help me with b and d please

A 65 kg diver stands still on a tower, 100 m above the water
(a) Calculate the gravitational potential energy of the diver, relative to the height of the water. Assume the gravitational field constant is 9.8 N/kg
(b) The diver reaches the surface of the water at a speed of 14 m/s. Calculate the diver's kinetic energy
(c) Compare your answers to (a) and (b). Explain your comparison using concepts learned in this course.
Assume there is no air resistance during the dive (d) Calculate the speed of the diver 5.0 m above the water.​

Answers

Answer 1

Following are the solution to the given points:

Given:

[tex]\to mass(m)= 65\ kg\\\\\to h=10.0 \ m\\\\\to g=9.8 \ \frac{m}{s^2}[/tex]

To find:

gravitational potential energy(GPE)=?

kinetic energy(KE)=?

concept=?

v=?

Solution:

For point a:

[tex]\to GPE= mgh[/tex]

             [tex]= 65 \times 10 \times 9.8\\\\ = 6370 \ J\\\\[/tex]

For point b:  

[tex]\to KE=\frac{1}{2} m v^2\\\\[/tex]

           [tex]=\frac{1}{2} \times 65 \times 14^2 \\\\=\frac{1}{2} \times 65 \times 14 \times 14 \\\\= 65 \times 14 \times 7 \\\\=6370\ J\\[/tex]

For point c:

As we've seen, there really is no force acting, and the mechanic KE: GPE is used. Because legitimate is conserved. Home energy loss means GPE must be equal to KE gain.

For point d:

A diver has risen 5 feet above the surface. As a result, according to the energy conservation law:

[tex]\to U_i + K_i= U_f + K_f\\\\ \to mg \times h + 0 = mg \times \frac{h}{2} + \frac{1}{2} m v^2\\\\ \to 9.8 \times 10 = 9.8 \times 5 + \frac{v^2}{2}\\\\\to 9.8 \times 10 - 9.8 \times 5 = \frac{v^2}{2}\\\\\to \frac{v^2}{2} =9.8( 10 - 5) \\\\\to v^2 =9.8( 10 - 5) \times 2 \\\\\to v^2 =9.8\times 5 \times 2 \\\\\to v^2 =98 \\\\\to v =98\ \frac{m}{s^2} \\\\[/tex]

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Related Questions

A canoe is designed to have very little drag when it moves along its length. Riley, mass 62 kg, sits in a 21 kg canoe in the middle of a lake. She dives into the water off the front of the canoe, along the axis of the canoe. She dives forward at 1.7 m/s relative to the boat.
1) Just after her leap, how fast is she moving relative to the water?
2) Just after her leap, how fast is the canoe moving relative to the water?

Answers

(1) Riley velocity relative to the water after she jumps is 1.7 m/s.

(2) The velocity of the canoe relative to the water is 5.02 m/s.

The given parameters;

mass of Riley, m₁ = 62 kgmass of canoe, m₂ = 21 kg velocity of the Riley after jumping, v₁ = 1.7 m/s

(1) Since the lake is still, her velocity relative to the water after she jumps is 1.7 m/s.

(2) Apply the principle of conservation of linear momentum;

m₁v₁  =  m₂v₂

62 x 1.7 = 21v₂

105.4 = 21v₂

[tex]v_2 = \frac{105.4}{21} \\\\v_2 = 5.02 \ m/s[/tex]

Thus, after her leap, the velocity of the canoe relative to the water is 5.02 m/s.

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how do sound waves behave as a solid

a. they travel faster in a solid than other mediums

b. they travel slower in a solid than other solids


c. they stop when they hit a solid

d.sound waves behave the same in any medium​

Answers

Answer:

A. They travel faster in a solid than other mediums

Explanation:

Sound waves travel faster in solids because the density of solids is higher than that of liquids which means that the particles are closer together and sound can be transmitted more easily.

please answer me!!! asappp​

Answers

Answer:

omg this is hard

Explanation:

Yes it is lol

A driver spotted a police car and he braked from a speed of 100 km/h to a speed of 80 km/h during a displacement of 88 m at a constant acceleration? What is that acceleration, and how much time is required for the given decrease in speed?​

Answers

Answer:

Explanation:

100 kph = 27.8 m/s

80 kph = 22.2 m/s

v² = u² + 2as

a = (v² - u²) / 2s

a = (22.2² - 27.8²) / (2(88))

a = -1.578282828...

a = -1.58 m/s²

t negative sign means the acceleration opposes the initial velocity.

t = Δv/a

t = (22.2 - 27.8) / -1.57828

t = 3.52 s

A 5.7 kg block slides along a horizontal surface toward a horizontally mounted spring with a spring constant of 150 N/m. At one instant, the block is 5.0 m from the end of the spring and has a speed of 12.0 m/s. If the surface is frictionless, what is the maximum compression of the spring

Answers

Hi there!

We can use the conservation of energy:

Ei = Ef

The initial energy involves kinetic energy while the final energy involves maximum elastic potential energy, so:

1/2mv² = 1/2kx²

We can cancel out the 1/2s for ease of solving:

mv² = kx²

Plug in given values to solve for x:

√(mv²/k) = x

√(5.7)(12²)/(150)) = x

x = 2.339 m

A rubber duck of volume 2,500cm3 floats in water with 20% of its volume submerged. You want to hold the duck under water so it is at rest and completely submerged. How much force do you have to apply? If you release the duck, what will be its acceleration at that instant?

Answers

The force applied to the submerged rubber duck is 4.9 N.

Density of the rubber duck

The density of the rubber duck is calculated as follows;

ρ = S.G x density of water

ρ = 0.2 x 1000 kg/m³

ρ = 200 kg/m³

Force applied to the duck

F = mg = (ρV)g

F = (200 x 0.0025) x 9.8

F = 4.9 N

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What is three famous people you know

Answers

Answer:

Martin Luther King Jr., Mark Zuckerburg, Jeff Bezos

Explanation:

First 3 people to come to my head.

Kim Kardiashin West Kanye West Stormy

Over the 10 second period, how far does Juan run?

Answers

Answer:

C. 10

Explanation:

On the graph you can see that at the 10 second mark it is at the 10 meters mark as well.

Help me with these questions pleaseeee!

Answers

a dependent variable is something that depends on something else!

go through the list and ask yourself whether or not it depends on something else..

does this make any sense?

A skier accelerates to a speed of 56 m/s over a distance of 151 m. Determine the acceleration (assume uniform) of the skier.

Show your work for acceleration.

Include Units

Answers

The acceleration of the skier over the distance traveled is 10.38 m/s²

The given parameters;

Initial velocity of the skier, u = 56 m/sDistance covered by the skier, s = 151 m

Acceleration is defined as the change in velocity per change in time of motion.

The magnitude of the acceleration of the skier is calculated as follows;

[tex]v^2 =u^2 - 2as\\\\[/tex]

where;

v is the final velocity at the end of 151 m = 0

[tex]0 = 56^2 -(2\times 151)a\\\\302a = 3136\\\\a = \frac{3136}{302} \\\\a = 10.38 \ m/s^2[/tex]

Thus, the acceleration of the skier over the distance traveled is 10.38 m/s²

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In the free-body diagram, what is the net force? (Hint-Trig.- SOH-CAH-TOA)

a. 35 N right

b. 28 N right

c. 75 N

Answers

I would say about 35 n right

Researchers believe _____ helps strengthen and enhance long-term memory formation.
A. hypnosis
B. sleep
C. dreaming
D. meditation

Answers

Researchers believe that sleep helps strengthen and enhance long-term memory function. Hence, option B is correct.

What is Meditation?

Meditation could be thought of as a series of practices that encourage enhanced awareness and focused attention. Meditation is a different way to change awareness that has been shown to have several benefits for psychological well-being.

To feel refreshed and alert when you get up, sleep is a crucial process that allows your body and mind to heal. The body needs adequate sleep to remain healthy and free of disease. Without enough sleep, the brain cannot work efficiently. This may affect your ability to concentrate, think clearly, and process memories.

That's the reason researchers believe that sleep help in enhancing longer memory function.

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Write down the units for the following physical quantities:
a. Velocity
b. Acceleration
c. Momentum
d. Force
e. Power
f. Energy
g. Pressure

Answers

Only one I know

Acceleration- KG

If a pool and a cup of water had the same temperature, which would have greater thermal energy?Why?

Answers

Despite being the same temperature, the swimming pool is a much larger thermal energy store than the beaker of water.

What is thermal energy?

Thermal energy is the energy contained within a system that controls its temperature. The flow of thermal energy is defined as heat.

Thermodynamics is a branch of physics that deals with how heat is transferred between different systems and how work is done in the process.

Thermal energy sources include natural gas, coal, and oil, as well as solar, heat pump electric, and geothermal heat.

A swimming pool and a beaker of water can both be the same temperature.

Despite being the same temperature, the swimming pool contains significantly more thermal energy than the beaker of water. A heated swimming pool's thermal store contains a lot of energy.

Thus, If a pool and a cup of water had the same temperature, then swimming pool has a much larger thermal energy.

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hi i think it 573 udaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

ummm I didn't understand the question

Question 1
A) Which sentence about galaxies provides evidence of universe expansion that supports the Big Bang Theory?(1 point)

Galaxies are moving away from each other.


Galaxies are in constant motion.


Galaxies are moving at different speeds and in different directions.


Galaxies are moving more slowly than they have in the past.


Question 2
A) Which provides evidence of universe expansion that supports the Big Bang Theory? Select the three correct answers.(2 points)

The temperature of the universe is increasing.


An enormous amount of weak background radiation has been detected in the universe.


The temperature of Cosmic Microwave Background radiation varies widely from one part of the universe to another.


Galaxies are moving away from each other.


The temperature of the universe is decreasing.


The universe is undergoing a cycle of contraction and expansion.


Question 3
A) Which is evidence of universe expansion that supports the Big Bang Theory?(1 point)

The temperature of the universe has cooled and warmed repeatedly over time.


The temperature of the universe has warmed over time.


The temperature of the universe is the same as it was at the time of the Big Bang.


The temperature of the universe has cooled over time.

Answers

The characteristics of the Big Bang allow you to find the correct answers for the different questions are:

1.  The galaxies are moving away from each other.

2.  There is a large amount of weak background radiation in the universe

The galaxies are moving away from each other The temperature of the universe is decreasing

3. The temperature of the universe has cooled over time

The Big Bang model says that initially the universe was born from a great initial explosion about 14 10⁹ years ago, with this idea several facts arise:

The galaxies after their formation must be in a constant expansion There must be an energy in the entire universe remaining from the big explosion As the energy is constant, the energy per unit volume must decrease, consequently the temperature of the universe must be decreasing.

Let's apply these ideas to the different questions, to find the correct answers.

1) What phrase about galaxies provides evidence of the expansion of the universe proposed by the Big Bang

the correct answer is:

The galaxies are moving away from each other.

As there is no friction, the initial forces create a speed in the galaxies, therefore they must move away from each other at this speed

2) What phrases give evidence of the expansion of the universe

the correct answer is:

There is a large amount of weak background radiation in the universe The galaxies are moving away from each other The temperature of the universe is decreasing

3) What evidence of expansion

  The temperature of the universe has cooled over time

In conclusion with the characteristics of the Big Bang we can find the correct answers for the different questions are:

    1.  The galaxies are moving away from each other.

    2.  There is a large amount of weak background radiation in the universe

The galaxies are moving away from each other The temperature of the universe is decreasing

   3. The temperature of the universe has cooled over time

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An apple falls from a tree and 2.5 seconds later hits the ground. How fast is the apple falling when it hits the ground? Neglect air resistance.
O 2.5
05
O 20
0 25

Answers

Answer:

9.8 m/s²

Explanation:

Since the ball rises for 2.5 s, the time to fall is 2.5 s. The acceleration is 9.8 m/s2 everywhere, even when the velocity is zero at the top of the path. Although the velocity is zero at the top, it is changing at the rate of 9.8 m/s² downward.

When you view the pendulum’s swing, it shows that at the very top of the swing KE = 0. What does that tell you about the pendulum’s motion at that point?

Answers

it tells you that it has a lot of force

Answer:

Since I couldn't find the other answers to the same question, I wrote the wrong answer to help ya'll get the sample response. So here's from Edge

Explanation:

Sample Response: If KE = 0, the pendulum is not moving. At the top of the swing, the pendulum must stop for a brief moment.

EMERGENCY! PLS HELP
An isotope of Cesium-137 has a half-life of 30 years. If 6 grams of Cesium-137 decays over a period of 90 years, how many grams of Cesium would remain? ​

Answers

Answer:

0.75 grams

Explanation:

Today we have 6 grams

In 30 years, 3 grams remain

In 60 years 1.5 grams remain

in 90 years 0.75 grams remain

mathematically It would look like this

m = 6(0.5⁽ⁿ/³⁰⁾) where n is number of years

on earth what is the weight of a large screen tv thas has amass of 75 kg

Answers

Answer:

Explanation:

F = mg

F = 75(9.8)

F = 735 N

Hollywood studios get in trouble for a lack of diversity in their casting decisions. In order to remedy that, they create a computational model to find promising new actors. The computational model compares prospective actors to famous ones and chooses prospective actors that are the most similar to famous ones. What is a true statement about this computational model?
1. It will be effective and efficient at eliminating bias from casting decisions because computers are more objective than people.
2. Though it will choose from the applicants quicker than humans could, it will repeat the biases of the original casting decisions.
3. It is not a good idea to use computational models in the casting process as computers often deviate from the equations they're given. 4. While it would help eliminate bias from casting decisions, it is inefficient because it would be quicker for humans to choose the applicants.​

Answers

Hollywood studios get in trouble for a lack of diversity in their casting decisions. The true statement about this computational model is that it will be effective and efficient at eliminating bais from casting.

Option 1 is correct.

The lack of diversity in Hollywood studios casting decisions results in the inability to select and choose the right actors for a specified role play.

The use of a computational model makes use of a computer program that studies and compares the prospective actors to famous ones and chooses prospective actors that are most similar to famous ones.

This is the best result to can be achieved and derived in making decisions in the diversity of casting because the computational model provides actors that are most effective and efficient thereby elimination the bias from casting decisions. This model is objective and it's not based on emotional decisions, unlike people.

Learn more about computational models here;

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A 20-ohm resistor is connected to a 10 V battery. The 20-ohm resistor is replaced with a smaller resistor. What happens to the voltage across the resistor?

Answers

Explanation:

It is given that,

Resistance, R = 20 ohms

Voltage of the battery, V = 10 V

We can find current flowing through the circuit using Ohm's law as follows :

V = IR

\begin{gathered}I=\dfrac{V}{R}\\\\I=\dfrac{10}{20}\\\\I=0.5\ A\end{gathered}I=RVI=2010I=0.5 A

It can be seen from the Ohm's law, that the current is directly proportional to the voltage. It means that if the battery is replaced by a battery that provides a larger voltage, the current through the circuit will be more than 0.5 A i.e. it increases

Write the number below in scientific notation, 35,600 O A. 3.56 x 103 O B. 3.56 x 103 O C. 3.56 x 104 O D. 3.56 x 105​

Answers

C. 3.56 x 10^4. There are 4 places right from the decimal point. 3.5600

Describe the procedure of using pani ghatt

Answers

Answer:

The water from head of 20m or above is brought in open or closed conduit. Traditionally wooden blades are used as turbine on which water jets are strike upon, jets rotates the bigger wheel mounted on smaller wheel. There is continuos feed of grains in between grinds into finer particles.

Suppose that John lives on a square block that is 180 yards per side, and in the evenings, he walks with his dog around the block for a little exercise.

A) If John walks once around the block, what distance does he travel?

B) If John walks once around the block, what is his final displacement?

Answers

Answer:

It's A

Explanation:

Although I'm not sure about the second one, I'm sure the first one is A

Help ,I wanna know if this is correct or not

Answers

Answer:

it looks correct to me but im not 11% sure

Explanation:

bus travels 6 km east and then 8 km south. What is the displacement?

Answers

Answer:

d = √(6² + 8²) = 10 km

Explanation:

displacement is a vector and subject to vector addition.

the displacement of the bus is 10 km

Children start to gain control over their attention beginning in preschool. This control is related to a growth
spurt in the brain's lobe.

Answers

Answer:

occipital parietal

Explanation:

Hope this helps, plus I took the test

Robert is pushing a 2-kg box by 6 N. What is the acceleration of the box?​

Answers

Mass=2kgForce=6N

[tex]\\ \sf\longmapsto F=ma[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{F}{m}[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{6}{2}[/tex]

[tex]\\ \sf\longmapsto a=3m/s^2[/tex]

Here we will change the formula of force in order to find acceleration:

[tex]a = f \div m[/tex]

A= Acceleration=?F= Force = 6 N( Newton)M= Mass = 2kg

[tex]a = 6 \div 3 \\ a = 3[/tex]

Hence, A is [tex]3m/s^2[/tex]

Imagine that you are immersed under a beautiful cosmic meteor shower. Which
instrument would BEST help you view the largest portion of the sky?
refracting telescope
binoculars
sextant
compound telescope

Answers

Answer:

binoculars

Explanation: I am taking astronomy

Answer: B) binoculars just took the test

Explanation:

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