15. Calculate if a sonar signal takes 5 seconds to return to a ship, what is the depth of the
ocean at that point? (speed of sound: 1.5 x 10³ m/s)
Answers
Since the sonar signal takes 5 seconds to return to a
the ship, the depth of the ocean at that point is 3750 meters.
Step by step explanationThe sonar signal travels from the ship to the ocean floor and back. Let's assume that the signal travels at a constant speed, which is the speed of sound in water.
The total distance traveled by the sonar signal is twice the depth of the ocean at that point. We can use the formula:
distance = speed x time
where distance is the total distance traveled by the sonar signal, speed is the speed of sound in water, and time is the time it takes for the signal to travel from the ship to the ocean floor and back.
We can rearrange the formula to solve for depth:
depth = distance/2
Substituting the given values, we have:
distance = speed x time
distance = 1.5 x 10³ m/s x 5 s
distance = 7500 m
depth = distance/2
depth = 7500 m/2
depth = 3750 m
Therefore, the depth of the ocean at that point is 3750 meters.
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Related Questions
10 g of dry ice (solid CO2) is placed in a 10,000 cm^3 container and the air is quickly pumped out and the container sealed. The container is warmed to 0 degrees celcius, a temperature at which the CO2 is a gas. (A) what is the pressure of the container? give your answer in atm. (B) The gas then undergoes an isothermal compression until the pressure is 3.0 atm. Immediately following, there is an isobaric compression until the volume is 1000 cm^3. What is the final temperature of the CO2 gas (in celcius)? (C) show the process on a pV diagram.
Answers
The pressure of the container is 0.049 atm at 0 °C. B) The final temperature of the CO2 gas is 1398.45 °C. The process is shown on a pV diagram as an isothermal compression followed by an isobaric compression.
The number of moles of CO2 in the container is
n = m/M = 10 g / 44.01 g/mol = 0.227 moles
Using the ideal gas law:
PV = nRT
Where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. At 0°C (273.15 K), the pressure is
P = nRT/V = (0.227 moles)(0.08206 L.atm/mol.K)(273.15 K)/(10000 cm^3) = 0.049 atm
Therefore, the pressure of the container is 0.049 atm.
Since the compression is isothermal, the temperature remains constant at 0°C (273.15 K). Using the ideal gas law again
P1V1 = P2V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. We know that P1 = 0.049 atm, V1 = 10,000 cm³, P2 = 3.0 atm, and V2 is unknown. Solving for V2:
V2 = P1V1/P2 = (0.049 atm)(10,000 cm³)/(3.0 atm) = 163.3 cm^3
The gas then undergoes an isobaric (constant pressure) compression until the volume is 1000 cm³. Since the pressure is constant, the ideal gas law becomes
V1/T1 = V2/T2
Where T1 and V1 are the initial temperature and volume, and T2 and V2 are the final temperature and volume. We know that V1 = 163.3 cm^3, V2 = 1000 cm³, T1 = 273.15 K, and T2 is unknown. Solving for T2:
T2 = T1V2/V1 = (273.15 K)(1000 cm³)/(163.3 cm³) = 1671.6 K
Converting to Celsius
T2 = 1671.6 K - 273.15 = 1398.45°C
Therefore, the final temperature of the CO2 gas is 1398.45°C.
On a pV diagram, the process is isothermal expansion at 0°C, isothermal compression at 0°C and isobaric compression to a volume of 1000 cm³
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According to Jean Piaget, unrealistic idealism often occurs in adolescence as a result of __________. Rational thought egocentrism environmental conditions lack of education.
Answers
According to Jean Piaget, unrealistic idealism often occurs in adolescence as a result of egocentrism. The inability to distinguish between self and others is referred to as egocentrism.
What is egocentrism?The inability to distinguish between self and others is referred to as egocentrism. It is, more precisely, the incapacity to effectively assume or comprehend any viewpoint other than one's own.
Egocentrism may be present in every stage of life, including childhood, adolescence, and maturity.
Hence option B is correct. According to Jean Piaget, unrealistic idealism often occurs in adolescence as a result of egocentrism.
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Answer:
egocentrismgot it right⬇️✅
Happy Gilmore hits a golf ball off a tee at an angle of 25 degrees and a velocity of 98
m/s. What are the horizontal and vertical velocities of the ball as it comes off the club?
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Answers
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Johnny pushes on a wall with a force of 75N for one hour. Is there work being done? (Explain in simple words please lol . But fr tho SOMEBODY HELPP I CANT FAIL THIS)
Answers
Answer:
No, work isn't being done by Johnny.
Explanation:
Work can be defined as the energy transferred to a physical object by exertion of a force on the object to cause a displacement of the object. Thus, work is typically done when a person or simple machine move an object over a distance through the application of a force.
Mathematically, work done is given by the formula;
Work done = force * distance
\( W = F * d\)
Where,
W is the work done
F represents the force acting on a body.
d represents the distance covered by the body.
In this scenario, Johnny's push didn't cause a displacement of the wall and as such no work is done.
A high-speed transmission medium that uses a protected string of glass to transmit beams of light.a. Trueb. False
Answers
A high-speed transmission medium that uses a protected string of glass to transmit beams of light.
Correct answer is, True.
This refers to fiber optic cables, which use glass or plastic fibers to transmit light signals at high speeds and are protected by a sheath or jacket., faster speeds, and resistance to electromagnetic interference.
This statement accurately describes fiber-optic cables, which are high-speed transmission mediums that use glass or plastic fibers to transmit light signals. Fiber-optic cables have several advantages over traditional copper cables, including higher bandwidth.
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which quantum numbers are needed to define an orbital
Answers
The integers 0, 1, 2, 3, and so on are the three quantum numbers (n, l, and m) that describe an orbital. There can be no zero for the main quantum number (n). Therefore, the permitted values for n are 1, 2, 3, 4, and so forth. Any integer between 0 and n – 1 can serve as the angular quantum number (l).
To define, how often quantum numbers are needed?
The primary, azimuthal, magnetic, and rotational quantum numbers are the four types of quantum numbers. Quantum numbers provide the values of a quantum system's preserved quantities.
What number of quantum numbers define an electron and its orbital?There are four separate quantum numbers that describe each electron in an atom. The fourth (m-s) defines the maximum number of electrons that can occupy the orbital, whereas the first three (n, l, and m) specify the specific orbital of interest.
How many sets of four quantum numbers are there that an electron can have?Each electron in a system with multiple electrons has a different collection of four quantum numbers. As a result, the system He2 possesses four electrons and four different sets of the four quantum numbers.
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a driver is going at 120km h and sees a barrier 60.0 m ahead it takes 5secounds to apply the brakes and decelerates at 12m does the driver hot the barrier
Answers
Answer:
yes, if you're going at 120 km and you saw the wall that late then it wouldn't me possible to decrease 12 meters in 5 seconds and not hit the wall that's only 60 meters away
Explanation:
To which of the following quantities, the radius of the circular path of a charged particle moving at right angles to a uniform magnetic field is directly proportional?
Answers
The radius of the circular path of a charged particle moving at right angles to a uniform magnetic field is directly proportional to the magnitude of the particle's momentum.
Hence, the correct option is D.
The radius of the circular path of a charged particle moving at right angles to a uniform magnetic field is directly proportional to the magnitude of the particle's momentum.
Mathematically, we can express this relationship as:
r ∝ p
Where:
r is the radius of the circular path,
p is the momentum of the charged particle.
This relationship can be derived from the equation for the centripetal force experienced by a charged particle moving in a magnetic field, given by:
F = qvB
where:
F is the centripetal force,
q is the charge of the particle,
v is the velocity of the particle,
B is the magnitude of the magnetic field.
Since the centripetal force is also equal to mv²/r, where m is the mass of the particle, we can equate these two expressions:
mv²/r = qvB
Simplifying the equation, we find:
mv = qBr
From this equation, we see that the radius of the circular path (r) is directly proportional to the momentum of the charged particle (mv), which is a product of the mass and velocity.
Hence, the correct option is D.
The given question is incomplete and the complete question is '' To which of the following quantities, the radius of the circular path of a charged particle moving at right angles to a uniform magnetic field is directly proportional ?
A. energy of the particle
B. magnetic field
C. charge of the particle
D. momentum of the particle.''
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skills needed in agawang panyo
Answers
Answer:
they are;at first its teamwork,then agility and quick thinking
an automobile with a mass of 1000kg, including passengers, settles 1cm closer to the ground for every additional 100kg of passengers. it is driven with a constant horizontal speed of 20km/h over a washboard road with sinusoidal bumps. the amplitude and wavelength of the sinusoidal bumps are 5cm and 20 cm respectively. find the amplitude of oscillations of the automobile, assuming it moves vertically as an undamped driven harmonic oscillator. neglect the mass of the wheels, springs, and assume the wheels are in permanent contact with the road.
Answers
The amplitude of oscillations of the automobile can be calculated using the formula: A = (m * g * h) / (k + m * w^2)
where:
m = 1000 kg (mass of the automobile including passengers)
g = 9.8 m/s^2 (acceleration due to gravity)
h = 5 cm = 0.05 m (amplitude of the sinusoidal bumps)
k = effective spring constant of the suspension system
w = 2 * pi * f
= 2 * pi * v / lambda
= 2 * pi * 20 / 20
= 2 * pi (frequency of the bumps, v is the speed of the car, lambda is the wavelength)
We don't have the value for k,
so we can assume it to be a constant value for all cars.
Therefore, the amplitude of oscillations can be calculated as:
A = (1000 kg * 9.8 m/s^2 * 0.05 m) / (k + 1000 kg * (2 * pi)^2)
This value will give us the maximum vertical displacement of the car from its mean position.
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Select the compensator zero to cancel one pole of GHP(z) {other than z=1}. α = Determine 3 based on the angle condition: zeros - 4poles = 180° You need to draw a figure as the Figure below to calculate ß = Im z-plane z = a + ib Zero of GHP(Z) Zzero Zpole(B) 0 B Figure: Determine ß Zpole(1) pole 1 of GHP(z) Re
The angle condition is: Zzero- (pole(1) + 4pole(B))= 180º Zzero = Zpole(1) = Zpole(B) = Determine the compensator gain k based on magnitude condition: z-α Gc (2) GHP (2)|2=a+ jb = 1 → k Ghp(2) = 1 z-ß |z=a+jb 1 k z-α GHP(z) |z-ß |z=a+jb Write down the final compensator (PID Controller) transfer function Gc(z)=kz-a z-ß
Answers
Analyze system dynamics and design compensator to achieve desired response by selecting compensator zero and canceling one pole of GHP(z).
How to select the compensator zero cancel one pole of GHP(z)?To select a compensator zero to cancel one pole of GHP(z), we need to use the given angle condition:
Zzero - (pole(1) + Zpole(B)) = 180°
Here, Zzero represents the compensator zero, pole(1) represents the first pole of GHP(z), and Zpole(B) represents the compensator pole.
Let's proceed with the solution step by step:
1. First, we need to determine the value of Zzero. The angle condition states that Zzero = Zpole(1), which means the compensator zero is equal to the first pole of GHP(z).
2. Now, we need to find the value of Zpole(B). We can rewrite the angle condition as follows:
Zpole(B) = Zzero - pole(1) + 180°
Since we already know that Zzero = Zpole(1), we can substitute Zzero in the above equation:
Zpole(B) = Zpole(1) - pole(1) + 180°
Simplifying further:
Zpole(B) = 180°
Therefore, the value of Zpole(B) is 180°.
To summarize, we can select the compensator zero (Zzero) to cancel one pole of GHP(z) as Zpole(1), and the compensator pole (Zpole(B)) is determined to be 180° based on the given angle condition.
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a student missed a lab investigating the behavior of multiple capacitors in circuits. classmates gave the student the above data that show the charge on the equivalent capacitance in a circuit as additional identical capacitors are added to the circuit, but the classmates did not indicate whether the capacitors were added in series or parallel. what evidence from the data can be used to determine whether the capacitors were added in series or parallel?
Answers
The fact that the charge rises as the number of capacitors is increased is proof. Option B is right, so.
Can the addition of the capacitors in series or parallel be determined using evidence from the data?
A student didn't show up for a lab looking at how numerous capacitors behave in circuits. Students in the class supplied the student the information above, which illustrates the effect of adding more identical capacitors to a circuit on its equivalent capacitance, but they did not specify if the capacitors were increased.
Can it be determined whether the capacitors was added in parallel or series using evidence from the data?
A. As capacitors are added, the charge changes.
B. With each subsequent capacitor, the charge doubles.
C. As capacitors are added, the charge grows.
D. There is no evidence in the data to support how the capacitor were added.
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find the direction of the dune of these two vectors
Answers
Given:
Vector A = 63.5 m at 90 degrees
Vector B = 101 m at 57.0 degrees
Let's find the direction of the sum of these two vectors.
To find the direction, let's first find the x- and y-components of the vectors.
• Vector A:
\(\begin{gathered} A_x=65.3cos90=0\text{ m} \\ A_y=63.5sin90=63.5\text{ m} \end{gathered}\)• Vector B:
\(\begin{gathered} B_x=101cos57.0=55\text{ m} \\ B_y=101sin57=84.7\text{ m} \end{gathered}\)For the sum of components, we have:
x = Ax + Bx = 0 + 55 = 55 m
y = Ay + By = 63.5 + 84.7 = 148.2 m
Now, to find the direction of the sum, we have:
\(\theta=tan^{-1}(\frac{y}{x})\)Plug in the values and solve for θ.
We have:
\(\begin{gathered} \theta=tan^{-1}(\frac{148.2}{55}) \\ \\ \theta=69.6^o \end{gathered}\)Therefore, the direction of the sum of the vectors is 69.6 degrees.
ANSWER:
69.6 degrees.
A 40.0-kilogram child exerts a 100.-newton force on a 50.0-kilogram object. The magnitude of the force that the object exerts on the child is
answer choices
- 0.0 N
- 80.0 N
- 100. N
- 125 N
Answers
The magnitude of the force that the object exerts on the child is 100 N.
option C is the correct answer.
What is Newton's third law of motion?
Newton's third law of motion states that for every action there is an equal and opposite reaction. In other words, action and reaction are equal and opposite.
Mathematically, Newton's third is given as;
Fa = Fb
where;
Fa is the applied forceFb is the reaction experienced by the objectIf the child exerts 100 N force on the object, the reaction of the object or the upward force exerted on the child by the object is 100 N in opposite direction.
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The latent image in a flat-panel detector is formed by which of the following?A. Trapped electronsB. Charged capacitorsC. Electrical resistanceD. Detector elements
Answers
The latent image in a flat-panel detector is formed by A. Trapped electrons.
The latent image in a flat-panel detector is formed by trapped electrons.
A flat-panel detector is a type of digital X-ray detector that is commonly used in medical imaging. It consists of an array of detector elements, also known as pixels, that convert X-rays into electrical signals. These electrical signals are then processed to produce a digital image.
When X-rays pass through the detector material, they interact with atoms in the material, causing the release of electrons. These electrons are then trapped in the detector material, creating a temporary electrical charge in the pixels. This charge distribution forms the latent image.
After the exposure is complete, the electrical charges in the pixels are read out and processed to produce the final image. This is done by applying a voltage to the pixels, which causes the trapped electrons to be released and flow to a readout circuit. The amount of charge that is read out is proportional to the X-ray dose that was absorbed by the pixel.
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If there are 3 apples and you take away two, how many do you have?
Answers
Answer:
1
Explanation:
Answer:
You have 1 apple.
Explanation:
3 - 2 = 1
In a skateboard race, the winner covered 26 meters in 3.88 seconds . What was his speed?
Answers
Which of these statements is true about a 'Goldilocks zone'?
1.The distance away from any star where the temperature would allow water to be a
liquid
2.A habitat anywhere in space where life can exists
3.The distance away from our sun where it is too hot or too cold for life to exist
4. A place in a solar system where it is possible for bears to live.
Answers
Answer:
3.the distance away from the sun where it to hot or too cold for life to exist
hi can someone pls answer my question. i srsly need it
*with complete solution pls :(
Answers
Apply mirror formula
\(\\ \tt\longmapsto \dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\)
\(\\ \tt\longmapsto \dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\)
\(\\ \tt\longmapsto \dfrac{1}{v}=\dfrac{1}{10}-\dfrac{1}{-5}\)
\(\\ \tt\longmapsto \dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{5}\)
\(\\ \tt\longmapsto \dfrac{1}{v}=\dfrac{1+2}{10}\)
\(\\ \tt\longmapsto \dfrac{1}{v}=\dfrac{3}{10}\)
\(\\ \tt\longmapsto v=\dfrac{10}{3}\)
\(\\ \bf\longmapsto v=3.3cm\)
Now
\(\\ \tt\longmapsto m=\dfrac{-v}{u}=\dfrac{-3.3}{-5}=\dfrac{3.3}{5}=0.6\)
Now
\(\\ \tt\longmapsto m=\dfrac{h'}{h}\)
\(\\ \tt\longmapsto h'=mh \)
\(\\ \tt\longmapsto h'=0.6(3.3)\)
\(\\ \tt\longmapsto h'=1.98cm\)
Which principle states that the net electrical force on a specific charge is equal to the sum of the vector components of the charges applying forces on it?
angle principle
summation principle
superposition principle
vector principle
Answers
Answer:
C. The superposition principle
Explanation:
:)
Answer:
C
Explanation:
J took the test
Drag the labels to the image. Each label can be used more than once.
The image shows the path of a ball from the time it's thrown to the time it lands on the ground. Determine the kind of energy the ball has at each
position. (PE stands for gravitational potential energy, and KE stands for kinetic energy.)
Answers
Following the image of the ball that have been shown;
1. Potential energy
2. Kinetic energy
3. Kinetic energy
4. Potential energy
5. Kinetic energy
6. Kinetic energy
7. Kinetic energy
What is the type of energy?
Due to its position or elevation, an object has potential energy while it is at rest or is elevated above the ground. Depending on the circumstances, this potential energy may either be elastic or gravitational.
Kinetic energy, or the energy connected to motion, is present when an item is in motion. An object's kinetic energy is determined by its mass and velocity .
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Answer:
1: Potential and kinetic
2: Potential and kinetic
3: Potential and kinetic
4: potential
5: Potential and kinetic
6: Potential and kinetic
7: NEITHER
Explanation:
4 is potential because its the highest point
7 is neither because the question states "the image shows the path of a ball from the time it's thrown to the time it lands on the ground" so... 7 is when the ball has landed on the ground. therefore it has neither potential nor kinetic because it is resting.
what is the resistance of a 60 w incandescent lamp connected to a 120v power supply
Answers
The resistance of a 60 W incandescent lamp connected to a 120 V power supply is approximately 240 Ω.
To determine the resistance, we can use Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by current (I). In this case, we have the power (P) and voltage (V) values.
Since power is equal to voltage multiplied by current (P = V * I), we can rearrange the equation to solve for current: I = P / V. Plugging in the values, we get I = 60 W / 120 V = 0.5 A. Finally, using Ohm's Law (R = V / I), we can calculate the resistance: R = 120 V / 0.5 A = 240 Ω.
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Design a diagram, sketch, or other model to show changes in the nucleus of an atom during nuclear fission and fusion. Include a short description and a way to compare the amounts of energy released in each event
Answers
Explanation:
Inside the sun, fusion reactions take place at very high temperatures and enormous gravitational pressures
The foundation of nuclear energy is harnessing the power of atoms. Both fission and fusion are nuclear processes by which atoms are altered to create energy, but what is the difference between the two? Simply put, fission is the division of one atom into two, and fusion is the combination of two lighter atoms into a larger one. They are opposing processes, and therefore very different.
The word fission means "a splitting or breaking up into parts" (Merriam-Webster Online, www.m-w.com). Nuclear fission releases heat energy by splitting atoms. The surprising discovery that it was possible to make a nucleus divide was based on Albert Einstein’s prediction that mass could be changed into energy. In 1939, scientist began experiments, and one year later Enrico Fermi built the first nuclear reactor.
What is the volume of 810 g of aluminium?
Answers
Answer:8.1g
Explanation:
Explanation:
you can find by using. volume = mass/ density of aluminium.
A body pulled over a distance of 500m by a force of 20N. If the power developed is 0.4kw calculate the time intervertebral during which the force is applied
Answers
Answer:25 seconds
Explanation: Power equals work/time or force*displacement/time.
So, in this case the force is 20N and the displacement is 500m so the work is 10,000N.
We know the power equals 0.4KW (which equals 400W). Plugging these values into the equation:
400=10,000/T
T=25s
For point particle rotation, when particle is initially moving, angular momentum can be expressed as
Answers
For point particle rotation, when the particle is initially moving, the angular momentum can be expressed as the product of the particle's moment of inertia and its angular velocity.
For point particle rotation, when the particle is initially moving, the angular momentum can be expressed as the product of the particle's moment of inertia, which is a measure of its resistance to rotation, and its angular velocity, which is the rate at which it is rotating around a fixed axis.
Mathematically, this can be written as L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
The conservation of angular momentum is a fundamental principle in physics, which states that in the absence of external torques, the total angular momentum of a system remains constant.
For a point particle initially moving, the angular momentum can be expressed as:
Angular Momentum (L) = r × p
Where:
- L is the angular momentum of the point particle,
- r is the position vector of the particle relative to the rotation axis,
- p is the linear momentum of the particle (which can be expressed as p = mv, where m is the mass of the particle and v is its velocity),
- × denotes the cross product.
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at nasa zero gravity research facility in cleveland, ohio, experimental payloads fall freely from rest in an evacuated vertical shaft through a distance of 132 m.(a)if a particular payload has a mass of 45 kg, what is its potential energy relative to the bottom of the shaft?(b)how fast will the payload be traveling when it reaches the bottom of the shaft? convert your answer to mph for a comparison to highway speeds
Answers
A. The potential energy of the payload relative to the bottom of the shaft is equal to the product of the payload's mass and the gravitational acceleration, multiplied by the height of the shaft: PE = mgh = (45 kg)(9.81 m/s2)(132 m) = 58,158 J.
What is potential energy?Potential energy is the stored energy of an object due to its position or condition. It is the ability of an object to do work, based on its position or state. Potential energy is the energy held by an object because of its position relative to other objects or a force, such as gravity. When an object is held above the ground, it has potential energy because of the force of gravity acting on it. If a book is resting on a shelf, it has potential energy because of its position.
B. The payload's speed at the bottom of the shaft is equal to the square root of 2 times the gravitational acceleration multiplied by the height of the shaft: v = √2gh = √2(9.81 m/s2)(132 m) = 44.7 m/s. This converts to about 101 mph.
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Which of the following is accounted for as a change in accounting principle?
Answers
A change in accounting principle refers to a change in the specific method, principle, or basis used to prepare financial statements.
Among the given options, the following would be accounted for as a change in accounting principle:
1. Switching from the cash basis of accounting to the accrual basis of accounting: The cash basis recognizes revenue and expenses when cash is received or paid, while the accrual basis recognizes revenue when earned and expenses when incurred.
2. Changing from FIFO (First-In, First-Out) method to LIFO (Last-In, First-Out) method for inventory valuation: FIFO assumes that the first items purchased are the first ones sold, while LIFO assumes that the last items purchased are the first ones sold.
3. Adopting a new revenue recognition standard: If a company adopts a new revenue recognition standard, such as transitioning from recognizing revenue at the point of sale to recognizing revenue over time, it would be considered a change in accounting principle.
4. Implementing a new depreciation method: If a company changes its depreciation method, such as switching from straight-line depreciation to accelerated depreciation , it would be considered a change in accounting principle.
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The above mentioned question is incomplete. The complete question is:
Which of the following is accounted for as a change in accounting principle?
A. Change in estimates
B. Change in accounting estimate
C. Change in accounting principle
D. Change in reporting entity
In the graph, the dotted line represents potential energy and the solid line represents kinetic energy.
Determine which senario bests fits the graph.
A. a car accelerating on the highway.
B. a rollercoaster at the end of the ride.
C. a car coming to a red light on a highway.
D. a roller coaster on a low-friction track.
Answers
Answer: D
Explanation: The roller coaster gains and loses kinetic energy throughout the ride.
5. There is a bell at the top of a tower that is 45 m high. The bell's mass is 200 kg. The bell has energy. Calculate it.
45000
900000 J
9000 J
88200 J
Answers
Answer:
Explanation:
Since the bell is at rest in an elevated position, we can assume that it only has potential energy.
U=mgh is the formula for potential energy where U=potential energy, m= mass, g=acceleration due to gravity, and h=height.
Plug in known variables....
U=200kg*9.8m/s^2*45m
U=88200 joules of potential energy or letter D.