=12/2.857

I=4.2A (TO THE NEAREST TENTH)

One mole of a substance contains 6.02 × 1023 protons and an equal number of electrons. If the protons could somehow be separated from the electrons and placed in very small, individual containers separated by a million meters, what would be the magnitude of the electrostatic force exerted by one box on the other?

Answers

Explanation:

it is almost zero .this is because the distance and the electrostatic force are inversely proportional

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In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form. 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His head drooped forward on his breast . with shriveled hands he flung his seed , Nor ever turned to look behind ; of sight or sound he took no heed ; It seemed he was both deaf and blind . His dim face showed no soul beneath , Yet in my heart I felt a stir , As if I looked upon the sheath That once had held Excalibur . " from The Sower by James Russell Lowell In what type of attack does the adversary leverage a position on a guest operating system to gain access to hardware resources assigned to other operating systems running in the same hardware environment Solve for x: x + 3-4=7 At which of the levels of market efficiency does the efficient market hypothesis support the technical analysis approach to future share price determination? What alterations are recommended for resuscitation drug administration? Blank include long term investments such as real estate and retirement savings if A = (9, 18) and B = (1, 12), what is the lenght of AB Which factors gave the tea party high rates of success in influencing the outcomes of recent amendment elections in texas? WHAT DOES THIS MEAN???"If you take Nia out for mexican food, have an air freshener on standby." A surveyor is measuring the distance across a canyon. He sets up two similar right triangles and finds that the length of CD = 12 feet and the length of DE = 16 feet.If ABC ~ EDC, what is the length side AB? Placement AssessmentA certain drug is made from only two ingredients: compound A and compound B. There are 7 milliliters of compound A used for every 4 milliliters of compoundB. If a chemist wants to make 946 milliliters of the drug, how many milliliters of compound A are needed?milliliters of compound AXTime Remaining: 22:11:23 I Question 17?LibbiEst what are the importance of computer software In which type of society does industry growbecause most people are not agriculturespecialists?A. Rural societyC. Subsistence societyB. Tribal societyD. Modern society what do i say to "tell me about yourself" in a job interview (20 pts) There are 6.02 x 10^23 formula units Na2O in a sample. How many grams of Na2O is this? The molar mass of Na2O is about 62 g/mol. Alicia wants to model allopatric speciation for her science project. Shehas a population of ants to use as her model. What should she do tothe ant population?A introduce another species of ants to her populationBintroduce a new food source to part of her populationCplace a wall in their habitat that divides the populationDremove the water source from the population Separation anxiety disorder: Select one: a. Can be diagnosed at any age b. Should only be diagnosed well after normal separation anxiety is usually resolved c. Can be diagnosed in adults, even if the symptoms first appear in adulthood d. Both b and c are correct