Suppose a 100-gram mass, when attached to a spring, causes the spring to stretch 8 cm.
What would you expect a 25-gram mass to do when attached to the same spring?
(1 point)
O Stretch the spring 4 cm.
O Stretch the spring 8 cm.
O Stretch the spring 32 cm.
O Stretch the spring 2 cm.

The work done by polytropic process is -69.88 kJ.

The work for the polytropic process is determined using  

P . v^n = constant.

where P is pressure, V is specific volume

As we know that

W = m∫Pdv

W = m(P2v2 - P1v1) / (1 - n)

In order to evaluate this expression, we need to determine the specific volumes and the polytropic exponent, n.

State 1: v1 = vg1 = 0.0993 m3/kg

State 2: at 12 bar, 80oC; v2 = 0.02051 m3/kg

Hence by using polytropic exponent

P1 / P2 = (v2 / v1)^n

n = ln(2/12) / ln(0.02051/0.0993)

n = 1.136

Find the work done

W = m(P2v2 - P1v1) / (1 - n)

W = 2kg(12bar . 0.02051m³/kg - 2 . 0.0993) / (1 - 1.136) x (10⁵ N/m²/1 bar) x (1 kJ / 10³ Nm)

W = -69.88 kJ

Find more on polytropic at: https://brainly.com/question/13574969

#SPJ4

The amount of metal in a closed cylindrical can that is 10 cm high and 4 cm in diameter if the metal on the top and the bottom is 0.1 cm thick and the metal on the sides is 0.05 cm thick is 8.8 cm.

The formula for calculating the volume of a cylinder is given below.

V = πr^2 h

Get the differential of the volume as shown:

dV = V/ h dh + V / r dr

V/ h = πr^2

V/ h  = 2  πr h

Now, the differential becomes

dV =  πr^2dh +  2πrh dr

Given the following parameters i.e. diameter and height

dh = 0.1 + 0.1 = 0.2 cm

dr = 0.05 cm

h = 10 cm

d = 4 cm  

r = 2cm

Substituting the values in the above equation, we get

dV = 3.14(2)^2(0.2)  + 2(3.14)(2)(10)(0.05)

dV = 2.512 + 6.28

dV = 8.792 cm

dV = 8.8 cm

If you need to learn more about diameter click here:

https://brainly.com/question/16813738

#SPJ4

D. The distance traveled by the baseball during the given time is 62.32 m.

The distance traveled by the baseball is calculated as follows;

s = vt - ¹/₂gt²

where;

The given parameters;

v, initial velocity of the baseball = 85 mph = 38 m/s

g is acceleration due to gravity = 9.8 m/s²

t is the time of motion, = 5.4 seconds

Substitute the given parameters and solve for the distance travelled by the baseball as shown below.

s = (38 m/s)(5.4 s) - ¹/₂(9.8 m/s²)(5.4 s)²

s = 205.2 - 142.88

s = 62.32 m

Thus, the distance traveled by the baseball during the given time is 62.32 m.

Learn more about distance of motion here: https://brainly.com/question/1326450

#SPJ1

The maximum height reached by the bullet is 12,500 m.

The velocity of the of the bullet at 10s is 600 m/s.

The velocity of the of the bullet at 20s is 700 m/s.

The velocity of the of the bullet at 60s is 1,700 m/s.

The time required for the object to move to maximum height is 50.5 seconds.

The height reacted by the bullet at time, t = 20 seconds is 12,000 m.

The height risen by the bullet when the first velocity is 40 m/s is 80 m.

The maximum height reached by the bullet is calculated as follows;

v² = u² - 2gh

v² = 2gh

h = v² /2g

h = (500²)/(2 x 10)

h = 12,500 m

v = u + at

when t = 10 s

v = 500 m/s  +  10(10)

v = 600 m/s

when the time, t = 20 seconds

v = 500 + 20(10)

v = 700 m/s

when the time, t = 60 s

v = 500 + 20(60)

v = 1,700 m/s

t = √(2h/g)

t = √(2 x 12,500 / 9.8)

t = 50.5 seconds

h = ut + ¹/₂gt²

h = (500 x 20)  +  ¹/₂(10)(20²)

h = 12,000 m

h = v² /2g

h = (40²)/(2 x 10)

h = 80 m

Learn more about maximum height here: https://brainly.com/question/12446886

#SPJ1

If Abby runs for 8 seconds at this constant speed, Abby will travel 20 meters at this constant speed.

The Speed = 10/4 = 2.5 m/s

Distance = speed x time d=st

In 8 seconds, d=2.5 x 8 = 20 meters

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is regarded as a vector, whereas speed is a scalar value.

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

To know more about the rate of speed visit:

https://brainly.com/question/2097192

#SPJ4

Amount of work done required to raise one end of the chain is 158.6 J

Work is said to be done when a  force act on a body and it displaced from its position.

It's unit is joule.

W = F × S

where

W = work done

F = force applied

S = displacement

Force acting on the chain with respect to the distance is given by

F = mgx / 10

m is mass

m = 90 kg

g is gravity (9.8 m/s2 for g.)

90× 9.8× x / 10

F = 88.2x Newton

To calculate the amount of work done.

[tex]W = \int\limits^f_i{F(x)} \, dx[/tex]

[tex]W = \int\limits^6_0 {F(x)} \, dx[/tex]

[tex]W = 88.2\int\limits^6_0 {x} \, dx[/tex]

[tex]W = 88.2 | \frac{x^2}{2}|^{6} _{0}[/tex]

W = 88.3( 6² - 0²)/2

W = 88.2 (36- 0) /2

W = 88.2 × 18

W = 158.6 J

Amount of work done required to raise one end of the chain is 158.6 J

To know more about work done

https://brainly.com/question/14543469

#SPJ4

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force applied on the item determines the object's acceleration.

A train starts from rest and accelerate uniformly until it attains a velocity of 8m/s in 10 seconds. calculate the acceleration of the train​.

a = 8/10

a = 0.8m/s2

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included.

To know more about acceleration, click on the link below:

https://brainly.com/question/16876581

#SPJ9

Answer:

If a stream channel is 5 meters wide and 3 meters deep, and the velocity of the water moving through the channel is 10 meters/second, what is the stream's discharge (include units)? ... and deposition (point bars) occurs on the inside

Explanation:

Answer: Option 4 (last graph)

Explanation:

1. Since you're driving at a constant speed, the line for your car will be linear. This rules out the first option.

2. This is a position time graph (x-t) graph. This means that to be moving forwards, there should be a positive slope. Option 3 can be eliminated as your car has a slope of 0. A slope of 0 on a position time graph shows an object at rest, not an object in motion.

3. The 2nd option can be ruled out as it represents that you are going faster than the other car. The steeper the slope = the faster the speed.

4. This ultimately leaves you with the last option as your final answer!

Answer:

you did not show a timeline luckly i did the the quiz it is the second timeline

Explanation:

Answer:

b

Explanation:

I did the test

A car is travelling with a acceleration of 4 m/s². Assuming the car starts from rest, The time need to accelerate to the speed of 40 m/s is (t)=10 s.

Time is a scalar quantity. its shows the period when the process happened. It can be measured in hour, minute, seconds etc.

To calculate the time need to accelerate to the wanted speed we are using the formula, v=u+at

Here we are given,

u= the initial velocity of the car = 0m/s [Note: the car starts from rest]

a= the  acceleration of the car = 4 m/s².

v= the final velocity of the car = 40 m/s.

we have to calculate the time need to accelerate to the wanted speed =t

Now, we put the values in the above equation,

v=u+at

Or, t= v/a [Note: u=0]

Or, t= 40/4

Or, t=10 m/s.

From the above calculation, we can say that the time need to accelerate to the wanted speed is (t)=10 s

Learn more about Time:

https://brainly.com/question/10428039

#SPJ9

Answer:  Problem 03.043 - Velocity-time graph The figure shows a plot of vx(for a car traveling in a straight line. Vx (m/s) 20 | 15 20 7(s) What is aav.x between t = 9.00 s and t = 110 s? 7 m/s2 What is Vav,x for the time interval from t= 9.00 s to r= 110 s? What is Vav.x for the interval t = 0 to t= 15.0 s? m/s What is the increase in the car's speed between 10.0 s and 15.0 s? m/s How far does the car travel from time t = 100 s to t = 170 s?

The answer is 03.043 but i dont know maybe my brain is incorrect but I got 03.043. :| hope it helped if its correct.

Explanation: Well, I havent done math in a while bc im not in school anymore so i forgot all that stuff :|

The exit area of the nozzle is 0.000861 m² which is calculated using ideal gas equation.

Velocity = 280 m/s

Rate = 2.5 kg/s

Pressure = 2 MPa

Temperature = 400°C

Using equation of Ideal gas

PV= RT

V= RT/P

V= 0.0965 [tex]m^{3}[/tex]/ kg

Using equation of continuity

(dm/dt) = [tex]A_{1}[/tex]v/V

[tex]A_{1}[/tex]= 0.000861 [tex]m^{2}[/tex].

A theoretical gas known as an ideal gas is made up of several randomly moving point particles with no interparticle interactions. Because it abides by the ideal gas law, a condensed equation of state, and is amenable to statistical mechanics analysis, the ideal gas concept is helpful.

To learn more about ideal gas from the given link:

brainly.com/question/28257995

#SPJ4

By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

Find more on uniform motion at: https://brainly.com/question/28040370

#SPJ4

Answer:

Cultural intelligence

Explanation:

By calculating, a) frequency = 100 Hz b)wavelength = 4 cm  C )Speed = 400 cm/s d) Amplitude =  2 cm e)period = 0.01 s f)wave number  = 0.5π  g)angular velocity = 200π. ​

Given in question

Y = 2 sin π (0.5x - 200t)

Y = 2 sin (0.5πx - 200πt)

Comparing it with the standard form of a wave equation:

Y = Asin (kx - ωt) where

A= amplitude

K = wave number = 2π/λ where λ = wavelength

ω = Angular velocity = 2πf where f = frequency

We get

a) 2πf = 200π

    f = 100 Hz

b) 2π/λ =0.5π

   λ = 2π/0.5π

   λ = 4 cm

c) Speed v = ω/k

v = 200π/0.5π

v = 400 cm/s

d) A= amplitude = 2 cm

e)  period = 1/f = 0.01 s

f) K = wave number = 0.5π

g) ω = Angular velocity = 200π

Therefore, by comparing  a) frequency = 100 Hz b)wavelength = 4 cm  C )Speed = 400 cm/s d) Amplitude =  2 cm e)period = 0.01 s f)wave number  = 0.5π  g)angular velocity = 200π. ​

LEARN MORE ABOUT WAVE EQUATIONS HERE: https://brainly.com/question/25699025

#SPJ9

The amount of gravitational potential energy lost when a pound of water falls from the top of the falls to the bottom is 233.55 Joules.

The gravitational potential energy of a body is due to virtue of its position. A body of mass 'm' at height 'h' is given by -

P.E. = mgh

Given in the is Niagara falls which 170 feet tall. A pound of water falls from the top of the falls to the bottom of the fall. From this we can write -

Height of Niagra falls = 170 feet tall = 51.81 m

Mass of water = 1 pound = 0.46kg

Assume that the potential energy of the pound of water at 170 feet tall is (P[1]) and that at the bottom is (P[2]).

Now, at the top of falls, the potential energy of 1 pound of water = P[1] =

m x g x h = 0.46 x 9.8 x 51.81 = 233.55 J

At the bottom of the falls -

P[2] = 0

The amount of gravitational potential energy lost =  P[1]  -  P[2] =

233.55 - 0 = 233.55 joules.

Therefore, the amount of gravitational potential energy lost when a pound of water falls from the top of the falls to the bottom is 233.55 Joules.

To solve more questions on Mechanical Energy, visit the link below-

https://brainly.com/question/8664733

#SPJ1

The distance travelled by the airplane before takeoff is 1721 m.

2. The acceleration of the race car is 11.2 m/s², and Distance travelled by the car is 79.9 m.

3. The acceleration of the bullet is 1.62 * 10⁵ m/s².

The distance travelled by the airplane before takeoff is determined using the formula:

s = ut + ¹/₂at²

u = 0; a = 3.20 m/s², t = 32.8 s

s = 0 * 32.0 +  ¹/₂ * 3.2 * 32.8²

s = 1721 m

2. The acceleration of the race car is calculated as follows:

a = (v - u)/t

v = 46.1 m/s, u = 18.5 m/s, t = 2.47 s

a = (46.1 - 18.5)/2.47

a = 11.2 m/s²

Distance travelled, s = 18.5 * 2.47 + ¹/₂ * 11.2 * 2.47²

s = 79.9 m

3. The acceleration of the bullet is calculated as follows:

a = (v² - u²)/2s

where v = 0 m/s, u = 521 m/s, s = 0.840 m

a = (0² - 521²)/2 * 0.840

a = 161572.0238

a = 1.62 * 10⁵ m/s²

Learn more about acceleration and distance at: https://brainly.com/question/14344386

#SPJ1

The speed at which the driver must drive for the remaining time to complete the trip in the usual time is 61.25 miles per hour.

The total distance the driver should cover is 500 miles and this should be completed in 9 hours.

Based on the information provided, the regular speed is:

However, we know today he has covered 110 miles and he is 20 minutes late. This means, there are 390 miles to cover and the remaining time is 6.7 hours.

Based on this, let's calculate the new speed:

Learn more about speed in: https://brainly.com/question/18558072

#SPJ1

The magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt is   359N.

The amount that encapsulates the force's power is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude may be thought of as simply the "value" or "amount" of any physical quantity.

The force applied that applies torque is:

Fz = 100 N-m / .3m = 333.33 N

Find the angle:

theta = tan^-1 ( 5/2) = 68.19 degrees

Total force:

F= 333.33 / sin(68.19) = 359N

to learn more about magnitude of force go to -

https://brainly.com/question/20905151

#SPJ4

One of the light spots will have to get 330 units brighter than the other for her to be able to tell the difference.

In the case of the first bulb, she noticed the difference when the right was 0.10 % brighter than the other one.

100  * 0.10 = 10

100 + 10 = 110

If we apply the same sense in the second case, one of the spots will have to be 0.10% brighter than the other.

300 * 0.10=30

300+30 = 330

In order to tell the difference, the other spot should be at 330 units of brightness.

The unit of brightness is Lumen. It is use to calculate the total amount of brightness emitted from a source over a unit of time.

If you need to learn more about the brightness of bulb, click here

brainly.com/question/12722333?referrer=searchResults

#SPJ4

Answer:

6000 meters

Explanation:

Because 6kilometers is 6000 maters

The average velocity of Tim is 1 m/s.

Average velocity is the ratio of total displacement to total time.

The S.I unit of velocity is m/s.

To calculate the average velocity, we use the formula below.

Formula:

Where:

From the question

Given:

Substitute these values into equation 1

Hence, the average velocity of Tim is 1 m/s.

Learn more about average velocity here: https://brainly.com/question/24739297

#SPJ1

The eccentricity of Venus is = 0.0068. That is option C.

The orbital eccentricity is defined as the measurement that is used to show how an orbit deviates from the shape of a circle.

The Venus is one of the planets of the universe that is the second closest to the sun.

The Venus is one of the planets that has a small orbital eccentricity being 0.006772 which is approximately 0.0068. This means that it is closest to being circular in shape.

The planets with the largest orbital eccentricity is the planet Mercury with orbital eccentricity of 0.2056.

Learn more about Venus here:

https://brainly.com/question/28479993

#SPJ1

The friction force that is exerted on the car's rotating wheels causes an imbalanced force to be applied to the vehicle, which then accelerates. The center of the circle the car is turning is the target of both the unbalanced force and the acceleration. Your body, however, continues to move and is in motion.

An object's motion may vary if an imbalanced force is applied to it. The small car will alter speed, direction, or even halt if a heavier, faster toy car moves into its path or along its side. The small toy car is being subjected to a stronger force, which is why its motion has changed.

Learn more about force here-

https://brainly.com/question/13191643

#SPJ9

When a light source falls on an object if it is a opaque object it will form shadow.

And the light falls on the largest cardboard there will be a big shadow formed in the wall. Now when we take a second cardboard the shadow will form in accordance with that cardboard that if the cardboard is more it will form small shadow

And when we do with the same third cardboard or small cardboard the shadow will be according to the size of the cupboard now when we keep a plastic shopping bag in between the light source and the wall if the plastic bag is transparent the light will pass through the plastic bag and if the plastic bag is opaque the light will not pass through the bag and a shadow will be not be formed

Here we can conclude that if a light is passing through a pack object the light cannot pass through the object and it will format shadow but when the light is passing through a transparent object that light will pass through the object and there will be no shadow formed

Learn more about Light here https://brainly.com/question/19697218

#SPJ9

Answer:

Time to reach ground = t = 6 sec

Explanation:

Acceleration due to gravity = g = 9.8 m/s²

Initial Velocity of the Rock = Vi = 0 m/s (Because, the rock will be at rest, initially)

When a rock is dropped and takes 6 seconds to touch the ground, its maximum speed will be [tex]6^{th}[/tex] second.

The force of gravity causes a rock to accelerate when it is dropped from a cliff. On Earth, the acceleration caused by gravity is roughly 9.8 meters per second squared (m/s2). This indicates that the rock's speed increases by 9.8 m/s per second as it falls.

According to the question, it takes the rock 6 seconds to hit the ground. It takes the rock exactly this long to fall from the cliff to the ground.

One must comprehend that the rock's speed rises steadily as it falls in order to determine the moment at which it is moving at its fastest. The rock's initial velocity (Vi) is 0 m/s because it begins at rest. The acceleration brought on by gravity causes it to move faster as it drops.

The rock will reach its highest speed just before it touches the ground because its velocity is constantly rising. As a result, the rock is moving at its fastest at the moment of impact (t = 6 sec).

Thus, the maximum speed will be at T= 6 seconds.

Learn more about speed here:

https://brainly.com/question/17661499

#SPJ7

Copper sulfate is a salt that is made up of the copper ion and the sulfate ion further, the sulfate ion is the combination of the sulfur and the oxygen atom.

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

As given in the problem we have to compare copper sulfate with the elements that form copper sulfate,

The salt copper sulfate is composed of the copper ion and the sulfate ion. In addition, the sulfate ion is a mixture of sulfur and oxygen atoms.

The chemical formula for the copper sulfate is CuSO₄ which is made up of a Copper (Cu) atom, Sulphur (S)  atom, and Oxygen (O) atom.

To learn more about a chemical compound, refer to the link;

brainly.com/question/12166462

#SPJ1

The capacitor's energy becomes 0.5 J when the dielectrics have been inserted between its plates.

The quantity of energy held in the form of an electric charge in an electric device is referred to as capacitance.

Data provided

C = 10 mF = 0.01 F is the parallel-plate capacitor's capacitance.

V' = 20 V is the power supply's potential.

The material has a dielectric constant of 4.0.

First, let's determine the charge that the capacitor has stored:

[tex]C^{\prime}=\epsilon \times C[/tex]

Solving as,

[tex]\begin{aligned}&C^{\prime}=4.0 \times 0.01 \\&C^{\prime}=0.04 \mathrm{~F}\end{aligned}[/tex]

Now, the expression for the energy stored in the capacitor is,

[tex]U^{\prime}=\frac{q^2}{2 C^{\prime}}[/tex]

Hence

[tex]\begin{aligned}U^{\prime} &=\frac{0.2^2}{2 \times 0.04} \\U^{\prime} &=0.5 \mathrm{~J}\end{aligned}[/tex]

Thus, we may say that the capacitor's energy reserves are 0. 5J

Read more about capacitor energy

https://brainly.com/question/3611251

#SPJ1

Bob and Carol are both observing the moon at exactly the same time. However, bob is in Miami and carol is in Los Angeles. Bob observes the moon in the first quarter phase. Carl will also observe the moon in the first quarter phase.

The moon cycle consists of four primary and secondary phases.

The four primary phases are New Moon, First Quarter Phase , Full Moon, and the Last Quarter.

During the new moon and full moon periods, there are definite chances of solar and lunar eclipses.

The secondary phases of the moon are waxing crescent, waxing gibbous, waning gibbous, and waning crescent.

In the southern hemisphere and northern hemisphere, people observe the same phases of the moon.

As Miami and Los Angeles are in the southern hemisphere i.e. south of the equator, therefore, people living in that hemisphere will observe the moon in the same phases.  Thus Bob and Carol will also observe the moon in the first quarter phase from different cities.

If you need to learn more about moon click here:

https://brainly.com/question/18517840

#SPJ4