Answers
Given:
L=length,
W =width,
H = height,
R = radius,
m = mass,
g = acceleration due to gravity.
To find:
The correct formula for the pressure among the given choice.
Explanation:
The pressure is defined as the force per unit area. Thus the pressure is given by the ratio of the force applied to the area for which the force is applied.
Thus,
\(P=\frac{F}{A}\)Where F is the force applied and A is the area.
The weight is a force and is given by the product of the mass of the object and the acceleration due to gravity.
That is weight is given by,
\(F=mg\)The area is given by the product of the length and the width.
Thus the area is given by,
\(A=L\times W\)Thus the pressure is given by,
\(P=\frac{mg}{L\times W}\)Final answer: Thus the correct answer is option C,
\(P=\frac{mg}{(L\times W)}\)Related Questions
we can find the current, i, in the circuit by using ohm's law (generalized for alternating currents), v
Answers
The current, i, in the circuit by using ohm's law (generalized for alternating currents), v is \(\begin{aligned}& I= \\& \quad 0.4000+0.8000 i\end{aligned}\)
What is circuit?
An electronic circuit is composed of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow.
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Which of the following statements about electromagnetic radiation it true? A.electromagnetic waves with long wavelength are more energetic then electromagnetic waves with short wavelength. B.all electromagnetic radiation carries the same amount of energy. C.electromagnetic radiation in a vacuum can change frequently to become more or less energetic. D.electromagnetic waves with high frequency are more energetic then electromagnetic waves with low frequency
Answers
Given what we know, we can confirm that option D, Electromagnetic waves with high frequency are more energetic than electromagnetic waves with low frequency is true.
Why are high-frequency waves more energetic?High-frequency waves are synonymous with short wavelengths. This means that the waves are oscillating much quicker and therefore carry more kinetic energy within them. This is transformed and released as electromagnetic radiation, which is the reason why high-frequency waves are more energetic than low-frequency electromagnetic waves.
Therefore, we can confirm that the statement "Electromagnetic waves with high frequency are more energetic than electromagnetic waves with low frequency" is true.
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How can a hockey puck explain the transfer of kinetic energy? **Select all that apply.**
A. Kinetic energy transfers through air when materials are close.
B. Kinetic energy is lost when it transfers between materials.
C. Energy transfers from materials through touch.
D. Kinetic energy can move from one item to another.
Answers
27/13 AL + 4/2 He -> ? + 1/On
Please help!!!!!! What’s the missing species???
Answers
The missing species of the nuclear reaction obtained is ³⁰₁₅P
How do i determine the missing species?The missing species of the equation can be obtain as follow:
Let the missing species be ʸₓZNow, we can obtain the value of x, y and Z as follow:
²⁷₁₃Al + ⁴₂He -> ʸₓZ + ¹₀n
For x
13 + 2 = x + 0
15 = x
x = 15
For y
27 + 4 = y + 1
31 = y + 1
Collect like terms
y = 31 - 1
y = 30
For Z
ʸₓZ => ³⁰₁₅Z
From the period table, the element with atomic number of 15 is phosphorus, P. Thus, we have
ʸₓZ => ³⁰₁₅Z => ³⁰₁₅P
Therefore, we can write the complete equation as:
²⁷₁₃Al + ⁴₂He -> ³⁰₁₅P + ¹₀n
Thus, the missing species is ³⁰₁₅P
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Tom applied 10 000J of heat energy to four (4) metals A, B, C and D. All the metals were of the same mass and were initially at the same temperature. After heating the metals the temperature change was noted as shown in the table below. Metal 9 A.25 B.35 C.10 D.15 Which of these four (4) metals has the highest heat capacity?
Answers
The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.
How to determine heat capacity?Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.
Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.
Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
Answers
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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What velocity must a car with a mass of 1370kg have in order to have the same momentum as a 2280kg pickup truck traveling at 21m/s to the east
Answers
The velocity of the car along east direction must be 34.94 m/s.
What is momentum?In physics momentum of any object can be defined as product of velocity and mass. As velocity is a vector quantity, momentum is also a vector quantity. So, to define momentum both magnitude and direction are required. SI unit of momentum is kg-m/s.
Mass of the car = 1370 kg.
Mass of the pickup truck a = 2280 kg
Momentum of the pickup truck along east = 2280 kg × 21 m/s
= 47880 kg-m/s.
Hence, velocity of the car along east direction = (47880/1370) m/s
= 34.94 m/s.
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Electric field lines never cross. Is this true or false?
Answers
The definition of electric field lines states that these are lines of constant potential, that is, each line has a value of electric potential.
If two different lines would cross, that means there would be a point in space with two values of potential, which is impossible.
Therefore the statement that these lines never cross is TRUE.
As part of astronaut training, a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.8 times the acceleration due to gravity on the surface of the earth. If the candidate is 11.05 m from the center, determine the candidate's speed in meters per second.
Answers
The candidate's speed (m/s), given that the candidate experiences a centripetal acceleration that is 2.8 times the acceleration due to gravity is 17.4 m/s
How do I determine the candidate's speed?We understood that the centripetal acceleration is related to speed and radius according to the following formula:
a = v² / r
Cross multiply
v² = ar
Take the square root of both sides
v = √ar
Where
v is the speeda is the centripetal accelerationr is the radiusWithe the above formula, we can determin the speed of the candidate. Details below:
Acceleration due to gravity (g) = 9.8 m/s²Centripetal acceleration = 2.8 × g = 2.8 × 9.8 = 27.44 m/s²Radius (r) = 11.05 mSpeed of candidate (v) =?v = √ar
v = √(27.44 × 11.05)
v = 17.4 m/s
Thus, the speed of the candidate is 17.4 m/s
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What is the strength of the electric field at the position indicated by the dot in (Figure 1)?
What is the direction of the electric field at the position indicated by the dot in (Figure 1)? Specify the direction as an angle measured clockwise from the positive x
axis.
Answers
At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.
Assuming that the two charges are of equal magnitude and opposite sign and that the distance between them is d, the electric field at the point indicated by the dot can be found using Coulomb's law:
\(E = kq/r^2\)
where k is Coulomb's constant (\(8.99 *10^9 N m^2/C^2\)), q is the magnitude of the charge, and r is the distance between the charges.
Since the charges are of equal magnitude, the net charge at the point indicated by the dot is zero, so we only need to consider the electric field due to one of the charges. Let's assume that we want to find the electric field due to the positive charge.
The distance between the positive charge and the point indicated by the dot is r = d/2. Therefore, the electric field at that point is:
\(E = kq/(d/2)^2 = 4kq/d^2\)
The direction of the electric field is radial, pointing away from the positive charge and toward the negative charge. At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.
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Two capacitors 6 micro farad and 8 micro farad are connected in parallel. The combination is then connected in series with a 12 V battery and 14 micro farad capacitor. What is the charge on the 6 micro farad capacitor?
Answers
The charge on the 6 μF capacitor is 10.29 μC.
What is the charge of capacitor?
The charge of a capacitor is the amount of electric charge stored on its plates due to the potential difference (voltage) between them. The charge is directly proportional to the capacitance and the voltage across the capacitor, according to the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.
First, we can calculate the equivalent capacitance of the two capacitors connected in parallel:
\(C_{parallel}\)= C1 + C2 = 6 μF + 8 μF = 14 μF
Next, we can calculate the total equivalent capacitance of the circuit, which is the capacitance of the parallel combination in series with the 14 μF capacitor:
1/\(C_{total}\) = 1/ \(C_{parallel}\) + 1/C3
1/\(C_{total}\) = 1/14 μF + 1/14 μF
1/\(C_{total}\) = 1/7 μF
\(C_{total}\) = 7 μF
Using the formula Q = CV, we can calculate the charge on the 6 μF capacitor:
Q = C × V = 6 μF × 12 V / 7 μF = 10.29 μC
Therefore, the charge on the 6 μF capacitor is 10.29 μC.
What is capacitance?
Capacitance is the ability of a capacitor to store electric charge when a voltage is applied across its terminals. It is defined as the ratio of the electric charge stored in the capacitor to the voltage applied to it, and its unit is the farad (F). A capacitor with a high capacitance value can store more charge for a given voltage than a capacitor with a lower capacitance value.
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The _________ rule says the ball must bounce one on each side before either team may start volleying the ball in the air. Double Bounce
Volley Bounce
Bounce
Two Bounce
Answers
Use the approximation that vavg = pf/m for each time step.
A paddle ball toy consists of a flat wooden paddle and a small rubber ball that are attached to each other by an elastic band (figure). You have a paddle ball toy for which the mass of the ball is 0.011 kg, the stiffness of the elastic band is 0.925 N/m, and the relaxed length of the elastic band is 0.255 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and bats the ball around, setting it in motion. At a particular instant the momentum of the ball is <−0.02, −0.01, −0.02> kg · m/s, and the moving ball is at location <−0.2, −0.61, 0> m relative to an origin located at the point where the elastic band is attached to the paddle. Define this instant as t = 0.
(a) Determine the position of the ball 0.1 s later, using a Δt of 0.1 s. (Express your answer in vector form.)
(b) Starting with the same initial position <−0.2, −0.61, 0> m and momentum <−0.02, −0.01, −0.02> kg · m/s, determine the position of the ball 0.05 s later. (Express your answer in vector form.)
(c) Using the position and momentum at t= 0.05 s, determine the position of the ball at t= 0.1 s. (Express your answer in vector form.)
Thank you.
Answers
Answer:(a) For the first time step, using Δt = 0.1s:
pf = m * vavg
vavg = pf/m
vavg = (<−0.02, −0.01, −0.02> kg · m/s) / 0.011 kg
To find the position at t = 0.1 s, we need to find the average velocity over the time interval, and multiply it by the time interval:
position = initial position + vavg * Δt
position = <−0.2, −0.61, 0> m + vavg * 0.1 s
(b) To find the position at t = 0.05s, repeat the same steps as in (a) but with Δt = 0.05s.
(c) To find the position at t = 0.1s, starting from the position and momentum at t=0.05s, repeat the same steps as in (a) and (b) with the new initial position and momentum value
Explanation:
How much pressure is on the bottom of a pot that holds 20N of soup? the surface area of the pot is 0.05m2
Answers
Answer:
400
Explanation:
Formula used in solution:
\(P = \frac{F}{A}\)
\(P - pressure,\: F - force,\: A - area\)
The given information:
\(F = 20N\)
\(A = 0.05m^{2}\)
Solution
\(P = \frac{F}{A} = \frac{20}{0.05} = 20 * 20 = 400\)
Answer:
\(Pressure = 400 \: Pascals\)
At a temperature of 300 K, the pressure of the gas in a deodorant can is 3 atm.
Calculate the pressure of the gas when it is heated to 900 K.
Answers
The pressure of the gas in the deodorant can when it is heated to 900 K is 9 atm.
What is the pressure of the gas when it is heated to 900 Kelvin?Gay-Lussac's law states that the pressure exerted by a given quantity of gas varies directly with the absolute temperature of the gas.
It is expressed as;
P₁/T₁ = P₂/T₂
From the data:
Initial pressure P₁ = 3 atmInitial temperature T₁ = 300 KFinal pressure P₂ = ?Initial temperature T₂ = 900 KWe substitute our values into the expression above and solve for final pressure.
P₁/T₁ = P₂/T₂
P₁T₂ = P₂T₁
P₂ = P₁T₂ / T₁
P₂ = ( 3 atm × 900 K ) / 300 K
P₂ = 9.0 atm
Therefore, the final pressure is 9.0 atm.
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A driver of an automobile travelling at a constant speed of 20m/s suddenly applies a brake and the automobile comes to rest in 2 seconds after skidding for a certain distance. What is the length of the skid distance? A. 400m B. 20m C. 40m D. 10m.
Answers
Answer:
20 meters
Explanation:
d = (1/2) * a * t^2
where:
d is the distance (skid distance),
a is the acceleration,
t is the time.
In this case, the automobile comes to rest, so the final velocity is 0 m/s. We know the initial velocity is 20 m/s, and the time is 2 seconds.
To find the acceleration, we can use the formula:
a = (final velocity - initial velocity) / time
a = (0 - 20) / 2 = -20 / 2 = -10 m/s^2
Substituting the values into the equation of motion:
d = (1/2) * (-10) * (2^2)
d = (1/2) * (-10) * 4
d = -20 meters
The length of the skid distance is 20 meters (option B).
A boat accelerates uniformly from rest to a speed of 10 m/s over a distance of 50 m. (a) Determine the acceleration of the bike. (b) how long will take to do that? ТУЛ in this 34 A boat accelerates uniformly from rest to a speed of 10 m / s over a distance of 50 m . ( a ) Determine the acceleration of the bike . ( b ) how long will take to do that ?
Answers
Answer:
See below
Explanation:
Average speed = (0+ 10)/2 = 5 m/s
then to cover 50 m will take 50 m / 5 m/s = 10 seconds
change in velocity/ change in time = acceleration = 10/10 = 1 m/s^2
Two gliders collide on an air track. Glider 1 has a mass of 7.0 kg, and glider 2 has a mass of 4.0 kg. Before the collision, glider 1 had a velocity of 2.0 m/s, and glider 2 had a velocity of -5.0 m/s. If the collision is perfectly elastic, what is the total kinetic energy of both gliders after the collision?
A. -36.0 J
B. 36.0 J
C. 64.0 J
D. 128.0 J
Answers
Answer:
Its C
Explanation:
My teacher did it for me and it was right.
Two planets, Dean and Sam, orbit the Sun. They each have with circular orbits, but orbit at different distances from the Sun. Dean orbits at a greater average distance than Sam. According to Kepler's Third Law, which planet will have a longer orbital period? Group of answer choices Dean Sam Since they both have circular orbits, they will have the same orbital periods. There isn't enough information to tell.
Answers
Answer:
The correct answer is Dean has a period greater than San
Explanation:
Kepler's third law is an application of Newton's second law where the force is the universal force of attraction for circular orbits, where it is obtained.
T² = (4π² / G M) r³
When applying this equation to our case, the planet with a greater orbit must have a greater period.
Consequently Dean must have a period greater than San which has the smallest orbit
The correct answer is Dean has a period greater than San
Answer:
According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other.
Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star.
Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B.
Which of the following statements is true about the planets?
A.
Planet B will keep orbiting its star longer than Planet A.
B.
Planet A has a longer year than Planet B.
C.
Planet A orbits its star faster than Planet B.
D.
Planet B is more attracted to its star than Planet A.
Explanation:
explain why the ray does not bend when it enters the semi circular glass block
Answers
The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.
Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.
Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.
Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.
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A car enters the freeway with a speed of 7.1 m/s and accelerate on uniformly for 3.3 km in 3.1 minute how fast is the car moving after this time
Answers
The car moving with a speed of 28.4 m/s.
What is speed ?The axis's calculated current speed, as determined by the change in the Transducer Counts status register, is known as the Actual Speed. It is measured in position units per second, or actual speed. In order to lessen the impact of quantizing errors, this value has been filtered.
Using newton's equation of motion,
s = (v+u)t/2 .............................. Equation 1
Where s = distance, v = Final velocity, u = initial velocity, t = time.
making v the subject of the equation,
v = (2s/t)-u........................... Equation 2
Given: s = 3.3 km= ( 33×1000) m = 3300 m , t = 3.1 min = (3.1× 60 ) s = 186 s, u = 7.1 m/s.
substitute into equation 2
v = (2×3300/186)-7.1
v = 28.383 m/s
v ≈ 28.4 m/s
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write down the value of
920 kg in g
Answers
Answer:
920000
Explanation:
Each kg contains 1,000 grams
What is TRUE about the use of drawings at a crime scene?
O A. Drawings are no longer used because photography is more precise.
OB. Only when a camera is not immediately available should a sketch be made.
O c.
It is common practice for investigators to make a sketch of a crime scene.
OD. Investigators are trained in how to make a quality finished sketch of a scene.
Answers
Answer:
A. Drawings are no longer used because photography is more precise.
Explanation:
It is common practice for investigators to make a sketch of a crime scene.
Creating sketches of crime scenes is a common practice among investigators, as it provides valuable visual documentation that complements photographs and written notes. While photography is an important tool for capturing detailed and precise information, sketches offer unique advantages that contribute to the overall understanding of the crime scene.
Sketches can provide a clear and organized representation of the spatial relationships, distances, and dimensions within the crime scene. They can accurately depict the layout of the area, the position of evidence, the location of key objects, and other relevant details that may not be fully captured by photographs alone.
Additionally, sketches allow investigators to emphasize specific features or elements that are essential to the case. This can aid in explaining the sequence of events, the movement of individuals or objects, and other dynamic aspects of the crime scene.
While digital photography is widely used today, sketches remain valuable for scenarios where a camera may not immediately be available, when capturing certain angles or perspectives is challenging, or when highlighting specific details is necessary.
Investigators are trained in creating accurate and detailed sketches that adhere to professional standards. This includes ensuring accurate measurements, using appropriate scale ratios, labeling key features, and maintaining object proportions. Sketched crime scene diagrams are often included in official investigative reports and court proceedings to provide a comprehensive visual representation of the crime scene, enhancing the communication of information among investigators, legal professionals, and jurors.
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If it takes a planet 2.8 years to orbit the Sun, how long (in years) will it take the planet to go all the way around our sky once?
Answers
No
Because there is no any planet who can visit all sky at one time.
It will take 6 years.
What is Sun's orbit called?
A heliocentric orbit (also called the circumsolar orbit) is an orbit around the barycenter of the Solar System, which is usually located within or very near the surface of the Sun.
How did the Earth orbit the Sun?
The Earth revolves around the Sun at a speed of approximately 29.78 km/s (18.51 mi/s), or about 0.01% of the speed of light. This actually varies slightly, since the Earth makes an elliptical orbit around the Sun: moving faster at perihelion (nearest the Sun) and slower at aphelion (farthest from the Sun).
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Why was Conner feeling disenfranchised about his company
Answers
He starts off evolved grieving earlier than he has been clearly outsourced.His emotions are associated to the loss that would possibly happen in future. His emotions are due to the response to the predicted loss.
If the error in the angle is 0.50, the error in sin 90o is
Answers
At the given erro in angle, the error in the measurement of sin 90 degrees would be 0.001.
Percentage errorThe percentage error of any measurement is obtained from the ratio of the error to the actual measurement.
The error of sin 90 degrees is calculated as follows;
sin 90 = 1
error in measurement = sin(90 - 0.5)
error in measurement = sin(89.5) = 0.999
Error in sin 90 degreesError in sin 90 degrees = 1 - 0.999
Error in sin 90 degrees = 0.001
Thus, at the given erro in angle, the error in sin 90 degrees would be 0.001.
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100 points for this easy question :D
What's Coulomb's Law? (in your own words)
Answers
depending on the object the force pressing in on the object are equal with the quantity of the object.
Answer:
·ω·
Explanation:
What is SeaWorld?
What is this
What is that
Answers
SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.
SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.
SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.
Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.
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what is the processes found at a divergent boundary that helps form metamorphic rocks, igneous rocks, and sedimentary rocks. I need the process name for each one pls
Answers
At a divergent boundary, heat and pressure can cause metamorphism, magma can solidify to form igneous rocks, and sediments can accumulate and lithify to form sedimentary rocks. These three processes contribute to the formation of various types of rocks.
At a divergent boundary, three main processes occur that can lead to the formation of metamorphic, igneous, and sedimentary rocks:
1. Metamorphic rocks: Heat and pressure from the divergent boundary can cause existing rocks to be metamorphosed, or transformed, into new rocks with different textures and mineral compositions. This process is called metamorphism.
2. Igneous rocks: Magma, which is molten rock, can rise to the surface at a divergent boundary and cool and solidify to form igneous rocks. This process is called solidification or crystallization.
3. Sedimentary rocks: Sediments, such as sand and mud, can accumulate in the low-lying areas near a divergent boundary, such as in rift valleys or on the continental shelf. Over time, these sediments can be compacted and cemented together to form sedimentary rocks. This process is called lithification.
Hence, Heat and pressure at a divergent boundary can produce metamorphism, solidify magma to create igneous rocks, and accumulate and lithify sediment to create sedimentary rocks. Different sorts of rocks are formed as a result of these three processes.
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While studying stalactites in a cave, Hannah dropped her lantern down a hole 35m deep. How fastwas it traveling when it hit the ground? Use energy equations.
Answers
Given data
*The given height is h = 35 m
*The value of the acceleration due to gravity is g = 9.8 m/s^2
The formula for the speed of the lantern is given by the conservation of energy as
\(\begin{gathered} U_p=U_k \\ mgh=\frac{1}{2}mv^2 \\ v=\sqrt[]{2gh} \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} v=\sqrt[]{2\times9.8\times35} \\ =26.19\text{ m/s} \end{gathered}\)Hence, the speed of the lantern is v = 26.19 m/s