A 56 kg diver runs and dives from the edge of a cliff into the water which is located 4.0 m below. If she is moving at 8.0 m/s the instant she leaves the cliff, determine the following.
Her gravitational potential energy relative to the water surface when she leaves the cliff
Her kinetic energy when she leaves the cliff
Her total mechanical energy relative to the water surface when she leaves the cliff
Her total mechanical energy relative to the water surface just before she enters the water.
The speed at which she enters the water.

Answers

Answer 1

Answer:

1) 2197.44 J

2) 0 J

3) 2197.44 J = Constant

4) 2197.44 J

5) Approximately 8.86 m/s

Explanation:

The given parameters are;

The mass of the diver, m = 56 kg

The height of the cliff, h = 4.0 m

The speed with which the diver is moving, vₓ = 8.0 m/s

The gravitational potential energy = Mass, m × Height of the cliff, h × Acceleration due to gravity, g

1) Her gravitational potential energy = 56 × 4.0 × 9.81 = 2197.44 J

2) The kinetic energy = 1/2·m·u²

Where;

u = Her initial velocity = 0 when she just leaves the cliff

Therefore;

Her kinetic energy when she just leaves the cliff = 1/2 × 56 × 0² = 0 J

3) The total mechanical energy = Kinetic energy + Potential energy

The total mechanical energy is constant

Her total mechanical energy relative to the water surface when she leaves the cliff = Her gravitational potential energy = 2197.44 J = Constant

4) Her total mechanical energy relative to the water surface just before she enters the water = 2197.44 J

5) The speed with which she enters the water, v, is given from, v² = u² + 2·g·h

Where;

u = The initial velocity at the top of the cliff before she jumps= 0 m/s

∴ v² = 0² + 2 × 9.81 × 4 = 78.48

v = √78.48 ≈ 8.86 m/s

The speed with which she enters the water, v ≈ 8.86 m/s

Answer 2

1) Her gravitational potential energy relative to the water surface when she leaves the cliff is; GPE(leaves cliff) = 2195.2 J

2) Her kinetic energy when she leaves the cliff is; KE = 0J

3) Her total mechanical energy relative to the water surface when she leaves the cliff is; ME_total = 2195.2 J

4) Her total mechanical energy relative to the water surface just before she enters the water is; ME_total = 2195.2 J

5) The speed at which she enters the water is; v = 8.85 m/s

We are given;

Mass of the diver; m = 56 kg

Height of the cliff; h = 4 m

Speed at which she is moving; vₓ = 8 m/s

1) Formula for gravitational potential energy is;

GPE = mgh

where;

m is mass

g is acceleration due to gravity

h is height

Thus;

GPE = 56 × 4 × 9.8

GPE(leaves cliff) = 2195.2 J

2) The formula for kinetic energy when she leaves the cliff is;

KE = ¹/₂mu²

Where;

m is mass

u = initial velocity = 0 m/s

Thus;

KE = ¹/₂ × 56 × 0²

KE(leaves cliff) = 0 J

3) The total mechanical energy relative to the water surface when she leaves the cliffis;

ME_total = GPE(leaves cliff) + KE(leaves cliff)

Thus;

ME_total = 2195.2 + 0

ME_total = 2195.2 J  

4) Her total mechanical energy relative to the water surface just before she enters the water is same as that when she leaves the cliff = 2195.2 J

5) The speed with which she enters the water, v, is gotten from newtons third equation of motion;

v² = u² + 2gh

Thus;

v² = 0² + (2 × 9.8 × 4)

v² = 78.4

v = √78.4

v = 8.85 m/s

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Related Questions


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The displacement distance from my house to school never changes but the time it takes varies due to traffic and it's effects on my vehicle's speed and position in line at stop lights.

My commute to school is a constant distance, but the time it takes to get there fluctuates owing to traffic.

What is displacement?

If an object moves with respect to a reference frame, such as when a passenger travels to the back of an airliner or a professor moves to the right with respect to a whiteboard, the item's position changes.

This change in location is described as displacement.

My commute to school is a constant distance, but the time it takes to get there fluctuates owing to traffic,

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What is Latin word for "little lumps?"

Answers

Answer:

tura paulo

Explanation:

sry if im wrong ;)

A pumpkin is thrown horizontally off of a building at a speed of 2.5 m/s and travels a horizontal distance of 12 m before hitting the ground.
What was the initial height of the pumpkin?
What was the final vertical velocity of the pumpkin?

Answers

Answer:

-47.04

Explanation:

Divide 12 m by 2.5 m/s which equals 4.8s

And then use 4.8s to multiply it with -9.8

4.8(-9.8)= -47.04 m/s

Hope this helped!! :)

The initial height of the pumpkin is 23.52m and the final vertical velocity of the pumpkin is 47.04 m/s.

Laws of motion:

Initial horizontal speed, u = 2.5 m/s

horizontal distance covered , d = 12m

So the time taken is:

t = d/u

t = 12/2.5 s

t = 4.8s

Now, the initial vertical speed, v = 0

So the vertical distance traveled by the pumpkin will be equal to the initial height of the pumpkin:

s = vt + ¹/₂gt²

s = 0.5 × 9.8 × 4.8 m

s = 23.52m

Final vertical velocity:

v' = v + gt

v' = 9.8 × 4.8 m/s

v' = 47.04 m/s

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How does Health & Physical Education relate to any other subject you now study in
school?

Answers

Answer:

Health relates to science because

in science you study, research, and knowledge in this case, health science, which helps you under stand more about how humans and animals function. And Physical education relates to science because , you study the way of human movement, think of push-ups as a example.

I hope I helped U ´꓃ ` U

pls help me i’m begging u

Answers

Answer:

C

Explanation:

Balanced forces cancel each other out so they do not change the object's motion

What is the difference between physical & chemical changes?
Slate whether each is an example of a Physleat (P) or Chemteal (C) property
1. Arock's density
2. boiling point of Gatorade
3. ability of an old car to rust
4. red color of a pe apple
S ability of wood to ignite
8. bitler taste of a lemon
7. melting point of wax
8. hardness of marble
9. Luster (shininess) of gold

Answers

boiling point Gatoride

change the following to celisus
a.-400f b.800f
please its urgent i will give u brainliest

Answers

-400f = -240c, 800f = 426 2/3 C

1.A runner has a displacement of 20 meters in 5 seconds, what is his velocity
during this time?

Answers

Answer:

The required velocity of runner is 4m/s.

HELPP!! Does anybody have the answer key to Lab Report: Conservation of Linear Momentum for my online class for physics?? WILL GIVE 80points

Answers

Answer:

Try copy and pasting the intructions it into google, and it should pop up if it exists.

Hope this helps.

Explanation:

Answer:

Send me the download of the lab and I will complete it for you

Students in a science class were provided with this image and asked to identify which color of light would refract the most if white light was passed through a prism?which student below identified the correct color of light with the proper justification?

Answers

Violet would refract the most as it has the shortest wavelength amongst the visible spectrum.

The identification of the correct color of the light with the proper justification would be by student 4: violet, because it has the highest frequency, therefore the correct answer is option D.

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

As given in the problem, students in a science class were provided with this image and asked to identify which color of light would refract the most if white light was passed through a prism.

Student 4 would correctly identify and justify violet as the appropriate hue of the light since it has the greatest frequency, making option D the right response.

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a supersonic aircraft travels faster than the speed of sound. What might be the top speed of such an aircraft? 200 Kilometers per hour 500 Kilometers per hour O 1000 Kilometers per hour O 1500 Kilometers per hour​

Answers

‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎1500 kpm

What is the form of energy that our eyes can detect?
A. Sound Energy
B. Chemical Energy
C. Light Energy
D. Thermal Energy

Answers

Answer: C. Light energy.

Explanation:

C. Light energy
For example the lamp in your house, you can see it with your eyes

6. A total of 135 J of work is done on a gaseous refrigerant as it undergoes compression. If
the internal energy of the gas increases by 114 J during the process, what is the total amount
of energy transferred as heat? Has energy been added to or removed from the refrigerant as
heat?

Answers

Answer:

Eh = 21 [J]

Removed as heat.

Explanation:

This is a case of energy conservation, we have to take into account the energies that go in and out of the system. In this case, 135 [J] of energy are entered in the form of work of the compressor to the chamber where the refrigerant is compressed, now of these 135 [J] 114 [J] were used as internal energy, this internal energy is used to increase the pressure and temperature of the refrigerant.

In this way the rest of the energy of the 135 [J] was lost in the form of heat to determine this loss of energy, we simply perform the arithmetic subtraction.

Eh = 135 - 114 = 21 [J]

Eh = 21 [J]

What are gears and what is a lever ?​

Answers

Answer:

agear lever or agear stick is the lever that you use to change gear in acar or other vehicle

A runner is training and runs past meter mark 65 and starts a stopwatch. After the runner passes meter mark 15 the stopwatch stops at 8 seconds. What was the runners velocity?
Question 5 options:

-6.25 m/s

6.25 m/s

8.13 m/s

-1.88 m/s

Answers

Answer:

-6.25 m/s

Explanation:

i took the quiz

What is the Range of the projectile motion?

Answers

Answer:

Range of projectile, R

For projection above ground surface, the range of the angle of projection with respect to horizontal direction, θ, is 0° ≤ θ ≤ 90° and the corresponding range of 2θ is 0° ≤ 2θ ≤ 180°.S

hope you're looking for this.

The range of a projectile is how far it travels in the horizontal direction. If you know the horizontal speed you then multiply by the time in flight and you have the range. I hope this helps :)

with what force will the a car hit a tree if the car has a mass of 3,000 kg and a acceleration of 2m/s^2​

Answers

Answer:

The answer is 6000 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 3000 × 2

We have the final answer as

6000 N

Hope this helps you

A student hangs the south pole of a bar magnet near the north pole of
another hanging bar magnet. What do the magnets do?
A. They move away from each other.
B. They move away from each other, then toward each other.
C. They move toward each other.
O D. They do not move.

Answers

When the south pole of a bar magnet is near the north pole of another bar magnet, they move toward each other. Therefore, option (C) is correct.

What is a magnet?

A magnet can be described as a substance that creates a magnetic field and this magnetic field is the reason for the considerable properties of a magnet. The magnetic force pulls ferromagnetic materials, such as iron, cobalt, etc., and attracts or repels other magnetic substances.

A permanent magnet is composed of a material that is magnetized and produces its own magnetic field such material can be magnetized, and strongly attracted towards a magnet, is known as ferromagnetic, and contain the elements iron, and cobalt.

Each bar magnet possesses a set of North and South poles within them. The south pole of one magnet brings closer to the north pole of another magnet they attract each other and move toward each other.

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15 POINTS URGENT DUE IN 5 MINUTES :(

please don’t troll.


A. A woman hiked on a trail up a mountainShe slowed down as it became more steep. She stopped at the top to take in the view below. Then she continued on the trail and walked down the other side of the mountain.


B. A truck driver left a warehouse and drove on a highway at a constant speed before he stopped for lunch. To make up for lost time, he drove faster when he got back on the highway. He unloaded his haul and drove quickly back to the warehouse.

C. A woman drove her car up steep bill and stopped at a red lightWhen the light turned green she continued to drive up the rest of the hill until she reached the gas station. She stopped to buy gas and then drove down the other side of the hill towards her office.

D. A man ran in a race and accelerated steadily for the first hour. He then continued briefly at a constant pace while he had the lead. When other runners began to catch up he accelerated againHe then continued at a constant high speed. He became overtired and slowed down until he had to completely stop running.


Answers

Answer:

D now go to ur good life :)

Explanation:

Answer:

blah

Explanation:

blah

What, exactly, is moving across the medium?

Answers

Answer:

So waves are everywhere. But what makes a wave a wave? What characteristics, properties, or behaviors are shared by the phenomena that we typically characterize as being a wave? How can waves be described in a manner that allows us to understand their basic nature and qualities?

A wave can be described as a disturbance that travels through a medium from one location to another location. Consider a slinky wave as an example of a wave. When the slinky is stretched from end to end and is held at rest, it assumes a natural position known as the equilibrium or rest position. The coils of the slinky naturally assume this position, spaced equally far apart. To introduce a wave into the slinky, the first particle is displaced or moved from its equilibrium or rest position. The particle might be moved upwards or downwards, forwards or backwards; but once moved, it is returned to its original equilibrium or rest position. The act of moving the first coil of the slinky in a given direction and then returning it to its equilibrium position creates a disturbance in the slinky. We can then observe this disturbance moving through the slinky from one end to the other. If the first coil of the slinky is given a single back-and-forth vibration, then we call the observed motion of the disturbance through the slinky a slinky pulse. A pulse is a single disturbance moving through a medium from one location to another location. However, if the first coil of the slinky is continuously and periodically vibrated in a back-and-forth manner, we would observe a repeating disturbance moving within the slinky that endures over some prolonged period of time. The repeating and periodic disturbance that moves through a medium from one location to another is referred to as a wave.

Hope That Helps!!

Explanation:

what do electrons move from

Answers

Answer:

Negatively charged, to positively charged parts

Explanation:

Electrons are negative, negative is attracted to positive.

A baseball bat is a lever. Which of the following explains how a baseball bat differs from a lever like a pry bar?

Answers

Complete question is;

A baseball bat is a lever. Which of the following explains how a baseball bat differs from a lever like a pry bar?

A) In a baseball bat, effort force is smaller and is applied over a large distance, while the resistance force is smaller and is applied over a long distance.

B) In a baseball bat, effort force is smaller and is applied over a large distance, while the resistance force is smaller and is applied over a short distance.

C) In a baseball bat, effort force is larger and is applied over a short distance, while the resistance force is smaller and is applied over a long distance.

D) In a baseball bat, effort force is larger and is applied over a short distance, while the resistance force is smaller and is applied over a short distance.

Answer:

C) In a baseball bat, effort force is larger and is applied over a short distance, while the resistance force is smaller and is applied over a long distance.

Explanation:

The correct answer is option C. This is because unlike in a pry bar, the effort force when swinging a baseball bat is larger and it is applied over a short distance; and in return the resisting force is smaller and it's applied over a long distance.

A student tries to measure the period of a pendulum that is already swinging

left and right. At the moment when the pendulum is fully to the left, she

counts 'One' and starts a stopwatch. She counts successive swings each time

that the pendulum returns to the left. When she counts ‘Ten' she stops the

stopwatch, and sees that it reads 12.0 s.

a. What was her mistake?

______________________________________________________________

b. What is the period of swing of this pendulum?

______________________________________________________________

c. In this particular experiment, explain the likely effect of her reaction time

on her answer.

Answers

Answer:

a. The student's mistake was that the student did not swing the pendulum and start the watch at the same time.

b. 1.2 s per swing.

c. The likely effect of her reaction time is that they will should subtract two seconds off the time.

Explanation:

The pupil made the error of not simultaneously starting the watch and swinging the pendulum.

What is pendulum?

Pendulum is defined as a body that is suspended from a fixed point and moves back and forth while being pulled by gravity. The pendulum is used to gauge the gravitational pull because the force of gravity causes it to swing back toward its average position. A pendulum's time period can be used to tell the time because it is constant.

The swing of the pendulum is 1.2 sec. per swing. They should take two seconds off the timing due to her presumably slow reaction time. A pendulum's total time should be divided by the quantity of oscillations in order to determine its time period. When compared to a pendulum with a shorter string, the one back and forth cycle of a longer-stringed pendulum requires more time to complete.

Thus, the pupil made the error of not simultaneously starting the watch and swinging the pendulum.

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What does it mean for objects to be at different temperatures?

Answers

The temperature of an object is dependant on its heat capacity and the rate at which heat can be removed from its surface. Heat conduction depends on the structure and capability of the atoms to move within the material and pass on their energy to other atoms. Some materials are better conductors then others that is why two objects can be in the same room but feel two different temperatures. It is also true if two object are at different temperatures and are in contact with one another they will reach the same temperature.

Finding the area of a trapezoid on a velocity versus time graph will tell you
the ——————
of an object.
A. displacement
B. acceleration
C. velocity
D. distance

Answers

the answer is c. velocity

A subway car moves at a constant speed of 10 m/s over a period of 10 s. What is the instantaneous speed halfway through this motion​

Answers

Answer:  10 m/s

We're told the speed is constant, so it's not changing throughout the time period given to us. So throughout the entire interval, the speed is 10 m/s.

Which object might have the pattern of magnetic domains shown in the
image?
114 114
114 114
11 11
A. Cotton fabric near a magnet
O B. A piece of iron, not near a magnet
O C. A piece of iron near a magnet
D. Cotton fabric, not near a magnet

Answers

Answer: a piece of iron near a magnet

Explanation:

A car speeds up from 0.00 m/s to 60.0
m/s in 8.53 s.
The acceleration of the car is:
A. 512 m/s2
B. 8.53 m/s2
C. 68.5 m/s2
D. 7.03 m/s2

Answers

D. 7.03 m/s^2

Acceleration is equal to the change in velocity divided by the elapsed time:

a = 60.0/8.53 = 7.0339

A car accelerates from 20 m/s to 80 m/s in 5 seconds. What is the
average acceleration of the car?
a 20 m/s2
b 12 m/s2
C 4 m/
d 16 m/s2

Answers

Answer:

12m/s2

Explanation:

:D (just a smiley, not answer d)

I need help asappp!!! Help b trcrcrhhvvcc

Answers

Answer:

the answer is c. hope this help you out

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