Which equation expresses the conservation of mechanical energy in a system where the only forms of mechanical energy are kinetic energy and elastic potential energy?

a.

1/2mvi2 + mghi = 1/2mvf2 + mghf

b.

1/2mvi2 + mghi + 1/2kxi2 = 1/2mvf2 + mghf + 1/2kxf2

c.

1/2mvi2 + 1/2kxi2 = 1/2mvf2 + 1/2kxf2

d.

mei = mef

Answer:

B

Explanation:

Formula

Mechanical advantage = length of the ramp / height

Givens

Length of the ramp = 8

Mechanical advantage = 2

height = ?

Solution

2 = 8feet / height                                  Multiply both sides by height

2* height = 8 feet * height / height      Combine

2* height  = 8 feet                                 Divide by 2

2*height/2 = 8 feet/2                              

height = 4 feet.

Answer:

I believe it wouled be Nutrients

Explanation:

hope this helps if not please let me know

Answer:

it way the most on jupiter and the least on mars

Explanation:

For a sample of helium behaves as an ideal gas as it is heated at constant pressure from 293 K to 363 K, the mass of the helium sample  is mathematically given as

n= 0.0986 g

Generally, the equation for the ideal gas  is mathematically given as

PV=nRT

Therefore

W = P*(V2-V1)

W=nR(T2- T1)

n = W / (R*(T2 - T1) )

n= 4g/mol ∙ 16 J / (8.3145J/molK ∙ (351K - 273K) )

n= 0.0986 g

In conclusion, the mass of the helium sample

n= 0.0986 g

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the power developed when, 20 joules of work are done in 4.0 second.

power= workdone/ time

here workdone= 20 joules

time taken= 4.0s

so putting these values in the above formula, we get:

power= 20/4.0

=5.0 watts

answer= option b) 5.0 watts

[tex]\bold\blue{Formula : }[/tex]

[tex]\bold{Power = \frac{energy}{time} }[/tex]

[tex]\bold\blue{Given : }[/tex]

[tex]\bold\blue{ Solution : }[/tex]

[tex]\bold{Power = \frac{energy}{time} }[/tex]

[tex]\bold{Power = \frac{20}{4.0} }[/tex]

[tex] \bold{ Power = 5.0}[/tex]

So , B.) 5.0 watts is answer .

The volume of one rubber ball and the cost of producing one ball and the profit will it make on each ball will be 20.58 cm³, $0.09261, and $0.40739 respectively.

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

The given data in the problem is;

r is the Rubber balls = 1.7 cm

V is the volume

C is the cost of production

P is the profit

The volume of the rubber ball is  found as;

[tex]\rm v= \frac{4}{3} \pi r^3 \\\\ \rm v= \frac{4}{3} \times 3.14 (4.913)^3 \\\\ \rm v= 20.58 cm^3[/tex]

If the price of the rubber required to make a ball is $0.0045/cm3, the ball's production cost will be $0.0045/cm3.

The cost of a ball is the multiplication of the cost of one ball and the selling price of the ball;

C = 0.0045 x 20.58

C = $0.09261

P is the profit gained and profit is the subtraction of the selling price and cost price.

P = S.P.-C.P.

P=0.5 - 0.09261

P = $0.40739

Hence the volume of one rubber ball and the cost of producing one ball and the profit will it make on each ball will be 20.58 cm³, $0.09261, and $0.40739 respectively.

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Answer:  

1: C

2: C

3: A

Explanation: just did it

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Amplitude and frequency are two properties of sound waves that decreases as distance from source decrease.

Therefore, as the ambulance moves away,

So, correct choice is D

Answer:

The three reasons for this is because of high enrgy density, self-discharge, and small amount of energy.

Explanation:

These are why that happens.

Hope this helps!

-Justin

Answer:

F = Q V X B

V X B = south X downard = East - deflection is West

Since Q is negative the deflection = West

a = F / m = Q V B / m

a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31

a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2

Answer:

One of the indirect proofs that orbits change is actually in the growth of our own teeth when we were children. our teeth are some of the most basic, and primitive

parts of our bodies. They grow on a 9 day cycle, which was an ancient full moon to full moon cycle when the Earth and the Moon were a lot smaller, and closer together, and the co-orbital period was only 9 days, not the 29.5 days that it is currently.

So Given any two " Planets " that co-orbit a common gravitational center, the larger planet will grow larger far faster than the smaller planet, and the larger planet will accelerate the smaller planet to a higher orbit with a longer period, and decelerate itself to a lower orbit with a longer period, and the absolute value of the center to center distance will increase, and the orbital period will increase. The two orbs and their common gravitational center will remain co-linear through out the gradual growing and changing process.

This is an important process for the enlargement of the solar system as time passes, and an important process for larger galaxies as they attract and merge with smaller galaxies.

All of the planets grow larger at an accelerating rate, and thus systems spiral outward concentrating mass into larger and fewer galaxies, solar systems, and planet - moon systems.

Answer:

Sponges

Explanation:

It would be either sponges or flatworms.

I apologize if it is incorrect-
I hope it helps! Have a great day!

Anygays-

The delusion of grandeur is a false belief that emphasizes self-importance. Option b is correct.

Delusions are characterized as persistent, erroneous beliefs that contradict reality. A person in a delusional condition is unable to let go of their convictions, despite opposing facts.

Misinterpretation of circumstances frequently reinforces delusions. Many illusions are accompanied by some degree of paranoia.

One of the most prevalent is delusions of grandeur. It's when you imagine you have more power, riches, intelligence, or other great qualities than you actually do.

The delusion of grandeur is a false belief that emphasizes self-importance.

Hence option b is correct.

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Answer:

B. emphasizes self-importance

Explanation:

got it right on edge 2022

Since a 1.03 × 10² mA current is used to charge up the parallel plate capacitor and a large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm

This shows the relationship between the magnetic field, B, the path of integration, ds and the current enclosed by the magnetic field, i.

Ampere's law is given mathematically as

∫B.ds = μ₀i where

Given that for the large square piece of paper, the current used to charge the capacitor is

Since ∫B.ds = μ₀i

Substituting the values of the variables into the equation, we have

∫B.ds = μ₀i

∫B.ds = 4π × 10⁻⁷ Tm/A × 1.03 × 10⁻¹ A

∫B.ds = 4.12π × 10⁻⁸ Tm

∫B.ds = 12.94 × 10⁻⁸ Tm

∫B.ds = 1.294 × 10⁻⁷ Tm

∫B.ds ≅ 1.29 × 10⁻⁷ Tm

So, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm

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Answer:

the answer would be c

Explanation:

Answer:

593 mAmps

Explanation:

Power = 80 watts =  VI

               80 = 135 I

                 80/135 = I =

Answer:

2.47 m/s

Explanation:

Momentum = Mass X Velocity

If they were locked together, it means its a perfectly inelastic collision. Therefore,

Total momentum before = Total momentum after

Total momentum before = (20 X 20) - (18 X 17)

= 94

Total momentum after = 94

Y = Object speed after collision

94 = (20+18)Y

Y = 2.47368421 m/s

Answer:

Metamorphic rocks form when rocks are subjected to high heat, high pressure, hot mineral-rich fluids or, more commonly, some combination of these factors. Conditions like these are found deep within the Earth or where tectonic plates meet.

Answer:

[tex]50\; {\rm m\cdot s^{-1}}[/tex], assuming that the force on the golf ball was constant.

Explanation:

Assume that the force the golf club exerted on the golf ball a constant force of magnitude [tex]F[/tex]. Let [tex]\Delta t[/tex] denote the duration the club was in contact with the golf ball. The impulse of this force would be:

[tex]J = F\, \Delta t[/tex].

Let [tex]\Delta p[/tex] denote the change in the momentum of this golf ball. By the impulse-momentum theorem, this [tex]\Delta p\![/tex] would be equal to the impulse on the golf ball.

[tex]\Delta p = J = F\, \Delta t[/tex].

The momentum [tex]p[/tex] of this golf ball is the scalar product between the mass [tex]m[/tex] of this golf ball and the velocity [tex]v[/tex] of this golf ball. The mass of this golf ball stays the same. Thus, when the momentum of this golf ball changes by [tex]\Delta p[/tex], the velocity of this golf ball would change by [tex](\Delta p) / (m)[/tex].

The change in the velocity of this golf ball would thus be:

[tex]\begin{aligned}\Delta v &= \frac{\Delta p}{m} & \genfrac{}{}{0em}{}{(\text{change in momentum})}{}\\ &= \frac{J}{m} & \genfrac{}{}{0em}{}{(\text{impulse on the golf ball})}{}\\ &= \frac{F\, \Delta t}{m} \\ &= \frac{500\; {\rm N} \times 0.01\; {\rm s}}{0.1\; {\rm kg}} \\ &\approx 50\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Note that [tex]1\; {\rm N} = 1\; {\rm kg \cdot m^{2}\cdot s^{-2}}[/tex].)

Answer:

temperature is essentially the speed of the molecules.

Explanation:

temperature is the kinetic energy of molecules, and kinetic energy is dependent on velocity.

Answer:

Q = M kg* 3.33E5 J / kg = .234 * 3.33E5 = 7.79E4 Joules

As a check (using 80 cal/gm as latent heat of fusion for water)

234 g * 80 cal/gm = 18720 cal

1 cal = 4.19 J

18720 cal * 4.19 J / cal = 7.7E4 J       agrees with value found above

The x and y coordinates of the particle at this moment is (6x + 4.5y) m.

The position of the particle at any instant is determined from the velocity and acceleration of the particle as shown below.

v² = u² + 2as

where;

v² = 0 + 2as

v² = 2as

s = v²/2a

[tex]s_x = \frac{v^2}{2a_x} = \frac{6^2}{2(3)} = 6\ m\\\\s_y = \frac{v^2}{2a_y} = \frac{6^2}{2(4)} = 4.5 \ m\\\\s = (6 x \ + 4.5y)m[/tex]

Thus, the x and y coordinates of the particle at this moment is (6x + 4.5y) m.

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Answer:

the answer is 374.15 kelvins

As the electric field is present at a point on diameter the electric field intensity at the electric field components are parallel to the diameter hence they cancel out .

So the field is directed perpendicular towards the diameter

Option A

Answer:

0.66 s

Explanation:

∆x = v∆t → 2 × 115 = 350 ∆t → ∆t = 230/350 = 0.66 s

The principle of cause and effect is applied in every life as is seen in damage caused to cells by exposure to large amounts of ultravoilet rays.

Cause and effect refers to the principle in which for every effect received or observed, an underlying cause is present.

Based on cause and effect;

Cells can repair small amounts of damage caused when a person is exposed to large amounts of gamma rays.

If a certain amount of exposure time in the sun is dangerous for adults, would result in a similar damage to a child.

A lot of sun exposure over time will cause an individual to develop a high risk of cell damage just as a shorter exposure time to X-rays gives the same risk.

Ultraviolet light can damage a cell especially with over 5 minutes of exposure to UVB light.

New vaccine studies are sometimes tested on pigs because humans have an immune system very similar to pigs.

Therefore, cause and effect is applied in every activities.

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The angular velcoity of this cylinder when the downward speed of the elevator is 1.2 m/s would be 6 rad/s.

Given the following data:

Radius of cylinder = 0.20 meter.

Linear velocity = 1.2 m/s.

Angular velocity can be defined as the rate of change of angular displacement of an object with respect to time. Thus, it is a measure of how fast and quickly an object revolves or rotates relative to another point or how its angular position changes with respect to time.

Mathematically, angular velcoity is given by this formula:

[tex]V =r\omega\\\\\omega =\frac{V}{r}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\omega = \frac{1.2}{0.2}[/tex]

Angular velocity = 6 rad/s.

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Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.

To answer the question, we use the principle of length contraction in relativity.

The principle of length contraction states that the length of an object would only contraction when it is in the direction of motion.

So, since the 1.00 m long rod is in the spaceship is held perpendicular to the direction of motion of the spaceship, there is no length contraction and thus, an observer on the Earth measures the same length of 1.00 m.

So, Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.

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Answer:

900 N

Explanation:

F = ma

  = 300 (3) = 900 N

Answer:

The first vehicles fitted with an alternator was vehicles during WWll.

Chrysler Corporation fitted an alternator on the Valiant 1960 as standard equipment

Explanation:

Answer:

The first car fitted with an alternator, rather than a direct current dynamo was the 1960 Plymouth Valiant.