which is the correct equation for the elastic potential energy stored in a spring
A EPE = mv
B EPE = 1/2kx^2
C EPE = F(delta)t
D EPE = -kx

Answers

Answer 1

(B)

Explanation:

[tex]pe = \frac{1}{2} k {x}^{2} [/tex]

Answer 2

The equation of the elastic potential energy stored in the spring can be represented as: EPE = (1/2)kx². Therefore, option (B) is correct.

What is elastic potential energy?

The elastic potential energy can be described as the total energy obtained as a result of deformation in the shape of an object. The elastic potential energy implies any object which is capable of regaining its actual shape and size after deformation.

The deformation is only possible as a result of the gained potential energy which is called the elastic potential energy. The elastic potential energy can be stored energy of a compressible or stretchable in other words stored energy of perfectly elastic materials.

The mathematical equation of the elastic potential energy formula is given by:

U = 1/2 (Force × Displacement)

U = (1/2) (kx) (x)

U = (1/2)kx²

Where k is the spring constant and x is the displacement as a result of applied external force.

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Related Questions

negative acceleration is also known as

Answers

Answer:

Deceleration

Explanation:

The amount by which a speed or velocity decreases

Answer:

Negative Acceleration is called Deceleration.

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Another box of weight 1500 N is raised vertically by 3.0 m
calculate the work done on the box

Answers

Answer:

[tex]workdone = force \times distance \\ = 1500 \times 3 \\ = 4500 \: joules[/tex]

Answer:

4,500J

Explanation:

Work done = force × distance

1500N × 3m = 4,500 Joules

A hydrometer is an instrument used to determine liquid density. A simple one is sketched in the figure below. The bulb of a syringe is squeezed and released to lift a sample of the liquid of interest into a tube containing a calibrated rod of known density. (Assume the rod is cylindrical.) The rod, of length L and average density 0, floats partially immersed in the liquid of density . A length h of the rod protrudes above the surface of the liquid. Show that the density of the liquid is given by
=
0L
L − h
.
(Do this on paper. Your instructor may ask you to turn in this work.)

Answers

Answer:

weight of rod =weight of liquid displaced

mass of the rod ×g =mass of liquid displaced ×g

(g cancelled out)

mass of the rod =mass of liquid displaced

density of rod ×volume of rod =density of liqiud ×volume of liquid displaced

O×cross section area of rod ×height of rod =density of liquid ×Cross section area of rod ×height of rod under the surface

O×L=density of liquid ×(L-h)

then density of liquid =OL/(L-h) shown as required

The density of the liquid is given by =OL/L − h

What is density?

Density is the ratio of mass of an object and its volume.

According to the Archimedes principle, weight of rod = weight of liquid displaced

mass of the rod ×g =mass of liquid displaced ×g

So, mass of the rod =mass of liquid displaced

Mass in terms of density is substituted,

density of rod × volume of rod =density of liquid ×volume of liquid displaced

cross section area of rod ×height of rod =density of liquid ×Cross section area of rod ×height of rod under the surface

O×L=density of liquid ×(L-h)

Then, density of liquid =OL/(L-h).

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A train starting from rest moves with a uniform acceleration of 0.2 ms-2 for 5 minutes. Calculate the final velocity and the distance travelled in this time.

Answers

Answer:

Final velocity = 60 m/s

Distance travelled = 9000 m

Explanation:

Applying,

For Final velocity,

v = u+at ............... Equation 1

Where v = final velocity, u = initial velocity, a = acceleration, t = time.

From the question,

Given: u = 0 m/s(at rest), a = 0.2 m/s², t = 5 minutes = (5×60) = 300 s

Substitute these values into equation 1

v = 0+0.2(300)

v = 60 m/s.

Also for distance,

Applying,

s = ut+1/2at²................ Equation 2

Where s = distance travelled.

subtitute thes values above into equation 2

s = (0×300)+(0.2×300²)/2

s = 9000 m

Examine the following output:
4 22 ms 21 ms 22 ms sttlwa01gr02.bb.ispxy.com [154.11.10.62]
5 39 ms 39 ms 65 ms plalca01gr00.bb.ispxy.com [154.11.12.11]
6 39 ms 39 ms 39 ms Rwest.plalca01gr00.bb.ispxy.com [154.11.3.14]
7 40 ms 39 ms 46 ms svl-core-03.inet.ispxy.net [205.171.205.29] 8 75 ms 117 ms 63 ms dia-core-01.inet.ispxy.net [205.171.142.1] Which of these commands produced this output?
A. tracert
B. nslookup
C. pingroute
D. ping

Answers

Answer:

A. tracert

Explanation:

Tracert is a computer diagnostic command which displays possible routes for delays in packets of Internet Protocol (IP). Tracert command will display results for route which is recorded round trip times of packet.

Let's say you want to start a fire using a mirror to focus sunlight. What would you do A) use a plane mirror. B) use a convex mirror , with the object to be ignited positioned at the center of curvature of the mirror. C) use a concave mirror, with the object to be ignited positioned at the center of curvature of the mirror. D) use a concave mirror, with the object to be ignited positioned halfway between the mirror and its center of curvature.

Answers

Answer:

A concave mirror is used.

Explanation:

start a fire using a mirror to focus sunlight.

A concave mirror is used as a light concentrator.

When the object is placed at the infinity, the image is formed at focus.

So, the light is focused at the focus and thus the fire is started.

HELP)

of the following WOULD YOU NOT FIND IN THE DESERT

TORNADO
DRY HUMIDITY
HURRICANE
NONE OF THE ABOVE

Answers

hurricane is the answer they are formed in water

the one you will most likely not find would be a hurricane

Explanation:

then can only be made when they are in a body of water

As Courtney switches on the TV set to watch her favorite cartoon, the electron beam in the TV tube is steered across the screen by the field between two charged plates. If the electron experiences a force of 3.0 * 10^6 N, how large is the field between the deflection plates?

Answers

Answer:

Explanation:

Force= (q1q2)/(4/\Ęr2)

3×10^6= (1.602×10^-19)^2/(r^2)

r^2=(2.27×10^-33)/(3×10^6)

r^2=8.55×10^-45

r= 9.25×10^-23

A car with a velocity of 22 m/s is accelerated uniformly at the rate of 2 m/s2 for 7s. What is its final velocity?

Answers

Answer:

Explanation:

This is a classic acceleration problem in one dimension. Use the equation

[tex]a=\frac{v_f-v_0}{t}[/tex] where a is the acceleration of he car, vf is the final velocity (and our unknown), v0 is the initial velocity, and t is time in seconds. Filling in:

[tex]2=\frac{v_f-22}{7}[/tex] and

14 = vf - 22 and

36 = vf (not quite right with the sig dig's but I'm guessing you're not really into the specifics much, judging by the acceleration and the time values)

If you were to make a three-dimensional model of magnetic force using a magnet and magnetic field lines, which two characteristics might your model have

Answers

Answer:

- the Magnetic field lines will spread out of the north end of the magnet.

- the magnetic fields will three-dimensional and resemble a bubble.

Explanation:

- Usually, when drawing magnetic field lines, we start outwardly from the North pole to the South Pole. This same direction is also prevalent on the Earth due to the fact that the Earth functions as a giant magnet. Thus, one characteristic of the model is that the Magnetic field lines will spread out of the north end of the magnet.

- Another thing is that Magnetic field forces are usually driven as a result bubble like configuration which affects the objects that are in such a configuration. Thus, another characteristic of the model is that the magnetic fields will three-dimensional and resemble a bubble.

1. A 14-cm tall object is placed 26 cm from a converging lens that has a focal length of 13 cm.

Answers

Answer:

a) Please find attached the required drawing of light passing through the lens

By the use of similar triangles;

The image distance from the lens = 26 cm

The height of the image = 14 cm

c) The image distance from the lens = 26 cm

The height of the image = 14 cm

Explanation:

Question;

a) Determine the image distance and the height of the image

b) Calculate the image position and height

The given parameters are;

The height of the object, h = 14 cm

The distance of the object from the mirror, u = 26 cm

The focal length of the mirror, f = 13 cm

The location of the object = 2 × The focal length

Therefore, given that the center of curvature ≈ 2 × The focal length, we have;

The location of the object ≈ The center of curvature of the lens

The diagram of the object, lens and image created with MS Visio is attached

From the diagram, it can be observed, using similar triangles, that the image distance from the lens = The object distance from the lens = 26 m

The height of the image = The height of the object - 14 cm

b) The lens equation is used for finding the image distance from the lens as follows;

[tex]\dfrac{1}{u} + \dfrac{1}{v} = \dfrac{1}{f}[/tex]

Where;

v = The image distance from the lens

We get;

[tex]v = \dfrac{u \times f}{u - f}[/tex]

Therefore;

[tex]v = \dfrac{26 \times 13}{26 - 13} = \dfrac{26 \times 13}{13} = 26[/tex]

The distance of the image from the lens, v = 26 cm

The magnification, M =v/u

∴ M = 26/26 = 1, therefore, the object and the image are the same size

Therefore;

The height of the image = The height of the object = 14 cm.

300kg of water are lifted 10m vertically in 5s show the work done in 30kj and that power is 6kw . Please help me​

Answers

Answer:

6KW

Explanation:

The computation is shown below:

We know that

Work done= m ×g× h

Here

W= 300×10×10

= 30000 J

= 30 KJ

And

Power= Work done ÷time taken

 P = 30000 ÷ 5

= 6000W

= 6KW

The above represent the answer

Mrs. Botts applies brakes on a car help it to decelerate at the rate of -0.80m/s2. What distance is required to stop the car when it is moving 17 m/s.

Answers

Answer:

Explanation:

vf=0

vi = 17

a = -0.8

Δx = ?

vf^2 = vi^2 + 2 a Δx

Δx = (vf^2 - vi^2) / 2a

Δx = (0-17^2) / 2 (-0.8)

Δx = 180.625 m

1. Do you think that hand signals are important in officiating games? why?​

Answers

Yeah, hand signals are important in officiating games. The hand signals are given by the referee who first signals the fault and then indicates which team has won the point. A point is indicated by one finger at the side of the court to indicate the winner of the rally.

If you have a cube that is 2x2x2 and weighs 5.29 g. How do you find the density?

Answers

Answer:

0.66

Explanation:

Follow the Density Formul d = m/v

so

d = 5.29/8

= 0.66 Density

Just correct me if I'm wrong, I mean like literally :> Thank you! ^^

.66 is the answer
Step by step explanation:
Because I said so


A 40kg girl and a 50kg boy are facing each other on a friction-free rollerskates. The girl pushes the boy, who moves away at a speed of 3 m/s. What is the girl's
speed?
Your answer

Answers

Answer:

Explanation:

The Law of Momentum Conservation, just like the Law of Thermodynamics about energy, says that momentum is neither created nor destroyed but is conserved, meaning it has to go somewhere. If the girl pushes the boy and they are both on friction free skates, then the girl will also react to the push. Momentum Conservation says

[tex](m_gv_g+m_bv_b)_b=(m_gv_g+m_bv_b)_a[/tex] In words this says that the mass times the velocity of the girl plus the mass times the velocity of the boy before the push has to equal the mass times velocity of the girl plus the mass times velocity of the boy after the push. Mathematically,

[tex](40.0*0+50.0*0)_b=(40.0v+50.0*-3)_a[/tex]

The left side of this is equal to 0. On the right, I made the velocity of the boy negative. We could have made it positive and it wouldn't have mattered. The sign will only be important to the result because if the sign of the girl's velocity is the same as the boy's, she is moving in the same direction as he is; if it's different, she is moving in the opposite direction.

0 = 40.0v - 150.0 and

-40.0v = -150.0 so

v = 3.75 This means that when she pushes the boy one way, mometum is conserved and she moves in the opposite direction and at a greater velocity (because her mass is less). Physics is a wonderful thing, isn't it!?

Which type of reaction is modeled by this chemical equation?
2Li + CaCl2 → 2LiCl + Ca
O A. Single-replacement
O B. Combustion
O C. Synthesis
O D. Double-replacement

Answers

The correct answer is Option (A) Single replacement.

What is Single replacement Reaction?

The reaction substituted to the other element is called single replacement reaction.The general equation is A+BX-----> AX+B.Why other options are incorrect?

(B) Combustion is a type of chemical reaction in which a compound and an oxidant is reacted to produce heat and a new product.

(C) Synthesis is the production of chemical compounds by reaction from simpler materials.

(D)A double replacement reaction is a type of chemical reaction where two reactants exchange ions to form two new products with the same type of chemical bonds.

Hence Other options are incorrect and (A) is the correct one

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Answer: single replacement

Explanation:

1 kg of rice is weighed by​

Answers

Answer:

beam balance

Explanation:

A beam balance compares the sample mass with a standard reference mass

A child has a mass of 30 kg on Earth. If th gravity on Moon is one sixth that of the Earth what is the weight of the child on the Moon? Gravity on Earth = 10 N^-1​

Answers

Answer:

the baby would still be 30 kg on the moon because that’s mass, not weight.

However, it will feel like 5 kg, because the acceleration is 1/6 and the force is 1/6 and the actual weight (product of mass and acceleration will be 1/6).

The child has a mass of 30 kg on earth and has one-sixth gravity on the moon will have a weight of 50 kg on the moon.

What is Gravity?

Gravity is a fundamental interaction that causes all objects with mass or energy to attract one another. The weakest of the four fundamental interactions is gravity, by far. The Moon's gravity causes sublunar tides in the oceans, just as gravity on Earth imparts weight to physical objects.

Given:

The mass of the child (m) = 30 kg,

The gravity on the moon (G) = 1/6 of the earth.

To calculate the weight of the child on the moon, use the formula given below,

F = m × a

Here

[tex]F[/tex] is the weight, [tex]m[/tex] is the mass and [tex]a[/tex] is the gravity on earth, gravity on earth [tex]10\ m/s^2[/tex].

Substitute the values

[tex]F=30*10/6[/tex]

[tex]F = 50\ kg[/tex]

Therefore, the weight of a child on the moon is 50 kg.

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which instrument should, ideally, have zero resistance?
A) wheatstone bridge
B) oscilloscope
C) voltmeter
D) ammeter

Answers

The answer is C voltmeter
I think the answer is D) ammeter, because the resistance of the ammeter has to zero, to ensure there is no error readings during measurements.

HELP ME WITH THIS FOR A BRAINLIEST

Answers

Option C: Runs up the slipway 5 s

hope this helped :)

The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. By what factor does the temperature increase?

Answers

Answer: 1.24

Explanation:

Given

Volume becomes half and pressure increases by a factor of 2.5

In adiabatic process [tex]PV^{\gamma}=\text{constant}\ \text{or}\ TV^{\gamma}=\text{constant}[/tex]

Finding out [tex]\gamma[/tex] first

[tex]\Rightarrow PV^{\gamma}=2.5P(0.5V)^{\gamma}\\\\\Rightarrow \left(\dfrac{V}{0.5V}\right)^{\gamma}=2.5\\\\\Rightarrow 2^{\gamma}=2.5\\\\\text{Taking log both side}\\\\\Rightarrow \gamma=\dfrac{\ln (2.5)}{\ln (2)}\\\\\Rightarrow \gamma=1.32[/tex]

Applying same principle for Temperature

[tex]\Rightarrow TV^{1.32-1}=T'(0.5V)^{1.32-1}\\\\\Rightarrow T'=(2)^{0.32}T\\\\\Rightarrow T'=1.24T[/tex]

Thus, the temperature increases by a factor of [tex]1.24[/tex]

The factor by which the temperature increases is; 1.24

How to find increase in temperature in an adiabatic process?

In thermodynamics, an adiabatic process is one that happens when there is zero heat transfer between the system and its environment. Thereafter, the internal energy change becomes the total work done by the system. The formula associated with this process for an ideal gas is;

[tex]PV^{\gamma }[/tex] = Constant

We are told that there is an increase in pressure by a factor of 2.5 and that the volume is halved. Thus, we will have;

[tex]PV^{\gamma} = 2.5P(0.5V)^{\gamma}[/tex]

This will be simplified to;

[tex](\frac{1}{0.5})^{\gamma} = 2.5[/tex]

⇒ [tex]\gamma = \frac{In2.5}{In 2}[/tex]

γ = 1.32

Now, If the volume expands in an adiabatic process, then the volume temperature relation is expressed as:

[tex]T_{1}V_{1}^{\gamma - 1 } = T_{2}V_{2}^{\gamma - 1 }[/tex]

[tex]T_{1}V_{1}^{1.32 - 1 } = T_{2}(0.5V_{1})^{1.32 - 1 }[/tex]

Simplifying this gives;

T₁ = 1.24T₂

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What is a photon?
A. A package of a specific amount of energy
B. A single light wave
C. A subatomic particle in an atom
D. An electron that has been removed from its atom

Answers

Answer:

B

Explanation:

The reason its B is because.

Which is not a common property of ionic compounds?



high melting point


good conductivity as a liquid


low melting point

Answers

Answer:

low melting point

Ionic compounds have high melting and boiling points. This is because a considerable amount of energy is required to break the strong inter-ionic attraction

Explanation:

A man walks 11m west then 12m south . What is the magnitude of his displacement?

Answers

The magnitude of man's displacement at the given initial position and final position is 16.28 km.

Displacement pf the man

The displacement of the man is the shortest distance between the final position and the initial position. It can also be described as the change in the position of the man.

The magnitude of the man's displacement is calculated as follows;

d² = 11² + 12²

d² = 265

d = √265

d = 16.28 km

Thus, the magnitude of man's displacement at the given initial position and final position is 16.28 km.

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A trip is taken that passes through the following points in order
Point A Om
Point B 15.0 m
Point C -30.0 m
Point D 20.0 m
Point E -10.0 m
Point F 5.0 m
What is the displacement from Point B to Point E?

A) 5.0 m right
B) 85 m right
C) 25.0 m left
D) 85 m left

Answers

Answer:

The displacement from point B to point E is 25.0 m left

why would the planets move in a straight path if there was no gravitational energy from the sun​

Answers

Explanation:

The sun's gravitational force is very strong. If it were not, a planet would move in a straight line out into space. The sun's gravity pulls the planet toward the sun, which changes the straight line of direction into a curve. This keeps the planet moving in an orbit around the sun

Answer and Explanation:

The planets would move in a straight path since there would be no source that will be acting upon them (if the sun wasn't there).

Gravitational pull is the amount of force that an object emits. Due to the Sun having a larger mass and a larger gravitational pull, the planets orbit around it.  

If, for example, a house was bigger than everything, including planets and stuff, those things would orbit around the house.

A real life example is the moon orbiting Earth. The Earth has a greater magnitude and mass, so it is able to pull the Moon.

Right now the Sun is the external force, as its gravitational pull is moving the planets around. IF the sun was to magically disappear, the planets won't follow an orbit anymore, since there isn't a gravitational pull on them. This leads them to going in a straight line for possibly a couple years.

Eventually, the planets will stop going in a straight line and start to orbit each other, leading to the planets eventually crashing.

External Force = Sun's gravitational pull because of bigger mass

The planets themselves were created after the sun (though some minerals were created before the sun, but that's minerals and not the planet entirely). The sun gives the planet's their motion. The planets, however (though I'm not sure about mercury and Venus) are going super fast, fast enough to where they aren't being pulled into the sun, but not fast enough to go out of orbit.

If the sun goes out magically, the planets, actually yes will continue orbit due to them being in that motion at such a fast rate, but eventually when they are supposed to turn again, (like, to another part of the sun), the would go straight. Eventually, the will get into the orbit of something else and start going around that object's orbit, most likely outcome being that they crash.

The excess force from no gravitational pull will make the planets go in a straight path. Since nothing is acting upon it, the planets would move in a straight line. Imagine if you were on those spinning circle things, and then let go. You would go around it for like a second and then go immediately straight in one direction.

#teamtrees #PAW (Plant And Water)

Using dimensional analysis prove that work = force x displacement
please answer to correct answer i will give 50 points

Answers

Answer:

Work = M1 L2 T^-2

Force =M1 L1 T^-2

displacement = L1

Work = F.ds

Work = M1 L1 T^-2 L1

work = M1 L2 T^-2

Rahul and Sonia were playing with blocks and each of them made a train out of them. Both of them thought of measuring the length of the train using their handspan. By that time Rahul's friend Anupam came and suggested them to measure with a measuring tape for fair result. (a) They measured their train using their outstretched hand. What unit do you think they used? (b) Why Anupam asked both of them to use measuring tape? (c) What value of Anupam is shown here? (2.5M)

Answers

Answer:

They measured their train using their handspan

Dos carritos se colocan en una mesa sobre la que pueden moverse sin rozamiento y se sujetan comprimiendo un resorte entre ellos. El carrito 1 tiene doble masa que el 2. De pronto se sueltan. A) Compara las velocidades, cantidades de movimiento y energías cinéticas que adquieren, b) ¿Cómo serían las respuestas si la masa del carrito 1 fuese mucho mayor que la del 2?

Answers

Answer:

a)  v₁ = - ½ v₂,  K₁ / K ₂ = ½,)

Explanation:

A) Let's use the conservation of the moment, for this we define the system formed by the spring and the two cars, so the force during the separation is internal, therefore the moment is conserved

initial instant. Before releasing the carts

         p₀ = 0

final instant. After jumping the cars

         p_f = M v₁ + m v₂₂

how the moment was preserved

        p₀ = p_f

        0 = M v₁ + m v₂

        v₁ = - m / M v₂

indicate that M = 2m

        v₁ = - ½ v₂

the kinetic energy of each car is

        K₁ = ½ M v₁²

        K₁ = ½ 2m (v₂/ 2) ²

        K₁ = m ₂v₂² / 4

        K₂ = ½ m v₂²

the relationship between the kinetic energies is

         K₁ / K₂ = ½

B) If the much greater than the mass of car 1 is mass of car 2

        v = - m / M v₂

         In this case, the speed of car 1 is very small, so the car 1 practitioner does not backtrack and car 2 leaves with a lot of speed.

The energy is still conserved, where almost all the energy has it is car 2

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