A 0.0780 kg lemming runs off a
5.36 m high cliff at 4.84 m/s. What
is its potential energy (PE) when it
lands?

Answers

Answer 1

Answer:

Ek = Ekv + Ekh = 4.101 + 0.914 = 5.015J

Explanation:

A 0.0780 kg lemming runs off a 5.36 m high cliff at 4.84 m/s. What is its potential energy (PE) when it lands

The potential energy PE, relative to the ground, will be zero, because the lemming is at the ground level.

HOWEVER, a much better question would be:

A 0.0780 kg lemming runs off a 5.36 m high cliff at 4.84 m/s. What is its kinetic energy (KE) when it lands?

Let’s review the 4 basic kinematic equations of motion for constant acceleration (this is a lesson – suggest you commit these to memory):

s = ut + ½at^2 …. (1)

v^2 = u^2 + 2as …. (2)

v = u + at …. (3)

s = (u + v)t/2 …. (4)

where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.

In this case, u = 0, a = 9.81m/s^2, s = 5.36m

So we find v using equation (2)

v^2 = u^2 + 2as

v^2 = 0 + 2(9.81)(5.36) = 105.1632

So the kinetic energy resulting from the vertical drop is Ekv = ½mv^2

Ekv = ½(0.078)(105.16) = 4.101J

BUT we need to add in the kinetic energy resulting from the horizontal velocity, which did not change during the vertical drop.

Ekh = ½(0.078)(4.84^2) = 0.914J

So the total kinetic energy is Ek = Ekv + Ekh = 4.101 + 0.914 = 5.015J

Answer 2

The potential energy of the object with a mass of 0.0780 kg  moving from a height of 5.36 m is 4.09 J.

What is potential energy ?

Potential energy of an object is generated by virtue of its position at a height from the ground. It is stored in the object when it is at rest, Whereas,  kinetic energy is generated by virtue of the motion of the body.  These energies are together called mechanical energy of the object.

When the object starts moving from rest, its potential energy starts to convert into kinetic energy and when it stops the reverse occurs . The potential energy of  a body is dependant on its mass and height by the equation:

p = mgh

Given that, mass of the object = 0.078 kg

height  h = 5.36 m

acceleration due to gravity g = 9.8 m/s²

then potential energy p = 0.078 × 9.8 m/s² ×5.36 m = 4.09 J

Therefore, the potential energy of the lemming is 4.09 J.

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Related Questions

Review. For a certain type of steel, stress is always proportional to strain with Young's modulus 20 × 10¹⁰ N/m² . The steel has density 7.86× 10³kg / m³. It will fail by bending permanently if subjected to compressive stress greater than its yield strength бy = 400MPa. A .rod 80.0cm long, made
of this steel, is fired at 12.0 m/s straight at a very hard wall.(c) How far has the back end of the rod moved in this time interval? Find

Answers

The back end of the rod moved [tex]1.90\ \mathrm{mm}$[/tex] in this time interval.

Given:

Young's modulus, Y = [tex]20 \times 10^{10}\;N/m^{2}[/tex]

Steel density, [tex]\rho = 7.86 \times 10^{3}\;kg/m^{3}[/tex]

Length of the rod, L = 80 cm = 0.800m

The speed of the wave in the rod is

[tex]$v = \sqrt{\frac{Y}{\rho}} = \sqrt{\frac{20\times 10^{10}\ \mathrm{N/m^2}}{7.86\times 10^3\ \mathrm{kg/m^3}}} = 5044\ \mathrm{m/s}$[/tex]

Hence the time taken by the wave to travel the end of the rod is,

[tex]$t=\frac{L}{v} = \frac{0.800\ \mathrm{m}}{5044\ \mathrm{m/s}} = 1.58\times 10^{-4}\ \mathrm{s}$[/tex]

The velocity of the rod is [tex]$v_r = 12.0\ \mathrm{m/s}$[/tex]

The other end will keep moving after the front end hits the wall until the wave reaches the other end, given the period determined by the above problem.

As a result, before the wave reaches the end of the rod, it has traveled a distance of

[tex]$\Delta L = v_r t = (12.0\ \mathrm{m/s}) (1.58\times\ \mathrm{s}) = 1.90\times 10^{-3}\ \mathrm{m} = 1.90\ \mathrm{mm}$[/tex]

Hence, the [tex]1.90\ \mathrm{mm}$[/tex] at the back end of the rod moved in this time interval.

What do you mean by Youngs Modulus?

Young's Modulus is a measurement of the mechanical characteristics of linear elastic solids like rods, wires, and other similar objects. It is also known as the Elastic Modulus or Tensile Modulus. Young's modulus is the most often used measurement of a material's elastic properties; other measurements include bulk modulus and shear modulus. This is so that it can inform us about a material's tensile elasticity (ability to deform along an axis).

The relationship between stress (force per unit area) and strain is described by Young's modulus (proportional deformation in an object). Thomas Young, a British scientist, is honored with the name of the Young's modulus. When a certain load is applied to a solid object, it deforms.

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A Smart Car, which has a mass of 1000 kg, is going 20 m/s. When it hits the barrier, it stops at a time of 0.5 seconds. What is the force on the car?

Answers

Answer:

The force = F =  -40000 N

Explanation:

Mass m = 1000 kg speed v₁ = 20 m/s speed v₂ = 0 m/s t = 0.5

We know that,

Calculating the acceleration

using the formula

a = (v₂ - v₁) / t

   = 0 - 20 / 0.5

  = -20 / 0.5

   = -40 ms⁻²

Thus, acceleration (deceleration) = a = -40 ms⁻²    

Note: negative sign gives us an idea the car is slowing down after a collision with the barrier, thus acceleration and velocity are in opposite direction.

We know that

F = ma

   = 1000 × -40

   = -40000 N

Thus, the force = F = -40000 N

A box moves 5m horizontally when force F=10N is applied at an angle 0=30°.
What is the work done?
please help and show your work if you can

Answers

Answer:

43.3J

Explanation:

Given parameters:

Force  = 10N

Distance  = 5m

Angle  = 30°

Unknown:

Work done  = ?

Solution:

Work done is the force applied to move a body through a particular distance;

 Work done  = Force x distance cos Ф

Now insert the parameters and solve;

     Work done  = 10  x 5 cos 30 = 43.3J

When two mechanical waves interact and their crests line up, they create constructive interference. True or False?

Answers

The correct answer is going to be true for this question

What is force?
Relate force and motion.
What forces control the motion of everyday objects?
Identify and define the SI unit for force.
Draw a diagram to represent a foot kicking a resting soccer ball. Use arrows to represent the force applied to the ball and to show how the ball moves after it is kicked

Answers

here i hope this helps, let me know if you need clarification on anything :)

Please help me will mark u brainiest

Answers

Answer:

C. 2.5 N

Explanation:

The sum of downwards moments equals sum of moments upwards

Downwards moments

Moments= Force*distance

               = [10/100 * 2 ] +[20/100*4]

               =[0.1*2] +[0.2*4]

               =[0.2+0.8]

               = 1.0 N

Equate this answer to upward force ;

1.0 N = 0.4 *U

1/0.4 =U

2.5 N =U

A 0.50-kilogram frog is at rest on a rock next to a pond. The frog leaps pushing off of the rock with an acceleration of 5.0 m/s2. What is the magnitude of the net force exerted on the frog as it leaps? a)2.5 N b)1.5 N c)1.0 N d)2.0 N

Answers

Given that,

Mass of a frog, m = 0.5 kg

The frog leaps pushing off of the rock with an acceleration of 5.0 m/s².

To find,

The magnitude of the net force exerted on the frog as it leaps.

Solution,

Let the net force exerted on the frog is given by the formula as follows :

F = ma

Putting the values of m and a to find F as follows :

F = 0.5 kg × 5 m/s²

F = 2.5 N

So, the magnitude of net force is 2.5 N.

The magnitude of the net force exerted on the frog as it leaps is 2.5 Newtons.

Hence, Option a) 2.5N is the correct answer.

Given the data in the question;

Mass of frog; [tex]m = 0.5kg[/tex]Acceleration; [tex]a = 5.0m/s^2[/tex]

Force Exerted; [tex]F = ?[/tex]

To determine the magnitude of the net force exerted on the frog as it leaps, we the expression from the Newton's Second law of motion:

[tex]F = m * a[/tex]

Where m is mass and a is acceleration

We substitute our given values into the equation

[tex]F = 0.5kg * 5.0m/s^2\\\\F = 2.5kgm/s^2\\\\F= 2.5N[/tex]

The magnitude of the net force exerted on the frog as it leaps is 2.5 Newtons.

Hence, Option a) 2.5N is the correct answer.  

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M A particle with positive charge q = 3.20 ×10⁻¹⁹C moves with a velocity →v = (2i + 3j - k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (b) What angle does the force vector make with the positive x axis?

Answers

The Magnitude of force on the charged particle is -

F = (12.8 x 10⁻¹⁹C)i - (3.2 x 10⁻¹⁹C)j - (6.4 x 10⁻¹⁹C)k

We have a positively charged particle that moves through a region where both a uniform magnetic field and a uniform electric field exist.

What is Lorentz Force?

The force exerted on a charged particle (q) moving with velocity (v) through an Electric field (E) and Magnetic field (B) is called Lorentz force.

Mathematically -

|F| = qE + qv x B

According to the question, we have -

q = 3.20 × 10⁻¹⁹C

v = (2i + 3j - k) m/s

B = (2i + 4j + k) T

E = (4i - j - 2k) V

Now, using the formula to calculate Lorentz force -

F = q(4i - j - 2k) + q(2i + 3j - k) x (2i + 4j + k)

F = q(4i - j - 2k) + (2qi + 3qj - qk) x ((2i + 4j + k)

F = q(4i - j - 2k) + 0

F = q(4i - j - 2k)

F = (12.8 x 10⁻¹⁹C)i - (3.2 x 10⁻¹⁹C)j - (6.4 x 10⁻¹⁹C)k

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as you walk to the grocery store you walk 800m north, 600m east and 200m south at a speed of 1m/s. what is your velocity?

Answers

According to the question as you walk to the grocery store you walk 800m north, 600m east, and 200m south at a speed of 1m/s. Then your velocity will be ( V = 0.5m/sec )

Velocity is the directional pace of an object in movement as an indication of its price of alternate in function as located from a specific body of reference and as measured by a particular widespread of time.

To find the velocity follow the following steps:

Displacement of 800m north, 600m east, and 200m south from the Cartesian coordination is given as 600[tex]\sqrt{2}[/tex]

Velocity = displacement / time

Therefore time = distance / speed

Time = 800 + 600 + 200 / 1

Time = 1600s

Therefore velocity = 600[tex]\sqrt{2}[/tex] / 1600

Velocity = 0.5m/sec

A Cartesian coordinate gadget in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the factor from constant perpendicular oriented strains, measured in the equal unit of duration.

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A car is driving at 33 m/s and slows down to 29 m/s over a period of 10 seconds. what is its acceleration?

Answers

The acceleration is -0.4 m/s² if the car is driving at 33 m/s and slows down to 29 m/s over a period of 10 seconds.

What is acceleration?

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

As we know,

The acceleration can be found using the formula:

a = Δv/t

Here a is the acceleration

Δv is the change in linear velocity

t is the time

Δv = 29 - 33

Δv = -4 m/s

t = 10 seconds

a = -4/10

a = -0.4 m/s²

Thus, the acceleration is -0.4 m/s² if the car is driving at 33 m/s and slows down to 29 m/s over a period of 10 seconds.

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How does the parallax of a nearby object compare to that of an object farther away?.

Answers

If we compare the parallax of a nearby object with an object farther away then we observe that the closer objects have a larger parallax as compared to farther objects.

Parallax refers to the apparent distance of an object and happens in everyday situations.

On a linear surface, when an object is seen from a different viewpoint from a particular distance, it exhibits parallax.

It also occurs due to the change in the viewpoint of an observer.

Parallax is represented by the formula d = p1 where 'd' is parsecs and 'p' is the parallax angle which is calculated in arc seconds.

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What happens when a metal bar is heated?
A The distance between the molecules increases, making the bar longer.
B The molecules get larger, making the bar longer.
с The molecules vibrate more quickly, making the bar denser.
D The speed of the molecules increases, making the bar thinner.

Answers

Answer:

When something is heated, its atoms vibrate. If one end of a metal bar is heated, the atoms at that end vibrate more than the atoms at the cold end. The vibration spreads along the bar from atom to atom. ... Metals are good conductors of heat.

Explanation:

A net impulse delivered to an object always causes a change in the object's
what? A. Energy B. Momentum C. Speed D. mass

Answers

Answer:

momentum

Explanation:

The net impulse delivered to an object always causes a change in the object's momentum. Hence, option (B) is correct.

The given problem is based on the concept of net impulse. The magnitude of force acting on any object for very short interval of time is known as impulse. In the given problem, the transfer of impulse can be explained by the impulse - momentum theorem.

As per the impulse-momentum theorem, "The magnitude of force applied for a very short interval of time is equal to the change in linear momentum , such that the magnitude of force is known as impulse. Ans the expression is,

[tex]F \times t = \Delta P\\\\I= \Delta P[/tex]

Here, I is the impulse.

Thus, we can conclude that the net impulse delivered to an object always causes a change in the object's momentum. Hence, option (B) is correct.

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Consider a block on frictionless ice. Starting from rest, the block travels a distance din
time t when force Fis applied. If force 4F is applied, the distance the block travels in
time tis:

Answers

Answer:

The distance is now 4d

Explanation:

Mechanical Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

F = m.a

Where a is the acceleration of the object.

The acceleration can be calculated by solving for a:

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

Once we know the acceleration, we can calculate the distance traveled by the block as follows:

[tex]\displaystyle d = vo.t+\frac{at^2}{2}[/tex]

If the block starts from rest, vo=0:

[tex]\displaystyle d = \frac{at^2}{2}[/tex]

Substituting the value of the acceleration:

[tex]\displaystyle d = \frac{\frac{F}{m}t^2}{2}[/tex]

Simplifying:

[tex]\displaystyle d = \frac{Ft^2}{2m}[/tex]

When a force F'=4F is applied and assuming the mass is the same, the new acceleration is:

[tex]\displaystyle a'=\frac{4F}{m}[/tex]

And the distance is now:

[tex]\displaystyle d' = \frac{4Ft^2}{2m}[/tex]

Dividing d'/d:

[tex]\displaystyle \frac{d' }{d}=\frac{\frac{4Ft^2}{2m}}{\frac{Ft^2}{2m}}[/tex]

Simplifying:

[tex]\displaystyle \frac{d' }{d}=4[/tex]

Thus:

d' = 4d

The distance is now 4d

A football goalkeeper moves across her goal in a straight line. Her motion is shown on the following graph of horizontal position xxx vs. time ttt. Graph of x (in meters) vs. t (in seconds). The y-intercept is at (0,0), then x increases linearly from 0 m to 2 m over 4 s, stays constant at 2 m from 4 to 8 seconds, and then decreases linearly from 2m to 0 m between 8 s and 12 s. Graph of x (in meters) vs. t (in seconds). The y-intercept is at (0,0), then x increases linearly from 0 m to 2 m over 4 s, stays constant at 2 m from 4 to 8 seconds, and then decreases linearly from 2m to 0 m between 8 s and 12 s. What is the average speed of the goalkeeper between the times t=4\text{ s}t=4 st, equals, 4, start text, space, s, end text and t=12\text{ s}t=12 st, equals, 12, start text, space, s, end text? Choose 1 answer: Choose 1 answer: (Choice A) A -0.25\,\dfrac{\text m}{\text s}−0.25 s m ​ minus, 0, point, 25, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction (Choice B) B 0.50\,\dfrac{\text m}{\text s}0.50 s m ​ 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction (Choice C) C -0.50\,\dfrac{\text m}{\text s}−0.50 s m ​ minus, 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction (Choice D) D 0.25\,\dfrac{\text m}{\text s}0.25 s m ​

Answers

Answer:

0.25 m/s

Explanation:

Acceleration cannot be negative.

QC Two waves simultaneously present on a long string have a phase difference π between them so that a standing wave formed from their combination is described by
y(x,t) = 2Asin( kx + π/2 ) cos( ωt - π/2) (a) Despite the presence of the phase angle π, is it still true that the nodes are one-half wavelength apart? Explain.

Answers

The equation of motion of the standing wave, y(x, t) = 2•A•sin(k•x + π/2)•cos(w•t - π/2), indicates that it is still true that the nodes are one half the wavelength apart

Therefore;

It is still true that the nodes are one half the wavelength apart

What are the nature of standing wave?

The equation describing the standing wave formed by the two waves is y(x, t) = 2•A•sin(k•x + π/2)•cos(w•t - π/2)

A standing wave is formed when two waves that have equal amplitude and frequency and moving in opposite directions, are combined.

A standing wave can be formed by a wave and its reflection, resulting in a wave where there is no propagation of particles beyond the vibration region.

The fundamental frequency of a standing wave consists of two nodes and an antinode.

The wavelength is the distance between two peaks of one wave, such that two nodes are formed within the span of a wavelength, which makes the distance between nodes being half the wavelength of the wave.

Therefore;

It is still true that the nodes are one half the wavelength apart.

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a car accelerates from rest to 90 kilometre per hour in 10 seconds what is its acceleration in metre per second squared​

Answers

Answer:2.5 m/s2

Explanation:

Acceleration =v2-v1 ÷ t2-t1 convert 90 km/h to m/s = 90×5/18 = 25 m/s , 25÷10 = 2.5

Name the changes in the state of matter
Solid to liquid
Liquid to gas
Gas to liquid
Liquid to solid
Solid to gas

Answers

Liquid to gas phase transitions are known as "vaporization." Liquid to solid phase transitions are known as "freezing." Solid to liquid phase transitions are known as "melting." Solid to gas phase transitions are known as "sublimation." In most cases, solids turn into gases only after an intermediate liquid state.

hope this helps!!

PLEASE ANSWER ASAP I will give 30 points
Many scholars and historians see Florence, Italy as the “New Athens” and the center of the Renaissance. Why would Florence receive this title and how did Florence live up to it?

Answers

Answer:

Florence is often named as the birthplace of the Renaissance. The early writers and artists of the period sprung from this city in the northern hills of Italy. As a center for the European wool trade, the political power of the city rested primarily in the hands of the wealthy merchants who dominated the industry

Explanation:

Answer:

Florence is often named as the birthplace of the Renaissance. The early writers and artists of the period sprung from this city in the northern hills of Italy. As a center for the European wool trade, the political power of the city rested primarily in the hands of the wealthy merchants who dominated the industry

Explanation:

in a slap shot, a hockey player accelerates the puck from a velocity of 5 m/s to 30 m/s in the same direction. if the puck moves over a distance of 10 m during this process, what was the acceleration? group of answer choices

Answers

The acceleration of the puck is 43.75 m/s².

The velocity of an object or particle in uniform motion is defined as the rate at which its direction is changing as seen from a particular angle and as measured by a particular unit of time.

The player's puck accelerates from a velocity of 5 m/s to 30 m/s in the same direction.

The player's puck covers a distance of 10 m during that process.

Therefore,

The initial velocity of the puck is u = 5 m/s

The final velocity of the puck is v = 30 m/s

The distance covered during the period is s = 10 m

Using the equation of motion,

v² - u² = 2as

(30)² - (5)² = 2 × a × 10

900 - 25 = 20 × a

875 = 20 × a

a = 875/20

a = 43.75 m/s²

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A forklift was used to lift a 750 kg. oil drum 18 m straight up into the air to store on a shelf. If it does it in 28 seconds, Calculate the work and power exerted by the forklift.
W= J

P= watts

Answers

Explanation:

Given parameters:

Mass of forklift  = 750kg

Height of lift  = 18m

Time taken  = 28s

Unknown:

Work done = ?

Power = ?

Solution;

 The work done by the forklift is given as:

  Work done = mass x acceleration due to gravity x height

   Work done  = 750 x 9.8 x 18  = 132300J

Power is the rate at which work is done;

      Power  = [tex]\frac{work done }{time}[/tex]  

 Insert the parameters and solve;

    Power  = [tex]\frac{132300}{28}[/tex]  = 4725W

i need help please!!

Answers

The answer is A. 3/4

Which form of heat transfer transfers both matter(particles) and energy?
Conduction
Convection
Radiation
None of these

Answers

the answer is conduction, it transfers kinetic energy

What part of an experiment contains the data tables and graphs
?

Answers

Answer:    Review your data. ...

   Calculate an average for the different trials of your experiment, if appropriate.

   Make sure to clearly label all tables and graphs. ...

   Place your independent variable on the x-axis of your graph and the dependent variable on the y-axis.

Hope this helps!!

which has an effect on acceleration (speeding up, slowing down, or changing direction)?

Answers

Explanation:

If acceleration points in the same direction as the velocity, the object will be speeding up. The acceleration points in the same direction as the velocity if the car is speeding up, and in the opposite direction if the car is slowing down.

julie drives 100 mimi to grandmother's house. on the way to grandmother's, julie drives half the distance at 34.0 mphmph and half the distance at 66.0 mphmph . on her return trip, she drives half the time at 34.0 mphmph and half the time at 66.0 mphmph .

Answers

The average speed is r=50 mph

What is speed?

Teenagers, young adults, and others use the stimulant medication known as "speed" to feel more focused and alert, and occasionally to get euphoric. Several types of speed are also used by some people to suppress their appetite. Different speed types include: Amphetamines (used to treat ADHD, narcolepsy, and depression)

In essence, an object's speed indicates how quickly it is moving. Its velocity reveals how quickly it is moving in a specific direction. In your daily life, you utilize speed measures, but in physics, velocity measurements are more frequently used.

distance=rate*time

total distance=rate*total time

to Grandmother's...

50=34*t

50/34=t

t=25/17 hours for the first 50 miles

50=66*t

50/66=t

t=25/33 hours for the second 50 miles

total distance=50+50=100 miles

total time=25/17+25/33

total time=(825/561)+(425/561)=1250/561 hours

total distance=rate*total time

100=r*(1250/561)

r=(100)(561/1250)

r=56,100/1250

r=5610/125

r=1122/25

r=44.88 mph is the average speed (rounded it is 44.9 mph)

Note: If you are familiar with the simplified form of the harmonic mean you can solve the problem that way. If not, that's okay. You can look it up if you like.

(2*34*66)/(34+66)=4488/100=44.88 again

from Grandmother's house...

because the times are the same you simply add the 2 rates and divide by 2

(34+66)/2=100/2=50 mph is the average speed

d=r*t

100=34*t+66*t (the times are the same, t)

100=100*t

t=1 hour traveling at 34 mph and 1 hour traveling at 66 mph for a total of 2 hours traveling

d=r*t

100=r*2

r=100/2

r=50 mph is the average speed

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1.10 You bring a negatively charged rubber rod close to a grounded
conductor without touching it. Then you disconnect the ground. What is the
sign of the charge on the conductor after you remove the charged rod?
a) negative
b) positive
d) cannot be determined from the
information given
c) no charge

Answers

The conductor after disconnected from the ground is positively charged after you remove the rubber rod.

Electrostatic induction is the change in a material's electric charge under the influence of another nearby object that has electric charge. For Electrostatic induction to occur a charged particle is held close (without touching it ) to a uncharged material that is grounded .

So, when the negatively charged rubber rod is brought closer to the grounded conductor which is neutral, a positive charge is induced on the conductor's side which is closer to the rubber rod and a negative charge on the other side which is close to the ground. So the negative charge starts escaping through ground. As it is disconnected from the ground, the conductor becomes positively charged.  

Therefore, the conductor is positively charged after you remove the rubber rod.

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If you wanted to hold a concert in a place that caused the sound waves
generated by the musicians to produce very few echoes, which place would
you choose?
A. A room with flat surfaces that reflect sound
B. A room lined with soft materials that absorb sound
C. A room furnished with transparent materials that refract sound
D. A room lined with hard materials that amplify sound

Answers

Answer: A room lined with soft materials that absorb sound.

Explanation:

Just did it :))

A plane flew for 2 hours at 467 mph and 5 hours at 536 mph how far did the plane fly in miles?

Answers

Answer:

3614

Explanation:

A solid sphere of radius 40.0cm has a total positive charge of 26.0μC uniformly distributed throughout its volume. Calculate the magnitude of the electric field(b) 10.0cm

Answers

The magnitude of the electric field is 3.65×10^5N/C directed radially outward.

R (radius of the solid sphere) = (10cm)( 1m /100cm) = 0.1m

[tex]Q\;(\text{total charge of the solid sphere})=(26\;\mathrm{\mu C})\left(\dfrac{1\;\mathrm{C}}{10^6\;\mathrm{\mu C}} \right)=\textcolor{#ff9c8c}{26\times 10^{-6}\;\mathrm{C}}[/tex]

Since [tex]{r=0.1\;\mathrm{m} < R}[/tex], we can use Equation [tex]E&=\dfrac{Qr}{4\pi \epsilon_0 R^3}\tag{5}[/tex] to find the magnitude of the electric field:

Substitute numerical values:

[tex]E&=\dfrac{(26\times 10^{-6})(0.1)}{4\pi (8.8542\times 10^{-12})(0.4)^3}\\ &={3.65\times 10^5\;\mathrm{N/C}\;\text{directed radially outward}}}[/tex]

Magnitude generally refers to distance or quantity. In comparison to motion, Magnitude defines the size of an entity or its speed when moving.

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