Which of the following types of energy are present at some point in the energy transfer process in a nuclear power plan? Select all that apply.
Heat energy
Geothermal energy
Tidal energy
Hydroelectric energy
Nuclear energy
Electrical energy
Solar Energy

Answers

Answer 1

Solar Energy is the answer to the question tell me if i`m wrong


Related Questions

what is the resultant force when a 7 N force acts in the same direction as 6 N force

Answers

The resultant force when a 7 N force acts in the same direction as the 6 N force is 13 N.

What is resultant force?

When an object is subject to several forces, the resultant force is the force that act alone and produces the same acceleration as all those forces.

When two or more forces act in the same direction, their resultant force is the sum of all the forces.

To calculate the resultant force, we use the formula below,

Formula:

F' = F₁+F₂............ Equation 1

Where:

F' = Resultant force F₁ = 7 NF₂ = 6 N

Substitute these values into equation 1

F' = 7+6F' = 13 N

Hence the resultant force is 13 N.

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At which latitudes shown in the image of Earth do people experience the greatest tangential speed? Explain why.

At which latitudes shown in the image of Earth do people experience the greatest tangential speed? Explain

Answers

Answer:

Below

Explanation:

At 0    ( or between 30 N and 30 S)    

   they travel the largest circle circumference in a 24 hour day rotation

A Student 330 m 990m from another tall flip between the the Student stands Sound Interval beteeen cliff is cliff from of 1 st and 630 tall Hip which speed of 330 if the 330 m/s 2nd eh what is echo?​

Answers

The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.

Let's break down the distances and calculate the time for each part of the journey:

Distance from the student to the first cliff: 330 meters

Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second

Distance from the first cliff to the second cliff: 990 meters

Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds

Distance from the second cliff back to the student: 990 meters

Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds

Now, we can calculate the total interval between the first and second echo by adding up the individual times:

Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds

Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.

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Note the complete questions is:

A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?

On Apollo Moon missions, the lunar module would blast off from the Moon's surface and dock with the command module in lunar orbit. After docking, the lunar module would be jettisoned and allowed to crash back onto the lunar surface. Seismometers placed on the Moon's surface by the astronauts would then pick up the resulting seismic waves.
Find the impact speed of the lunar module, given that it is jettisoned from an orbit 110 km above the lunar surface moving with a speed of 1600 m/s .
My Approach:
Ei = Ef
1/2*m*vi2 - (G*m*ME)/(radius of moon + orbital distance) = 1/2*m*vf2 ​- (G*m*ME)/r
=> (0.5 * m * 16002) - (6.67 * 10-11 * 7.35*1022 * m/(1737.4*103 +180*103) = (0.5*m*v^2) - (6.67*10-11 * 7.35*1022 * m/(1737.4*103 )

Answers

Answer:

Following are the solution to the given question:

Explanation:

For crashing speed, we can use energy conservation:

kinetic energy \(= \frac{1}{2}\times m \times v^2\)  

potential energy \(= -\frac{GMm}{r}\)

moon mass\(= 7.36\times 10^{22} \ kg\)

Radius\(= 1738\ km\)  

\(\to (K + U) \ orbit = (K + U)\ crash\\\\\to \frac{1}{2}\times m \times v_o^2 - \frac{GMm}{(1738000 + 110000)} \\\\ \to \frac{1}{2}\times m \times vc^2 - \frac{GMm}{1738000}\)

Calculating the mass drop for the leave:

\(\to \frac{vo^2}{2} - \frac{GM}{1848000}\\\\ \to \frac{vc^2}{2} - \frac{GM}{1738000}\)

Solve the value for

\(vc = \sqrt{(vo^2 +2\times GM \times(\frac{1}{1738000} - \frac{1}{1848000}))}\\\\vc = \sqrt{(1600^2 +2\times 6.67\times 10^{-11} \times 7.36 \times 10^{22}\times (\frac{1}{1738000} - \frac{1}{1848000}))}\\\\vc = 1701 \ \frac{m}{s}\\\\\)  

The approach is correct but misrepresented in replacing 180 km instead of 110 km.

The rain gauge has 2 inches of precipitation.
Qualitative or Quantitative

Answers

Answer:

Quantitative is the correct term

this is quantitative.

quantitative values are ones that can be obtained by measuring something (like using a measuring cup to get 250mL of milk).
qualitative values are one that can be observed (the candle was yellow).

hope this helps :)

the fastest tennis service by a man is 246,2 km.hr-1 by Andy Roddick of the United States of America during a match in London in 2004. Calculate the ball's momentum if it has a mass of 58 g?

Answers

Answer:

Approximately \(3.967\; {\rm kg\cdot m\cdot s^{-1}}\).

Explanation:

Convert velocity to the standard units (meters per second):

\(\begin{aligned}v &= 246.2 \; {\rm km \cdot h^{-1}} \\ &= 246.2 \; {\rm km \cdot h^{-1}}\times \frac{1\; {\rm h}}{3600\; {\rm s}} \times \frac{1000\; {\rm m}}{1\; {\rm km}} \\ &\approx 68.389\; {\rm m\cdot s^{-1}}\end{aligned}\).

Convert mass to standard units (kilograms):

\(\begin{aligned} m &= 58\; {\rm g} \\ &= 58\; {\rm g} \times\frac{1\; {\rm kg}}{1000\; {\rm g}}\\ &= 0.058\; {\rm kg}\end{aligned}\).

When an object of mass \(m\) travels at a velocity of \(v\), momentum of that object would be \(p = m\, v\). In standard units, the momentum of this tennis ball would be:

\(\begin{aligned}p &= m\, v \\ &\approx (0.058\; {\rm kg})\, (68.389\; {\rm m\cdot s^{-1}}) \\ &\approx 3.967\; {\rm kg \cdot m\cdot s^{-1}}\end{aligned}\).

why do the scientific method is said to critical thinking

Answers

The scientific method is useful because you do use your critical thinking

The truss shown in the figure carries a
load F= 20 kN at joint D. The truss is
designed with nine rods, six of which (the
inclined ones) have the same length d=2
m. Rods BC, EC, DE, and BD form a
square.
1. Find the support reactions at joints A
and F.
2. Using the method of joints or method of
sections to find the tensions in rods BD
and BC.
3. State whether each member is in
tension or compression.

The truss shown in the figure carries aload F= 20 kN at joint D. The truss isdesigned with nine rods,

Answers

The support reactions at joints A and F is 28.28 kN.

The method of joints or method of sections to find the tensions in rods BD and BC is 40 kN.

Each member is in tension or compression are (T_BC = 20 kN) and (T_BD = 40 kN).

What is compression?

Compression is the process of reducing the size of a file, or data set, by encoding it using fewer bits than the original file. Compression techniques are used in many fields, including data storage and transmission, audio and video editing, and software development.

1. The support reactions at joints A and F can be found by using the equations of equilibrium:

R_A = F_x = 0 = -20 kN + R_F cos(45°)

R_F = F_y = 0 = -20 kN + R_A cos(45°)

Solving the equations, R_A = 28.28 kN and R_F = 28.28 kN.

2. Using the method of joints, the tensions in rods BC and BD can be found by taking moments around point D.

Moment about D: 0 = -F×d×sin(45°) + T_BC×d/2 - T_BD×d/2

Therefore, T_BC = 20 kN and T_BD = 40 kN.

3. Rod BC is in tension (T_BC = 20 kN) and rod BD is in compression (T_BD = 40 kN).

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What part of the sweating process promotes cooling?

wiping sweat from the surface of the skin
condensation of liquid sweat on the skin
liquid (sweat) sitting on the skin’s surface
evaporation of liquid sweat from the skin

Answers

Answer: Condensation of liquid sweat on the skin

Explanation:

When a 100-N force acts horizontally on an 8.0-kg chair, the chair moves at a constant speed across the level floor. Which statement has to be true?
The chair accelerates at 12.5 m/s^2
The applied force is greater than the frictional force.
The friction force is 100 N
There is no friction between the floor and chair

Answers

Answer:

The applied force is greater than the frictional force.

Explanation:

the chair moves at a constant speed therefore, the answer is not A or C.

if there is no friction then the chair would accelerate and it would not be at a constant speed.

hence, the only possible answer is B.

What kind of energy is produce when sun reaches solar panel?

What kind of energy is produce when sun reaches solar panel?

Answers

Answer:

Radient to ElEcTrIcAAl

Explanation:

The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible.

The energy produced when the sun reaches solar panel is nuclear fusion

6
Select the correct answer.
Which of the following is NOT a characteristic of a good warm up?
ОА.
Increased water retention
B.
Increased body temperature
Ос. .
Increased blood flow to the muscles
OD. Increased oxygen flow to the muscles

Answers

Answer:

i think it would be increased water retention

A 50-kg ice skater turns a bend at 7 m/sec. If the radius of the curve is 5 m, what is the centripetal force in Newtons provided by the friction between the blade of the skate and the ice?

Answers

The centripetal force in Newtons provided by the friction between the blade of the skate and the ice is 490 N

How do i determine the centripetal force?

The following data were obtained from the question:

Mass of ice skater (m) = 50 KgVelocity (v) = 7 m/sRadius (r) = 5 metersCentripetal force (F) =?

The centripetal force can be obtained as illustrated below:

F = mv²/r

= (50 × 7²) / 5

= (50 × 49) / 5

= 2450 / 5

= 490 N

Thus, we can concluded that the centripetal force is 490 N

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On July 4, 2005, the NASA spacecraft Deep Impact fired a projectile onto the surface of Comet Tempel 1. This comet is about 9.0 km across. Observations of surface debris released by the impact showed that dust with a speed as low as 1.0 m/s was able to escape the comet.

1. Assuming a spherical shape, what is the mass of this comet? ( The escape speed for an object at the surface of Earth is 11.2 km/s).

Express your answer using two significant figures.
M = ____________ kg
2. How far from the comet's center will this debris be when it has lost 60% of its initial kinetic energy at the surface?

Express your answer using two significant figures.
r = ____________ km

Answers

Answer:

1. M = 67,422,800,892,977.54 kg

2. r = 15 km

Explanation:

The diameter of the Comet Tempel 1, D = 9.0 km across

The speed with which the dust escapes = 1.0 m/s

1. The escape velocity, \(v_e\), is given by the following formula

\(v_e = \sqrt{\dfrac{2 \cdot G \cdot M}{R} }\)

Where;

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

\(v_e\) = The escape velocity of the debris = 1.0 m/s

M = The mass of the comet from where the debris escapes

From the escape velocity equation, we have;

\(M = \dfrac{v_e^2 \cdot R}{2 \cdot G}\)

Plugging in the values for the variables, we get the mass of the comet, 'M', as follows;

\(M = \dfrac{1.0^2 \times 9,000}{2 \cdot 6.67430 \times 10^{-11}} \approx 67,422,800,892,977.54 \, kg\)

The mass of the comet, M ≈ 67,422,800,892,977.54 kg

2. When the debris has lost 60% of its initial kinetic energy, we have;

\(60\% \, K.E. = 0.6\cdot K.E. = 0.6 \times \dfrac{1}{2} \times m \times v_e^2 = \dfrac{G \cdot M \cdot m}{r}\)

\(\therefore \, The \ distance \ of \ debris \ from \ the \ center, \, r = \dfrac{G \cdot M }{0.6 \times \dfrac{1}{2} \times v_e^2 }\)

\(r = \dfrac{6.67430 \times 10^{-11} \times 67,422,800,892,977.54}{0.6 \times \dfrac{1}{2} \times 1^2 } = 15,000\)

When the debris has lost 60% of its initial kinetic energy, the distance the debris will be from the comet's center, r = 15,000 m = 15 km

prepare a report on why a vehicle needs to be maintained/serviced after a certain period of time. How is servicing different in a petrol/diesel and electric vehicle?​

Answers

Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.

Why should cars be maintained and / or serviced ?

First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.

The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.

This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.

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which is a property of bases?​

Answers

Answer:

to turn red litmus blue and react with acid to form salt

its about Sankey diagram

Answers

\(\begin{gathered} \text{Input = Total outputs} \\ \text{Input = }Transformed\text{ as }sound+Transformed\text{ as light +}Transformed\text{ as heat} \\ 500\text{ j/s =j/s}Transformed\text{ as }sound+\text{j/s}Transformed\text{ as light +j/s}Transformed\text{ as heat } \\ \text{From the options} \\ B)\text{ 50J/s }Transformed\text{ as }sound \\ C)\text{ }200\text{ J/s }Transformed\text{ as heat} \\ D)\text{ 250 J/s }Transformed\text{ as light } \\ \text{Proving} \\ 500\text{ J/s= 50J/s+200J/s+250J/s} \\ 500\text{ J/s=500J/s, true} \end{gathered}\)

its about Sankey diagram

A circular parallel-plate capacitor whose plates have a radius of 25 cm is being charged with a current of 1.3 A. What is the magnetic field 11 cm from the center of the plates

Answers

The magnetic field at 11 cm from the center of the plates is 2.364 x 10⁻⁷ T.

Given;

radius of the circular plate, d = 25 cm = 0.25 m

current in the plate, I = 1.3 A

distance from the center of the circular plate, r = 11 cm = 0.11 m

To find:

magnetic field (B)

The magnetic field from the given distance is calculated as from Biot Savart equation:

\(B = \frac{\mu_o I}{2\pi r} \\\\where;\\\\\mu_o \ is \ permeability \ of \ free \ space \ 4\pi \times 10^{-7} \ T.m/A\\\\B = \frac{(4\pi \times 10^{-7} ) \times (1.3)}{2\pi \times 0.11} \\\\B = 2.364 \ \times 10^{-6} \ T\)

Therefore, the magnetic field 11 cm from the center of the plates is 2.364 x 10⁻⁷ T.

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A box with a mass of 50 kg is dragged across the floor by a rope which makes an angle of 30degrees with the horizontal. Determine the coefficient of kinetic friction between the box and the floor if a 250-newton force on the rope is required to move the crate at a constant speed of 20 m/s.

Answers

Answer:

0.6

Explanation:

There are four forces on the box:

Weight force mg pulling down,

Normal force N pushing up,

Tension force T pulling 30° above the horizontal,

and friction force Nμ pushing to the left.

Sum of the forces in the y direction:

∑F = ma

N + T sin 30° − mg = 0

N = mg − T sin 30°

Sum of forces in the x direction:

∑F = ma

T cos 30° − Nμ = 0

Nμ = T cos 30°

μ = T cos 30° / N

μ = T cos 30° / (mg − T sin 30°)

Plug in values:

μ = (250 N) cos 30° / ((50 kg) (9.8 m/s²) − (250 N) sin 30°)

μ = 0.59

Rounded to one significant figure, the coefficient of friction is 0.6.

The coefficient of kinetic friction between the box and floor is :  0.6

Given data :

Mass of box = 50 kg

Angle = 30°

Force required on rope  ( T ) = 250 N

speed = 20 m/s

g = 9.81 m/s²

Calculate the value of the coefficient of kinetic friction

First step : determine sum of forces in the y-direction

∑ Fy = ma

N  +  T sin 30°  - mg = 0

∴ N = mg - Tsin 30° ----- ( 1 )

Next step : Determine the sum of forces in the x-direction

∑ Fx = ma

T cos 30° - Nμ = 0

∴ μ = T cos 30° / N  ----- ( 2 )

where ; N = mg - T sin 30°

Final step : Determine the coefficient of kinetic friction between the box and floor

Back to equation ( 2 )

μ = T cos 30° / ( mg - T sin 30° )

    = 250 cos 30° / ( ( 50 * 9.81 ) - 250 * sin 30° ))

    = 0.59 ≈ 0.6

Hence we can conclude that The coefficient of kinetic friction between the box and floor is :  0.6

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How does potential energy convert to kinetic energy in the loop the loop section of a roller coaster

Answers

The loop-the-loop works in the same way, with the highest point of the loop representing the roller coaster's potential energy. It converts to kinetic energy on the way down and out of the loop-the-loop and rolls onto the next stomach-churning thrill.

What is potential energy ?

Potential energy is the energy held by an object as a result of its position in relation to other objects, internal stresses, electric charge, or other factors.

Because of its position, an object can store energy. When a demolition machine's heavy ball is held in an elevated position, it stores energy. This stored positional energy is known as potential energy. Similarly, the position of a drawn bow allows it to store energy.

When potential energy is released, it is propelled into motion by gravity or elastic forces, among other catalysts.

Thus, The loop-the-loop works in the same way, with the highest point of the loop representing the roller coaster's potential energy.

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3) Vector A is 2.8 cm at 60° above the positive x-axis. Vector B is 1.90 cm at 60 below the
positive x-axis. Use components to find the following
a) A+ B
b) A-B
c) B-A

3) Vector A is 2.8 cm at 60 above the positive x-axis. Vector B is 1.90 cm at 60 below thepositive x-axis.

Answers

The following vector components are:

a) A+ B - 84.21°

b) A-B - 18.74°

c) B-A - -84.21°

How to find vector components?

To use components to find the given vectors, break each vector into its x and y components using trigonometry.

Assume the positive x-axis points to the right and the positive y-axis points up.

For vector A, the magnitude of the x-component is given by Acos(60°) and the magnitude of the y-component is given by Asin(60°),

Ax = Acos(60°) = 2.8 cm × 0.5 = 1.4 cm

Ay = Asin(60°) = 2.8 cm × 0.866 = 2.425 cm

For vector B,  the negative sign since the vector is below the x-axis,

Bx = Bcos(60°) = 1.9 cm × 0.5 = 0.95 cm

By = -Bsin(60°) = -1.9 cm × 0.866 = -1.6494 cm

a) To find A + B, add the x and y components separately:

(A + B)x = Ax + Bx = 1.4 cm + 0.95 cm = 2.35 cm

(A + B)y = Ay + By = 2.425 cm - 1.6494 cm = 0.7756 cm

Then, the vector A + B has a magnitude of √[(2.35 cm)² + (0.7756 cm)²] = 2.466 cm and an angle of tan⁻¹(0.7756 cm / 2.35 cm) = 18.74° above the positive x-axis.

b) To find A - B, subtract the x and y components separately:

(A - B)x = Ax - Bx = 1.4 cm - 0.95 cm = 0.45 cm

(A - B)y = Ay - By = 2.425 cm + 1.6494 cm = 4.0744 cm

Then, the vector A - B has a magnitude of √[(0.45 cm)² + (4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(4.0744 cm / 0.45 cm) = 84.21° above the positive x-axis.

c) To find B - A, subtract the x and y components separately:

(B - A)x = Bx - Ax = 0.95 cm - 1.4 cm = -0.45 cm

(B - A)y = By - Ay = -1.6494 cm - 2.425 cm = -4.0744 cm

Then, the vector B - A has a magnitude of √[(-0.45 cm)² + (-4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(-4.0744 cm / -0.45 cm) = -84.21° below the positive x-axis.

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HELP PLEASEEEEEEEEEEE

HELP PLEASEEEEEEEEEEE

Answers

Answer:

dolphin and wolf

Explanation:

the sharks jaw is way to small for it and is shaped differently

Question 4
1 pts
Which of the following is not evidence that kinetic energy has been
lost in a collision?
At least one of the objects is deformed after the collision.
At least one of the objects increases in temperature as a result of the collision.
The collision produces a sound.
One of the objects is at rest after the collision.
<

Answers

Answer:

one of the object is at rest after the collision

assignment questions

Answers

Answer:

which on a is the question

An earth satellite travels in a circular orbit at 20,000 mph if the radius of the orbit is 4,300 mi what angular velocity is generated?

Answers

Answer:

0.00129rad/s

Explanation:

The angular velocity is expressed as;

v = wr

w is the angular velocity

r is the radius

Given

v =  20,000 mph

r = 4300mi

Get w;

w = v/r

w = 20000* 0.44704/4300*1609.34

w = 8940.8/6,920,162

w = 0.00129rad/s

Hence the angular velocity generated is 0.00129rad/s

Compare and Contrast Describe the charge of a proton, an electron, and a neutron.

Please help me T^T

Answers

Answer:

the difference between electron, protons and neutrons is the charge they carry. Electrons are charged negative protons are charged negative and neutrons do not carry any charge

Explanation:

the difference between the three are there charge. The electrons are negatively charged, protons are positive and neutrons are electrically neutral.

And they are the 3 main sub atomic particles

how is voltage related to electric potential energy?

Answers

Answer:

Explanation:

Electric potential energy is energy possessed by a charged body by virtue of its location. Voltage which is also known as electric potential difference is the external work required to bring a charge from a given location in an electric field to another location

Communication cannot be reversed

Answers

Communication cannot be reversed. This statement is clearly true. Because, we cannot take the words back and undo all the initial effects during communication.

What is reversibility ?

An action that can be reversed back to its initial state is called reversible otherwise it is called irreversibility. Communication is irreversible and can be defined as a principle of interpersonal interaction in which we cannot take or retrieve information we say or pass to another party, whether it is what we intended to say or not.

We can wish we hadn't said something, regret it, and apologies later, but we can't take it back because once it's out, it's out.

We're only talking to make up for the unintended consequences of previous communication errors. We believe that taking more care with what we say in the first place can break this seemingly never-ending cycle.

Once a word, phrase, or comment is spoken, or an impulsive text message or e-mail is sent, it cannot be erased from the memory of others. Because communication is irreversible, one should always be mindful of what they communicate to others.

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Your question is incomplete. But your complete question is as follows:

Communication cannot be reversed. True/false ?

A skydiver jumps out of a helicopter and falls freely for 9.0 seconds before opening the parachute..

1. What is the the skydivers downward velocity when the parachute opens?
2. How far below the helicopter is the skydiver when the parachute opens?

Answers

The skydiver's downward velocity when the parachute opens can be calculated using the equation of motion:
vf = vi + g * t

where vf is the final velocity, vi is the initial velocity (0 m/s, since the skydiver is in free fall), g is the acceleration due to gravity (9.8 m/s^2), and t is the time (9.0 s).

vf = 0 + 9.8 m/s^2 * 9.0 s = 88.2 m/s

So, the skydiver's downward velocity when the parachute opens is 88.2 m/s.

The distance the skydiver falls during the 9.0 seconds can be calculated using the equation:
d = vi * t + 0.5 * g * t^2

where d is the distance, vi is the initial velocity (0 m/s), g is the acceleration due to gravity (9.8 m/s^2), and t is the time (9.0 s).

d = 0 * 9.0 s + 0.5 * 9.8 m/s^2 * 9.0 s^2 = 405 m

So, the skydiver is 405 meters below the helicopter when the parachute opens

What fraction of the total kinetic energy is rotational for the following objects rolling without slipping on a horizontal sur- face? (a) a uniform solid cylinder; (b) a uniform sphere; (c) a thin- walled, hollow sphere; (d) a hollow cylinder with outer radius R and inner radius R>2.

Answers

The ratio of their rotational kinetic energies is 4/5 or 0.8.

Let's denote the mass and radius of the cylinder and sphere as "m" and "r", respectively. At the top of the incline, both objects have only potential energy, which is then converted to kinetic energy. At the bottom of the incline, both objects have both translational and rotational kinetic energy.

For a uniform solid cylinder, the rotational inertia is\(1/2 * m * r^2\). For a uniform sphere, the rotational inertia is\(2/5 * m * r^2\). Therefore, the ratio of their rotational kinetic energies is:

(rotational kinetic energy of sphere) / (rotational kinetic energy of cylinder)

\(= (2/5 * m * r^2 * (v/r)^2) / (1/2 * m * r^2 * (v/r)^2)\)

= (4/5)

Therefore,  rotational kinetic energy of  sphere is 80% of  rotational kinetic energy of the cylinder at  bottom of the incline.

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--The complete Question is, A uniform solid cylinder and a uniform sphere with the same mass and radius are released from rest at the top of an incline. They both roll without slipping down the incline and reach the bottom with the same translational speed. What is the ratio of their rotational kinetic energies at the bottom of the incline?--

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