3. An electric motor is used to lift a 6.0 kg of mass through a height of 1 metre. The energy it uses is measure on an energy meter is 10 joules.

a) Calculate the work done in lifting the mass​

Answers

Answer 1

Answer:

Climbing stairs and lifting objects is work in both the scientific and everyday sense—it is work done against the gravitational force. When there is work, there is a transformation of energy. The work done against the gravitational force goes into an important form of stored energy that we will explore in this section.

Figure 1. (a) The work done to lift the weight is stored in the mass-Earth system as gravitational potential energy. (b) As the weight moves downward, this gravitational potential energy is transferred to the cuckoo clock.

Let us calculate the work done in lifting an object of mass m through a height h, such as in Figure 1. If the object is lifted straight up at constant speed, then the force needed to lift it is equal to its weight mg. The work done on the mass is then W = Fd = mgh. We define this to be the gravitational potential energy (PEg) put into (or gained by) the object-Earth system. This energy is associated with the state of separation between two objects that attract each other by the gravitational force. For convenience, we refer to this as the PEg gained by the object, recognizing that this is energy stored in the gravitational field of Earth. Why do we use the word “system”? Potential energy is a property of a system rather than of a single object—due to its physical position. An object’s gravitational potential is due to its position relative to the surroundings within the Earth-object system. The force applied to the object is an external force, from outside the system. When it does positive work it increases the gravitational potential energy of the system. Because gravitational potential energy depends on relative position, we need a reference level at which to set the potential energy equal to 0. We usually choose this point to be Earth’s surface, but this point is arbitrary; what is important is the difference in gravitational potential energy, because this difference is what relates to the work done. The difference in gravitational potential energy of an object (in the Earth-object system) between two rungs of a ladder will be the same for the first two rungs as for the last two rungs.

Converting Between Potential Energy and Kinetic Energy

Gravitational potential energy may be converted to other forms of energy, such as kinetic energy. If we release the mass, gravitational force will do an amount of work equal to mgh on it, thereby increasing its kinetic energy by that same amount (by the work-energy theorem). We will find it more useful to consider just the conversion of PEg to KE without explicitly considering the intermediate step of work. (See Example 2.) This shortcut makes it is easier to solve problems using energy (if possible) rather than explicitly using forces.

More precisely, we define the change in gravitational potential energy ΔPEg to be ΔPEg = mgh, where, for simplicity, we denote the change in height by h rather than the usual Δh. Note that h is positive when the final height is greater than the initial height, and vice versa. For example, if a 0.500-kg mass hung from a cuckoo clock is raised 1.00 m, then its change in gravitational potential energy is

mgh=(0.500 kg)(9.80 m/s2)(1.00 m) =4.90 kg⋅m2/s2=4.90 Jmgh=(0.500 kg)(9.80 m/s2)(1.00 m) =4.90 kg⋅m2/s2=4.90 J

Note that the units of gravitational potential energy turn out to be joules, the same as for work and other forms of energy. As the clock runs, the mass is lowered. We can think of the mass as gradually giving up its 4.90 J of gravitational potential energy, without directly considering the force of gravity that does the


Related Questions

What does v or vf stand for? What SI units are used to measure it?

Answers

Answer:

Below

Explanation:

In my experience, vf means final velocity, and v would be the average velocity!

You would write it as ΔV (delta V)

The SI units that are used to measure it are m/s

Hope that helped!

v and vf stand for velocity and final velocity respectively. its SI unit is to measure it is m/s.

What is velocity & Acceleration ?

Velocity is "rate in change of displacement with respect to time".

i.e. v= dx/dt. It is denoted by v.

it is also defined as displacement divided time. i.e. v= Displacement÷Time.

Velocity shows how much distance can be covered in unit time. It's SI unit m/s.

Acceleration is rate in change of velocity with respect to time.

i.e. a = dv/dt

if an object changes its velocity in short time, we can say that it has greater acceleration.

a= dv/dt =Δv/Δt =  [tex]\frac{v_{i} - v_{f} }{t_{i}-t_{f} }[/tex]

where    [tex]v_{i}[/tex]= initial velocity of an object

             [tex]v_{f}[/tex]= final velocity of an object

             t₂= initial time of an object

             t₁ = final time of an object

Hence v is stands for velocity and vf is stand for final velocity,

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How many cm are in 900 feet? Using the method of dimensional analysis

Answers

1 foot = 30.48 cm

(x900) (x900)

900 feet = 27432 cm

Pls give me a brainliest if this helped thx

which of the following are fundamental unit ?
I.candela
II.ampere
III.mole
IV.all of these​

Answers

Answer:

all of these very easy questions

A tall pea plant (Tt) is crossbred with a short pea plant (tt). The following Punnett square shows the separated alleles for two pea plants.
Which of the following shows the correct match of the box numbers and the genotype of the offspring?
A. 1 = Tt; 2 = tt; 3 = Tt; 4 = tt
B. 1 = Tt; 2 = Tt; 3 = Tt; 4 = Tt
C.1 = Tt; 2 = Tt; 3 = tt; 4 = tt
D. 1 = Tt; 2 = tt; 3 = tt; 4 = tt

Answers

[tex]Hello[/tex] [tex]There![/tex]

The answer is...

A. 1 =Tt; 2 = tt; 3 = Tt; 4 = tt.

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

Plsss helppp me I have a lot of questions pls help me I will mark brainliest!!!

Answers

Answer:

kilo means 1000

2a. 0.1

b. 100

c.0.01

d. 0.001

3a.km

b.mL

d.cg

e.mm

g. g

h.kL



8. Define resistance and resistivity and also give the relation between them. Explain the
dependence of resistance on temperature.
I huhs burn for

Answers

Answer

I hope it's helps you

A boy rode a bike and covered 90 km at an average speed equals 36 km/h but he covered the first thirty km in two hours. What is the average speed at which the remaining distance was covered ?​

Answers

Answer:

40

Explanation:

because his increasing speed

If Bert the Bat travels eastward at 40 mph with a tailwind of 6 mph, what is his actual speed?

Answers

Answer:

36 mph.

Explanation:

Now Albert here is using the wind to his advantage but if say there was no wind then he would not have the 6 mph behind him so we subtract 6 from 40 to get 36. hope this helps :)

the right-hand tube of the manometer is open to the atmosphere. The pump has been operated so that the mercury levels differ, as shown, by 250 mm. The density of mercury is 13 600 kg / m3. i) Calculate the pressure, in Pa, due to the 250 mm column of mercury.

Answers

Answer:

P(ressure) = d g h = density * gravity * height

P = 13600 * 9.8 * .25 = 33,300 Pa

Check:    1 atm = 76 cm = 760 mm height = 1.01 * 10E5 Pa

h = 1.01 * 10E5 / 9.8 * 13600 .758 m = 758 mm for 1 atm

250 / 758 = 1/3 atmosphere  = 33,700 Pa   close enough for estimates

(the pressure requested is 1/3 atmosphere where 1 atm = 760 mm Hg)

Question on picture please help

Answers

Answer:

the only one I know is physics is not absent in our lives so that's false

The P.E stored by a mass spring system at an extension of 2 cm is 10 J. The P.E stored by the same system at an
extension of 4 cm will be:

Answers

Explanation:

extension(x) = 0.02m When the P.E is 10J.

extension(x)= 0.04m PE?.

P.E is proportional to Extension²

P.E/x² = P.E"/x"²

10/(0.02)² = P.E/(0.04)²

P.E= 10x(0.04)²/(0.02)²

P.E= 40J

in the Newton's Third Law of Motion state three characteristics ​

Answers

Answer:

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

how is circuit used to make permanent magnet

Answers

Answer:

The touch in a circuit is by forming a circuit with the bars, and moving the horseshoe magnet backwards and forwards upon it. Between the two poles a strong current is excited, & on moving the magnet around we magnetize the bars to saturation i.e. to as a high degree as the bar is capable of retaining.

Explanation:

Please give me brainliest! Hope I helped! :)

If a ball is rolling at a velocity of 1.5 m/s and has a momentum of 10.0 kg times m/s, what is the mass of the ball?

Answers

Answer:

Mass of the ball, M = 6.667 kg

Explanation:

Given data:

Momentum, Mo = 10.0 kgm/s

Velocity of the rolling ball, V = 1.5 m/s

Mass of the body, M = ?

Momentum, Mo = Mass, M x Velocity, V

10.0 kgm/s = M x 1.5 m/s

Divide each side by 1.5 m/s

M = 10.0 kgm/s / 1.5 m/s

M = (6⅔) kg

:. Mass of the ball, M = 6.667 kg

the length of air column at which the first resonance was observed when a vibrating fork was placed on a resonance tube was 30cm. Calculate the wavelength of air column and frequency of the fork speed of sound 330m/s​​

Answers

Velocity=330m/s=vLength=l=30cm=0.3m

[tex]\boxed{\sf Wavelength=\lambda=4\ell}[/tex]

[tex]\\ \sf\longmapsto \lambda=4(0.3)[/tex]

[tex]\\ \sf\longmapsto \lambda=1.2m[/tex]

Now

[tex]\boxed{\sf Frequency=\nu =\dfrac{v}{\lambda}}[/tex]

[tex]\\ \sf\longmapsto \nu=\dfrac{330m/s}{1.2m}[/tex]

[tex]\\ \sf\longmapsto \nu=275s^{-1}[/tex]

Answer:

Velocity=330m/s=v

Length=l=30cm=0.3m

Wavelength=λ=4ℓ

⟼λ=4(0.3)

⟼λ=1.2m

Now

Frequency= ν= λ/v

⟼ν= 1.2m/330m/s

⟼ν=275s^-1

hope it's help you...!!!!

#rishu

Metric conversions
SHOW WORK!!!

1.) 15m —> dm

2.) .023 cc —> L

3.) .00049 km —>

4.) 0.25 kg —> g

5.) 15g —> hg

Answers

1:-

1m=10dm

[tex]\\ \sf\longmapsto 15m[/tex]

[tex]\\ \sf\longmapsto 15(10)[/tex]

[tex]\\ \sf\longmapsto 150dm[/tex]

2:-

1L=1000cm^3

[tex]\\ \sf\longmapsto 0.023cm^3[/tex]

[tex]\\ \sf\longmapsto 0.023\times 0.001[/tex]

[tex]\\ \sf\longmapsto 0.00023L[/tex]

3:-1km=1000m

[tex]\\ \sf\longmapsto 0.00049km[/tex]

[tex]\\ \sf\longmapsto 0.00049(1000)[/tex]

[tex]\\ \sf\longmapsto 0.49m[/tex]

4:-

1kg=1000g

[tex]\\ \sf\longmapsto 0.25kg[/tex]

[tex]\\ \sf\longmapsto 0.25(1000)[/tex]

[tex]\\ \sf\longmapsto 250g[/tex]

5:-

1g=0.0001hg

[tex]\\ \sf\longmapsto 15g[/tex]

[tex]\\ \sf\longmapsto 15(0.0001)[/tex]

[tex]\\ \sf\longmapsto 0.0015hg[/tex]

A body of density 9.0cm appears to have mass 27.0g in a liquid of density 1.2gcm. What is the volume of the solid?​

Answers

Answer:

v * 9.0 = 27.0 + (v * 1.2)

how is light reflected from a prism​

Answers

Answer:

White light entering a prism is bent, or refracted, and the light separates into its constituent wavelengths. Each wavelength of light has a different colour and bends at a different angle. The colours of white light always emerge through a prism in the same order—red, orange, yellow, green, blue, indigo, and violet.

White light entering a prism is bent, or refracted, and the light separates into its constituent wavelengths. Each wavelength of light has a different colour and bends at a different angle. The colours of white light always emerge through a prism in the same order—red, orange, yellow, green, blue, indigo, and violet.

A brick is 32cm long and 10cm wide. It weighs 16N and is lying on the ground. Find the pressure exerted by the brick on the ground.

Answers

Answer:

Below

Explanation:

First, we need to convert the dimension from cm to m before plugging it into the equation:

     32 / 100 = 0.32 m

     10 / 100 = 0.1 m

You can use this equation to find the pressure exerted on the ground

     Pressure = Force / Area

Plugging our values in.....

     Pressure = 16 Newtons / (0.1)(0.32)

                     = 16 Newtons / 0.032

                    = 500 N/m^2

Hope this helps! Best of luck <3

True or false: Pluto is a dwarf planet

Answers

Answer:

Pluto is a dwarf planet. Turr

True. Pluto was considered a dwarf planet in 2006.

Weight is equal to:
A. mg^2
B. m/g
C. mg
D. m^2g

Answers

Weight is equal to m/g which is b, why because there are two things which are “milligrams and grams” that’s why b is the answer

calculate the potential difference between points x and y​

Answers

Answer:

4.275v

                                        Thank you

Answer:

-4.27

Explanation:

hope this may help you TQ.

what is the name of the chart that contain elements?​

Answers

Answer:

Element Chart

Explanation:

It is a chart that provides many different elements.

Venus
Mars
It has no atmosphere due
to weak gravity.
Europa
It is too hot for liquid
water to exist.
--
Earth's moon
1
1
1
It is too cold for liquid
water to exist on the
surface.
?
Scientists believe it used
to have flowing liquid
water.
SUBMIT

Answers

Answer:

Earth is the only known planet to have bodies of liquid water on its surface. Europa is thought to have subsurface liquid water. ... Evidence points to water on other planets in our solar system. In 2015, NASA confirmed that liquid water flows intermittently on present-day Mars

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Describe how you would measure the Volume of an irregular solid object.
You can include any apparatus and equations.

Answers

Answer:

Find a recipient that you can put the object completely inside, and fill this recipient with water. After, you put the irregular solid you want to measure the volume inside, and the water will spill out the recipient. So you take the water that spilled out and uses a graduated recipient to measure the volume of water. The volume of the solid will be exactly the same volume of water that spilled of the first recipient

Water does not run out of dropper unless the rubber-bulb is pressed. Why?

Answers

Answer:

The pressure inside the dropper is same as the atmospheric pressure when the rubber bulb is not pressed. ... But when we press the rubber bulb the pressure inside the dropper increases and hence the water flows out.  Atmospheric pressure acting from outside the dropper balances the pressure exerted by water and water does not come out of a dropper. On pressing the dropper inside pressure of water becomes more than outside atmospheric pressure and water run out. When we press the bulb of a dropper with its nozzle kept in water, air in the dropper is seen to escape in the form of bubbles. Once we release the pressure on the bulb, water gets filled in the dropper.

                                             Thank You

                                        Please mark me brainliest

What do you know about nuclear energy?​

Answers

Answer:

Nuclear energy comes from splitting atoms in a reactor to heat water into steam, turn a turbine and generate electricity. Ninety-three nuclear reactors in 28 states generate nearly 20 percent of the nation's electricity, all without carbon emissions because reactors use uranium, not fossil fuels.

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A student uses the right-hand rule as shown.
What is the direction of the magnetic field in front of the wire closest to the student?
O up
Oright
O down
O left

Answers

Answer: O:right

Explanation: In this case you place your finger on the current, and your fingers should curl showing the way, you must use your right hand in this case, otherwise that would mean the fingers on your left would bend way back, and snap off, (Not really lol,  just saying)

The direction of the magnetic field in front of the wire closest to the student is right. Thus, the correct option is B.

The direction of the magnetic field encircling a current-carrying wire can be determined using the right-hand rule. The magnetic field's direction is shown by the direction in which your fingers wrap around the wire if you point your right thumb in the direction of the current.

In this case, the student is using the right-hand rule with their thumb pointing upward. This means that the direction of the current is flowing into the page, perpendicular to the direction of their thumb.

To determine the direction of the magnetic field in front of the wire closest to the student, we can curl our fingers around the wire in the direction of the current (into the page) while keeping our thumb pointing upward. This results in the direction of the magnetic field being to the student's right.

To learn about Fleming's left-hand rule, click: https://brainly.com/question/20347569

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6. 498.82 mg comverted to kg​

Answers

Answer:

0.00049882 kg

........................

Answer:

498.82 mg=0.00049882 kg

Explanation:

To get this answer, you must multiply the quantity of mg by 0.000001, which is also 0.001². Since one gram is 1000 mg, and 1000 g is 1 kg, you must divide the amount of mg by one million, or multiply by 1/1000000, or 0.000001. I hope this helped you. Enjoy your day, and take care!

It is better to use crow bar to displace a heavy load than with hands . Give reason .​

Answers

Explanation:

Cause it multiples force which makes it easier to move.

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