A 10^3 kg load is placed on top of a lead bar of length 3.0 m. If the bar is compressed by 2.0
mm, calculate the cross-sectional area of the bar.

Answers

Answer 1

The cross-sectional area of the lead bar is [tex]9.188 \times 10^{-4} \ m^2[/tex].

Young's modulus of lead bar

The Young's modulus (E)of lead bar is given as 1.6 x 10¹⁰ Pa.

Cross-sectional area of the bar

The cross-sectional area of the bar is calculated as follows;

[tex]E = \frac{stress}{strain} = \frac{F/A}{e/l} = \frac{Fl}{Ae} \\\\A = \frac{Fl}{Ee}[/tex]

where;

A is cross-sectional areaF is applied force due to its weightE is Young's moduluse is compressionl is length

[tex]A = \frac{(mg) l}{Ee} \\\\A = \frac{(10^3 \times 9.8) \times 3}{1.6 \times 10^{10} \times 2 \times 10^{-3}} \\\\A = 9.188 \times 10^{-4} \ m^2[/tex]

Thus, the cross-sectional area of the lead bar is [tex]9.188 \times 10^{-4} \ m^2[/tex].

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Related Questions


Help me pls, I need it now​

Answers

6.) a

7.) d

8.) b

9.) b

10.) a

1. a

2. d

3. b

4. b

5. a

[tex] \: \: [/tex]

Rick's car has a mass of 1000 kg and its brakes can apply 8000 N of force. If he is driving at 32 m/s and sees something in the road suddenly, how long will it take his car to come to a stop? Use the equation below to help you.

Answers

Answer:

Given:

m=1000kg

F=8000 N

u=32m/s

v=0m/s

Required:

T=?

Solution:

F=m × a

8000N = 1000kg × a

a = 8m/s^2

Since it's deceleration -8m/s^2

a= v - u / t

-8m/s^2 = 0 - 32m/s / T

T = 4 s

Hence the car takes 4sec to stop

Please follow me

The stopping time of the car is equal to 4 seconds.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that,

m=1000kg

F=8000 N

u=32m/s

v=0m/s

The acceleration will be calculated by the formula below,

F = m × a

8000N = 1000kg × a

a = 8 m/s²

Since its deceleration -8m/s². The time taken is calculated by the formula,

a= v - u / t

-8= (0 - 32 ) / t

t = 32 / 8

t = 4 seconds

Therefore, the stopping time of the car is equal to 4 seconds.

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i need help question confuseing

Answers

Answer:

could you tell me what the question is pls, that way I can help you

Explanation:

right answer gets brainliest, wrong answer gets ignored
The star Sirius has a temperature of 10,700 degrees Celsius and has a luminosity of 23 solar luminosity units. At which letter on the HR Diagram would you place Sirius?

Answers

Answer:

A

Explanation:

Because A looks like it's in the 10,700 degree area and also in the 23 luminosity area.

(06.02 MC)
What can a scientist use to observe very small things?

Answers

Answer:

microscopic light or Nano technology

Is this an example of outline??And why?​

Answers

Answer:

Yes

Explanation:

You included all the stages of matter and described each of them. You're outlining their properties and you've created a clear diagram (and by diagram I mean chart) of solids, liquids, and gas.

what force is required to acceleration a body with a mass of 32 kilograms at a rate of 12 m/s

Answers

Answer:

384 N

Explanation:

F=m×a

F= ?

m= 32kg

a= 12m/s

32×12 = 384 N

N is newton's

hope this helps

How many neutrons are in He

Answers

There are 2 neutrons in helium.


Which car is faster A or B

Answers

Answer:

A

Explanation: Car A is the fastest

what is the kinetic energy of an object that has a mass of 12 kg and moves with a velocity of 10 m/s

Answers

Answer:

600 J

Explanation:

The formula to find the kinetic energy of an object is [tex]\frac{1}{2}mV^2[/tex]

m = mass in kgV = velocity in m/sKE is measured in Joules just as all other forms of energy.

Now, let's plug in the variables we're given and simplify.

[tex]\frac{1}{2}(12)(10)^2[/tex] [tex]\frac{1}{2}(12)(100)[/tex] [tex](6)(100)[/tex] [tex](600)[/tex]

Thus, the answer is 600 Joules.

Okay the question is calculate the current when 1200C of charge flows through a wire in 200 s.

Answers

Hi there!

Using the equation for current:

[tex]I = \frac{\Delta Q}{\Delta t}[/tex]

I = Current (A)
Q = Charge (C)
t = time (s)

Therefore, the current is equivalent to the amount of charge passing through a wire over a given time interval.

We can plug in the given values and solve.

[tex]I = \frac{1200}{200} = \boxed{6 A}[/tex]

Which one is true ?????

Answers

Answer:

b. horizontal distance/time graph

Explanation:

d is incorrect because object is moving at the same pace the entire time

Devon is riding his bicycle at 15 m/s. How far will he travel in 12 s?

Answers

Devon will travel 180m in 12 seconds. All you have to do is multiply 15 by 12. Hope this helps

How does the evolutionary process contradict the second law of thermodynamics?

Answers

Evolution, the argument goes, is a decrease of entropy, because it involves things getting more organized over time, while the second law says that things get more disordered over time. So evolution violates the second law.

Calculate how long it takes Neptune in earth years for one trip around the sun by using an average Sun-Neptune distance of 30 A.U. ( ) 0.735 earth years Show calculation: ( ) 1.84 earth years ( ) 3.37 earth years ( ) 164 earth years

Answers

Answer:

164 earth years

Explanation:

By Kepler's third law

r³/T² = constant

(30 A.U)³/T² = (1 A.U.)³/(1 earth year)²

so T = 30^1.5 = 164 earth years

A proton high above the equator approaches the
Earth moving straight downward with a speed of
365 m/s.
Find the acceleration of the proton, given that the magnetic field at its altitude is 4.10*10^-5 T.

Answers

We can see from the calculations that the acceleration of the proton is 1.43 * 10^7 ms-2.

What is acceleration?

Acceleration is the rate of change of velocity with time. We know that the magnetic force is obtained by;

F = qvB

q= 1.6 * 10^-19 C

v = 365 m/s

B =  4.10*10^-5 T

F = 1.6 * 10^-19 C * 365 m/s *  4.10*10^-5 T

F = 2.39 * 10^-20 N

Recall that the mass of the proton is 1.67 × 10−27 kg hence

a = F/m = 2.39 * 10^-20 N/1.67 × 10−27 kg  = 1.43 * 10^7 ms-2

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What is the average power consumption in watts of an appliance that uses 5.00 KW.h of energy per day?

Answers

(A) power = 0.208 kW = 208 watts
(B) energy = 6.6 x 10^{9} joules

Explanation:
energy consumed per day = 5 kWh
(a) find the power consumed in a day
1 day = 24 hours
power = \frac{energy}{time}
power = \frac{5}{24}
power = 0.208 kW = 208 watts

(b) find the energy consumed in a year
assuming it is not a leap year and number of days = 365 days
1 year = 365 x 24 x 60 x 60 = 31,536,000 seconds
energy = power x time
energy = 208 x 31,536,000
energy = 6.6 x 10^{9} joules

Brainliest if correct

Answers

Answer:

the answer is C. rocket 4.

Explanation:

[tex]a = \frac{f}{m} \\ \\ c) a = \frac{120}{3.25} = 36.923...[/tex]

it's the biggest amongst the four.

rocket one has an acceleration of 34.782...

rocket two has an acceleration of 22.429...

rocket three has an acceleration of 26.666...

rocket four has an acceleration of 36.923

Which of the following states that energy cannot be created or destroyed?

Answers

Answer:

germany

Explanation:

The pressure on a volume of liquid V = 1.0 mº at the surface is approximately equal to the atmospheric pressure Patm = 1.00 x 105 N/m2. If this volume of liquid is now
placed at a depth where the pressure is P = 2.30 x 10' N/m², what will be the change in volume of the liquid (in mº)? The bulk modulus of the liquid is 8.0 x 100 N/m².
(Include the appropriate sign with your answer.)
m
Additional Materials

Answers

Answer:-2.86*10⁻⁴

Explanation: Use the equation change in volume = (change in pressure * original volume) / Bulks Modulus. ΔV = (-Δp*V₀) / B

Plugging in your numbers, you should get ΔV = (-2.29*10⁷*1) / (8*10¹⁰) = -2.86*10⁻⁴

ΔP = P₂-P₁  ----> ΔP = 2.30*10⁷ - 1.00*10⁵ = 2.29*10⁷

i need help on a english book report

Answers

Answer:

I can help, but

Explanation:

Where is the question?

A 2kg rock is at the edge of a cliff 20m above the surface of a lake. It comes loose and falls. Half way down it is falling at 14 m/s. What is its Kinetic Energy at the half way point?

Please show work!

Answers

Answer:

196 Joules

Explanation:

kinetic energy = 1/2 * mass * velocity²

Given:

mass: 2 kgvelocity: 14 m/s

using formulae:

[tex]\rightarrow \sf kinetic \ energy = \dfrac{1}{2} * 2 * 14^2[/tex]

[tex]\rightarrow \sf kinetic \ energy = 196 \ J[/tex]

what negative influences must be avoided to be able to achieve your goal mention at least 3​

Answers

The negative influences that must be avoided in order to achieve your goal are excuses, procrastination and distractions.

What is negative influence?

A negative influence is someone or something that induces negative or bad action in someone. This bad influence can create bad energy within and corrupt good mind.

Three negative influence to avoidAvoid excusesAvoid procrastinationAvoid distractions.

Thus, the negative influences that must be avoided in order to achieve your goal are excuses, procrastination and distractions.

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A student shines a mixture of red and blue light onto a blue toy car what color will the car appear to have explain your answer

Answers

Answer:

If we use a mixture of red and blue light, the blue toy car might reflect deep magenta color. If the toy car is made up of metal, it might reflect glittery magenta color. If the intensity of the blue color is greater, the toy car might show dark blue color

Explanation:

is this right please let me know:D

Help me pls, ASAP..
____1. These are motion graphs that show a change in an object’s location over time.

____2. It can show us if an object is going backwards or forwards (direction).

____3. These are useful and effective tools in visually presenting the motion of objects.

____4. It is the line of dots on the tape that is created when a long tape is attached to

an object that is moving.

____5. It is a periodic disturbance that moves away from a source and carries energy with it.

____6. It is the maximum displacement of a particle of the medium on either side of its

normal position when the wave passes.

____7. It is a measurement of how fast the sound wave vibrates.

A. Amplitude
B. Displacement-time graph
C. Frequency
D. Motion graphs
E. Position-time graphs
F. Ticker tape diagram
G. Wave​

Answers

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

Here's the correct choices for the blank questions~

# 1 : position - time graph

#2 : Displacement - time graph

#3 : Motion graphs

#4 : Ticker tape diagram

#5 : Wave

#6 : Amplitude

#7 : Frequency

The answers to the questions are as follows :

Position time graphs ( E ) Displacement time graph ( B )Motion graphs ( D )Ticker tape diagram ( F ) Wave ( G ) Amplitude ( A ) Frequency ( C )

The different types of motion graphs

Position time graphs are motion graphs that show the change in an object position in relation to time traveled, while a displacement time graph shows if an object is going backwards or forward and unlike distance, she does not consider the direction of movement of an object.

Motion graphs are used for the presentation of the motion of objects visually.

Hence we can conclude that the answers to your questions are as listed above.

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The speed of sound is measured to be 336 m/s on a certain day. What is this measurement in kilometers per hour

Answers

Answer:here’s how you do it

Explanation:

)Which will likely produce a greater amount of static charge: a wool sweater worn under a cotton jacket, or a wool sweater worn under a rubber rain coat? Why?

Answers

A wool sweater worn under a cotton jacket produces more static charges.

What is static charge?

Static charge is an imbalance of electric charges within or on the surface of a material or between materials.

Static charges can be produced by two materials together (friction method).

A wool sweater worn under a cotton jacket (in the absence of lubricant like water) creates friction which enables more static charge to be produced.

Thus, a wool sweater worn under a cotton jacket produces more static charges.

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A 2-kg block is thrown upward from a point 20 m above the Earth's surface. At what height above Earth's surface will the gravitational potential energy of the Earth-block system have increased by 500 J?

Answers

Answer:

45.5 m

Explanation:

m = 2 kg, h = 20 m, E = 500 J, radius of earth = R, mass of earth = M

find the new height H

at h, the potential energy = -GMm/(R + h)

at H, the potential energy = -GMm/(R + H)

increase of the potential energy

= [-GMm/(R + H)] - [-GMm(R + h)]

= GMm[1/(R + h) - 1/(R + H)] = E

1/(R + h) - 1/(R + H) = E/(GMm)

(H - h)/[(R + H)(R + h)] = E/(GMm)

R + h ≈ R, R + H ≈ R

so (H - h)/R² = E/(GMm)

H - h = ER²/(GMm)

note GM/R² = g = 9.81 m/s²

so H - h = E/(mg)

H = h + E/(mg) = 20 + 500/(2*9.81) = 45.5 m

In scientific terms, anything that represents something else is called a
O theory
O model
O hypotnesis
O chemical bond

Answers

The answer is a model
Please mark brainliest!

Question #1
Given the free body diagram below, which direction will the object accelerate? Assume that the length of
Fair is the same as Fapp.

Answers

Given the diagram provided, we can confirm that the object will accelerate in a downward direction.

Why will it accelerate downwards?

The free-body diagram shows us the forces that are acting on this object. Through this diagram, we can see that the forces on the left and right of the object are balanced, meaning that there will not have movement in either of these directions.

The diagram shows that the downward force being applied is not balanced by an opposite force, so the object will accelerate in this direction.

Therefore, we can confirm that object will accelerate in a downward direction due to its downward force not being balanced by an opposing force.

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