8) Calculate the PE of a 5 kg mass when it is a) 13 m, above the ground. (g = 10 N/kg) b) 6.8 m, above the ground. (g = 10 N/kg) C who​

Answer:

76.67% efficient

Explanation:

11500/15000*100

The following statement(s) is/are true for the current situation: B travels farther but at a slower speed.

Base Run You are probably already performing a base run when you go for a run. Tempo Running. Speed running, often known as sprinting, is when you run continuously at a fast speed for a brief period of time. Run in intervals

Limiting your run to 30 minutes lowers the possibility of damage by reducing the chance of muscular weariness or overstretching. Additionally, recovery time is much shorter than it is for longer distance runs, allowing you to exercise more regularly and consistently.

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The mass of silver solidified when 749 joules of heat are released by a sample of molten silver at its freezing point of 962°C be 7 g.

The heat or energy that is absorbed or released during a substance's phase change is known as latent heat. It might go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.

Given parameters:

Total heat released during freezing: H = 749 joule.

The latent  heat of fusion of silver: L =  109 J/g.

Hence, mass of silver is solidified: m = H/L = 749/107 kg = 7 g.

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Answer: 6.87 grams

Explanation:

The first icost regarding free trade is that it nvolves the potential costs of adjustment in the industry. The second involves the possibility that more varieties will increase transaction costs.

Free trade can compel regional industries to up their game and rely less on government support. They have the power to attract new investments, expand markets, and boost GDP. FTAs can expose a nation to issues with local employment, the degradation of natural resources, and the loss of traditional livelihoods.

The first cost has to do with potential industry adjustment costs. The second is the potential for higher transaction costs as more varieties are available.

Government policies that impede international trade in order to support domestic industries are referred to as protectionism. However, they can also be implemented due to safety or quality concerns. Protectionist policies are typically implemented to increase economic activity within a domestic economy.

By enforcing tariffs or other trade restrictions, a protectionist trade policy enables the government of a nation to support domestic producers and thereby increase domestic production of goods and services.

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Organisms make different proteins because of the gene recombination and genetics.

Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.

The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility: high, medium, and low.

The above explanation about the genetic recombination tells about why the organisms make different proteins.

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The maximum velocity of its shadow is 0.711 m/s .

Here let the maximum linear velocity be denoted by Vmax;

let the angular velocity be

ω , and r be the circular track radius

Now , Vmax = rω

Given Beatles music album spinning at 45.00 rpm

= 45.00 ×(2π / 60) = 4.68 rad/s

So Vmax = ( 0.152) × ( 4.68)

= 0.711 m/s .

Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.

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Secondary rainbow is dimmer than a primary bow as : there is a second reflection with loss of light. The colors are arranged in the opposite order of the primary bow that is  red on the inside instead of the outside.

The intensity of light is reduced further by the second reflection, therefore secondary rainbows are not as bright as primary rainbows. Fewer light rays go through four-step sequence than the three-step sequence and the color scheme of the secondary rainbow is opposite of the primary rainbow.

Double reflection in a drop produces a secondary bow and because of this extra reflection, the secondary bow is much dimmer and its colors are also reversed.

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The wavelength is 3.975 × 10^-19 J.

Wavelength can be difined as the distance between two successive crests or throughs of a wave.

To find out the energy in joules given the wavelength of a photon we have to  Use the  Planck's equation E = h x c / λ and substitute the values of   the wavelength (λ), Planck's constant in joules (h = 6.6261 × 10⁻³⁴ J⋅s), and speed of light (c = 299792458 m/s). With these units, you'll get an energy result in joules (J).

Energy of photons,

E = hc/λ

(6.626 × 10-34Js) × (3 × 108ms-¹)/

5 x 10-7

= 3.975 × 10^-19 J

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The velocity of the car will slow down to 20 m/s given that the lion of mass 100 Kg drops to the roof of the car.

To show that the velocity of the car will slow down to 20 m/s, we shall determine the common velocity of the car and the lion after collision. This shown below:

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(500 × 24) + (100 × 0) = v × (500 + 100)

12000 + 0 = v × 600

12000 = v × 600

Divide both sides by 600

v = 12000 / 600

v = 20 m/s

From the calculation made above, we can see that the common velocity of the car and the lion is 20 m/s.

Thus, we can say that the velocity of the car slows down to 20 m/s

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Answer:

True

Explanation:

720 miles/h

If sound travels 1 mile for 1/12 of a minute, it means that in one minute it will travel 12 miles per minute, or 720miles per hour. so, answer is 720 miles/h

The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.

Given:

The radius of the wheel, r = 22 cm,

The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.

Calculate the circumference of the circle by the formula given below,

Circumference of circle = [tex]2\pi \ r[/tex]

Substitute the values,

C = 2 × 3.14 × 22

C = 138.16 cm

Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

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The speedup gets faster. while the car is properly accelerating between 10 and 20 seconds.

The ideal answer is B.

A body's kinetic energy is equal to 50 times its mass when it is moving at 10 m/s, and 200 times its mass when it is travelling at 20 m/s. In other words, it takes three times as much work to accelerate a body from 0 to 10 m/s (200-50=150*mass).

The earth pulls anything toward its core, which causes the object being pulled to accelerate by 9.8 meters per second as it "falls" to earth.

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That ratio is 2 .

A ratio is the  comparison of the  two numbers bydivision.

Taking the first two outputs, or the  -1/8 and -1/4, we can divide not the second one by the first one to find the

ratio:

-1/4-1/8

When dividing fractions, we multiply by the reciprocal:

-1/4x-8/1

To multiply fractions, multiply straight across:

(-1x-8)/(4x1) 8/4=2

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Since the closest approach distance is 39.5 fermi, the initial speed is in a head-on collisions between an alpha particle and a gold nucleus (Z=79).

The Greek alphabet begins with the letter alpha. Its value is one in the Greek number system. The word "ox" in the West Semitic language, aleph, is derived from the Phoenician letter alpha. The Latin letter A and the Cyrillic letter A are examples of letters that evolved from alpha.

In physics, alpha is a variable that is used for numbers that could be different from one another. Some examples of quantities using are: An isotope of helium, the alpha particle is made up of two protons and two neutrons. kg is the unit of mass. A metre is a unit of length, and a second is a unit of time.

The two components of a formula used to describe the results of stocks & investment funds are alpha and beta. Beta is a metric for comparing volatility to a benchmark, like the S&P 500. After controlling for erratic variations and market-related volatility, alpha seems to be the return rate on an investment.

Rf - beta - Rf = alpha (Rm-Rf)

R is a symbol for portfolio return. The risk-free return rate is denoted by Rf. The systematic risk of the a portfolio is represented by beta. According to a benchmark, Rm stands for the market return.

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Answer: 3.3m/s

Explanation:

kinetic energy=0.5*m*v^2

5.0m/s(^-1)=0.2

0.2^2=0.04

0.5*5000kg*0.04m/s=100J

0.5*2500kg*v^2=100J

Rearrange the equation:

100/0.5*2500=v^2

0.08=v^2

√0.08=v^2

0.28=v

Combined velocity= 1st lorry+2nd lorry=3.3m/s

Answer:

Below

Explanation:

VERTICAL velocity will be   v  sin 34

HORIZONTAL velocity will be   v cos 34  = 86 cos 34 = 71.3 m/s

The option (d) 4.5j is correct . i.e. The work done of an electric potential is 4.5j.

The definition of work done includes both the forces applied to the body and the total displacement of the body. A constant force F is present before to this block and the force's objective is to move the body a predetermined distance (d) in a straight line in the force's direction.

We are given that,

Charge = Q = 30c

Electric potential = V = 1.5v

Therefore , the work done of an electric potential can be calculated by the formula,

W = V.Q

Putting the above given values in the above equation we can get,

W = 30×1.5

W= 4.5j

Thus, the work is done through an electric potential would be 4.5j .

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The average speed of the hiker for the entire hike is 10 km/hr. Average speed indicates the average speed during the complete course of a particular journey.

By dividing the total distance traveled by the total amount of time it took to traverse that distance, one can get the average speed of an object. The rate at which an object's position changes in any direction is known as sped. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The average speed = Total distance covered / Total time taken

Total distance = 5 + 15 + 5 + 10 = 35 km

Total time = 30 + 90 + 30 + 60 = 210 mins = 3.5 hrs

According to the diagram provided, the average speed will be:

= 35 / 3.5

= 10 km/h.

Hence, the average speed is 10 km/h.

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Reaction time is the time it takes for a driver to recognize a hazardous situation and initiate a response, such as braking or steering. It is one component of the total stopping distance of a vehicle. The other components of stopping distance include the distance traveled during the period of reaction time (the distance the vehicle travels before the driver begins braking) and the braking distance (the distance the vehicle travels while the brakes are applied).

The stopping distance of a vehicle can be calculated using the following formula:

Stopping distance = reaction time + distance traveled during reaction time + braking distance

In this formula, the reaction time is the time it takes for the driver to recognize the hazardous situation and initiate a response, the distance traveled during reaction time is the distance the vehicle travels during this time period, and the braking distance is the distance the vehicle travels while the brakes are applied.

It is important for drivers to be aware of their reaction time and how it can affect their stopping distance. Factors that can affect reaction time include a driver's level of alertness, the complexity of the driving situation, and the driver's age, among others. By understanding their reaction time and the factors that can affect it, drivers can better anticipate and respond to hazardous situations on the road, helping to reduce the risk of accidents and injuries.

The minimum velocity the roller-coaster need when going over the 12 m  to make it to the top of the 30 m hill is equal to 18.78 m/s. Therefore, option (D) is correct.

Energy can be transformed from one to another but can neither be created nor destroyed. Energy is present in nature in several forms such as heat, nuclear energy, electricity, chemical energy, and so on.

If every form of energy is considered, then the total energy of an isolated system remains constant. This law of energy applies to all types of energy in our universe.

From the law of conservation of energy, the energy of the roller-coaster goes:

[tex]{\displaystyle \frac{1}{2} mv^2 +mgh_1 = mgh_2[/tex]

Given the height of the first hill, h₁ = 12m

The height of the second hill, h₂ = 30 m

The gravitational acceleration, g = 9.8 m/s²

We can find the value of the minimum velocity of the roller-coaster from the above equation:

[tex]{\displaystyle \frac{1}{2} v^2 +gh_1 = gh_2[/tex]

0.5 × v²  + (9.8) × 12 = (9.8) × 30

0.5 v² = 176.6

v = 18.78 m/s

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As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.

define pulleys ?

A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. When a pulley is supported by a frame or shell and is used to guide a cable or apply force rather than transmit power to a shaft, the supporting shell is referred to as a block and the pulley may be referred to as a sheave.

For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the driving component of a pulley system.

As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.

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Passive strength (passive tension or passive stiffness) typically increases when muscle length is greater than at rest, whereas active strength (also called active tension or active stiffness) is typically decreases. This relationship is known as the relationship between muscle length and tension.

The relationship between length and tension refers to the relationship between the length of a muscle and the force it produces.

In general, as muscle length increases, the connective tissue within the muscle (such as tendons and fascia) stretches, thus increasing the passive force generated by the muscle.

At the same time, muscles are less likely to generate force when stretched, so the active force generated by the muscle normally decreases.

So the correct answer to the question is:

Passive force increases and active force decreases.

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The magnitude of the force of the mosquito on the truck is same as the magnitude of the truck on the mosquito.

When we push or pull an object, then we say that a force is applied to it. Depending on its direction, the force might be either positive or negative.

The Newton's third law of motion states that if a force is applied to an object by an external agent, then the object applies the same magnitude of the force on the agent but that this force is in the opposite direction to the original force direction. So, forces always occur in a pair.

Even though the two forces in a pair act in different ways on distinct objects, they are equal.

In the given question, when the mosquito hits the shield of the truck then it applies a force on the car, and the car also applies the same magnitude of the force on the mosquito.

Thus, the force on the mosquito by the truck has the same magnitude as the force on the truck by the mosquito.

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The ratio of time of flight for inelastic collision to elastic collision is 1 : 2.

An inelastic collision is a type of collision in which the kinetic energy does not remain the same before and after the collision, while an elastic collision is a type of collision in which the kinetic energy remains the same before and after the collision.

mass of the bullet, = m₁

mass of the block, = m₂

initial velocity of the bullet, = u₁

initial velocity of the block, = u₂ = 0

final velocity of the block = v

final velocity of the b can be calculated by the formula,

m₁u₁ + m₂u₂ = v ( m₁ + m₂)

v = ( m₁u₁ + m₂u₂ ) / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g )

t = v/g

t = ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)}

final velocity will be given by ,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Since u₂ = 0

m₁u₁ = m₁v₁ + m₂v₂

the block undergoes unidirectional motion,

so u₁ + (-v₁) = u₂ + v₂

v₁ = u₁ - v₂

therefore, m₁u₁ = m₁(u₁ - v₂) + m₂v₂

v₂ = 2m₁u₁ / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g ) ( v=v₂) ( t=t₂)

t₂ = v₂/g

t₂ = 2m₁u₁ / g( m₁ + m₂)

Ratio of t₁ and t₂ is  ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)} / 2m₁u₁ / g( m₁ + m₂)

t₁ : t₂ = 1 : 2.

The question is incomplete, the complete question is:

A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one, where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time

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6.25%  is percentage of the original sample of a radioactive element would be left after 32 days.

Some elements of atomic nuclei are unstable due to the presence of excess nuclear charge inside, so these nuclei undergo radioactive decay to form stable nuclei. These elements are called radioactive elements.

For 32 years

half lives can be calculated as

8 years = 1 half life

32 years = 32/8 = 4 half lives

half lives = n = 4

= 1 / [tex]2^{4}[/tex]

= 1 / 16

= 0.625

= 6.25 %

6.25% of the original sample would be left after 32 years.

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The quantity of heat required is 1229.1 J

The specific heat capacity of a substance is the quantity of heat required to increase the temperature of a unit mass of the substance by 1°C or 1k. it measure in J/kg/k.

The specific heat capacity of a substance is denoted by 'C'. And it is expressed as C = Q/m∆t

where ∆t is the change in temperature, Q is the quantity of heat energy required and m is the mass of the substance.

therefore Q=mCΔt

Q= 96.7× 0.874×(69.2-31.7)

Q= 1229.1J

Thereore the heat required to increase the temperature from 31.7°C to 69.2°C is 1229.1J

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W = 3.15 · 10⁶ J work is done by 15 kW engine during 3.0 min.

We are aware that power is determined using the equation P = W/t, where P equals power (W), W equals work (J), and t equals time (s)

Using this formula, we can create a formula for work by adding t to both sides of the equation.

W = Pt

Converting 15 kW to W yields 15,000 W.

3.0 minutes is 180 seconds, therefore let's convert that.

Solve for W by substituting these numbers into the work formula.

W = Pt

W = (15,000 W) · (180 s) (180 s)

W = 2700000 J

W = 2.7 · 10⁶ J

This is the amount of work a 15 kW engine can accomplish in three minutes.

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The measure of the amount of friction existing between two surfaces is known as the coefficient of friction.

When you find a coefficient of friction, you’re calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.

The power of this friction force depends on the materials that are pressing against one another. For instance, a steel bar will slide much more easily on a sheet of ice than on a slab of concrete. In these examples, the steel-on-ice combination has a much lower coefficient of friction.

Friction can wreck a piping system if it is unchecked. Reducing a pipe’s coefficient of friction is an important way to preserve metal.

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Both of the Northward and also the Eastward components of a velocity will be equal.

The displacement that such an object as well as particle experiences with regards to time is expressed vectorially as velocity. The metre per second (m/s) is the accepted unit of flow speed (also known as speed).

The entire displacement of objects divided by the overall time elapsed gives the object's average velocity. It is supplied by. Average velocity is calculated as total displacement divided by time. M s-1, or m/s, is the SI unit for average velocity. M L T-1 provides the volumetric formula for the same.

That jet is traveling at 430 mph at the an angle of 30 degrees to a north, therefore,

xj = (430 mph) sin 30 = 215 mph

yj = (430 mph) cos 30 = 372 mph

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