A 30.0 kg rock falls from a 35.0 m cliff. What is the kinetic and potential energy when the rock has fallen 12.0 m?

Answers

Answer 1

Answer:

When the rock has fallen 12.0 m;

The kinetic energy of the rock is approximately 3,531.6 J

The potential energy of the rock is approximately 6,768.9 J

Explanation:

The question relates to the characteristic constant total mechanical energy of a body

The mass of the rock that falls, m = 30.0 kg

The height of the cliff from which the rock falls, h₁ = 35.0 m

The required information = The kinetic and potential energy when the rock has falling 12.0 m

The kinetic energy is given by the formula, K.E. = 1/2×m×v²

The potential energy is given by the formula, P.E. = m·g·h

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

The velocity of the rock after falling through a given height, h is given by the formula, v² = 2·g·Δh

The total mechanical energy of the rock, M.E. = K.E. + P.E. = Constant

At the height of the cliff before falling, Δh =0, therefore v₁ = 0, therefore, K.E. = 1/2×m×v₁² = 0 J

The potential energy at the cliff before the rock begins to fall, P.E. is goven as follows;

P.E. = 30.0 kg × 35.0 m × 9.81 m/s² = 10,300.5 J

At the top of the cliff, M.E. = K.E. + P.E. = 0 J+ 10,300.5 J = 10,300.5 J

∴ M.E. = 10,300.5 J

When the rock has fallen, 12.0 m, Δh = 12.0 m, the speed of the rock, v₂, is given as follows;

v₂² = 2 × 9.81 m/s² × 12.0 m = 235.44 m²/s²

v₂ = √(235.44 m²/s²) ≈ 15.344 m/s

∴ When the rock has fallen 12.0 m, K.E., is given as follows;

K.E. = 1/2×m×v₂²

K.E. = 1/2 × 30.0 kg × 235.44 m²/s² = 3,531.6 J

When the rock has fallen 12.0 m the kinetic energy, K.E. = 3,531.6 J

When the rock has fallen 12.0 m, M.E. = P.E. + K.E.

M.E. = Constant = 10,300.5 J

K.E. = 3,531.6 J

∴ 10,300.5 J = P.E. + 3,531.6 J

P.E. = 10,300.5 J - 3,531.6 J = 6,768.9 J

∴ When the rock has fallen 12.0 m, the potential energy, P.E. = 6,768.9 J.


Related Questions

The speed of S-waves is what percent of that of P-Waves?






Help plz

Answers

Answer:

For the distance range 50 to 500 km, the S-waves travel about 3.45 km/s and the P-waves around 8 km/s.

hope it helps.

5) Apply according to the Law of Universal Gravitation, is there a stronger gravitational force between you and Earth or an elephant and Earth? Why?

Answers

Answer:

Elephant and the eath because Fg is determined by Mass of an object.. So elephant has greater mass therefore, it's Fg is higher

According the universal  law of gravitation, the gravitational force is directly proportional to the mass of an object.  An elephant weighs so much than a man and thus it will experience larger gravitational force from earth.

What is gravitational force?

Gravitational force is a resistive force by which an object attracts other objects towards its centre of mass. The force exerted by the object depends on the mass and the force experienced by the other object depends on its mass and distance between the two objects.

According to universal law of gravitation, the gravitational force is directly proportional to the mass of the object and distance from the ground. The expression for the law is written as:

[tex]\rm g = G \frac{M_{1} M_{2}}{r^{2}}[/tex]

Where, G is the universal gravitational constant and M1 and M2 be the masses of two objects which and r be the distance between them. As per this relation gravity decreases with increase in distance and increase with an increase in mass.

Therefore, a massive body such as an elephant will experience greater gravitational force from the earth.

To find more on gravitation, refer here:

https://brainly.com/question/3009841

#SPJ5

What and where is the asteroid belt?

Please ANSWER THIS

Answers

Answer:

The asteroid belt is a region of our solar system, between the orbits of Mars and Jupiter, in which many small bodies orbit our sun.

Explanation:

Hope this helps!

Answer:

The asteroid belt (sometimes referred to as the main asteroid belt) orbits between Mars and Jupiter. It consists of asteroids and minor planets forming a disk around the sun. It also serves as a sort of dividing line between the inner rocky planets and outer gas giants.

Explanation:

Hope this helps! :)

Where electrons are held or stored​

Answers

Answer:

Held

~Hope it Helps!~

An Athelice complete :Round of a circular track of diameter 200m in base Distance travelled by athletes And displacement

Answers

Answer:

Distance = 1256 m

Displacement = 0

Explanation:

Distance :

Distance may be defined as the actual length between two points along its path.

It is a scalar quantity and its value can be positive or zero.

Displacement :

Displacement is defined as the shortest length between two point , i.e. between the initial point and the final point.

It is a vector quantity and it has values which can be either positive or negative or zero.

From the question, the diameter of the circular track is, r = 200 m

∴ Distance travelled by an athlete is = circumference of the circular track

                                                            = 2πr

                                                            = 2 x 3.14 x 200

                                                            = 1256 m

 Displacement = 0  (since the original point coincides with the final point).

PLEASE HELP ASAPPPP!!!!!


Katrina replaced the batteries in her camera with rechargeable ones. Later as she was recharging the batteries, Katrina told her mother “I am creating energy so that I can use these batteries again!” What was Katrina actually doing?

removing energy
destroying energy
transforming energy
repairing energy

Answers

She was actually removing energy

38. How would you dilute a concentrated solution...

Answers

Answer:

Water

Explanation:

A dilution is a solution made by adding more solvent to a more concentrated solution (stock solution), which reduces the concentration of the solute. An example of a dilute solution is tap water, which is mostly water (solvent), with a small amount of dissolved minerals and gasses (solutes).

~Hope this helps

Uranium-238 undergoes alpha decay. In addition to the alpha particle, which isotope forms?

Answers

Answer: B - 234/90 TH

Explanation: A P 3 X

Answer: B - 234/90 TH

Explanation:

When does the edge of the water advance farther inland- when the ocean's floor is a gradual slope or steep slope?

Answers

Answer:

The correct answer is when the slope is steep.

Explanation:

The advancement of water inland is dependent on the rate at which water wears off the continental shelf and the coastal plain. The higher the amount of rainfall, and the harshness of the dry spells, the faster the rate of erosion that occurs at the coastal plain.

As the erosion increases, the coastal plain becomes steeper. The steeper the plain, the water flowing erodes the coastal plain at a faster rate. Hence the water advances farther inland faster than where the slope is gentle or gradual.

Cheers

answer this question for brainlest and 20 points

Answers

I think is 3.5 pretty sure

PLEASE I NEED HELP

Best answer gets BRAINLIEST


A 3.23kg book falls off the top of a 3.01 m bookshelf. What is its kinetic energy right before it hits the ground? ( g= −9.81m/s2 )

Show work please

Answers

Answer:

K= 95.4 J

Explanation:

For this exercise we must use the conservation of mechanical energy.

We set a reference system on the floor.

Starting point. Higher

          Em₀ = U = m g h

Final point. Just before taking the floor

           Em_f = K = ½ m v²

energy is conserved because there is no friction

         Em₀ = Em_f

         mg h = K

         

The height is

        h = y -y₀

                 h = 0- y₀

let's calculate

       K =  3.23 (-9.81)  (-3.01)          

       K= 95.4 J

A day on a distant planet observed orbiting a nearby star is 21.5 hr. Also, a year on the planet lasts 69.3 Earth days. In other words, for the purposes of unit conversion, there are 24 hr in a day, 60 min in an hour, and 60 s in a minute, as it would for astronomers on Earth observing the planet. Calculate the average angular speed of the planet about its own axis of rotation in radians per second, with the second as measured on Earth. what is the speed of rotation? Calculate the average angular speed of the planet as it travels around its neighboring star, with the second as measured on Earth. what is the speed of orbit?

Answers

Answer:

Part A

The angular speed of rotation of the plane is 8.11781 × 10⁻⁵ rad/s

Part B

The angular speed of orbit of the planet is 1.04938 × 10⁻⁶ rad/s

Explanation:

The parameters of the planet are;

The duration of a day on the distant planet = 21.5 hr.

The duration of a year on the distant planet = 69.3 Earth days

Part A

The duration of a day = The time to make one complete revolution of 2·π radians

∴ The average angular speed about its axis, [tex]\omega_{rotation}[/tex] = Angle turned/Time

∴ [tex]\omega_{rotation}[/tex]  = 2·π/(21.5 × 60 × 60) s ≈ 8.11781 × 10⁻⁵ rad/s

The average angular speed of the planet about its own axis, [tex]\omega_{rotation}[/tex]  = 8.11781 × 10⁻⁵ rad/s

The angular speed of rotation of the plane [tex]\omega_{rotation}[/tex]  = 8.11781 × 10⁻⁵ rad/s

Part B

The time it takes the planet to revolve round the neighboring star once = 69.3 Earth days

Therefore, the average angular speed of the planet around its neighboring star, [tex]\omega _{Star}[/tex], is given as follows;

[tex]\omega _{Orbit}[/tex]  = 2·π/((69.3 × 24 × 60 × 60) s) = 1.04938 × 10⁻⁶ rad/s

The average angular speed of orbit, [tex]\omega _{Orbit}[/tex] = 1.04938 × 10⁻⁶ rad/s

The angular speed of orbit of the planet, [tex]\omega _{Orbit}[/tex] = 1.04938 × 10⁻⁶ rad/s.

3.- Un barco que tiene el motor averiado es ayudado por dos remolcadores para entrar en el puerto. Cada uno de ellos tira de él con una fuerza de 10000 N y ambas forman un ángulo de 60o. Calcula el módulo de la fuerza neta que actúa sobre el barco.

Answers

Answer:

F_total = 10000 N

Explanation:

For this exercise we use that the force is a vector and the best way to do the sum is that since the two tugs pull the boat with the same intensity and angle, the sum of the component of the force perpendicular to the movement becomes zero.

The components parallel to the movement of the tugs is

            ∑ F = 2 Fcos θ

let's calculate

           F_total = 2 10000 cos 60

           F_total = 10000 N

A car accelerates at a rate of 4.00 m/swest for 5.0 seconds. What is the car's change in
velocity?

Answers

Answer:

20 m/s

Explanation:

Acceleration = Change in velocity/ time

4 = Change in Velocity/ 5

Change in velocity = 20 m/s

!!!!URGENT!!!! Which of these does not change with the increase in pressure?

A- Changing the number of particles

B- Changing the volume

C- Change the temperature

D- Changing the states of matter.

Answers

Answer:

a the number of particles

Explanation:

the volume will decrease because the particles are closer

if the particles are closer they generate more heat and thus can change their state of matter

What is the time it takes an object that moves at 25 m/min to travel 505 meters?

Answers

Answer:

25 meters = 1 minute

505 meters = ? minutes

Therefore, 505/25

Therefore, 101/5

Therefore, 2.2 minutes

It moves 505 meters in 2.2min

Can anyone plz send me the solved questions this is Energy chapter ​

Answers

Answer:

34' jhm

Explanation:

In which stage do stars spend most of their lifetime?

Answers

Answer:

Stars become the main sequence as they move through a galaxy. During this stage, it will fuse hydrogen atoms and form helium molecules in its core for 90 percent of its life. We are currently in the main sequence of our sun's life cycle.

Explanation:

As a projectile travels down its trajectory path, it covers _____.

A. more distance each second
B. a distance that depends on how it was dropped
C. the same amount of distance each second
D. less distance each second

Answers

Answer:

it is C.

definitely C

Explanation:

if I am right.

plz help me out and give brainliest

A planet outside of our solar system

Answers

Answer:

exoplanets is any planet beyond our solar system.

PLZ hurry! Thank you
A blu-ray player that is not playing still uses 6 W of power. What is the current into the blu-ray player if it is plugged into a standard 120V outlet?

Answers

Answer:do it again

Explanation:

It will work

A 4 kg mass is moving at 8 m/s collides with a 2 kg mass moving at 5 m/s.
After the collision, both objects stick together, what is the velocity of the
two cars? *

Answers

Answer:

V = 7 m/s

Explanation:

Given that,

Mass 1, m₁ = 4 kg

Speed of the object 1, v₁ = 8 m/s

Mass 2, m₂ = 2 kg

Speed of object 2, v₂ = 5 m/s

After the collision, both objects stick together. Let V be the common velocity. Using the conservation of linear momentum to find it.

[tex]m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{m_1+m_2}\\\\V=\dfrac{4(8)+2(5)}{4+2}\\\\V=7\ m/s[/tex]

So, the velocity of two cars is 7 m/s.

how far will an automobile move if 168000 j of work is created by 2000 n of force

Answers

Answer:

Distance = 84 meters

Explanation:

Given the following data;

Work done = 168,000 Joules

Force = 2,000 Newton

To find the distance covered by the automobile, we would use the formula;

[tex] Workdone = force * distance [/tex]

Substituting into the formula, we have;

[tex] 168000 = 2000 * distance [/tex]

[tex] Distance = \frac {168000}{2000} [/tex]

Distance = 84 meters

What is
Magnetism ?

pls help

Answers

Answer:

A motion produced by electric charge which causes attractive and repulsive forces between objects.

A 6 kg object has a speed of 24 m/s. What is its kinetic energy?

Answers

Explanation:

K.E = 1/2mv²

K.E = 1/2 * 6 * 24²

K.E = 1728J

Answer:

K.E = 1/2mv²

K.E = 1/2 * 6 * 24²

K.E = 1728J

Explanation:

A charge of .006 C passes through a cross sectional area of a wire in 2 seconds. What is the current in the wire?

Answers

Answer:

0.003 A

Explanation:

Q = It

Q = charge = 0.006C

I = current = ?

t = time = 2 s

I = Q/t

I = 0.006 / 2

I = 0.003 A

What is the force between a 3 C charge and a 4 C charge separated by a distance of 2 meter

Answers

Answer:

[tex]fr = \frac{9 \times 10 {}^{9} \times 3 \times 4}{2 {}^{2} } \\ fr = 27 \times 10 {}^{9} n[/tex]

in each of the following divide the second number by the first number and find the quotient:3/4,-3/8​

Answers

Answer:

[tex]\dfrac{-1}{2}[/tex]

Explanation:

We need to divide the second number by the first number and the numbers are 3/4,-3/8​.

First number = 3/4

Second number = -3/8

Dividing the second number by the first number.

So,

[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}[/tex]

We know that,

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}=\dfrac{-3}{8}\times \dfrac{4}{3}\\\\=\dfrac{-1}{2}[/tex]

So, the answer is (-1/2)

A light ray bounces off a fish in your aquarium. It travels
through the water, into the glass side of the aquarium, and
then into air. As the light from the glass hits the air, the index of
refraction for air is much
than the index of refraction
for glass which causes the light to bend toward the angle that it
entered the air.

Answers

Answer:

Correct

Explanation:

Because the light can't travel as quickly in the water as it does in the air, the light bends around the pencil, causing it to look bent in the water. Basically, the light refraction gives the pencil a slight magnifying effect, which makes the angle appear bigger than it actually is, causing the pencil to look crooked.

Answer:

Because the light can't travel as quickly in the water as it does in the air, the light bends around the pencil, causing it to look bent in the water. Basically, the light refraction gives the pencil a slight magnifying effect, which makes the angle appear bigger than it actually is, causing the pencil to look crooked.

Explanation:

nilai x
Hitung
3^x2 x 3^5x
= 3^24​

Answers

Answer:

x = - 8 atau 3

Explanation:

3ˣ² × 3⁵ˣ = 3²⁴

Penarikan:

Mᵃ × Mᵇ = Mᵃ⁺ᵇ

3ˣ² × 3⁵ˣ = 3ˣ²⁺⁵ˣ

Karena itu

3ˣ² × 3⁵ˣ = 3²⁴

3ˣ²⁺⁵ˣ = 3²⁴

x² + 5x = 24

Mengatur kembali

x² + 5x - 24 = 0

Pemecahan dengan faktorisasi

x² - 3x + 8x - 24 = 0

x (x - 3) + 8 (x - 3) = 0

(x + 8) (x - 3) = 0

x + 8 = 0 atau x - 3 = 0

x = - 8 atau x = 3

Karena itu,

x = - 8 atau 3

Other Questions
A car rental company charges a $50 flat fee and an additional $20 per day. A second company alsocharges a flat fee plus an additional cost per day. This tables the cost to rent a car from the secondcar companyWhat is the absolute value of the difference, in dollars, between the flat fees the two companiescharge?Enter your response here:Days24Cost$130$160$175Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . ,and / are allowed in your answer.Answers that are mixed numbers must be entered as an improper fraction or a decimal.5 :p help............:: If you flip a coin 7 times what is the probability that you will get exactly 2 tails What evidence does Manjiro have to believe the men are barbarians? What evidence does he have to believe they are not barbarians? What is the Volume of a hexagonal pyramid shown if the hexagon has a side length of 4 inches and the height of the pyramid is 12 inches? below are two parallel lines with a third line intersecting them. x= ?? What type of figurative language is her quick eyes would glow with firelight fancies? If the given XYZ is rotated by 180 degrees around point X in a clockwise direction, what are the new coordinates of the Y and Z vertices? Select the two correct answers. who is first person on earth Name one attribute that all squares and rhombus always share. PLEASE HELP ASAP!! which claim most appropriately responds to the requirements of the prompt? anyone know the answer? Hey guys I am back from my weekend did you enjoy your weekend free point What does it mean when someone ask you to draw landscapes natively? Is the group of words in bold a phrase or a clause? Beta-carotene is typically found in fruit that has bright-colored flesh, yet cantaloupes, which are paler than oranges, contain ten times more beta-carotene. What is the roots of x+2=0 A ________________ uses chemical formulas to model what happens in a chemical reaction.Pick 1 of the followingmolecule compoundchemical equationchemical reactionnew chemical The second paragraph best provides information about the way in which states in the 19th century a attempted to consolidate their conquests by enrolling local populations into imperial service b used Enlightenment ideas to justify their attempts to convert conquered populations to Christianity c justified territorial expansion by claiming that they were bringing progress to conquered regions d facilitated cultural exchange between different religious groups to conquer neighboring states Which property (quality) of fossils allows scientists to determine the relative ages of rock layers?A.Fossils show change over time as species evolve.B.Fossils form from the remains of living organisms.C.Fossils are usually found only in sedimentary rock.D.Fossils can be analyzed to determine their exact age Given the following equations, determine the relationship of the lines they represent: y = 5 and x = 6 .