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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8.13 m/s

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Answers

Answer:

-6.25 m/s

Explanation:

i took the quiz

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:

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s = 0.5 × 9.8 × 4.8 m

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Finding the area of a trapezoid on a velocity versus time graph will tell you
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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.

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Answers

Answer: C. Light energy.

Explanation:

C. Light energy
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Answers

Answer:

The required velocity of runner is 4m/s.

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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.

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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.

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Answers

Answer:

The answer is 6000 N

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From the question we have

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We have the final answer as

6000 N

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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.

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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.

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Answers

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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.

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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

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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.

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This change in location is described as displacement.

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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 :)

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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

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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?

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Answer:

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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:

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

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:

change the following to celisus
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please its urgent i will give u brainliest

Answers

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

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

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Answers

Answer:

12m/s2

Explanation:

:D (just a smiley, not answer d)

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Answers

Answer:

Health relates to science because

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I hope I helped U ´꓃ ` U

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