Given:
initial velocity,u=16m/s
final velocity,v=0m/s
acceleration due to gravity,a=9.8 m/s²
height,h=7m
To find:
time taken,t
we can find the time taken by using second equation of motion as well as first equation of motion,so we use first equation of motion.
v=u+at
substitute the values,we get
0=16+(-9.8)×t
-16=-9.8×t
t=-16/-9.8
t=16/9.8
t=1.63s
Therefore,the time to reach the height of 7m is 1.63s
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The world’s longest organ pipe, in the boardwalk hall auditorium in atlantic city, is 64 feet long. what is the fundamental frequency of this openopen pipe?
The fundamental frequency of this open-open pipe is 8.82 Hz
The quantity of waves that pass a set location in a predetermined period of time is known as frequency. Frequency is the number of full cycles per second in the alternating current direction for an oscillating or fluctuating current. The hertz, also known as Hz, is the accepted unit of frequency.
The temporal rate of change observed in oscillatory and periodic phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light, is specified by the frequency, an essential parameter in science and engineering.
Assume vs = 344 m/s
f1 = vs/2L
= 344 m/s/ 2∙64 ft/(3.281 ft/m)
= 8.82 Hz
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Approximating the eye as a single thin lens 2. 75 cmcm from the retina, find the eye's near-point distance if the smallest focal length the eye can produce is 2. 20 cm.
The near-point distance of the eye is 11 cm.
What is the eye's near-point distance?The near-point distance of the eye is the closest possible distance an object can be from the eye in order for its image to be formed on the retina. It can also be termed the closest distance of accommodation.
The near-point distance of the eye in the given scenario can be calculated using the lens formula given below:
1/f = 1/v + 1/u
where;
f = focal length
v = image distance
u = object distance
From the data provided;
f = 2.20 cm
v = 2.75 cm
u = ?
Solving for u:
1/u = 1/f - 1/v
1/u = 1/2.20 - 1/2.75
1/u = 0.91
u = 11 cm
In conclusion, the lens formula is used to determine the eye's near-point distance.
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What is the function of a diaphragm in a camera?
It controls the speed of the shutter.
It focuses incoming light rays.
It controls the amount of light.
It directs the image to the viewfinder.
What must the amplitude of a traveling wave of frequency 72.0 hz be in order for the average power carried by the wave to be 0.363 w ? express your answer with the appropriate units.
The tension in the wire, the wave's speed, its frequency, and its average power are used to calculate the wave's amplitude.
To find the answer, we have to know about the simple harmonic motion.
How to find the amplitude of a traveling wave?We have the expression for average power carried by the wave as,P = (¹/₂)(T/v²)(ω²)(A²)(v)
P = (¹/₂)(T/v)(ω²)(A²)
P = (¹/₂)(T/v)(2πf)²(A²)
where; U is the average power of the wave, T is the tension e wire, ω angular frequency of the wave, A is amplitude of the wave, v is the speed of the wave and f is frequency of the wave.
Thus, the tension in the wire, the wave's speed, its frequency, and its average power are used to calculate the wave's amplitude.
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The human body has an average density of 979 kg/m^3. What fraction of a person is submerged when floating gently in fresh water?
A person is submerged of about 97.9%
The average density of the human body is given as
[tex]979kg/m {}^{3} [/tex]
What is Law of Floating?
Law of floating can be defined as the volume of the liquid
displaced when a body floats on the liquid surface is equal to the body submerged in water.
As body has the stable equilibrium state,the buoyant of the fluid will be equal to the weight.
weight of the body floating=weight of the body immersed in fluid
Law of floating=Density of the floating object/density of fluid
As fluid is the freshwater here,the density of fluid will be
[tex]1000kg/m {}^{3} [/tex]
[tex] = (979kg/m {}^{3})/(1000kgm {}^{3} )[/tex]
=97.9%
A person is submerged when floating gently in fresh water about 97.9%
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Calculate the gravitational potential energy is a bicycle of mass 20kg and its rider of mass 50kg cycle to the top of a hill 120 metres high.
Explanation:
Gravitational Potential Energy can be calculated with the following formula:
[tex]mgh[/tex]
Where m is mass, g is Gravitational Field Strength, and h is height. GFS on Earth is always 9.81, the combined mass of the cyclist and the bicycle is 70, and the height is 120. Multiplying these values together, we get:
82,404J.
50. a kangaroo can jump over an object 2.50 m high. (a) calculate its vertical speed when it leaves the ground. (b) how long is it in the air?
Answer:
The easiest way to do this is to realize that the time to fall is the same as the rise time (conservation of energy can easily verify this)
S = 1/2 g t^2 time to fall 2.5 m
t = (5 / 9.8)^1.2 = .714 sec time in air
v = a t = 9.8 * .714 = 7 m/s initial vertical speed
Check:
S = v t - 1/2 g t^2 where v is the initial vertical speed
S = 7 * .714 - 4.9 * .714^2 = 2.5 m total vertical distance traveled
Glycerin at a temperature of 30 degrees celcius flows at a rate of 8×10−6m3/sthrougha horizontal tube with a 30mmdiameter. what is the pressure drop in pascals per100m?
The pressure drop in pascal is 3.824*10^4 Pascals.
To find the answer, we need to know about the Poiseuille's formula.
How to find the pressure drop in pascal?We have the Poiseuille's formula,[tex]Q=\frac{\pi r^4P}{8\beta l}[/tex]
where, Q is the rate of flow, P is the pressure drop, r is the radius of the pipe, is the coefficient of viscosity (0.95Pas-s for Glycerin) and l being the length of the tube.By substituting values and rearranging we will get the pressure drop as,[tex]P=3.284Pascals[/tex]
Thus, we can conclude that, the pressure drop in pascal is 3.824*10^4.
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At what distance from a 27 mw point source of electromagnetic waves is the electric field amplitude 0. 060 v/m ?
The distance from a 27 mw point source of electromagnetic waves where the electric field amplitude 0. 060 v/m will be 21.21 m .
Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. In other words, EM waves are composed of oscillating magnetic and electric fields.
The highest point of a wave is known as 'crest' , whereas the lowest point is known as 'trough'. Electromagnetic waves can be split into a range of frequencies. This is known as the electromagnetic spectrum.
c = 3 * [tex]10^{8}[/tex] m/s
∈ = 8.85 * [tex]10^{- 12}[/tex] [tex]C^{2}[/tex] / N/ [tex]m^{2}[/tex]
E = 0. 060 v/m
I = P / 4π[tex]r^{2}[/tex]
Also , I = c ∈ [tex]E^{2}[/tex] /2
[tex]r^{2}[/tex] = P / 4π I equation 1
substituting the value of I in equation 1
[tex]r^{2}[/tex] = 2 P / 4π (c ∈ [tex]E^{2}[/tex] )
[tex]r^{2}[/tex] = 2 * 27 * [tex]10^{-3}[/tex] / 4 * 3.14 * 3 * [tex]10^{8}[/tex] * 8.85 * [tex]10^{- 12}[/tex] * [tex](0.06)^{2}[/tex]
r = 21.21 m
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What is the mechanical advantage of a simple block and tackle with one rope?
2
3
4
1
Answer:
Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. Ideally, the device preserves the input power and simply trades off forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever.”
Explanation:
a person can pull approximately 60% of their own weight horizontally along the ground in good conditions. So if we need a 500 lb pull to get something done and we have a single groundman who weighs 200 lb and can therefore generate around 120 lb of pull, how can we accomplish this 500 lb pull? The simple answer is that the groundman can go find 4 or 5 good friends who are willing to drop everything and come and help him pull on the rope.
What is the date and latitude for the greatest amount of insolation in the southern hemisphere?
The day of the year that has the greatest amount of insolation is June 20 or 21, and December 21 or 22 in the Southern Hemisphere.
Solar radiation that enters the Earth's atmosphere or surface is known as insolation. Only around 52% of this insolation reaches the surface of the earth. The remainder is reflected by the Earth's surface and dispersed by airborne particles, or it is absorbed by water vapor, dust, and clouds.
The portion of Earth south of the equator, a hypothetical horizontal line that circles the planet halfway between its poles, is known as the southern hemisphere. The Northern Hemisphere sees its peak insolation and summer on June 21 as a result of the Earth's continuous motion, with the highest overhead sun now over the Tropic of Cancer (23.5° N).
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Twelve seconds after starting from rest a freely-falling cantaloupe has a speed of_______.
Twelve seconds after starting from rest a freely falling of cantaloupe has a speed of 114 m/s
When a body moves exclusively under the influence of the Earth's gravity, it is said to be in freefall. The motion of the ball will be accelerated as a result of an external force acting on it. This free-fall acceleration is also known as acceleration due to gravity.
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics.
from kinematic equation of motion`
v = u+ at
=u + gt (The acceleration for a free-falling object is g)
since, starting from rest
initial velocity = u = 0
time = 12 seconds
g= 9.81 m/ [tex]s^{2}[/tex]
v = u + gt
= 0 + 9.8 * 12
= 117.6 m/s
≈ 118 m/s
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FInal physics question please help asap
The cannonball will be 311.8 m far in meter when it travels horizontally
What is a Projectile ?A projectile is any object like stone, ball or javelin that take a parabolic path when thrown into the air.
The following parameters are given from the question
Ф = 30°u = 60 m/sg = 10 m/s²R = ?Resolve the initial velocity into horizontal and vertical components. That is,
Horizontal component = ucosФVertical component = usinФTo calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 311.8 m approximately horizontally.
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The thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw is:_____.
The thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw is 66.67%.
It is given that,
Rejected heat at the rate of 20 mw and supplied heat a rate of 60 mw.
It is required to find the thermodynamic efficiency of a heat engine.
What is the thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw?As we know that
Work Done = Heat Supplied - Heat Rejected
Work Done = 60 mw - 20 mw
Work Done = 40 mw
So the efficiency of heat engine will be:
[tex]\eta=\frac{Work done}{Heat energy supply}[/tex]
[tex]\eta=\frac{40}{60}[/tex]×[tex]100\\[/tex]
η = [tex]\frac{2}{3}[/tex]×[tex]100\\[/tex]
η = 66.67%
Thus, thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw is 66.67%.
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Two long parallel wires carry currents of 20 a and 5. 0 a in opposite directions. the wires are separated by 0. 20 m. what is the magnetic field midway between the two wires? group of answer choices
The magnetic field will be given by the formula B=B1+B2.
Between two wires, the magnetic field has the formula B=B1+B2.
We must first calculate the magnetic field caused by each wire before adding the two vectors to find the net magnetic field halfway between the two wires. We must subtract the two vectors in order to find the total magnetic field because the electric current flows in the opposite direction via both cables.
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is traveling through a magnetic field.
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b.
How
6. An astronaut on the moon throws a wrench straight up with a speed of 4.0m/s. Three
seconds later, it is falling down with a speed of 0.80m/s.
a.What is the acceleration of the wrench?
b.How far above the point of release will the wrench be after 3.0s?
C.How long would it take for the wrench to return to its starting position?
Answer:
Kinematics of the parabolic movement
To solve the problem we will apply the kinematic equations of linear motion, which are an essential part in the characterization of parabolic motion. In this case we require the definition of acceleration described mathematically as,
a
=
v
f
−
v
i
t
Here,
v
f
=
Final Velocity
v
i
=
Initial Velocity
t
=
Time
Answer and Explanation: 1
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According to the information provided we have to
{eq}\text{Initial Velocity} = v_i = 4.0\text{ m/s}\\ \text{Initial Velocity} = v_f = 0.80\text{
You are walking out on a frozen lake and you begin to hear the ice cracking beneath you. What is your best strategy for getting off the ice safely?
A Final statement or concluding statement
As, Pressure(P)=(Force(F))/(Area(A)) . So, By Lying down flat on the ice and crawl towards shore will help to get off the ice safely.
What is the relationship between Area and Pressure?Pressure and area of contact are related in such a way that they are inversely proportional to each other.
As the area shrinks, so does the pressure.
Consider the difference between the pressure exerted by a finger pressing on the skin and the pressure exerted by a needle attached to a syringe.
When pressed, the finger may cause a slight depression on the skin but may not cause any pain.
When the same force is applied to a needle, however, the pressure produced is sufficient to puncture the skin.
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A solenoid with 500 turns is 0. 10 m long and carries a current of 4. 0. What strength of magnetic field will it have at its center?
A solenoid with 500 turns is 0. 10 m long and carries a current of 4. 0. The strength of magnetic field at its center will be 2.5 * [tex]10^{-2}[/tex] H
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts.
A coil of wire which is designed to generate a strong magnetic field within the coil is called a solenoid. Wrapping the same wire many times around a cylinder creates a strong magnetic field when an electric current is passed through it. N denotes the number of turns the solenoid has.
Magnetic field at the center of the solenoid = mu0 * I * N / L
I = current in the solenoid
N = number of turns in the solenoid
L = length of the coil
B = 4π * [tex]10^{-7}[/tex] * 4 * 500 / 0.10
= 251200 * [tex]10^{-7}[/tex] H
= 2.5 * [tex]10^{-2}[/tex] H
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Consider these observations:
The electromagnetic waves from the sun heat up Earth’s surface and atmosphere.
Sound waves from an outdoor music concert can be heard at a distance from the concert venue.
Shear waves generated by an earthquake dissipate energy at a boundary between a solid and a liquid but do not travel through the liquid.
Which of the following can be inferred, based on these observations, about energy transfer by waves as the wave travels through a medium?
A
All waves transfer energy no matter what medium they travel through.
B
All waves need a gaseous medium to travel through in order to transfer energy.
C
All waves transfer energy by the net movement of particles of the medium.
D
All waves transfer energy equally well through all types of media.
Energy is transferred by waves as the wave travels through a medium All waves transfer energy no matter what medium they travel through. the correct answer is option(a).
A wave is a disturbance that shifts energy rather than actual substance from one location to another. Energy is transferred by waves away from its source, or initial location.
Energy is transferred via electric and magnetic field vibrations in electromagnetic waves. Energy is conveyed in sound waves by the vibrating of air molecules or the particles of the substance that the sound is traveling through. The vibration of the water molecules occurs during the transmission of energy in water waves. The medium's particles only vibrate stationary. As they vibrate, they transfer the disturbance's energy to the particles nearby, which then transfer it to the particles nearby, and so forth. The wave does not truly move together with the medium's particles.
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Select the correct answer. which of these is a scalar quantity? a. acceleration b. displacement c. length d. velocity
Answer:
length
Explanation:
A proton moving at 7. 0 × 10^4 m/s horizontally enters a region where a magnetic field of 0. 10 t is present, directed vertically downward. What magnitude force acts on the proton due to this field?
A proton moving at 7. 0 × 10^4 m/s horizontally enters a region where a magnetic field of 0. 10 t is present, directed vertically downward. The magnitude force acts on the proton due to this field will be 1.12 * [tex]10^{-23}[/tex] N
Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion.
Force in a magnetic field = q. ( v * B )
where
q = charge of particle = 1.6 * [tex]10^{-27}[/tex] C
v = velocity of particle = 7. 0 × [tex]10^{4}[/tex] m/s
B = 0. 10 T
Force = 1.6 * [tex]10^{-27}[/tex] * 7. 0 × [tex]10^{4}[/tex] * 0. 10
= 1.12 * [tex]10^{-23}[/tex] N
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An rv is traveling 60 km/h along a highway at night. a boy sitting near the driver of the rv turns a flashlight on and shines it at another boy at the back end of the rv. what is the speed of the light relative to the boys? m/s what is the speed of light relative to a stationary observer on the side of the road? m/s
Speed of light relative to the boys = 300,000,000 m/s
Speed of light relative to a stationary observer on the side of the road =
300,000,000 m/sWhat is special theory of relativity?The theory of special relativity explains how speed affects space, time, and mass. Small amounts of mass (m) can be interchangeable with large amounts of energy (E), as defined by the classic equation E = mc2, according to the theory, which offers a means for the speed of light to define the link between energy and matter.What are the special relativity's guiding principles?The laws of physics should be independent of the uniform motion of an inertial frame of reference, and the speed of light should be constant in any such frame, according to two fundamental tenets that constitute the basis of the special theory of relativity.To learn more about special relativity visit:
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Answer:
first answers are 25 & 35, second answers are both 300,000,000
Explanation:
A concave lens has a focal length of 25cm. it's power in diaptor is
As we know that :
[tex]\begin{gathered}\large{\boxed{\sf{P \: = \: \dfrac{1}{f}}}} \\ \\ \rightarrow {\sf{P \: = \: \dfrac{1}{-25}}}\end{gathered}[/tex]
Power, is in Meter. So divide focal length by 100
[tex]\begin{gathered}\rightarrow {\sf{P \: = \: \dfrac{1}{\dfrac{-25}{100}}}} \\ \\ \rightarrow {\sf{P \: = \: \dfrac{-100}{25}}} \\ \\ \rightarrow {\sf{P \: = \:- 4}} \\ \\ \underline{\sf{\therefore \: Power \: of \: Concave \: lens \: is \: - \: 4D}}\end{gathered}[/tex]
A 24-kw electric furnace is connected to a 240-v line. what is the resistance of the furnace? group of answer choices
The resistance of the furnace is 2.4 ohm
Given,
P=24kW, V=240v,
P=[tex]\frac{V^{2} }{R}[/tex], 24kW=[tex]\frac{240^{2} }{R}[/tex], Therefore R=2.4 ohm
ResistanceA force that opposes the flow of current is electrical resistance, often known as resistance to electricity. It acts as a gauge for how challenging it is for current to flow in this fashion. Ohms (), which represent resistance values, are used. Electricity will move from high to low when an electron difference exists between two terminals. This flow is opposed by resistance. Lower currents occur at higher resistance levels. The opposite is also true: the current increases as the resistance decreases. The Greek letter omega (), which represents resistance, represents ohms. German physicist Georg Simon Ohm (1784–1854), who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm. Ohm's Law was developed under his direction.
A 24-kw electric furnace is connected to a 240-v line. what is the resistance of the furnace? group of answer choices
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How would you expect people from two different cultures to differ in their sense and perception of smell
A large plate carries a uniform charge density σ = 8. 85 × 10-9 c/m2. a pattern showing equipotential surfaces with a 5 v potential difference would appear as:_________
The potential difference comes out to be
[tex]10 \times 10 {}^{ - 3} m[/tex]
Given:
σ = 8. 85 × 10-9 c/m2
we know,
[tex]E = \frac{σ}{2ε0}[/tex]
[tex]E = \frac{8.85 \times 10 {}^{ - 9} }{2ε0}[/tex]
[tex]E = \frac{v}{d} [/tex]
given the potential difference between two equipotential surface=5v
E=∆v
∆d=∆v/E
[tex] = \frac{5 \times 8.85 \times 10 { }^{ - 12} \times 2 }{8.85 \times 10 {}^{ - 9} } [/tex]
[tex]Δ = 10 \times 10 {}^{ - 3} m[/tex]
Thus the potential difference is
[tex]10 \times 10 {}^{ - 3} m[/tex]
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A 0.20-μf capacitor is connected to a 300-v battery. What potential energy is stored in the capacitor?
A 0.20-μf capacitor is connected to a 300-v battery, the potential energy is stored in the capacitor will be 9 * [tex]10^{-3}[/tex] J
The energy stored in a capacitor is nothing but the electric potential energy and is related to the voltage and charge on the capacitor. If the capacitance of a conductor is C, then it is initially uncharged and it acquires a potential difference V when connected to a battery.
Its two plates hold opposite charges and the separation between them creates an electric field. That's why a capacitor stores energy.
Capacitance = 0.20 * [tex]10^{-6}[/tex]
voltage = 300 V
Potential energy stored in a capacitor = 1/2 *C * [tex]V^{2}[/tex]
= 1/2 * 0.20 * [tex]10^{-6}[/tex] * [tex](300)^{2}[/tex]
= 9000 * [tex]10^{-6}[/tex]
= 9 * [tex]10^{-3}[/tex] J
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What is the specific heat of a substance that requires 99,100 J of thermal energy to heat 3.47 kg of this substance from 11°C to 45°C?
Answer: [tex]\Large\boxed{0.84~J/g^\circ C}[/tex]
Explanation:
Given information
[tex]Q~(Energy)=99,100~J[/tex]
[tex]m=3.47~kg[/tex]
[tex]\Delta T=(T_{Final}-T_{Initial})=(45-11)=34^\circ C[/tex]
Given formula
[tex]Q=m\times c\times\Delta T[/tex]
[tex]Q=Energy\\m=mass\\c=specific~heat\\\Delta T=Change~in~temperature[/tex]
Convert the unit of mass into Grams
[tex]1~kg=1000~g\\[/tex]
[tex]3.47~kg=3.47\times 1000=3470~g[/tex]
Substitute values into the given formula
[tex](99100)=(3470)\times c \times(34)[/tex]
Simplify by multiplication
[tex]99100=117980~c[/tex]
Divide 117980 on both sides
[tex]99100\div117980=117980~c\div117980[/tex]
[tex]\Large\boxed{c=0.84~J/g^\circ C}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
When a solid is heated, it emits electromagnetic radiation known as ________________. an example of such radiation is the element of a stove top burning bright red.
Answer:
I think the answer is thermal radiation
A rock with a mass of 3 kilograms is put aboard an airplane in new york city and flown to boston. how much work does the gravitational field of the earth do on the rock?
The amount of work done by the gravitational field of the earth do on the rock is 29.4 d (J).
What is work done?Work is done when energy is transferred from one store to another.
Work is also done when a force causes an object to move.
The amount of work done by the gravitational field of the earth do on the rock is calculated as follows;
W = Fd
where;
F is gravitational force of the rockd is the displacement of the rockW = (mg)d
W = (3 x 9.8)d
W = 29.4 d
Thus, the amount of work done by the gravitational field of the earth do on the rock is 29.4 d (J).
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