Which has higher kinetic energy: a sled resting at the top of a hill or a sled sliding down the hill? a sled sliding down the hill a sled resting at the top of a hill

The kinetic energy of the helium nucleus will be 4.98 x 10⁻¹³ J

Kinetic energy can be define as , that it is a form of energy that an object or a particle is cause of its motion. Its unit is joule  i.e. j & it is given as,

K.E. = 1/2 mv²

where , m is mass of the particle and v is the velocity of the particle .

Energy can be expressed as, the ability to perform work. Energy can neither be created nor destroyed, but it can only be transformed from one form to another. The unit of energy is  joule .

Mass of helium nucleus = m = 6.64 x 10⁻²⁷ kg

Speed of light = c = 3 x 10⁸ m/s

Speed of light at 5.00% = c = 5.00/100x 3 x 10⁸ m/s = 1.5 x 10⁷ m/s

The kinetic energy of the helium nucleus can be given as ,

K.E = ¹/₂mc²

K.E = ¹/₂ x (6.64 x 10⁻²⁷) x (1. 5 x 10⁷)²

K.E =  4.98 x 10⁻¹³ J

Therefore, the kinetic energy of the helium nucleus is 4.98  x 10⁻¹³ J

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The work needed to slide the crate at a distance of 22 m is

[tex]$W=4.38 \times 10^3 J$[/tex]

The work done by a constant force on an object as the object moves along a displacement vector [tex]$\vec{d}$[/tex] is given by the formula involving the dot product of the two vectors:

[tex]$W=\vec{F} \cdot \vec{d}=F d \cos (\theta)$$[/tex]

Where [tex]$\vec{F}[/tex], F is the force vector and its magnitude respectively, [tex]$\vec{d}[/tex], d is the displacement vector and its magnitude respectively and [tex]$\theta$[/tex] is the angle between the displacement vector and the force vector.

Given:

Force acting on the crate, F = 230 N

Distance traveled by the crate,

[tex]$d=22 \mathrm{~m}$$[/tex]

The angle between the force and the displacement,

[tex]$$\theta=30^{\circ}$$[/tex]

Then the work done by the force on the crate as it travels 22 m under the action of the force is

[tex]$W &=F d \cos \theta \\[/tex]

[tex]$&=230 \times 22 \cos 30^{\circ} \\[/tex]

simplifying the above equation, we get

[tex]$&=230 \times 22 \times \frac{\sqrt{3}}{2} \\[/tex]

[tex]$&=4382.089 \mathrm{~J} \\[/tex]

[tex]$&=4.38 \times 10^3 \mathrm{~J}[/tex]

Therefore the work needed to slide the crate at a distance of 22 m is

[tex]$W=4.38 \times 10^3 J$[/tex]

The complete question is:

How much work does it take to slide a crate 22m along a loading dock by pulling on it with a [tex]$230-\mathrm{N}$[/tex] force at an angle of [tex]$30^{\circ}$[/tex] from the horizontal?

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The volume of the solid is [tex]V=128\frac{r^{3} }{3}[/tex]

What do you understand by Volume ?

A liquid, solid, or gas's volume is the amount of three-dimensional space it occupies. Although there are many different units that can be used to indicate volume, the most common ones are liters, cubic meters, gallons, milliliters, teaspoons, and ounces.

base is x2+y2=(2r)2

==>y=-√(4r2-x2) ,√(4r2-x2)

So each cross section parallel has base = √(4r2-x2) - -(√(4r2-x2)) = 2√(4r2-x2) and height = base

So area of each cross section is 2√(4r2-x2)*2√(4r2-x2)= 4(4r2-x2)

Now we integrate from left side of circle to right side of circle (-2r to 2r)

V = 4 ∫[ -2r to 2r] (4r2-x2)dx

V = 4 (4r2x - x3/3) [ -2r to 2r]

V = 4 [(4r2(2r) - (2r)3/3) - (4r2(-2r) - (-2r)3/3)]

V = 4 [ (8r3 - 8r3/3) - (-8r3 + 8r3/3)]

V = 4 (16r3 - 16r3/3)

V = 4 (32r3/3)

V = 128r3/3

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Answer:

Forces have magnitude and direction.

Explanation:

Force is a vector quantity.

The flow rate of incoming solar energy, as measured at the top of the atmosphere is called: insolation

The insolation is known as the amount of radiation from the sun's energy that the planet receives. A portion of the energy is absorbed or reflected by the atmosphere and another portion reaches the surface.

The insolation is caused major by:

The solar energy is a type of energy whose source is the sun that radiates heat.

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The distance actually fallen in t seconds is defined by d = Vot + 16t^2 or 16t^2 with an initial velocity of Vo = 0.

And the object will fall at 160ft/sec speed.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector quantity that measures the

The position of an object dropped from a height of 1000 ft. is given by s = 1000 – Vot – 16[tex]t^{2}[/tex], or 1000 – 16[tex]t^{2}[/tex] for Vo = 0, s being the distance from the ground.

The equation s(t) = Vot – 16[tex]t^{2}[/tex] is the height reached when propelled upward at a velocity of Vo.

An object dropped from a height if 1000 ft. will have a velocity of

Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.

The distance fallen in this 5 second is s = Vot + [tex]\frac{gt^2}{2}[/tex] = Vot + 16[tex]t^{2}[/tex] = 0 + 16([tex]5^{2}[/tex]) = 400 feet, making the position, or distance, from the ground 600 feet.

The formula d = Vot + 16[tex]t^{2}[/tex] or 16 [tex]t^{2}[/tex]with an initial velocity of Vo = 0 determines the distance that actually fell in t seconds.

The position of an object dropped from a height of 1000 feet can be calculated using the formula s = 1000 – Vot – 16t2, or 1000 – 16t2 for Vo = 0.

The height attained when moving upward at a velocity of Vo can be calculated using the equation s(t) = Vot – 16t2.

The velocity of an item falling from a height of 1000 feet is Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.

The location, or distance, from the ground is 600 feet due to the distance that was lost in these five seconds: s = Vot + gt2/2 = Vot + 16t2 = 0 + 16(52) = 400 feet.

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1.549×10-19lJ is the energy of a photon emitted when an electron in a hydrogen atom undergoes a transition from =7 to =1.

The equation E= hcE =hc, where h is Planck's constant and c is the speed of light, describes the inverse relationship between a photon's energy (E) and the wavelength of light ().

The Rydberg formula is used to determine the energy change.

Rydberg's original formula used wavelengths, but we may rewrite it using units of energy instead. The result is the following.

aaΔE=R(1n2f−1n2i) aa

were

2.17810-18lJ is the Rydberg constant.

The initial and ultimate energy levels are ni and nf.

As a change of pace from

n=5 to n=3 gives us

ΔE

=2.178×10-18lJ (132−152)

=2.178×10-18lJ (19−125)

=2.178×10-18lJ×25 - 9/25×9

=2.178×10-18lJ×16/225

=1.549×10-19lJ

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It is assumed that every adult has a home phone number is the potential source of bias

Systematic variations in how individuals are dropped from the study and how the results are adjusted for them (e.g., incomplete follow-up, differential attrition). bias brought on by an inadequate evaluation of the results. During the course of the study, selection bias can arise from missing data bias.

It is not possible to totally avoid confounding effects. Therefore, every scientist should be aware of all potential causes of bias and take all reasonable steps to minimize and lessen the departure from the truth. Authors should acknowledge any remaining variation in their writing by outlining any recognized constraints on their effort.

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The complete question is: An opinion poll calls 2000 randomly chosen residential telephone numbers then asked to speak with an adult member of the household the interviewer asks box office revenues are at an all-time high how many movies have you watched any theater in the past 12 months and all 1131 people responded the researchers use the responses to estimate the main number of movies adults have watched any movie theater in the past 12 months. What is the potential source of bias in this question

The radius is equal to the Earth’s radius. You can find this information online by computing the Earth’s surface area while assuming that it is a perfect sphere, then multiplying the result by the percentage of the planet that is covered in water.

Actually, you can demonstrate this without knowing the radius.

P/A = e•s•T4

Water has an emissivity, e, of roughly 0.96. And 5.67108 W/m2 K4 is the Stefan-Boltzmann constant.

The power radiated from a black body is described by the Stefan-Boltzmann law in terms of its temperature. The Stefan-Boltzmann constant, often known as the proportionality constant, is derived from several well-known physical constants.

Where k is the Boltzmann constant, h is the Planck’s constant, and c is the speed of light in a vacuum, the constant has the value since 2019

When compared to a black body, a body that does not completely absorb incident radiation (sometimes referred to as a grey body) emits less total energy.

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Operating capital - Operating capital refers to that amount of cash required to run day to day working or operation of business .

Total Operating Capital = Total assets (short term + long term)  - current liabilities  

total assets include inventories, accounts receivable , fixed assets etc.

current liabilities include account payables, accrued expenses, income tax accrued interest etc.

NOWC means net operating working capital it is difference between current assets and non interest bearing current liabilities

Current assets include cash accounts receivable and inventories and exclude marketable securities

Non interest bearing current liabilities means amount of money company must pay within a year without own interest.

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The resistance will also be doubled when the device is made of same material and when heated to the same amount.

Resistance is defined as the opposition in the flow of current in an electrical circuit. It is measured in ohm. The electrical resistance of a conductor of unit cross-sectional area and unit length is known as Resistivity. It is represented by ρ.

The relation between resistance and resistivity is, ρ = RA/l . Here, R is Resistance , A is Area of wire and l is length of wire. Resistivity is directly proportional to the resistance. The resistivity of a material is doubled when heated a certain amount. So, for a same material heated to same extend the resistance will also be doubled.

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Digital camera demand is inelastic if the price elasticity of demand is 0.88, meaning that price rises for cameras will result in higher overall sales.

Price elasticity of demand measures how much a product's consumption changes in response to price changes. If a good's price elasticity is infinite, it is perfectly elastic (if demand changes substantially even with minimal price change). The good is elastic if price elasticity is more than 1, and inelastic if it is less than 1. A good is completely inelastic if its price elasticity is zero, meaning that no amount of price variation will alter demand. The quantity effect will be overpowered by the price effect. The relationship between the percentage change in a product's quantity demanded and the percentage change in price is known as price elasticity of demand. It helps economists comprehend how supply and demand shift in response to changes in a product's price.

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The level (n) of the final state of the electron n₂ = 6

a photon, also known as a light quantum, is a very small energy package of electromagnetic radiation. When explaining the photoelectric effect in 1905, Albert Einstein proposed the potential of energy levels packets during the transmission of light.

A negatively charged subatomic component called an electron can be either attached to or detached from an atom (not bound). Protons, neutrons, and electron that is bonded to the atom make up the three basic types of particles that make up an atom. Protons, neutrons, and electrons make up the nucleus of an atom.

An atom of hydrogen has a value of 1.0952 x 10-6 m

starting at level 1, the electron n = 3

what is the electron's final state level (n).

[tex]\frac{1}{\lambda}=\bar{v}=R_H\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)[/tex]

λ =   1.0952 x 10⁻⁶m

  = 1.0952 x 10⁻⁴cm

R[tex]_H[/tex] = 109677cm⁻¹

n₁ = 3

n₂ = ?

Putting the value in the formula:

we get,

1/1.0952 x 10⁻⁴ = 109677cm⁻¹[tex]\left(\frac{1}{3^2}-\frac{1}{n_2^2}\right)[/tex]

0.0833 = 1/9 - 1/(n₂)²

(n₂)² = 1/0.0278

n₂ = 6

The level (n) of the final state of the electron n₂ = 6

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By using ideal gas approximation, the sun's temperature is 2.27 x 10⁷ K.

We need to know about ideal gas to solve this problem. The ideal gas will follow the rule

P . V = n . R . T

where P is pressure, V is volume, n is the amount of substance, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that:

Mr = 2 g/mol

ρ = 1.4 g/cm³

P = 1.3 x 10⁹ atm = 1.32 x 10¹⁴ Pa

m(sun) = 1989 x 10³⁰ g

Find the amount of sun substance

n = m / Mr

n = 1989 x 10³⁰ / 2

n = 994.5 x 10³⁰ mol

Find the volume of sun

V = m/ρ

V = 1989 x 10³⁰ / 1.4

V = 1420.71 x 10³⁰ cm³

V = 1.42 x 10²⁷ m³

By substituting the parameters, we get

P . V = n . R . T

1.32 x 10¹⁴ . 1.42 x 10²⁷ = 994.5 x 10³⁰ . 8.31 . T

T = 2.27 x 10⁷ K

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Answer:

Explanation:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force

Answer:The first law of motion states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

The average speed of the complete round trip is 65.57 km / h.

We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as

v = d / t

where v is average speed, d is distance and t is time.

From the question above, we know that

d1 = 300 km

v1 = 93 km/h

t lunch = 1 hour

d2 = 300 km

v2 = 56 km/h

Find the time during the outgoing

v1 = d1 / t1

t1 = d1 / v1

t1 = 300 / 93

t1 = 3.23 hours

Find the return time

v2 = d2 / t2

t2 = d2 / v2

t2 = 300 / 56

t2 = 5.36 hours

Hence, the total time

t = t1 + t2 + t lunch

t = 3.23 + 5.36 + 1

t = 9.59 hours

Find the average speed

v = d / t

v = (300 + 300) / 9.59

v = 65.57 km / h

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The mass of nitrogen is calculated as 1.092 grams

According to Dalton's Law of partial pressure:

Pn2 = Ptotal Xn2

Were,

Pn2is the partial pressure of nitrogen

Ptotal is the Total pressure

Xn2is the mole fraction of nitrogen

Given:

Total pressure = 1.0 atm

Mole fraction of nitrogen = 0.78

Partial pressure of nitrogen:

Pn2= 1.0 x 0.78 atm

According to Henry's law:

Solubility = Henry's constant (k)×Partial pressure

k = 6.26×10⁻⁴ mol/L-atm

Thus,

Solubility of nitrogen = 6.26×10⁻⁴ mol/L-atm×0.78 atm = 4.8828×10⁻⁴ mol/L

Given: Volume = 80.0 L

So, Moles of nitrogen gas dissolved:

Moles = Solubility (Concentration dissolved) ×Volume

Moles = 4.8828×10⁻⁴ mol/L×80.0 L = 0.0390 moles

Also,

moles = mass (m) / molar mass (M)

mass of nitrogen = moles x molar mass

Molar mass of nitrogen gas = 28 g/mol

So,

Mass of nitrogen gas dissolved = 0.0390 moles×28 g/mol = 1.092 grams

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In the canopies of tropical forests, plants are able to survive despite the high temperatures and high levels of solar radiation due to the process of Transpiration.

Most of the water absorbed by roots of water is not used for growth of plant but to maintain a moisturized environment. For this purpose water is evaporated as vapour from stoma on the underside of leaves.

This process is called transpiration. Transpiration is the evaporation of water from plants. This cools down plants under hot conditions. This process also pulls water from stems and roots to leaves to hydrate mesophyll cells.

Therefore, In the canopies of tropical forests, plants are able to survive despite the high temperatures and high levels of solar radiation due to the process of Transpiration.

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Answer:

Thermal

Thermalphenomena.

Sound

Soundphenomena.

Mechanical

Mechanicalphenomena.

Light

Lightphenomena.

Answer: Concentration of H+ =10^-7; log of 10^-7=7 so pH=7

Explanation:

One of the fundamental general safety guidelines is to keep the work area clear of combustibles for at least 35 feet from the hot work area.

Hot works or combustible works such as welding, heating or cutting should be done at a location which is far away form any combustible material.

Prior to start working in such a location make sure there are no hazardous or combustible material around such as fire, ignition source or electric spark.

All precautionary measures must be taken to confine heat, fire or spark so that they don not come into contact with nay combustible object.

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The average speed of a horse that gallops a distance of 10 km in a time of 30 min is: b. 20km/h.

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

Information about the problem:

By converting the time units from (min) to (h) we have:

t = 30 min * 1 h/60 min

t= 0.5 h

Applying the velocity  formula we get:

v = x/t

v = 10 km/0.5 h

v = 20 km/h

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The demand for widgets has a price elasticity of 0.5. If we assume no change in the demand curve for widgets, an increase in sales of 8 percent implies a(n) 32% reduction in price.

The basic formula for the price elasticity of demand coefficient is:

Percentage change in quantity being demanded/percentage change in the price

Demand elasticity the price elasticity of demand (PED) of a good is a measurement of how responsive the quantity demanded is to the price.

Almost all goods see a decrease in quantity demanded when prices rise, however certain goods experience this decrease more than others.

When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in the quantity required. If the elasticity is 2, a 1% increase in price results in a 2% decrease in the amount demanded.

Other elasticities gauge how changes in other factors affect the quantity needed (e.g., the income elasticity of demand for consumer income changes).

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Valid line of code for displaying the twenty-eighth element of some array is System.out.println(somearray[27]).

Arrays are among the most well-known and essential data structures, and they are utilized by practically all programs. A wide variety of additional data structures, including lists and strings, are likewise implemented using them. They successfully take advantage of computers' addressing systems. The memory is a one-dimensional array of words whose indices are their addresses in the majority of contemporary computers and many external storage devices. Array operations are frequently optimized for by processors, especially vector processors.

The main reason why arrays are helpful is that the element indices may be calculated in real time. This feature, among other things, enables a single iterative statement to process an array's items in any number.

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The term “electric field” refers to the physical field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field (also known as an E-field).

It can also refer to the physical field surrounding a system of charged particles. Electric fields are composed of electric charges and time-varying electric currents.

Both electric and magnetic fields are manifestations of the electromagnetic field, one of the four fundamental interactions (sometimes known as forces) of nature.

Electrical technology makes use of electric fields, which are significant in many branches of physics.

For instance, in atomic physics and chemistry, the electric field acts as an attractive force to hold atoms’ atomic nuclei and electrons together. It is also the force that causes atoms to chemically link together to form molecules.

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Force required to move a block is 1.615 N

Given:

mass of block = m = 150 pounds = 68 kg

distance = d = 5 ft = 1.52 metres

time = t = 8 sec

To Find:

force required to move the block

Solution: Force is defined as product of mass and acceleration and it's unit is N or Newton.

Velocity = displacement/ time = 1.52 / 8 = 0.19 m/s

Acceleration = velocity/time = 0.19/8 =

0.023 m/s^2

Force = mass x acceleration = 68x0.023 = 1.615 N

Hence, force required to move the block is 1.615 N

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Answer:

23.63985719

Explanation:

pls dont ask it was painfull

a) mass of object with acceleration 32.5 ft/sec2 is 116 kg

b) mass of object with acceleration 7.86 m/sec2 is 146 kg

Given:

Force = 1.15 x 10^3 N

Acceleration = a) 32.5 ft/sec2 b) 7.86 m/sec2

Solution: The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Force = mass x acceleration

mass(a) = Force/Acceleration

= 1.15 x 10^3 N/32.5 ft/sec2 x 3.2808 ft/m = 116 kg

mass(b) = 1.15 x 10^3 N/7.86 m/sec2 = 146 kg

Hence, mass of object with acceleration 32.5 ft/sec2 is 116 kg

Hence, mass of object with acceleration 7.86 m/sec2 is 146 kg

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