A mass resting on a shelf 10.0 meters above the floor has a gravitational potential energy of 980. joules with respect to the floor. The mass is moved to a shelf 8.00 meters above the floor. What is the new gravitational potential energy of the mass?
a. 960. J
b. 784 J
c. 490. J
d. 196 J

Answer:

The stratosphere

Explanation:

In the lower portion of the stratosphere there is a high concentration of ozone in relation to other parts of the atmosphere. This region is known as the ozone layer. This layer absorbs most of the Sun's ultraviolet radiation, especially ultraviolet B rays, allowing ultraviolet A rays to pass.

Answer:

TROPOSPHERE

Explanation:

Answer:31.62 m/s

Explanation:

Given

mass of body [tex]m=400 kg[/tex]

Pull on chain is [tex]F_1=6000g N=60 kN[/tex]

Pull get smaller at the rate of [tex]F_2=360g N/m[/tex]

Net Upward Force [tex]F=6000 g-360 g\times 10=24 kN[/tex]

net acceleration [tex]a=\frac{F}{m}[/tex]

[tex]a=\frac{24\times 1000}{m}[/tex]

[tex]a=\frac{24000}{400}[/tex]

[tex]a=60 m/s^2[/tex]

but g is acting downward

[tex]a_{net}=a-g=60-10=50 m/s^2[/tex]

using [tex]v^2-u^2=2 as[/tex]

here initial velocity is zero

[tex]v^2=2\times 50\times 10[/tex]

[tex]v=31.62 m/s[/tex]

The velocity of the body will be "31.62 m/s".

Given:

Mass of body,

Pull on chain,

The net upward force will be:

→ [tex]F = 6000-360\times 10[/tex]

      [tex]= 6000-3600[/tex]

      [tex]= 2400[/tex]

or,

      [tex]= 24 \ kN[/tex]

Now,

The net acceleration will be:

→ [tex]a = \frac{F}{m}[/tex]

     [tex]= \frac{24\times 1000}{400}[/tex]

     [tex]= 60 \ m/s^2[/tex]

But,

"g" is acting downwards then,

→ [tex]a_{net} = a -g[/tex]

          [tex]= 60-10[/tex]

          [tex]= 50 \ m/s^2[/tex]

By using,

→ [tex]v^2-u^2=2as[/tex]

          [tex]v^2= 2\times 50\times 10[/tex]

               [tex]= 1000[/tex]

            [tex]v = \sqrt{1000}[/tex]

               [tex]= 31.62 \ m/s[/tex]

Thus the above answer is right.

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Balanced forces are equal and opposite, causing no change in an object's movement, leading to static equilibrium. On the contrary, unbalanced forces change an object's velocity or direction, causing it to move or accelerate.

The primary difference between balanced and unbalanced forces lies in their effects on the motion of an object. Balanced forces are equal and opposite forces that act on an object, resulting in no change in its velocity or direction. An example would be a static car or an ice hockey stick lying flat with two equal and opposite forces applied to it. Friction is negligible and the gravitational force is balanced by the support, leading to static equilibrium.

On the other hand, unbalanced forces are not equaled.

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Answer:

option B

Explanation:

given,

spring constant = k = 100 N/m

distance of unstretched length = 0.5 m

distance after stretched length =  0.65 m

magnitude of weight = ?

We know,

W  = K x

x is the displacement

x = 0.65 - 0.5 = 0.15 m

W = K x

W  = 100 x 0.15

W  = 15 N

Hence, the correct answer is option B

Final answer:

The weight of the attached object is found by multiplying the spring constant (100 N/m) by the stretch in the spring (0.15 m), which equals 15 N. Therefore, the weight of the object is 15 N.

Explanation:

The weight of the attached object can be calculated using Hooke's Law, which states that the force exerted by the spring (F) is equal to the spring constant (k) multiplied by the displacement from the rest position ( extDelta x): F = k extDelta x. In this case, the spring has a spring constant of 100 newtons per meter and the displacement from the original length of 0.50 meters to the new length of 0.65 meters is 0.15 meters.

Thus, F = 100 N/m exttimes 0.15 m, which gives us a force of 15 N. Since the weight of the object is the force exerted by the spring and these two forces are equal and opposite when the spring is at rest with the object hanging, the weight of the attached object is 15 N. Therefore, the correct answer is (b) 15N.

Answer:

Mercury - hydrargyrum (Hg)

Explanation:Mercury is a chemical element with the symbol Hg and atomic number 80. It is commonly known as quicksilver and was formerly named hydrargyrum.  

Symbol: Hg

Atomic number: 80

Atomic mass: 200.59 u

Melting point: -38.83 °C

Boiling point: 356.7 °C

Electron configuration: [Xe] 4d^14 5d^10 6s^2

Group :12

Ionization energy 1007.1J

Electronegativity :2

Crust Abundance : 0.085ppm

Electron Affinity : Unknown eV

Name: Mercury , the first planet in the solar system (Hg from former name hydrargyrum , from greek  hydr - water and  argyros silver .

I hope it helps. :).

Answer:

Stooping more Quickly

Explanation: Stooping more quickly means that Motor cycles can easily bend and stop,this is due to it's design, Motor cycle have only two wheels,they contain just two tyres one in front and one at the back,they are not as firm on the ground when compared to other vehicles such Motor car. They have a lower weight which makes them easily bent or stopped once there's any barrier.

Motorcycles can stop quicker than other vehicles.

When following a motorcycle, drivers must remember that motorcycles can stop quicker than other vehicles. Due to their smaller size and weight, motorcycles have a shorter stopping distance. This means that drivers should maintain a safe following distance to avoid rear-ending the motorcycle.

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Answer: True

Explanation: A knowledge engineer is a professional who works to improve and builds with the aid of science and also implements advanced logic and AI( artificial intelligence) in computer systems in order to investigate particular issues.

A knowledge engineer also helps tries to emulate the judgements of man.

Since you are part of the team involved in discovering errors in the electronic spread sheet you are a knowledge engineer.

Answer:

This is a table of common chemicals that produce nice crystals. The color and shape of the crystals are included. Many of these chemicals are available in your home. Other chemicals in this list are readily available online and are safe enough for growing crystals at home or in a school. Recipes and specific instructions are available for hyperlinked chemicals.

Ionic compounds, held together by electrostatic forces, form crystalline structures that exhibit rigid and brittle properties. They tend to have high melting and boiling points, reflecting the strength of the ionic bonds. Though ionic solids are poor conductors in their solid state, they readily dissolve in water, becoming good conductors when melted or dissolved.

Compounds composed of ions are called ionic compounds (or salts), and their constituent ions are held together by ionic bonds: electrostatic forces of attraction between oppositely charged cations and anions. The properties of ionic compounds shed some light on the nature of ionic bonds. Ionic solids exhibit a crystalline structure and tend to be rigid and brittle; they also tend to have high melting and boiling points, which suggests that ionic bonds are very strong. Ionic solids are also poor conductors of electricity for the same reason the strength of ionic bonds prevents ions from moving freely in the solid state. Most ionic solids, however, dissolve readily in water. Once dissolved or melted, ionic compounds are excellent conductors of electricity and heat because the ions can move about freely.

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Answer:

C.inertia

Explanation:

Inertia is a property of matter to maintain its state of motion.

In this case, if the car was moving along with the people in it when the car stopped, the inertia of the people will cause them to continue moving.

This is why in a crash a person can be shot from the car, due to the inertia he has from his previous state of motion.

The complete sentence is: Unrestrained occupants of a car keep moving during the time the car takes to stop due to inertia. (option C)

Unrestrained occupants of a car continue moving forward when the car stops due to inertia, as an object in motion remains in motion unless acted upon by an external force.

Unrestrained occupants of a car keep moving during the time the car takes to stop due to inertia. This phenomenon occurs because, according to Newton's first law, an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. In the context of a car, when it suddenly stops, the passengers inside will continue moving forward because their bodies were initially in motion and there is no forward force directly applied to them to cause a deceleration similar to that of the car.

Centripetal force is the force that causes an object moving in a circular path to move towards the center of the path. However, when the force disappears, inertia is what carries the object in a straight line, tangent to the circular path. While centrifugal force is often used in common language to describe the sensation of being pushed outward in a rotating system, it is not an actual force but rather a perceived effect due to inertia.

Answer and Explanation:

Let the velocity of the car at a point is A is v

We have to tell about the acceleration at that point

Acceleration at that point will be perpendicular to the velocity and directed inside of the track

We can tell anything about the magnitude of the acceleration as magnitude of acceleration is the rate of change of velocity and here we have no information about time

While a car's velocity at a given point only describes its speed and direction at that moment, its acceleration at that point accounts for changes in speed and direction over time. To ascertain acceleration at a point, the velocities before and after that point need to be compared.

The velocity of a car at a given point, such as point A, tells us it's direction and speed at that instant. However, the acceleration of the car at that point is a different matter. Acceleration is defined as the change in velocity per unit time, and it doesn't only involve speed, but also direction. A car could be moving at a constant speed, but if it's changing direction, it's considered to be accelerating. Therefore, to ascertain acceleration at point A, we would need to know not just the velocity at point A, but also at points immediately before and after.

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Answer:

3,000 stars.

Explanation:

Subtract the magnitude of the single star from the magnitude of the star cluster.

(+4) - (+1) = +3

Then multiply your answer by 1000

= 3,000 is a stars.

Answer:

a little less than 6 micrograms

Explanation:

The half-life of an element is defined as the time in which half of the isotope emits its radiation and becomes a different element. Therefore after 4.5 billion years the meteoroid will contain 12 micrograms of uranium,  after 9 billion years will contain 6 micrograms. After 10 billion years will contain a little less than 6 micrograms.

Answer:

All of the following are true EXCEPT, the angle of refraction is 30 degrees

Explanation:

It is given that,        

The index of refraction of the water is 1.33 and the angle of incidence is 30 degrees. We know that when a ray of white light moves through the air and strikes the surface of water in a beaker, refraction occurs. Let r is the angle of refraction. It can be calculated using Snell's law as :

[tex]n=\dfrac{sin\ i}{sin\ r}[/tex]

[tex]sin\ r=\dfrac{sin\ i}{n}[/tex]

[tex]sin\ r=\dfrac{sin(30)}{1.33}[/tex]

[tex]r=22.08^{\circ}[/tex]

So, the angle of refraction is 22.08 degrees.

According to the law of reflection, the angle of incidence is equal to the angle of reflection. Since, it is incident at an angle of 30 degrees, so the angle of reflection will be 30 degrees. Also, total internal reflection will result, depending on the critical angle.

So, the wrong statement is the angle of refraction is 30 degrees. It is equal to 22.08 degrees.

Answer:

Utilize the Private VLAN feature to segregate network traffic at Layer 2, and

Utilize the ARP inspection feature to help prevent the misuse of gARP.

Explanation:

An Engineer designing layer 2 and layer 3 network, must Utilize the Private VLAN feature to segregate network traffic at Layer 2 and Utilize the ARP inspection feature to help prevent the misuse of gARP.

Answer:

The speed of electron is [tex]8.7\times10^{6}\ m/s[/tex]

Explanation:

Given that,

Separation of the plate = 1.20 cm

Suppose the field is [tex]E=1.80\times10^{4}\ N/C[/tex].

If the electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate.

What the speed does it leave the hole?

We need to calculate the acceleration

Using formula of electric force

[tex]F = qE[/tex]

[tex]ma=qE[/tex]

[tex]a=\dfrac{qE}{m}[/tex]

We need to calculate the speed of electron

Using equation of motion

[tex]v^2=u^2+2as[/tex]

[tex]v^2=2as[/tex]

Put the value of acceleration in the formula

[tex]v^2=2\times\dfrac{qE}{m}\times s[/tex]

Put the value into the formula

[tex]v^2=2\times\dfrac{1.6\times10^{-19}\times1.80\times10^{4}\times1.20\times10^{-2}}{9.11\times10^{-31}}[/tex]

[tex]v=\sqrt{2\times\dfrac{1.6\times10^{-19}\times1.80\times10^{4}\times1.20\times10^{-2}}{9.11\times10^{-31}}}[/tex]

[tex]v=8.7\times10^{6}\ m/s[/tex]

Hence, The speed of electron is [tex]8.7\times10^{6}\ m/s[/tex]

Answer: the correct option is B ( on the half of the road that the vehicle is traveling).

Explanation: according to Georgia Code About Pedestrians; The driver must stop and remain stopped to let a pedestrian cross at a crosswalk when the pedestrian is

on the half of the road that the vehicle is traveling.

Answer:

B

Explanation:

The driver must stop and remain stopped to let a pedestrian cross at a crosswalk when the pedestrian is _____________.

A. on the half of the road with traffic going in the opposite direction

B. on the half of the road that the vehicle is traveling

C. anywhere on a two-way street

According to the law regrading pedestrian, the pedestrian has the right of way immediately she is crossing on the crosswalk and is half of the road that the vehicle is travelling.

These rules are there for the safety of the driver, pedestrians  and other road users

Explanation:

The relation between angular frequency and frequency is directly proportional:

[tex]\omega=2\pi f[/tex]

So, if the angular frequency decreases, the frequency also decreases.

The relation between angular frequency and period is inversely proportional:

[tex]\omega=\frac{2\pi}{T}[/tex]

So, if the angular frequency decreases, the period increases.

When the angular frequency of an object in simple harmonic motion decreases, the period increases and the frequency decreases.

When the angular frequency of an object in simple harmonic motion decreases, the effect on the period and frequency is as follows:

Answer:

v = 2 m/s (West)

Explanation:

Given

m = 2 Kg

v initial = 4 m/s (East)

F = 6 N (West)

t = 2 s

We can use the formula

v = v initial + a*t

if F = m*a  ⇒   a = F/m = 6 N / 2 Kg

a = 3 m/s² (West)

then

v = v initial + a*t = (4 m/s) + (-3 m/s²)(2 s)

v = - 2 m/s = 2 m/s (West)

The velocity is a vector quantity. The velocity of the given cart is 2 m/s to the west.  

To solve the given problem, use the kinematic equation,

[tex]v = s + at[/tex]........................1

Where,

[tex]s[/tex] - initial speed = 4 m/s

[tex]a[/tex] - acceleration

[tex]t[/tex] - time - 2 s  

Acceleration can be calculated by the formula,

[tex]F = ma[/tex]   or

[tex]a = \dfrac Fm[/tex]

Where,

m = mass =  2 Kg    

F = force = 6 N  

So,

[tex]a = \dfrac {6}2\\\\a = 3\rm \ m/s^2[/tex]

Put the values in equation 1,

[tex]v = 4 +3\times 2\\\\v = \bold {2 m/s}[/tex]

Therefore, the velocity of the given cart is 2 m/s.

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Answer:

3. at new Moon only when the Moon is on the ecliptic.

Explanation:

A solar eclipse occurs during a new Moon, exclusively when the Moon is on the ecliptic path. This is when the Moon moves between the Earth and the Sun and blocks the sunlight. A solar eclipse can't occur during a full Moon.

A solar eclipse happens during a new Moon when the Moon is on the ecliptic path. This event occurs when the Moon moves between the Earth and the Sun and blocks the Sun's light. The Moon must be on the ecliptic, which is the apparent path of the Sun's motion on the celestial sphere, for the alignment to be precise. If the Moon is not on this path, then it will not block the Sun, and a solar eclipse will not occur. It's also important to note that during a full Moon, the Moon is opposite the Sun in our sky, so a solar eclipse cannot occur.

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Answer:

  v₂ = 2 v₁   blood velocity in the built zone is twice the speed of the normal zone,   so the correct response is c

Explanation:

For that problem we must use the fluid continuity equation

          A₁ v₁ = A₂ v₂

Where point 1 is in the normal artery and point 2 in the contraction

         v₂ = v₁  A₁ / A₂

In the exercise indicates

          A₂ = ½ A₁

          v₂ = 2 v₁

The blood velocity in the built zone is twice the speed of the normal zone, so the correct response is c

Answer:

Technician A

Explanation:

Often referred to as the profile or series, the aspect ratio of a tire is determined by dividing a tire’s section height by its section width when the tire is: inflated to maximum air pressure, mounted on the approved measuring rim, and under no load. This rules out Technician B.

A tire with a lower aspect ratio responds to lateral force more effectively than a tire with a higher aspect ratio. The aspect ratio affects steering stability. Generally, the shorter the sidewall, or the lower the aspect ratio, the less time it takes to transmit the steering input from the wheel to the tread. The result is quicker steering response. Aspect ratio also affects the tread contact patch. As a rule, a low-profile tire produces a wider tread contact patch. This wider tread contact patch creates a stiffer footprint that reduces distortion and provides improved cornering traction. Aspect ratio also impacts ride. A low-profile tire usually has a stiffer ride than the standard aspect ratio of 75 or more.

Final answer:

A. Technician A is correct about the aspect ratio of a tyre, while Technician B is incorrect about the impact of low aspect ratios on ride softness.

Explanation:

Technician A is correct. The aspect ratio of a tyre indeed represents the relationship between the tyre's cross-sectional height to its cross-sectional width. The aspect ratio is a critical factor in determining the tyre's performance and characteristics. Technician B is incorrect. Low aspect ratios do not provide a softer ride because they will deflect more over irregular surfaces.

In the given case, the aspect ratio primarily affects the tyre's handling, stability, and sidewall height. In conclusion, Technician A provides an accurate explanation regarding the aspect ratio of a tyre in relation to its dimensions and characteristics.

Answer:

The angular velocity when the arms are pulled is ω₂= 6.25 rad/s

Explanation:

Assuming that you want to determine the final angular velocity when is the arms are pulled, then it is calculated using the principle of conservation of angular momentum. It states that:

I₁ω₁=I₂ω₂

where I = moment of inertia , ω= angular velocity , 1 and 2 denote the skater with extended hands and pulled respectively.

Thus

I₁ω₁=I₂ω₂

ω₂= I₁ω₁/I₂

replacing values

ω₂= ω₁ *(I₁/I₂) = 5 rad/s *(2.25 kg·m2/1.80 kg·m2) = 6.25 rad/s

ω₂= 6.25 rad/s

Answer:

[tex]4.91803\times 10^{-7}\ m[/tex]

Explanation:

[tex]\theta[/tex] = Angular seperation = [tex]3\times 10^{-5}\ rad[/tex]

[tex]\lambda[/tex] = Wavelength

We have relation

[tex]sin\theta=1.22\dfrac{\lambda}{d}\\\Rightarrow \lambda=\dfrac{dsin\theta}{1.22}\\\Rightarrow \lambda=\dfrac{2\times 10^{-2}sin(3\times 10^{-5})}{1.22}\\\Rightarrow \lambda=4.91803\times 10^{-7}\ m[/tex]

The maximum wavelength of the telescope is [tex]4.91803\times 10^{-7}\ m[/tex]

The maximum wavelength λ at which the two sources can be resolved is of  [tex]1.49 \times 10^{-10} \;\rm m[/tex].

Given data:

The diameter of the telescope is, d = 2 cm = 0.02 m.

The angular separation of the two point source of light is, [tex]\theta = 3.0 \times 10^{-5} \;\rm radians = 3.0 \times 10^{-5} \;\rm radians \times \dfrac{\pi}{180}\\\theta = 5.23 \times10^{-7}^{\circ}[/tex].

The angular separation of two point source is also known as apparent distance between the sources, and it is defined as the angle between the two  objects as viewed directly by the observer.

The standard relation for the angular separation of telescope is given as,

[tex]sin \theta = 1.22 \times \dfrac{\lambda}{d}[/tex]

here, [tex]\lambda[/tex] is the maximum wavelength of light.

Solving as,

[tex]sin (5.23 \times 10^{-7}) = 1.22 \times \dfrac{\lambda}{0.02}\\\\\lambda = \dfrac{sin (5.23 \times 10^{-7}) \times 0.02}{1.22} \\\\\lambda = 1.49 \times 10^{-10} \;\rm m[/tex]

Thus, we can conclude that  the maximum wavelength λ at which the two  sources can be resolved is of [tex]1.49 \times 10^{-10} \;\rm m[/tex].

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Answer:

a = 2.5 m/s²

Explanation:

given,

initial speed = 0 m/s

final speed = 25 m/s

time = 10 s

acceleration of bike is equal to change in velocity per unit time

  [tex]a = \dfrac{\Delta v}{t}[/tex]

  [tex]a = \dfrac{v_f-v_i}{t}[/tex]

  [tex]a = \dfrac{25-0}{10}[/tex]

         a = 2.5 m/s²

hence, acceleration of bike is equal to a = 2.5 m/s²

Answer:

Tilt of the Earth

Explanation:

The Earth's rotational axis is titled at an angle 23.4°. When then northern hemisphere is pointed towards the Sun it is summer in the northern hemisphere and winter in the southern hemisphere.

In the northern hemisphere a day would be longer and gets more sunlight than the southern hemisphere.

The same happens when it is summer in the southern hemisphere.

Answer:

The sun is father away during the winter.

Explanation:

In the northern hemisphere, during the winter it is summer in the southern hemisphere. The sun is farther away for us so the days get shorter in the winter since the sun inches away faster.

Answer:

      v = 14.88 m / s

Explanation:

For this exercise let's use energy conservation. We place the reference system on the ground

Start. Tarzan before jumping

         Em₀ = U = m g h

Final. Upon reaching the ground

        [tex]Em_{f}[/tex]= K = ½ m v²

Energy is conserved

       Em₀ = [tex]Em_{f}[/tex]

        m g h = ½ m v²

        v² = 2gh

        v = √ 2gh

Let's calculate

        v = √ (2 9.8 11.3)

        v = 14.88 m / s

Answer:

L= 1.06 m

Explanation:

frequency of a wave in a pipe closed at one end is given by

[tex]f= \frac{v}{4L}[/tex]

L= length of the pipe

v= velocity of wave

therefore, the length of the pipe

[tex]L= \frac{v}{4f}[/tex]

[tex]L= \frac{340}{4\times80}[/tex]

L= 1.06 m

L= 1.06 m far from the wall must you move to find the first quiet spot.

The distance from the wall(i.e the pipe length) you need to move to find the first quiet spot is 1.06 m.

The smallest standing wave pattern, i.e the first fundamental frequency or harmonic for a closed pipe usually consists of one node and an antinode. When the wavelength of a closed pipe of length L is 4 L, the basic standing wave is formed.

The frequency of a sound wave for a closed pipe at one end may thus be represented using the following formula:

[tex]\mathbf{f = \dfrac{v}{4L}}[/tex]

where;

Thus, the length of the pipe can be computed as:
[tex]\mathbf{L = \dfrac{340 \ m/s}{4\times 80 \ Hz}}[/tex]

L = 1.06 m

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Answer:

Earl needs to touch the pan to the burner.

Explanation:

Earl is demonstrating heat transfer by conduction.

Conduction is the transition of heat energy by direct contact. Hotter molecules have more momentum and they move faster.These hot molecules collide with the cooler ones, transfer their energy to cooler particles , this process is continued to pass it on to other molecule near to them.

Earl needs to touch the pan to the burner.

Answer:

D the answer is D

Explanation:

Answer:

D.

Explanation:

8.1X10 to the power of 6 Joules.

Answer:

7.92×10^6Joules

Explanation:

Power is defined as the rate of change in work done. Mathematically, Power = Workdone/Time

Given power = 1.1×10³watts

Time = 2.0hours = 2×60×60

= 7,200seconds

Workdone = power × time

Work done = 1.1×10³×7200

Workdone = 7,920,000Joules

= 7.92×10^6Joules

Answer:

a= 2.667 m/s²

Explanation:

Given that

Initial velocity ,u= 2 m/s

Final velocity ,v= 10 m/s

Time taken ,t= 3 s

As we know that

v =  u +  at

a=Acceleration ,u=Initial velocity ,v= Final velocity ,t=time

Now by putting the values in the above equation

v =  u +  at

10 = 2 + a x 3

8 = 3 a

[tex]a=\dfrac{8}{3}\ m/s^2[/tex]

a= 2.667 m/s²

Therefore the acceleration of the biker will be 2.667 m/s²