A marble is released from rest at the top of a ramp and it rolls down the ramp for 5 seconds. The position of the marble is shown once every second. The angle of the ramp allows the force due to gravity to accelerate the marble at 4.5 m/s^2. How far does the marble travel from the top of the ramp after 5 seconds?

Answers

Answer 1

The marble travel from the top of the ramp is  56.25 m.

Ramp is can be understand in physics, such as the inclined planes, also referred to as ramps . That means,ramp is a type of simple machine which manipulate the direction and magnitude of a force. It is very useful machine by which we can understand the problems in mechenics .

We are given that,

The marble rolls down from the ramp in time = t = 5s

Acceleration of the marble due to gravity = a = 4.5 m/s²

Therefore , for getting the distance (s) of the marble which travelled from the top of the ramp by using the equation of motion i.e. given as,

s = ut + (1/2) at²

Here the marble released from thew rest at the top of the ramp so that initial velocity u = 0 , therefore after putting the value above equation can be written as,

s = (1/2)× 4.5 m/s²×5s × 5s

s = 56.25 m

Hence, the marble travel from the top of the ramp 56.25 m after 5 seconds.

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Related Questions

Positively charged particles of radiation emitted from the decay of radioactive substances are known as.

Answers

Positively charged particles of radiation emitted from the decay of radioactive substances are known as alpha particles.

What is an alpha particle?

A helium nucleus that some radioactive compounds release that was once thought to be a ray. Ionized alpha particles are made up of two protons, neutrons ( no charge), and no electrons.

Two protons and two neutrons from the atom's nucleus combine to form the positive charge alpha particles (α). The most toxic radioactive materials, such as uranium, radium, and polonium, decay to produce alpha particles.

A ray-like emission of a helium nucleus from some radioactive materials.

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An amusement park designer wants his swing to have a centripetal
acceleration of 21 m/s2. If the velocity of the swing is 13 m/s, how long
should the chain on the swing be?

Answers

The chain on the swing should be 8.0 m long .

Centripetal Acceleration ( a ) = v ² / r ........... Eq. 1

It is given that ,

a = 21 m / s ²

v = 13 m / s

Now ,  using the values of ' a ' and ' v ' i.e. 21 m / s ² & 13 m / s respectively in Eq. 1

a =  v ² / r

21 = ( 13 ) ² / r

21 = ( 13 x 13 ) / r

r = ( 13 x 13 ) / 21

r = 8.047 m

⇒ r = 8.0 m ( rounded off to nearest tenth )

Hence , the chain on the swing should be 8.0 m long .

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three scientists measure the standard meter bar kept at the international bureau of standards (the definition of a meter). their measurements are 1.01 m, 0.99 m, and 1.00 m. are their measurements accurate, precise, or both? group of answer choices accurate but not precise neither accurate nor precise precise by not accurate accurate and precise

Answers

The measurements by the different scientists were 1.01 m, 0.99 m and 1.00 m,  which are not exactly same as the standard value of a meter. But all the three values are very much close to each other.

Meter is a fundamental unit of length in the metric system and in the International Systems of Units (SI). It is denoted by m.

Therefore the measurements for the bar kept at the international bureau of standards taken by the three scientists were precise but not accurate.

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One pole of a magnet attracts a nail. Will the other pole of the magnet attract the nail? Explain. Also explain how a magnet sticks to a refrigerator door.

Answers

Yes, either pole generates a field that causes atoms within the iron to rotate in order to align their magnetic moments with the exterior field.

A magnet has a significant normal force acting on the door. The magnet is then held in place by frictional force.

What is a magnet?

A magnet is defined as a magnetic field-producing item capable of attracting unlike poles and repelling similar poles.

Magnets are manufactured from a class of metals known as ferromagnetic metals. These metals include nickel and iron. These metals are unusual in their ability to magnetize consistently. When we ask how a magnet works, we mean how the magnetic field of a magnet affects the thing.

There are many different sizes and shapes of magnets.

Magnets can be found in a variety of objects and settings, including toys, cabinet hardware, ornamental pieces placed on refrigerators, and other objects and sites.

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The subatomic particles that are least massive and most massive respectively are the.

Answers

The subatomic particles that are least massive and most massive are the electron and neutron respectively.

Subatomic particles are defined as the elementary particles which make the fundamental constituents of all matter. The subatomic particles constitute the negatively charged electrons, the positively charged protons, and the neutral neutrons which do not have any charge on them.

Protons and neutrons on the other hand are made up of other elementary particles namely quarks. Subatomic particles have emerged a lot in the coming days with the construction of particle accelerators.

The electron is the least massive subatomic particle. It carries a negative charge of 1.602176634 × 10^−19 coulomb which is about 0.000548 amu.

Neutron is the heaviest subatomic particle having a mass of about 1.008 amu.

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velocity changes from 2m/s to 12m/s time taken is 5 seconds (with the guess method pleasee)

Answers

Answer:

a  = 2 m/c²

Explanation:

Given:

V₁ = 2 m/s

V₂ = `12 m/s

t = 5 c

______________

a -?

Acceleration:

a = ( V₂ - V₁) / t

a = ( 12 - 2 ) / 5 = 10 / 5 = 2 m/c²


The furniture was designed to go a top speed of 87.0mph. How far would this sofa travel to the mall 1.00 hour away?

Answers

The sofa with a top speed of 87 mph would travel a distance of 43.5 miles to the mall 1 hour away.

Considering the sofa accelerates constantly throughout the motion,

s = ( u + v )  t / 2

s = Distance

u = Initial velocity

v = Final velocity

t = Time

v = 87 mph

t = 1 hr

u = 0

s = ( u + v )  t / 2

s = ( 0 + 87 ) 1 / 2

s = 43.5 mi

This is an equation of motion.

Therefore, the sofa would travel a distance of 43.5 miles

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Owen and Dina are at rest in frame S' , which is moving at 0.600 c with respect to frame S . They play a game of catch while Ed , at rest in frame S , watches the action (Fig. P39.75). Owen throws the ball to Dina at 0.800 c (according to Owen), and their separation (measured in S' ) is equal to 1.80 × 10¹²m .(a) According to Dina, how fast is the ball moving?

Answers

The speed of the ball with respect to Dina is 0.800c.

A frame of reference is a set of reference points—geometric points whose positions are known mathematically and physically—that define the origin, orientation, and scale of an abstract coordinate system.

If a body does not continuously adjust its position in relation to its environment throughout the course of time, it is said to be at rest.

In frame S', Dina and Owen are at rest.

The speed of the ball with respect to Owen, u =0.800c

The speed of the frame S' with respect to frame S,  v = 0.600c

Distance between Dina and Owen, L(p) = 1.8 × 10¹² m

Speed of light, c = 3 × 10⁸ m/s

Therefore, the speed of the ball according to Dina is 0.800c. As Dina and Owen are in the same frame.

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Rank the wavelengths of the following quantum particles from the largest to the smallest. If any have equal wavelengths, display the equality in your ranking. (a) a photon with energy 3eV(b) an electron with kinetic energy 3eV(c) a proton with kinetic energy 3eV(d) a photon with energy 0.3eV(e) an electron with momentum 3eV/c

Answers

The wavelengths of the following quantum particles from the largest to the smallest is (d) > (a) = (e) > (b) > (c)

De Broglie proposed that because light has both wave and particle properties, matter exhibits both wave and particle properties. This property has been explained as the dual behavior of matter. From his observations, de Broglie derived the relationship between the wavelength and momentum of matter. This relationship is known as de Broglie's relationship.

De Broglie's relationship is given by  [tex]\lambda=\frac{h}{mv}[/tex] .

This can be written as [tex]\lambda=\frac{h}{p}[/tex]  .....(1) where λ  is known as de Broglie wavelength and p is momentum , h = Plank’s constant .

As we know that mass of proton is greater than electron and photon .

(a)For photon , the momentum is given by [tex]p=\frac{E}{c}[/tex]     ...(2)  where c is the speed is the speed of light .

Putting E = 3eV in equation (2) , we get

              [tex]p=\frac{3\times 1.6\times10^-^1^9}{3\times 10^8} \\p=1.6\times10^-^2^7Js/m[/tex]

Putting this value of p in equation (1) , we get

  [tex]\lambda=\frac{6.62\times10^{-34}}{1.6\times10^{-27}}\\\lambda=4.13\times10^{-7}[/tex]

(b) As we know that  kinetic energy is given by

         [tex]K.E=\frac{1}{2} mv^2\\\\2K.E = mv^2\\2K.E\times m = m^2v^2\\2K.E\times m = (mv)^2\\2K.E\times m = p^2\\\\\sqrt{2K.E\times m }=p[/tex]      ...(3)

Where mass of electron is [tex]9.1\times10^-^3^1 kg[/tex] .

Putting K.E = 3eV in equation (3) , we get

    [tex]\sqrt{2K.E\times m }=p\\p=\sqrt{2\times3\times1.6\times10^{-19} \times 9.31\times10^{-31} }\\p=\sqrt{89.376\times10^{-50}} \\p=9.45\times10^{-25}Js/m[/tex]

Putting this value of p in equation (1) , we get

[tex]\lambda=\frac{6.62\times10^{-34}}{9.45\times10^{-25}}\\\lambda=0.7005\times10^{-9}[/tex]

(c) Putting [tex]m=1.67\times10^{-27}kg[/tex] and K.E = 3eV in equation (3) , we get

     [tex]\sqrt{2K.E\times m }=p\\p=\sqrt{2\times3\times1.6\times10^{-19} \times 1.67\times10^{-27} }\\p=\sqrt{16.032\times10^{-46}} \\p=4.003\times10^{-23}Js/m[/tex]

Putting this value of p in equation (1) , we get

[tex]\lambda=\frac{6.62\times10^{-34}}{4.003\times10^{-23}}\\\lambda=1.65\times10^{-11}[/tex]

(d) Putting E = 0.3eV in equation (2) , we get

   [tex]p=\frac{0.3\times 1.6\times10^-^1^9}{3\times 10^8} \\p=1.6\times10^-^2^8Js/m[/tex]

Putting this value of p in equation (1) , we get

[tex]\lambda=\frac{6.62\times10^{-34}}{1.6\times10^{-28}}\\\lambda=4.13\times10^{-6}[/tex]

(e) Putting [tex]p=3eV/c[/tex] in equation (1) , we get

    [tex]\lambda=\frac{6.62\times10^{-34}\\\times3\times10^8}{3\times1.6\times10^{-19}}\\\lambda=4.13\times10^{-7}[/tex]

On comparing the wavelength order should be (d) > (a) = (e) > (b) > (c) .

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a total charge of 300 c flows past a given cross section of a conductor in 30 seconds. what is the value of the current?

Answers

Explanation:

Q = charge in C(coulombs)

I = current in A(amps)

t = time in s(seconds)

Q = I × t

I = Q / t

Substitute in given values.

I = 300C / 30s

= 10A

Hope this helped! ^^

The electric current generated by a charge of 300 coulombs passing through the cross section of a conductor in a time of 30 seconds is: 10 A

To solve this exercise the formula for electric current and the procedure we will use is:

I= q/t

Where:

I = intensity of the electric currentq= electric charget = time

Information about the problem:

q= 300 Ct = 30 sI=?1 C/s = 1 A

Applying the electric current intensity formula we have:

I= q/t

I= 300 C / 30 s

I= 10 A

What is electric current intensity?

In physics the intensity of the electric current is the magnitude that expresses the amount of electric charge or electric current in coulomb (c) that passes through an electrical conductor in a given time in seconds (s). Its unit of measurement in the international system is the Ampere (A).

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13. Two identical metallic spheres A and B, each carry- ing a charge q, repel each other with a force F. A third metallic sphere C of the same size, but un- charged, is successively made to touch the spheres A and B, and then removed away. What is the force of repulsion between A and B? (Ans. 3F/8) 4.​

Answers

Answer:

Who knows the answer please I need the answer

A 2 kg block of cheese is in an elevator accelerating down at a rate of 1.5 m/s².
What is the normal force on the cheese?

Answers

F=ma
M: 2kg
A: 1.5 m/^2
F=2*1.5
F= 3

A 100kg box is on an incline of 60 degrees. What is the perpendicular force

Answers

Answer:

490N

Explanation:

the formula to use for perpendicular force is:

[tex]Fg=mg(cos\theta)[/tex]  

now we plug in:

*for g, it can be 9.8 m/s^2 or 10 m/s^2 depending on your teacher

[tex]Fg=(100)(9.8)(cos60)[/tex]

then you get:

[tex]Fg=490N[/tex]

Pressure is a derived quantity with a formula suxh as Force per unit area what do you think which base quantities will be involved to form this derived quantity.​

Answers

Answer:

you can find answer in this

Explanation:

https://physics.nist.gov/cuu/Units/units.html

Which question would best determine how electromagnetic and mechanical waves are similar?

Answers

The question 'How do electromagnetic and mechanical waves compare?'

There are many similarities between electromagnetic waves and mechanical waves.

In Physics, both electromagnetic and mechanical waves have amplitude, wavelength, and frequency.

Electromagnetic waves can travel through empty spaces as well such as vacuums, gases, liquids, and solids.

While mechanical waves can not propagate through space they can only travel through liquids, solids, and gases.

water waves and ripples in a pool are examples of mechanical waves.

Examples of EM waves are radio signals and light waves, microwaves, and X-rays.

To put it simply, EM waves do not require a medium to travel whereas mechanical waves require a medium to propagate.

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Using 6. 0×1024 kg for the mass of the earth, what is the acceleration of the earth toward her as she accelerates toward the earth with an acceleration of 9. 8 m/s2 ? assume that the net force on the earth is the force of gravity she exerts on it.

Answers

   The value of the acceleration of the earth toward it when it accelerates toward the earth with 9.8m/s² is a = 7.35×10-²³m/s².

What is acceleration?

  Acceleration in theoretical terms refers to the derivative of the velocity function, it is the rate of change of this variable, and the physical magnitude of the motion that gives rise to the change of position.

What are forces?

   Forces are the definition of Newton's second law, which is stated under the relation:

∑ Force = mass × acceleration.

  In other words, force is the origin of motion since it generates acceleration in a system.

   In this case we must complete the statement:

"A student with mass 45 kg jumps off a high diving board. Using 6. 0×1024 kg for the mass of the earth, what is the acceleration of the earth toward her as she accelerates toward the earth with an acceleration of 9. 8 m/s2 ? assume that the net force on the earth is the force of gravity she exerts on it."

  We determine the Force of the student:

F = ma

F = 45kg * 9.8m/s².

F = 441N

  Now we go to the acceleration of the earth:

a = F/m

a = 441N / 6×10²⁴ Kg

a = 7.35×10-²³m/s².

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What is inertia and how does it relate to Newton's first law of motion?

Answers

Answer:

inertia is basically the fact that something will continue moving until something else stops it.  take friction for example.  If you roll a ball on the ground, it will eventually stop because of friction, you can kind of think of it like a gear wheel.  and i guess it relates to newtons first law of motion because it is his first law?? i don't know how to answer that

Explanation:

Answer please with working out

Answers

1.
a. Speed = distance/time
b. 1500/300 = 5m/s
c. 10 - 2 = 8/2.4 = 3.33 seconds

2.
a. 0.46 x 2.4 = 1.104 metres
b. 78.4/8 = 9.8 m/2²

Answer:

(1) a) S=D/T

b)5m/s

c)3.33s

(2) a) 1.104m

Explanation:

(1) b) S=D/T

 S=1500/300

 S=5m/s

c) T= V-U/a

 v=10

 u= 2

 a= 2.4

10-2=8/2.4=3.33s

(2) a) d=s×t

 0.46×2.4=1.104m



if you run off the pavement, you should: steer straight ahead and speed up steer straight and slow down before attempting to return to the pavement turn the steering wheel quickly toward the road apply the brakes hard submit answer

Answers

If you run off the pavement, you should turn the steering wheel quickly toward the road and is denoted as option C.

What is Pavement?

This is a path which is found in almost all roads and is designed to enhance foot traffic in most climes. This is the path where individuals walk so as not to get hit down by a vehicle.

In a situation where a car runs into the pavement, the best choice is to turn the steering wheel quickly toward the road as braking hard could damage the brakes of the car and cause accident in subsequent trips.

This is therefore why option C was chosen as the correct choice.

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Answer: Steer straight and slow down before attempting

Explanation:

What is the mass of a rocket 5,000m above the Moon’s surface if 84kJ
of gravitational potential energy is stored? Assume g on the Moon =
1.63N/kg.

Answers

Considering the definition of potential energy, the mass of a rocket 5,000 m above the Moon’s surface is 10.31 kg.

Potential energy

Potential energy is the energy that measures the ability of a system to do work based on its position. In other words, this is the energy that a body located at a certain height above the ground has.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the strength of gravity. Then, the expression applied to the gravitational energy of the object is:

Ep= m×g×h

Where:

Ep is the potential energy in joules (J).m is the mass in kilograms (kg). h is the height in meters (m).g is the acceleration of the fall in m/s².

Mass of the rocket

In this case, you know:

Ep= 84 kJ= 84,000 J (being 1 kJ= 1,000 J)m= ?h= 5,000 mg= 1.63 N/kg= 1.63 m/s²

Replacing in the definition of gravitational potential energy:

84,000 J= m×1.63 m/s²×5,000 m

Solving:

84,000 J= m× 8,150 m/s²×m

84,000 J÷ (8,150 m/s²×m)= m

10.31 kg= m

Finally, the mass of a rocket 5,000 m above the Moon’s surface is 10.31 kg.

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Help please ;((((((((

Answers

Answer:

42- electromagnetic force

Explanation:

electrons keep orbiting around the nucleus thanks to electromagnetic force :)

hope this helped!

who is Isacc.Newton??​

Answers

Answer:

Sir Isaac Newton contributed significantly to the field of science over his lifetime. He invented calculus (opens in new tab) and provided a clear understanding of optics. But his most significant work had to do with forces, and specifically with the development of a universal law of gravitation and his laws of motion

Explanation:

A genius with dark secrets. Isaac Newton changed the way we understand the Universe. Revered in his own lifetime, he discovered the laws of gravity and motion and invented calculus. He helped to shape our rational world view.

A wire 2.80m in length carries a current of 5.00A in a region where a uniform magnetic field has a magnitude of 0.390T. Calculate the magnitude of the magnetic force on the wire assuming the angle between the magnetic field and the current is (b) 90.0° .

Answers

The force on the wire will be

F = 5.46 Newton.

We have a current carrying wire in a uniform magnetic field.

We have to determine the magnitude of the magnetic force on the wire assuming the angle between the magnetic field and the current is 60.0°.

What is the magnitude of force acting on a current (I) carrying wire of length (L) placed in a Magnetic field (B)?

The force on the current carrying wire will be -

F = IBL sinθ

According to the question, we have -

L = 2.80 m

I = 5 A

B = 0.39 T

Therefore -

F = IBL sinθ

F = 5 x 0.39 x 2.80 x sin(90)

F = 5.46 x sin(90)

F = 5.46 Newton

Hence, the force on the wire will be

F = 5.46 Newton

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The magnitude of the magnetic force on the wire 5.46 N.

To find the magnetic force, the values given are:

Length A = 2.80m

Current I = 5 A

Magnetic field B = 0.390 T

Angle = 90° .

What is meant by magnetic force?

The attraction or repulsion that arises between electrically charged particles because of their motion is called Magnetic force.Magnetic force is the basic force which is responsible for such effects as the action of electric motors and the attraction of magnets.A force experienced through the magnetic field with some moving charges is perpendicular to its own velocity.The formula to find the magnetic force,

                      F =iBLsinθ Newton

Substituting the values given,

Magnetic force,

F = 5 A × 0.390 T × 2.80 m × Sin 90°

  = 5 A × 0.390 T × 2.80 m × 1

F = 5.46 N.

The magnitude of the magnetic force on the wire 5.46 N.

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when driving downhill, gravity will cause you to go slower and decrease your stopping distance. a. true b. false

Answers

False.While driving downhill, the gravity will cause you to go faster and increase your stopping distance.

What is stopping distance?

Brakes are suddenly applied while the body is travelling at a given speed. You would have observed that after travelling a given distance, the body stops entirely. The stopping distance is that distance.

The distance travelled between the moment the body decides to stop a moving vehicle and the moment the vehicle comes to a complete stop is known as the stopping distance. The stopping distance, indicated by the letter d, is dependent on a number of variables, including as the road's surface and the driver's reflexes.

Stopping Distance formula is given by,

[tex]d=\frac{v^{2} }{2ug}[/tex]

Where,

d = stopping distance (m)

v = velocity (m/s)

μ = friction coefficient

g = the gravitational acceleration

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A tank for compressed gas has a maximum safe pressure limit of 850 kPa. The pressure
gauge reads 425 kPa when the temperature is 28°C. What is the highest temp in degrees
Celsius the tank can withstand safely?

Answers

Answer: 56 degrees Celsius

Explanation: 425 is half of 850, so we double the temp to get the answer.

which truth did isaac newton’s investigations of gravity explain? jupiter has more moons than earth. jupiter has more moons than earth. the sun is more massive than earth. the sun is more massive than earth. gravity acts on all objects in the universe. gravity acts on all objects in the universe. earth is not the center of the universe. earth is not the center of the universe.

Answers

Newton's investigations of gravity explain the truth that Jupiter has more moons than Earth.

The fact that Jupiter has more moons than Earth was first discovered by Galileo Galilei in 1610, and it was later confirmed by Newton. In addition to having more moons, it is also thought that Jupiter may be home to some of the most powerful magnetic fields in the solar system.

What was explained by Isaac Newton's law of gravity?

Every particle in the cosmos attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.

Thus, the equation for universal gravity has the following structure:

[tex]{\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}}{\displaystyle[/tex]

where r is the distance between the centers of the two objects' masses, m1 and m2 are their respective masses, G is the gravitational constant, and F is the gravitational force acting between them.

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The correct answer is; Gravity acts on all objects in the universe.

The answer above is incorrect…

an object of mass m is traveling at constant speed v in a circular path of radius r. how much work is done by the centripetal force on mass m during an angular displacement of 2π revolutions?: *

Answers

The work done is by the centripetal force on mass m during an angular displacement of 2π revolutions mv²2π /r J

Centripetal force - a force acts on an moving object in circular path.

the centripetal force is given by

F= mv²/r       (equation1)

Work done is given by

W = Fd          (equation 2)

d = 2π

work is done by the centripetal force on mass m during an angular displacement of 2π revolutions is given by:

to calculate work done using equation 1 in 2  we get

W = mv² d/r

 W = mv² × 2π /r J

The work done is by the centripetal force on mass m during an angular displacement of 2π revolutions mv²2π /r J

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Which two types of potential energies would be types of mechanical energies?

electrical and kinetic
nuclear and chemical
radiant and thermal
elastic and gravitational

Answers

The two types of potential energies which would be types of mechanical energies are elastic and gravitational.

The correct answer choice is option D

What is meant by potential energy?

Potential energy means the energy a body possess in relation to its position. Other forms of energy include

Electrical energyKinetic energyChemical energySound energyNuclear energy Thermal energy Radiant energy

Kinetic energy is the energy a body possesses due to its motion.

So therefore, the two types of potential energies which would be types of mechanical energies are elastic and gravitational. The correct answer choice is option D

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Answer: it is d

Explanation: i took the unit test on edge

the coefficient of performance of a residential heat pump is 1.6. calculate the heating effect in kj/s this heat pump will produce when it consumes 2 kw of electrical power.

Answers

The heating effect in with the residential heat pump will be  3.2 KJ/s

Heat pump - mechanical device which convert heat from low temperature to high temperature reservoir with the use of external work.

Heating effect - it is the change of electrical energy which passes through the conductor into heat energy.

The rate of heat produced. [tex]Q_{H}[/tex] is calculated by

The coefficient of residential heat pump = 1.6

The consume of electric power = 2kw

The rate of heat produced.( [tex]Q_{H}[/tex]) =

The coefficient of performance × consume of electric power

[tex]Q_{H}[/tex] = 1.6 × 2

= 3.2 KJ/s

The heating effect in with the residential heat pump will be  3.2 KJ/s

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Q|C The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 km/s . The rod is given a sharp hammer blow at one end. A listener at the far end of the rod hears the sound twice, transmitted through the metal and through air, with a time interval Δt between the two pulses.(d) Imagine that the copper rod is replaced by another material through which the speed of sound is v_r . What is the length of the rod in terms of t and v_r ?

Answers

The length of rod in terms v(r) and t is L = [  Δt / (1/343) - (1/v(r)) ].

3.56 km/s is the speed of a one-dimensional compressional wave moving along a thin copper rod.

At one end of the rod, a hard hammer strike is delivered. With a time interval of Δt between the two pulses, a listener at the other end of the rod hears the sound twice as it travels through the metal and the air.

The time interval is given by t = L/v.

We know, The speed of air, v(air) = 343 m/s

Now,

When the copper rod is swapped out for a different substance and the sound speed is measured as v(r).

The delay between pulses arrivals is:

Δt = L [(1/v(air)) - (1/v(copper))]

Then,

L = [  Δt / (1/v(air)) - (1/v(r)) ]

L = [  Δt / (1/343) - (1/v(r)) ]

Here L is the length of the rod, Δt is in seconds and v(r) is the speed of sound in the rod.

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