You are at the edge of a diving board that is 9 meters above the water. If you weigh 500 Newtons, what is your potential energy?

Answers

Answer 1

Answer:

4500 J

Explanation:

First, let's define some equations and derivations.

Our potential energy formula is:

[tex]\displaystyle U = mgh[/tex]

Where m is mass (in kg), g is the gravitational constant (in m/s²), and h is height (in m).

We also know that mg is equal to the weight of an object (in N), from Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration).

Therefore, we can simply substitute force into the equation:

[tex]\displaystyle U = Fh[/tex]

Where F is the force (in N) and h is still height (in m).

Now we can calculate the amount of potential energy in our system, measured in joules.

Substitute in the given variables, F = 500 N and h = 9 m:

[tex]\displaystyle U = (500 \ N)(9 \ m)[/tex]

Using simple Pre-Algebra rules, we find that:

[tex]\displaystyle U = 4500 \ J[/tex]

This tells us that the we have 4500 joules of potential energy when I am 9 meters above the water on the edge of the diving board.

Answer 2

Answer:

4500 J

Explanation:

First, let's define some equations and derivations.

Our potential energy formula is:

Where m is mass (in kg), g is the gravitational constant (in m/s²), and h is height (in m).

We also know that mg is equal to the weight of an object (in N), from Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration).

Therefore, we can simply substitute force into the equation:

Where F is the force (in N) and h is still height (in m).

Now we can calculate the amount of potential energy in our system, measured in joules.

Substitute in the given variables, F = 500 N and h = 9 m:

Using simple Pre-Algebra rules, we find that:

This tells us that the we have 4500 joules of potential energy when I am 9 meters above the water on the edge of the diving board.


Related Questions

What is the length of AC?

Answers

D: 16 AB is half of AC and since you’re given AB=8 to get the full length you just multiply it by 2

..
David rides his bike with a
constant speed of 10 km/h.
How far can he travel in 1 1/2
hours?
T

Answers

im not sure i wanna say 2 miles

PLEASE HELP While the Earth is revolving around the sun, less direct sunlight is reaching the Northern Hemisphere than the Southern Hemisphere. What season is it in the Northern Hemisphere?(1 point)

winter

autumn

spring

summer

Answers

Answer:

Winter

Explanation:

Earth Rotates about an axis

A ball hangs on a string. The force of tension (Ft) in the string is 15n. The force due to gravity (Fg) pulls the ball down with a force of 15 N. Show your work.

Answers

Answer: 0N

Explanation: 15N-15N =0N

they are a balanced force,meaning they canceled each other out.

Two objects have a force of gravity of 100 N. If the distance between both objects decreases by a factor of 7, while the masses both decrease by a factor of 8. What is the new Fg?

Answers

The gravitational force F between two masses M and m a distance r apart is

F = G M m / r ²

Decrease the distance by a factor of 7 by replacing r with r / 7, and decrease both masses by a factor of 8 by replacing M and m with M / 8 and m / 8, respectively. Then the new force F* is

F* = G (M / 8) (m / 8) / (r / 7)²

F* = (1/64 × G M m) / (1/49 × r ²)

F* = 49/64 × G M m / r ²

In other words, the new force is scaled down by a factor of 49/64 ≈ 0.7656, so the new force has magnitude approx. 76.56 N.

2. Calculate the kinetic energy of a football being launched downfield by Patrick Mahomes. The football has a mass of .5 kg and is thrown at a velocity of 25 m/s. Find the kinetic energy.​

Answers

Answer:

K.E = 156.25 Joules.

Explanation:

Given the following data;

Mass = 0.5kg

Velocity = 25 m/s

To find the kinetic energy;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the equation, we have;

[tex] K.E = \frac{1}{2}0.5*25^{2}[/tex]

[tex] K.E = 0.25 * 625 [/tex]

K.E = 156.25 Joules.

2. The car slows down from 36 m/s to 15 m/s over a 3.0 second time interval. What is its average acceleration?

Answers

Answer:

9 meter per second square

Explanation:

acceleration equation is final minus initial velocity divided by time in seconds.

36-15/3=9 meter per second square.

Answer:

wendys

Explanation:nutz go in yo mouth

The water hyacinth was a major weed in Australian
and overseas' waterways until biological control
was used. Looking at the photo below, what
impact would this weed have on biodiversity in the
waterways it infests?

Whoever answers i will give branliest

Answers

Water hyacinth can fully cover lakes and wetlands, displacing native aquatic species, reducing fish oxygen levels, and providing optimal habitat for disease-carrying mosquitoes. Water hyacinth infestations can obstruct river transportation, fishing, damage bridges, and clog dams.

HELPPP PLS BESTIES A pattern of stars that has been named is called a constellation. One winter evening, Jason found the star called Sirius in the constellation called Canis Major.
If Jason came outside again a few hours later, what would the stars in Canis Major look like?
A. The pattern would be smaller because the stars moved closer together.
B. The pattern would change because each star would have moved in a different direction.
C. The pattern of stars would appear to be in the same place in the sky.
D. The pattern of stars would appear to have moved together across the sky.

Answers

Answer:

D) Since the stars would move from East to West just as the Sun and Moon do.

A lift moves up and down with an acceleration of 3 metre per second square .in each case calculate the relation of the floor on each man of mass 50 kg standing on a lift.​

Answers

Answer:

[tex]150\ N[/tex]

Explanation:

[tex]We\ are\ given:\\Acceleration\ of\ the\ elevator= 3\ m/s^2\\Assumed\ mass\ of\ the\ man\ standing\ on\ it=50\ kg\\We\ know\ that,\\Force=Mass*Acceleration\\Or,\\F=ma\\Hence,\\Substituting\ m=50, a=3\ m/s^2,\\Force\ acting\ on\ the\ floor\ of\ the\ elevator=3*50=150\ Newtons[/tex]

Which chemical formula represents the composition of a mineral that usually exhibits fracture, not cleavage?
Mg3Si4010(OH)2

NaCi

CaCo3

(Fe,Mg)2Si04

Answers

Answer:

(Fe,Mg)2SiO4

Explanation:

Trust

The chemical formula that represents a mineral which exhibits fracture is

( D) : ( Fe, Mg )2SiO₄

Minerals that exhibit fracture break across its curved surfaces due to the absence of weak points along the minerals. Such breaks occur irregularly and produce irregular shapes.  

Fractures occur in fine-grained minerals and also some crystalline minerals. and from the options the chemical formula that represents a mineral which exhibits fracture is ( Fe, Mg )2SiO₄.

Hence we can conclude that The chemical formula that represents a mineral which exhibits fracture is ( Fe, Mg )2SiO₄

Learn more : https://brainly.com/question/25111274

explain in details the concept of economic geography​

Answers

Answer:

In the words of Hartshorn and Alexander: “Economic Geography is the study of the spatial variation on the earth’s surface of activities related to producing, exchanging and consuming goods and services. Whenever possible the goal is to develop generalizations and theories to account for these spatial variations.”

Explanation:

Which is an example of a non-contact force?
A. A woman pulls open a door.
B. A magnet pulls an item toward it.
C. A student pushes his chair in at his desk.
D. A rolling ball slows down from friction

! Will give brainliest if you help !

Answers

Answer:

B - magnet pulls an item toward it.

Explanation:

It's the answer trust bro

Answer:

B.

Explanation:

Because your not physically touching the item getting pulled towards the magnet. hope this helps

In the image below, a worker is pushing a crate with a mass of 25 kg up a ramp at a constant rate. Ignoring friction, how much force must the worker apply so that the crate continues to move at the same speed? (Recall that g =
9.8 m/s2)

A. 35.3N
B. 83.8N
C. 50.2N
D. 16.2N

Answers

The image is missing, so i have attached it.

Answer:

B. 83.8N

Explanation:

The mass of the worker is 25 kg

From the image, the angle of the ramp is 20°

To find the force that the worker must apply to make the crate continue to move at the same speed, we will use the formula;

F = mg sin θ

F = 25 × 9.8 × sin 20

F ≈ 83.8 N

A constant current source supplies a electric current of 200 mA to a load of 2kΩ. When the load changed to 50Ω, the load current will be

8A
9mA
700mA
12A​

Answers

Answer:

700ma

Explanation:

all u do is have to add them up.

Ohm's law allows us to calculate the result for the value of the current when we change the resistance of the circuit:

The current is: i = 8 A

Ohm's law establishes that voltage is proportional to current and we call the constant of proportionality resistance in a circuit.

           V = i R

Where V is the voltage, i the current and R the resistance of the circuit.

They indicate that the source supplies a current of i = 200 mA = 0.200 A at a load of R = 2 kΩ = 2 10³ Ω

Let's find the source voltage.

           V = 0.200 2 10³

           v = 400 V

Now with this voltage let's find the current for the new load of R = 50 Ω

          i = V / R

          i = 400/50

          i = 8 A

In conclusion using Ohm's law we can calculate the result for the value of the current when we change the resistance of the circuit is:

The current is: i = 8 A

               

Learn more here: brainly.com/question/12865879

A skydiver has jumped out of an aircraft but has not yet opened her
parachute.
Which of these statements best describes what is happening?

1. She is pushed towards the Earth by the force of gravity.

2.She is pulled towards the Earth by the force of gravity.

3.She is pulled towards the Earth by air resistance.

4. She is pushed towards the Earth by air resistance.​

Answers

Answer:

She is pulled towards the Earth by the force of gravity.

Explanation:

As a skydiver jumps, gravity pulls them towards the earth, accelerating their fall. At the same time, air resistance is pushing back on them and increases at higher speeds. ... At this point, they will have reached terminal velocity and will fall at a constant speed, no longer accelerating.

The statement (2) She is pulled towards the Earth by the force of gravity is correct.

What is gravitational force?

The gravitational force is a force that attracts all mass-bearing objects. The gravitational force is referred to as attractive because it always strives to pull masses together rather than pushing them apart.

A skydiver has jumped out of an aircraft but has not yet opened her parachute.

As we know, the gravitational force is given by:

[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]

Where, G is the gravitational constant.

m1 and m2 are masses.

r is the distance between the masses.

The statement (2) She is pulled towards the Earth by the force of gravity best describes what is happening.

Because the force of gravity pulled the skydiver.

Thus, the statement (2) She is pulled towards the Earth by the force of gravity is correct.

Learn more about the gravitational force here:

brainly.com/question/12528243

#SPJ2

Timed plz hurry
Research indicates that individuals experiencing depression often experience anxiety disorders.
Please select the best answer from the choices provided
T/f?

Answers

Answer:

True

Explanation:

Research indicating that individuals experiencing depression often experience anxiety disorders is a true statement.

What is Depression?

This health disorder is characterized by loss of interest in activities as a result of depressed mood.

Individuals who have depression often experience anxiety disorders such as panic attacks etc.

Read more about Depression here https://brainly.com/question/441267

#SPJ2

A ball is thrown with an initial vertical velocity of 16 m/s and an initial horizontal velocity of 5 m/s. Calculate its vertical velocity at the peak of its path.

Answers

Answer: What are the options to the quest

ions

Explanation:

Most individuals over 65 years of age

Answers

Suffer from arthritis
Most people over 65 lead active independent lives. My mother is 88 years old & she drives & is perfectly able to take care of herself except for always wanting someone to help her with her iPad or computer. If that were a choice, I would pick that!

am soo confused what is conclusions in physics

Answers

Conclusion summarizes the results that either support or contradict your original hypothesis.

Two charges and are separated by 10cm on the x- axis. Q2 is at the origin and Q1 is 12cm to the right.
a. What is the net Electric Force (magnitude and direction) on Q2 due to Q1?
b. Calculate the magnitude and direction of the net electric field -2.0 cm to the left of Q2.

Answers

Answer:

Explanation:

Q₂ is at the origin and Q₁ is at 12 cm on x -axis

Force between Q₁ and Q₂

= K x Q₁ x Q₂ / .12 where k is a constant equal to 9x 10⁹

Force F = 9 x 10⁹ x Q₁ x Q₂ / .12²

= 625 x 10⁹ x Q₁Q₂ N

This is the force each one exerts on other . So electric force on Q₂ due to Q₁ is 625 x 10⁹ x Q₁Q₂ N . Its direction is towards left as both will repel each other.

b)

Electric field due to charge Q₂ at - 2 cm

= 9 x 10⁹ x Q₂ / .02²

= 22500 x 10⁹ x Q₂ N/C , towards left .

Electric field due to charge Q₁ at - 2 cm

= 9 x 10⁹ x Q₁ / .14²

= 459.18 x 10⁹ x Q₁  N/C , towards left

As both the fields are to the same direction

Net field = 75 x 10⁹ x Q₂ + 459.18 x 10⁹ x Q₁

10⁹ ( 22500 x Q₂ + 459.18  x Q₁ ) N/C .

Direction will be towards left.

MG
Examine the graphs below.
Ta seconds)
B
Time in seconds
D
Time in seconds)
Time in seconds)
Which of the graphs shows that one of runners started 10 yards further ahead of the
other? Explain your answer.

Answers

Answer:

Where are the graphs

Explanation:

PLEASE HELP!!!!! ILL GIVE BRAINIEST IF ANSWER IS CORRECT!!!!
An electron is pushed eastwards with a force of 1.64 x 10-21 N when placed in an electric
field. Determine the
(a) magnitude and
(b) direction of the electric field.

Answers

Answer: 1.02 x 10^-2 N/C to the east

Explanation:

Hi,

To find the magnitude of the electric field in this problem, you simply have to use the formula F = qE

F = Force

q = charge of the particle

E = magnitude of the electric field

Here, we are told that a force is being acted on an electron and we aren't told any specific quantity of charge for the electron. Therefore, we can assume that the charge of the electron will be its conventional charge of 1.602 x 10^-19 C

We are also given the force which is 1.64 x 10^-21 N

We solve for E

E = F/q

We plug in

E = (1.64 x 10^-21 N)/(1.602 x 10^-19 C)

E = 1.02 x 10^-2 N/C

The direction will be the east because the angle didn't change.

Three vectors A,B and C are such that A=B+C and their magnitudes are 5,4 and 3 respectively.find the angle between A and C​

Answers

Answer:

B = A - C

=> B² = A² + C² - 2AC.cos(A,C)

=>

[tex]cos(a.c) = \frac{a {}^{2} + c {}^{2} - b {}^{2} }{2ac} = \frac{5 {}^{2} +3 {}^{2} - 4 {}^{2} }{2.5.3} = \frac{3}{5} [/tex]

=> angle between A and C = 53.13⁰

Planet RMM-1 has a mass of 28,500 kg and the star it revolves around has
a mass of 2.20 x 10^8 kg. If the star emits a gravitational force of 39 N how
far away are the two objects from each other?

Answers

Gravitational force = G · (mass₁) · (mass₂) / (distance)

(distance²) = G · (mass₁) · (mass₂) / (Gravitational force)

G = 6.67 x 10⁻¹¹ n-m² / kg²  (the "gravitational constant")

Distance²  = (6.67 x 10⁻¹¹ n-m² / kg²) (28,500 kg) (2.2 x 10⁸ kg) / (39 N)

Distance² = (6.67 · 28,500 · 2.2 x 10⁻³ N-m²) / (39N)

Distance²  =  (418.209 N-m²) / (39N)

Distance²  =  10.72 m²

Distance = 3.275 meters

An absurd scenario, but that's by golly what the math says with the numbers provided.  I guess it's a teeny tiny planet orbiting 3.275 meters outside a teeny tiny black hole.

Random question, if Tanjoro, Zenitsu, and other Demon Slayers can conjure elements with their swords, then can we do the same?
A) HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH
B) Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)
C) These physics don't match up...
D) Their freakin' anime characters... of course not..

Answers

Answer:

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

Explanation:

-takes some random sword and tries to do water breathing- Nope, doesn't work q-q

Answer:

Explanation: BOTH A AND B

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

 Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)

1-Which is a true statement?
The nucleus is found in the center of atoms and contain protons and electrons
The nucleus is found in the center of atoms and contain protons and neutrons
Electrons have a neutral charge
Neutrons have a negative charge

2-What is the role of electrons within an atom?
Electrons are in the nucleus and have a negative charge
Electrons are in the nucleus and have a positive charge
Electrons are outside nucleus and have a negative charge
Electrons are outside nucleus and have a positive charge

Answers

Answer:

1 - The nucleus is found in the center of atoms and contains protons and neutrons.

2 - Electrons are outside (orbit) the nucleus and have a negative charge.

Explanation:

Protons are positively charged.

Neutrons are neutral.

Electrons are negatively charged.

I hope that helps!! ^-^

Which gravitational force field diagram is drawn correctly?

Answers

Answer:

I think it is B so sorry if it is wrong

Explanation:

Edit: its definitely B I looked it up to make sure

The Answer Is B.

I Just Did The Test. I Got IT Right :)

Explain why a tractor's big tyres stop it sinking too
far into soft soil.​

Answers

big tires

Explanation:

Answer: Tractors with big tyres have larger contact area on ground. Since the area is large, the pressure acting becomes small and it can roll on ground easily with out the danger of sinking in ground.

A stone is dropped from the top of a 45 m high building how fast will be moving when it reachs the ground and what is velocity be ?​

Answers

Hi there!

[tex]\large\boxed{\text{vf }\approx 29.70 m/s}[/tex]

Use the following kinematic equation to evaluate the final velocity:

vf² + vi² + 2ad, where:

vf = final velocity

vi = initial velocity

a = acceleration (due to gravity in this situation, or 9.8 m/s²)

d = distance

Plug in the given values. Note that vi = 0 m/s since the object was dropped from rest:

vf² = 0 + 2(9.8)(45)

Simplify:

vf² = 882

Take the square root of both sides:

√vf² = √882

vf ≈ 29.70

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