How is energy transferred when
hitting a nail?​

Answers

Answer 1

Answer:

kinetic energy

kinetic energy


Related Questions

Are the coils in an electric heater blackbody radiators? Why?
A. No, because they do not emit different wavelengths of light
B. Yes, because they glow more brightly as they increase in
temperature
O C. No, because they absorb no energy and emit no light
D. Yes, because they reflect most of the energy they receive

Answers

Answer:

B. Yes, because they glow more brightly as they increase in

temperature

Explanation:

Did the test !!

The coils in an electric heater blackbody are not radiators. Because, they absorb no energy and emit no light. Thus, the correct option is C.

What is an electric heater?

Electric heating is a process in which the electrical energy is converted directly into the heat energy at around about 100% efficiency, using rather the cheap devices. Common applications which are included are space heating, cooking, water heating and industrial processes.

A radiator is the key component of the engine's cooling system. Radiator has the main role to disperse a mix of antifreeze and water molecules throughout the fins, which releases some of the engine's heat energy while taking in the cool air before continuing to pass the rest of the electric engine.

Therefore, the correct option is C.

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Which of the following is not a characteristic of electrical potential energy? a. It is a form of mechanical energy. b. It results from a single charge. c. It results from the interaction between charges. d. It is associated with a charge in an electric field. Please select the best answer from the choices provided A B C D

Answers

it is a form of mechanical energy, this is not a characteristic of electrical potential energy. Hence option A is correct.

Electrical potential energy is the energy that is held in a system of charges as a result of their arrangements or positions. It is connected to a charge in an electric field and results from the interaction of charges.

The relative locations of the charges and how they interact with the electric field determine the potential energy. Electrical potential energy is not regarded as a type of mechanical energy, though. The energy connected to the motion or location of an object is referred to as mechanical energy.

Both kinetic energy (energy of motion) and potential energy (energy resulting from position or configuration) are included in it; however, electrical potential energy belongs to the potential energy category rather than the mechanical energy category.

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For an atom's electrons, how many energy sub levels are present in the principal energy level n=4?
A. 4
B. 9
C. 10
D. 16
E. 32

Answers

Answer:

the principal energy level is d because electrons are 2 times more

given the following inputs on , , and , determine the corresponding outputs and for this 5-bit ripple carry two's complement adder/subtractor circuit. do not put whitespace in your answers. : question blank 1 of 8

Answers

The circuitry for the copy adder and subtractor mechanism in the 2 is shown in the image. Switches should have eight inputs attached to them, and LEDs should have four outputs.

What is the complement adder/subtractor circuit?

To create a 5 bit parallel adder, 4 full adders and 1 half adder are required. For a four full adder, we need four OR gates, eight AND gates, and eight Ex-OR floodgates.

One AND gate and one EX-OR gate for each half of the adder. Eventually, a 5-bit adder requires 8 OR gates, 9 AND gates, and 9 Ex-OR doors. Another option is to build a circuit that can execute addition and subtraction simultaneously.

Therefore, When there are n inputs, this value grows exponentially at a rate of n/2. Because of this, there are 16 possible ways to build an AND gate with four inputs, 32 ways with five inputs, and so on.

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HELPPPPPPPPPPPPPPPPPPPQuestion 17 of 25
Which property describes the distance from one compression to the next?
A. Frequency
B. Speed
C. Wavelength
O D. Period
SUBMIT

Answers

Answer: wavelength

Explanation:

Answer:

The answer would be "Wavelength" or C

Explanation:

I just did the exam

a surfer talks about riding a 20-foot wave. Which measurement of waves is the surfer describing?

frequency
amplitude
wavelength
speed

60 POINTS!!

Answers

Frequency I think that’s correct

Answer:

C. Amplitude

Explanation: Amplitude is the maximum displacement from the equilibrium of a wave. Basically the height.   

3.00 m^3 of water is at 20.0°C.If you raise its temperature to60.0°C, by how much will itsvolume expand?WaterB = 207•10-6 0-1(Unit = m^3)

Answers

Given,

Initial volume of the water, V₁=3.00 m³

The initial temperature of the water, T₁=20.0 °C=293.15 K

The final temperature of the water, T₂=60 °C=333.15 K

From Charle's law, we have,

\(\frac{V_1}{T_1_{}}=\frac{V_2}{T_2}\)

On rearranging the above equation,

\(V_2=\frac{V_1T_2}{T_1}\)

On substituting the known values in the above equation,

\(V_2=\frac{3.00\times333.15}{293.15}=3.41m^3\)

Therefore the change in the volume is,

\(\Delta V=V_2-V_1\)

i.e.,

\(\Delta V=3.41-3.00=0.41m^3\)

Therefore, the volume of the water will expand by 0.41 m³

The arm in the figure below weighs 42.3 N. The force of gravity acting on the arm acts through point A. Determine the magnitude of the tension force FT in the deltoid muscle of the force FS exerted by the shoulder on the humerus to hold arm in the position shown. Find Ft and Fs.

The arm in the figure below weighs 42.3 N. The force of gravity acting on the arm acts through point

Answers

Given:

Weight of arm = 42.3 N

Let's determine the magnitude of the tension force in the deltoid muscle force exerted by the shoulder.

Here, we are to find Ft and Fs.

To solve for Ft, take the equation for the sum of forces about point O.

We have:

\(F_t*0.080sin12-42.3*0.290=0\)

Rewrite the equation for Ft and evaluate:

\(\begin{gathered} F_t*0.016633-12.267=0 \\ \\ F_t=\frac{12.267}{0.016633} \\ \\ F_t=737.51\text{ N} \end{gathered}\)

Therefore, Ft = 737.51 N

Now, for the sum of vertical forces, we have:

\(\begin{gathered} -42.3+737.51*sin(12)-F_s*sin(\theta)=0 \\ \\ F_ssin(\theta)=-42.3+737.51sin(12) \\ \\ F_ssin(\theta)=115.20\text{ N} \end{gathered}\)

• For the sum of horizontal forces, we have:

\(\begin{gathered} F_scos(\theta)-F_tcos(12)=0 \\ \\ F_scos(\theta)=F_tcos(12) \\ \\ F_scos(\theta)=737.51cos(12) \\ \\ F_scos(\theta)=721.39\text{ N} \end{gathered}\)

Now, we have the equations:

\(\begin{gathered} F_ssin(\theta)=115.20\text{ N} \\ F_scos(\theta)=721.39\text{ N} \end{gathered}\)

Combine both equations:

\(F_ssin(\theta)+F_scos(\theta)=115.20+721.39\)

Square all terms:

\(\begin{gathered} F_s^2sin^2(\theta)+F_s^2cos^2(\theta)=115.20^2+721.39^2 \\ \\ Fs^2(sin^2(\theta)+cos^2(\theta))=115.20^2+721.39^2 \\ \\ \text{ WHere:} \\ (sin^2(\theta)+cos^2(\theta))=1 \end{gathered}\)

Solving further:

\(\begin{gathered} F_s^2*1=115.20^2+721.39^2 \\ \\ F_s^2=533674.5721 \end{gathered}\)

Take the square root of both sides:

\(\begin{gathered} \sqrt{F_s^2}=\sqrt{533674.5721} \\ \\ F_s=730.53\text{ N} \end{gathered}\)

ANSWER:

• Ft = 737.51 N

,

• Fs = 730.53 N

7. Imagine you could look at the flashlight from behind your object, looking
from the darkest and lightest parts of the object's shadow. How much of
the light source do you think you could see from each location?

Answers

From the darkest part of the object's shadow, you would be able to see a small amount of the light source. There would be a small amount of light that is visible, but it would be faint. On the other hand, from the lightest part of the shadow, you would be able to see much more of the light source. The light source would be far brighter and more visible, and you would be able to identify the source of the light.

Hope this helps! Have a nice day. :)

A system's thermal energy decreases by 20 J while the system performs 10 J of work. How much heat was added to the system?

Answers

Answer:

Q = -10J

Explanation:

The change in internal energy is equal to the heat added to the system less the work done by the object, so:

ΔU = Q - W

Then, replacing the change in internal energy ΔU by = - 20J and W by 10J, we get:

-20J = Q - 10J

Add 10J to both sides of the equation:

-20J + 10J = Q - 10J + 10J

-10J = Q

Therefore, the answer is Q = -10J

In a popular demonstration, vinegar and baking soda are combined in a bottle as shown. Sodium carbonate, water as well as carbon dioxide gas are formed. The balloon traps the carbon dioxide.

According to the law of conservation of mass, the total mass of the reactants equals the total mass of the products. How could you alter the demonstration above so that the mass of products would not equal the total mass of the reactants?
A) Use less of the reactants.
B) Do not use a clean bottle.
C) Take the balloon off the bottle.
D) Shake the bottle while the chemicals are reacting.

Answers

Answer:

Shake the bottle while the chemicals are reacting.

Explanation:

Answer:

C

Explanation:

If you take the balloon off, the product will leak.

Engineers are developing a process to produce phosphorus pentachloride.
Which two criteria are the most essential when developing this process?

Engineers are developing a process to produce phosphorus pentachloride.Which two criteria are the most

Answers

Answer:

The two criteria that are most essential are options C and D

Explanation:

In trying to develop a new process/procedure for the commercial/industrial production of a particular substance (in this case phosphorus pentachloride), it is important that the workers that would operate the equipment required for this new procedure are able to operate it safely, i.e without fear of injury or losing one's life. If this fear is present or any adverse effect occurs, it would not only be counterproductive but would also make workers avoid using this procedure and may be forced to revert to previous safe procedure.

It is also essential for the new procedure to be able to get the most desired product out of the reactant, meaning the rate and amount of desired product (phosphorus pentachloride) that would be obtained from a given amount of reactant must be very high (a better upgrade when compared to the previous procedure). This is going to cause for a better amount of phosphorus pentachloride produced as against the previous amounts produced from previous procedure.

From the above, it can be deduced that options C and D are two criteria that are most essential when trying to develop a novel process to produce phosphorus pentachloride.

Answer: the guy above me is correct

Explanation:

A farmer after a successful harvest brings his product home using a crate. To the crate and the harvest with total mass of 50.0 kg, he exerts a force of 1.20 x 102 N by pulling on the rope.

A) How much work does he do on the crate if the rope is horizontal to the ground and he pulls the crate 5.00 m?

B) How much work does he on the crate if the rope makes an angle of 30.0 degrees with the horizontal and pulls the sled the same distance?

Answers

A) When the rope is horizontal to the ground, the force the farmer exerts is in the same direction as the displacement of the crate. Therefore, the work done by the farmer on the crate can be calculated using the formula:

work = force x distance x cos(theta)

where force is the magnitude of the force applied, distance is the displacement of the crate, and theta is the angle between the force and the displacement. In this case, theta is 0 degrees because the force is in the same direction as the displacement.

Substituting the given values, we get:

work = (1.20 x 10^2 N) x (5.00 m) x cos(0 degrees)

work = 600 J

Therefore, the farmer does 600 J of work on the crate when the rope is horizontal to the ground.

B) When the rope makes an angle of 30.0 degrees with the horizontal, the force the farmer exerts is at an angle of 30.0 degrees to the displacement of the crate. Therefore, the work done by the farmer on the crate can be calculated using the same formula:

work = force x distance x cos(theta)

but this time, theta is 30.0 degrees.

Substituting the given values, we get:

work = (1.20 x 10^2 N) x (5.00 m) x cos(30.0 degrees)

work = (1.20 x 10^2 N) x (5.00 m) x 0.866

work = 519 J

Therefore, the farmer does 519 J of work on the crate when the rope makes an angle of 30.0 degrees with the horizontal.

A 200 W engine generates 4000 J of energy. How long did it run for?
A. 20 s
B. 200 s
C. 0.2 s
D. 2 s

Answers

Answer:

A

Explanation:

power =  energy/time

200 = energy / t

200 = 4000/t

t = 4000/200= 20 sec

What is the y component of a vector defined as 12.2m at 245^o

What is the y component of a vector defined as 12.2m at 245^o

Answers

Given:

v = 12.2 m

Angle = 245 degrees

Let's find the y-component of the vector.

Let's first sketch a free body diagram representing the vector.

We have:

To find the y-component of the vector, apply the formula:

\(d_y=dcos\theta\)

Where:

θ = 25 degrees

d = -12.2 m

Thus, we have:

\(\begin{gathered} d_y=-12.2cos25 \\ \\ d_y=-11.1\text{ m} \end{gathered}\)

Therefore, the y-component of the vector is -11.1 m.

What is the y component of a vector defined as 12.2m at 245^o

A teenager of mass m1 = 64 kg pushes backward against the ground with his foot as he rides his skateboard. This exerts a horizontal force of magnitude Ffoot = 13 N. The skateboard has m2 = 2.9 kg.

a. Write an expression for the magnitude of the horizontal component of force that the ground exerts on the teenager's foot, Fground.
b. Write an expression in terms of given quantities for the magnitude of the skateboard's acceleration, a, while the teenager is pushing backwards on the ground.
c. What is the numerical value for the magnitude of the acceleration, a, in m/s2?

Answers

We multiply the magnitude of the vector even by the cosine angle referenced towards the horizontal. The horizontal force defines as the force exerted inside a direction parallel to the horizon. Acceleration is merely the rate during which velocity changes. As a result, the magnitude indicates how rapidly velocity varies, and the further calculation can be defined as follows:

For option a:

\(\to F_{foot}= 13 \ N\\\\\to m_1= 64 \ kg\\\\\to m_2=2.9 \ kg\\\\\)

Please find the graph for the direction:

\(\to |F_{ground}|= |F_{foot}| \\\\ \to F_{ground}= -F_{foot}= - 13 \ N\\\\\)

For option b:  

\(F_{ground}=(m_1+m_2)a\\\\a=\frac{F_{ground}}{m_1+m_2}\\\\\)

For option c:  

\(\bold{a=\frac{13}{64+2.9}}\\\\\)

  \(\bold{=\frac{13}{66.9}}\\\\\bold{=0.194 \ \frac{m}{s^2}}\\\\\)

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A teenager of mass m1 = 64 kg pushes backward against the ground with his foot as he rides his skateboard.

Assume that a person bouncing a ball represents a closed system. Which
statement best describes how the amounts of the ball's potential and kinetic
energy change?
O A. The ball's kinetic energy increases as it falls and its potential
energy decreases.
B. The ball's potential energy decreases as it rises and its kinetic
energy increases.
C. Both the kinetic and potential energy of the ball decrease.
D. Both the kinetic and potential energy of the ball increase

Answers

Answer:

I know that it is A

Explanation:

Help pls. Edge 2021- Motion in space

Help pls. Edge 2021- Motion in space

Answers

Collaboration is critical to successful product design, and with Solid Edge, OEMs and suppliers can improve and manage collaboration across design teams, regardless of location. By reducing design revisions and communication delays, our customers enjoy quicker time-to-market and increased profitability.

what determines the size of a launch window? answer specifically and detail.​

Answers

Answer: The position of the launch site, the desired orbit, the position of the destination, and the characteristics of the spacecraft being launched.

Explanation:

The size of a launch window is determined by a variety of factors, including the position of the launch site, the desired orbit, the position of the destination, and the characteristics of the spacecraft being launched.

One of the most important factors is the position of the launch site relative to the desired orbit. The launch site must be positioned in such a way that the rocket can achieve the required velocity and trajectory to reach the desired orbit. The angle and speed at which the rocket is launched are also crucial, as they affect the amount of fuel required and the trajectory of the rocket.

The position of the destination is another factor that affects the size of the launch window. For example, if the spacecraft is bound for a planet that is moving in its orbit, the launch window must be adjusted to account for the changing position of the planet.

In addition, the characteristics of the spacecraft being launched, such as its size, weight, and propulsion system, can also affect the size of the launch window. A larger spacecraft may require more fuel and a longer burn time, which may limit the available launch window.

Overall, the size of a launch window is determined by a complex set of factors, including the position of the launch site, the desired orbit, the position of the destination, and the characteristics of the spacecraft being launched. Launch planners use sophisticated computer models and simulations to calculate the optimal launch window based on these factors.

Your son forgets to do his chores before leaving for hockey practice. You scold him later that evening when he returns (which he does NOT enjoy). This is an example of...

Answers

The scenario presented is an example of negative punishment.

Negative punishment involves the removal of a desirable stimulus or the addition of an aversive stimulus in response to a behavior, with the goal of decreasing the likelihood of that behavior occurring again in the future.

In this case, the desirable stimulus that was removed is the son's ability to engage in leisure activities like playing hockey, and the aversive stimulus that was added is the scolding from the parent. By experiencing this consequence, the son may be less likely to forget his chores in the future in order to avoid the negative outcome.

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Ultimate frisbee relies upon good sportsmanship since there are no referees and players must self-officiate the game. What is this known as?
Group of answer choices

Spirit of the Team

Spirit of the Frisbee

Spirit of Sportsmanship

Spirit of the Game

Answers

Answer:

spirit of the team / game

PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons

Answers

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

Why the electron number cannot be used instead?

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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Given a = 31+4j- k and b= 1 - 3j+ k,
find a unit vector n normal to the plane
containing a and b such that a, b and n in that form a right handed system

Answers

Unit vector n is (7/√6206)i - (30/√6206)j - (97/√6206)k and is a right handed system because of its positive value.

How to determine unit vector?

To find a unit vector n normal to the plane containing a and b, we need to take the cross product of a and b:

a × b =

| i j k |

| 31 4 -1 |

| 1 -3 1 |

= (4×1 - (-1)×(-3))i - (31×1 - (-1)×1)j + (31×(-3) - 4×1)k

= 7i - 30j - 97k

To make this a unit vector, we need to divide it by its magnitude:

|n| = √(7² + (-30)² + (-97)²) = √(6206)

n = (7/√6206)i - (30/√6206)j - (97/√6206)k

To check that this forms a right-handed system with a and b, we can take their dot product:

a · (b × n) =

(31+4j-k) · (7i-30j-97k) =

31×7 + 4×(-30) + (-1)×(-97) = 505

Since this is a positive value, we can conclude that a, b, and n form a right-handed system.

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Callisto is a moon of Jupiter
(mass= 1.90 x 1027 kg), which orbits
the planet with a period of 16.9 days.
What is the radius of its orbit?
[?] x 10¹ m
Coefficient (green)
Exponent (yellow)
Enter

Answers

8.27 x 1013 meres is the orbital radius.

Additional details:-

Jupiter's mass, 1.9 x 1027 kg, and the time interval, 16.9 days, are equal to 1.46 x 106 seconds. The radius is needed, thus r. Solution

The moon must be held in its orbit by a gravitational force equal to the centripetal force between Jupiter and the moon.

6.67 x 10⁻¹¹ N/m²kg

2 x 1.9 x 10/27 x 1.46 x 10'6 / 4 r = 6.85 x 102'7 G = 6.67 x 10'11 N/m2kg2 r = 8.27 x 10'7

What distinguishes Callisto, a huge moon orbiting Jupiter, from all other large moons in the solar system?

The second-largest moon in Jupiter's orbit and the third-largest moon in the solar system is called Callisto. Of all the objects in our solar system, its surface has the most craters.

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\(Question: $x_{1}=\frac{5}{2}[\sin (2 \pi t)+\cos (2 \pi t)], x_{2}=5\left[\sin \left(2 \pi t+\frac{\pi}{4}\right)\right]$\)
Find the ratio of the amplitude of the given motion?
Options:
\((a) $\sqrt{2}: 1$\\(b) $2: 1$\\(c) $1: \sqrt{2}$\\(d) $1: 2$\)

Answers

Condense x₁ to get

sin(2πt) + cos(2πt) = √2 • (sin(2πt) + cos(2πt))/√2

… = √2 (cos(2πt) cos(π/4) + sin(2πt) sin(π/4))

… = √2 cos(2πt - π/4)

So the amplitude of x₁ is (5/2) • √2 = 5/√2, while the amplitude of x₂ is 5. The ratio between them is then 5/√2 : 5, or equivalently 1/√2 : 1 or 1 : √2.

After coming down a slope, a 60-kg skier is coasting northward on a level, snowy surface at a constant 15 m>s. Her 5.0-kg cat, initially running southward at 3.8 m>s, leaps into her arms, and she catches it. (a) Determine the amount of kinetic energy converted to internal energy in the Earth reference frame. (b) What is the velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat’s kinetic energy does not change?

Answers

The velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat's kinetic energy does not change is equal to the velocity of the skier before the collision. The velocity of the skier before the collision is 15 m/s.

What is law of conservation of momentum?

According to the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision. This can be expressed as m1*v1 + m2*v2 = (m1 + m2)*vf, where m1 and m2 are the masses of the skier and the cat respectively, v1 is the velocity of the skier, and vf is the velocity of the skier and the cat after the collision.

The kinetic energy converted to internal energy in the Earth reference frame can be determined by applying the law of conservation of momentum.

The amount of kinetic energy converted to internal energy can be calculated as follows:

m1*v1 = (m1 + m2)*vf

vf = (m1*v1)/(m1 + m2)

KE = (1/2)*m2*v2²

KE converted = KE initial - KE final

KE converted = (1/2)*m2*v2² - (1/2)*m2*((m1*v1)/(m1 + m2))²

KE converted = (1/2)*m2*v2² - (1/2)*m2*((60*15)/(60 + 5))²

KE converted = (1/2)*5*3.8² - (1/2)*5*(15²/65)

KE converted = 28.8 - 22.15

KE converted = 6.65 J

The velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat's kinetic energy does not change is equal to the velocity of the skier before the collision.

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A 150kg diver jumps off a diving board and hits the water at 40 m/s
What is the kinetic energy of the diver entering the water?

Answers

When the diver enters the water, the kinetic energy is 120,000 J.

This is an exercise in kinetic energy, which is a form of energy associated with the movement of an object and its speed. It is important in many areas of physics, from classical mechanics to modern physics. This form of energy can be transformed into other forms of energy, such as thermal energy, sound energy or electrical energy. The formula for calculating kinetic energy is KE = m * v^2/2, where m is the mass of the object and v is its speed.

Kinetic energy is a fundamental concept in classical mechanics. It is used to analyze the movement of objects and calculate the amount of work required to stop them. When an object is in motion, it has kinetic energy, which is equal to half its mass times its speed squared. If the object collides with another object, some of its kinetic energy is transferred to the second object in the form of work or heat.

Kinetic energy is also important in modern physics. In Einstein's theory of special relativity, the mass of a moving object increases with its speed, which means that its kinetic energy also increases. In fact, the kinetic energy of a moving object is a form of energy that is included in Einstein's famous equation E=mc^2, where E is the energy, m is the mass of the object, and c is the speed of light. . This equation shows how the mass of an object and its energy are related.

Kinetic energy is also important in quantum physics. In quantum mechanics, particles have a property called momentum, which is a measure of their motion. Momentum and kinetic energy are related, and experiments in quantum physics often measure the momentum and kinetic energy of particles.

It tells us that the diver has a mass of 150 kg, and that he jumps from a diving board into the water at a speed of 40 m/s.

They ask us what is the kinetic energy of the diver who enters the water?

We know that the formula for kinetic energy is:

KE = m * v^2/2. We should not do the formula clearance, because we are going to calculate the kinetic energy.

We already know our data from the formula, now we substitute and solve, then

KE = (m × v²)/2

KE = (150 kg × (40 m/s)²)/2

KE = (150 kg × 1600 m²/s²)/2

KE = 120000 J

When the diver enters the water, the kinetic energy is 120,000 J.

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KINETIC ENERGY

Answer:

The kinetic energy of the diver entering the water is 120,000 Joules.

Explanation:

The kinetic energy (KE) of an object is given by:

\(\sf\qquad\dashrightarrow KE = \dfrac{1}{2} * m * v^2\)

where:

m is the mass of the objectv is its velocity.

Plugging in the given values, we get:

\(\sf\qquad\dashrightarrow KE = \dfrac{1}{2} * 150\: kg * (40\: m/s)^2\)

\(\sf\qquad\dashrightarrow KE = \dfrac{1}{2} * 150\: kg * 1600\: m^2/s^2\)

\(\sf\qquad\dashrightarrow KE = \boxed{\bold{\:\:120,000\: J\:\:}}\)

Therefore, the kinetic energy of the diver entering the water is 120,000 Joules.

If a cyclist is traveling along a road due east at 12km/h and wind is blowing from south-west at 5km/h. find the velocity of the wind relative to the cyclist.​

Answers

The velocity of the wind with respect to the cyclist is 9.173 m/s its direction is 67.33⁰ from the southeast.

What is Triangle law?

It states that "when two vectors are represented in a direction and magnitude by two sides of a triangle in the same order then its results will be represented in magnitude and direction of the closing side of the triangle in the opposite order."

then the resultant will be calculated as:

R= \(\sqrt{F1^{2} +F2^{2} +2F1F2cos\alpha }\)

Here in the given question

F1= -12m/s because the wind is opposing the cyclist who is moving with 12m/s so its direction is now east to west.

F2=5m/s

here angle between the two vectors is =45 degrees

now resultant of the vectors are

Vwc=\(\sqrt{(-12^{2}+5^{2} -2*12*5cos(45) }\)

=9.173km/h

Its direction will be applying sine the law

\(\frac{sin(45)}{9.173} =\frac{sine(\alpha) }{12}\)

\(\alpha =\)67.67⁰

now \(\beta =180-75-67.67\)

=67.33⁰

Hence the velocity of wind w.r.t. cyclist is 9.173m/s and its direction is towards the southeast.

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If a cyclist is traveling along a road due east at 12km/h and wind is blowing from south-west at 5km/h.

When a ray of light traveling in air hits a tilted plane parallel slab (of glass, say), it emerges parallel to the original ray but shifted transversely. Carefully draw out the situation and use Snell’s law to derive the amount of the transverse shift, x, as a function of the tilt angle of the slab, θ, its thickness, d, and its index of refraction, n. Find the exact expression with no approximations. We recommend you do this out all in variables because it's a useful formula to have. Also, you will want this for the following questions. However, since the auto-grader has difficulty with these formulas, use n=1.5, d=1.0 cm, and θ = 45° and enter a numerical answer. Give your answer in cm to two significant figures.

Answers

Answer:

  x =  0.4654 cm

Explanation:

In this exercise we use the law of refraction

           n₁ sin θ₁ = n₂ sin θ₂

apply this formula to the first surface, where n₁ is the index of refraction of air (n₁ = 1) and n₂ is the index of refraction of glass (n₂ = n)

            θ₂ = sin⁻¹ (sin θ₁ / n)         (1)

having this angle we use trigonometry to find the value of the point where it comes out when we reach the other side

refracted ray

            tan θ₂ = x₂ / d

            x₂ = d tan θ₂

this value is the distance displaced by the refracted ray

now let's find the distance at which the incident beam should exit

           tan θ₁ = x₁ / d

           x₁ = d tan θ₁

the displacement of the ray is the difference between these two distances, we will call it x

           x = x₁ - x₂

            x = d tan θ₁ - d tan θ₂

           x = d (tan θ₁ - tan θ₂)        (2)

the easiest way to do the calculations is to find tea2 from the binding 1 and then perform the calculation with equation 2

calculate

            θ₂ = sin⁻¹ (sin 45 /1.5)

             θ₂ = 28.13º

             x = 1.0 (tan 45 - tan 28.13)

             x =  0.4654 cm

When a ray of light traveling in air hits a tilted plane parallel slab (of glass, say), it emerges parallel

You see a boat sitting at the end of a dock. Ten minutes later you see the same boat in a cove to the right of the dock. You did not see the boat move.
However, you know that the boat moved because its
relative to the dock changed.

Answers

The boat must have moved, despite not being seen to move, because its relative position to the dock has changed. This phenomenon is known as relative motion .

Everything is always in motion, but the way we perceive it depends on our frame of reference.

In this scenario, the dock was the frame of reference for the initial position of the boat. When the boat moved to the cove, its position relative to the dock changed, and the dock was no longer an appropriate frame of reference. The boat's motion is now relative to the cove instead.

It is important to note that relative motion depends on the chosen frame of reference. If we were to choose the boat as the frame of reference, then it would be the dock that appears to move, not the boat. This is because motion is always relative to a chosen frame of reference.

In conclusion, the boat must have moved because its position relative to the dock changed. The concept of relative motion reminds us that motion is always relative to a chosen frame of reference, and that the way we perceive motion depends on our chosen frame of reference.

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