An ideal spring with a constant of 150 N/m is compressed 14 cm. How much energy is stored in the spring?

Answers

Answer 1
Answer:

[tex]\displaystyle U_E = 1.47 \ J[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Physics

Unit 0

Unit Conversion: 100 cm = 1 m1 N/m (Newton per meter) = 1 J (Joule)

Energy

Elastic Potential Energy Formula: [tex]\displaystyle U_E = \frac{1}{2} k \Delta x^2[/tex]

k is spring constantΔx is displacement from equilibriumExplanation:

Step 1: Define

k = 150 N/m

Δx = 14 cm

Step 2: Identify Conversions

Unit Conversion 100 cm = 1 m

Step 3: Convert

Δx = 14 cm = 0.14 m

Step 4: Find Energy

Substitute [EPE]:                    [tex]\displaystyle U_E = \frac{1}{2} (150 \ N/m)(0.14 \ m)^2[/tex]Exponents:                             [tex]\displaystyle U_E = \frac{1}{2} (150 \ N/m)(0.0196 \ m^2)[/tex]Multiply:                                 [tex]\displaystyle U_E = (75 \ N/m)(0.0196 \ m^2)[/tex]Multiply:                                 [tex]\displaystyle U_E = 1.47 \ N/m[/tex]Redefine:                               [tex]\displaystyle U_E = 1.47 \ J[/tex]

Related Questions

13) The condenser pressure is 417.4 psig for r-410A and the condenser outlet temperature is 108f. how much subcooling is there in the condenser

Answers

Answer:

12°F

Explanation:

Calculation for how much subcooling is there in the condenser

Since the CONDENSING TEMPERATURE for 417.4 psig discharge pressure is 120 degrees (120°) which means that the amount of subcooling that is there in the condenser will be calculated using this formula

Amount of Condenser subcooling= Condensing Temperature discharge pressure -Condenser outlet temperature

Let plug in the formula

Amount of Condenser subcooling=120°-108f

Amount of Condenser subcooling=12°F

Therefore the amount of subcooling that is there in the condenser will be 12°F

Please help I’m confused on this

Answers

Answer:

inversely proportional to

PLEASE HELP
If your mass is 120 Kg how many Newtons do you weigh on the moon? (gravity on moon is 1.63m/s2)

Answers

The correct answer is 195.6 N

Explanation:

Different from the mass (total of matter) the weight is affected by gravity. Due to this, the weight changes according to the location of a body in the universe as gravity is not the same in all planets or celestial bodies. Moreover, this factor is measured in Newtons and it can be calculated using this simple formula W (Weight) = m (mass) x g (force of gravity). Now, leps calculate the weigh of someone whose mass is 120 kg and it is located on the moon:

F = 120 kg x 1.63 m/s2

F= 195.6 N

The late news reports the story of a shooting in the city. Investigators think that they have recovered the weapon and they run ballistics tests on the pistol at the firing range. If a 0.050-kg bullet were fired from the handgun with a speed of 400 m/s and it traveled 0.080 m into the target before coming to rest, what force did the bullet exert on the target?

Answers

Answer:

50000 N

Explanation:

From the question given above, the following data were obtained:

Mass (m) of bullet = 0.050 kg

velocity (v) = 400 m/s

Distance (s) = 0.080 m

Force (F) =?

Next, we shall determine the acceleration of the bullet. This can be obtained as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 400 m/s

Distance (s) = 0.080 m

Acceleration (a) =?

v² = u² + 2as

400² = 0 + (2 × a × 0.08)

160000 = 0 + 0.16a

160000 = 0.16a

Divide both side by 0.16

a = 160000 / 0.16

a = 1×10⁶ m/s²

Finally, we shall determine the force exerted by the bullet on the target. This can be obtained as follow:

Mass (m) of bullet = 0.050 kg

Acceleration (a) of bullet = 1×10⁶ m/s²

Force (F) =?

F = ma

F = 0.050 × 1×10⁶

F = 50000 N

Thus, the bullet exerted a force of 50000 N on the target.

What acceleration will you give a 22.4 kg box if you push it with a force of 83.1N

Answers

Answer:

mass =22.4kg

force=83.1N

a=?

f=ma

a=f/m

a=83.1/22.4

a=3.70m/s^2

A cart on a horizontal, linear track has a fan attached to it. The cart is positioned at one end of the track, and the fan is turned on. Starting from rest, the cart takes 4.22 s to travel a distance of 1.44 m. The mass of the cart plus fan is 350 g. Assume that the cart travels with constant acceleration.

Required:
a. What is the net force exerted on the cart-fan combination?
b. Mass is added to the cart until the total mass of the cart-fan combination is 656 g, and the experiment is repeated. How long does it take for the cart, starting from rest, to travel 1.63 m now?

Answers

Answer:

a

  [tex]F = 0.0566 \ N[/tex]  

b

   [tex]t = 6.147 \ s[/tex]

Explanation:

From the question we are told that

     The distance travel in  4.22 s is  [tex]s = 1.44 \ m[/tex]

     The mass of the cart plus the fan is  [tex]m = 350 \ g = 0.35 \ kg[/tex]

Generally from kinematic equation we have that

        [tex]s = ut + \frac{1}{2} * a * t^2[/tex]

Here  u is the initial  velocity with value  [tex]u = 0 \ m/s[/tex]

So  

         [tex]1.44= 0 * t + \frac{1}{2} * a * 4.22^2[/tex]      

=>      [tex]a = 0.1617 \ m/s^2[/tex]

Generally the net force is  

         [tex]F = m * a[/tex]

=>      [tex]F = 0.35 * 0.1617[/tex]  

=>      [tex]F = 0.0566 \ N[/tex]  

Gnerally the new mass of the cart plus the fan is  [tex]M = 656 \ g = 0.656 \ kg[/tex]

    The distance considered is [tex]s_1 = 1.63 \ m[/tex]

     Generally the new acceleration of the cart is mathematically represented as

        [tex]F = M * a_1[/tex]

=>      [tex]a_1 = \frac{F}{M}[/tex]

=>      [tex]a_1 = \frac{0.0566}{0.656}[/tex]

=>      [tex]a_1 = 0.08628 \ m/s^2[/tex]

Gnerally from kinematic equation we have

          [tex]s = ut + \frac{1}{2} * a_1 * t ^2[/tex]

Here u  is the initial velocity and the value is zero because it started from rest  

=>       [tex]1.63 = 0 * t + \frac{1}{2} * 0.08628* t ^2[/tex]

=>        [tex]t = 6.147 \ s[/tex]

A 5-kg block slides down a plane inclined at 30 0 to the horizontal. Find
a. The acceleration of the block if the plane is frictionless.
b. The acceleration if the coefficient of kinetic friction is 3 2 .

Answers

Answer:

a) 4.9m/s²

b) 2.18m/s²

Explanation:

a) According to Newton's second law of motion

\sum Fx = ma

Fm-Ff = ma

Fm is the moving force = Wsin theta

Ff is the frictional force = 0N (frictionless plane)

m is the mass

a is the acceleration

Substituting into the formula

Fm -Ff = ma.

Wsintheta = ma

mgsintheta = ma

gsintheta = a

a = 9.8sin30°

a = 9.8(0.5)

a = 4.9m/s²

Hence the acceleration of the block if the plane is frictionless is 4.9m/s²

b) Let the coefficient if friction given be 0.32

From the formula

Fm-Ff = ma

mgsintheta - nmgcostheta = ma

gsintheta - ngcostheta = a

9.8(sin30)-0.32(9.8)cos30 = a

4.9-2.72 = a

a = 2.18m/s²

Hence the acceleration if the coefficient of kinetic friction is 0.32 is 2.18m/s²

O D. Both objects won't move at all. They will just stay where they were released.
3. A 46-gram golf ball and a 400-gram soccer ball were released at the same time from the top of a tall tower. What is the best explanation of this picture?
I
O A Heavier objects always fall faster than lighter objects.
O B. Lighter objects always fall faster than heavier objects
O C. The soccer ball was affected by air resistance less than the golf ball
O D. The soccer ball was affected by air resistance more than the golf ball.

Answers

Answer:

Do not see a picture or graph but suspect it would show the golf ball falling faster and striking the ground slightly before the soccer ball.

Probably D:  Soccer ball was affected by air resistance more than the golf ball.

Explanation:

Even though heavier, friction loss of the greater surface area soccer ball will counter pull of gravity more than the compact golf ball.

In a vacuum, (no friction) both objects fall at the same rate regardless of mass.

a bird of mass 2350g is flying at a height of 20.0m above the ground with a speed of 10m/s2 calculate it's potential energy​

Answers

Explanation:

p.e =mgh

given: m=2350g=2.35kg h=20 g=9.8m/s

p.e=mgh

=2.35kg×20.0m×9.8

=460.6j

I am not sure

ASAP PLEASE HELP!
What is nuclear potential energy?

Answers

Answer:Nuclear potential energy is the potential energy of the particles inside an atomic nucleus

it is potential energy that is neaucuoaer

why are curved roads banked​

Answers

Answer:

So that vehicles do not topple or skid off the road.

Explanation:

As a vehicle is negotiating a curve, two equal and opposite forces act on the vehicle; centripetal force which keeps it moving and centrifugal force which tends to throw it out of the path.

In order to avoid skidding off the road curved roads are banked. Banking a curved surface provides the centripetal force that points towards the center of the road hence the vehicle or car does not skid off or topple.

Two railway tracks are parallel to west east direction. Along one track, train A moves with a speed of 45 m/s from west to east, while along the second track, train B moves with a speed of 60 m/s from east to west . calculate speed of Bw.r.t. A​

Answers

Answer:

(i) Relative velocity of B w.r.t A= Sum of speeds of trains

=54+90

=144kmph

(ii)Relative velocity of B w.r.t Ground(G)=v

B/G

=−90kmph

v

G

=0

Relative velocity of ground(G) w.r.t B =v

G/B

=v

G

−v

B/G

v

G/B

=0−(−90)

v

G/B

=90kmph

Describe how the force between two charged objects changes as the objects move closer to each other​

Answers

Answer:

the electrical force between two charged objects is inversely related to the distance of separation between the two objects. Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects. And decreasing the separation distance between objects increases the force of attraction or repulsion between the objects. Electrical forces are extremely sensitive to distance. 

A 260-kg glider is being pulled by a 1,940-kg jet along a horizontal runway with an acceleration of a= 2.20 m/s^2 to the right. Find the following:

a. the magnitude of the thrust provided by the jet's engines.
b. the magnitude of the tension in the cable connecting the jet and glider

Answers

Answer:

a) The magnitude of the thrust provided by the jet's engines is 4840 newtons.

b) The magnitude of the tension in the cable connecting the jet and glider is 572 newtons.

Explanation:

a) By Newton's laws we construct the following equations of equilibrium. Please notice that both the glider and the jet experiments has the same acceleration:

Jet

[tex]\Sigma F = F - T = m_{J}\cdot a[/tex] (1)

Glider

[tex]\Sigma F = T = m_{G}\cdot a[/tex] (2)

Where:

[tex]F[/tex] - Thrust of jet engines, measured in newtons.

[tex]T[/tex] - Tension in the cable connecting the jet and glider, measured in newtons.

[tex]m_{G}[/tex], [tex]m_{J}[/tex] - Masses of the glider and the jet, measured in kilograms.

[tex]a[/tex] - Acceleration of the glider-jet system, measured in meters per square second.

If we know that [tex]m_{G} = 260\,kg[/tex], [tex]m_{J} = 1,940\,kg[/tex] and [tex]a = 2.20\,\frac{m}{s^{2}}[/tex], then the solution of this system of equations:

By (2):

[tex]T = (260\,kg)\cdot \left(2.20\,\frac{m}{s^{2}} \right)[/tex]

[tex]T = 572\,N[/tex]

By (1):

[tex]F = T+m_{J}\cdot a[/tex]

[tex]F = 572\,N+(1,940\,kg)\cdot \left(2.20\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 4840\,N[/tex]

The magnitude of the thrust provided by the jet's engines is 4840 newtons.

b) The magnitude of the tension in the cable connecting the jet and glider is 572 newtons.

20 POINTS

An object released from rest at time t = 0 slides down a frictionless
incline a distance of 2 m during the time interval from t=0 s to t = 1 s.
The distance traveled by the object during the time interval from t = 2s
to t = 3s is: (A) 15 m (B) 10 m (C) 5 m (D) 2 m (E) 1m

Answers

Answer:

10m

Explanation:

let's take the acceleration as a constant throughout the complete motion...

therefore first let's find the acceleration

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ 2 = \frac{1}{2} a {1}^{2} \\ a = 4m {s}^{ - 2} [/tex]

then we have to find v1

apply V = u + at

v = 4×1

= 4ms^-1

lets find the distance travel by the object DURING THE TIME INTERVAL 1-2

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = 4 \times 1 + \frac{1}{2} \times 4 \times {1}^{2} \\ s= 6m [/tex]

then let's find the V2

[tex] {v}^{2} = {u}^{2} + 2as \\ {v}^{2} = {4 }^{2} + 2 \times 4 \times 6 \\ {v}^{2} = 64 \\ v = \sqrt{64} = 8m {s}^{ - 1} [/tex]

then let's find the distance travel by the object during time interval 2s to 3s

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = 8 \times 1 + \frac{1}{2} \times 4 \times {1}^{2} \\ s = 10m [/tex]

The distance traveled by the object during the time interval from t = 2 seconds to t = 3 seconds would be 10 meters, therefore the correct answer is option B.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem, an object released from rest at time t = 0 slides down a frictionless incline a distance of 2 m during the time interval from t=0 seconds to t = 1 seconds.

2 = ut + 1/2*a*t²

2 = 0 + 0.5×a×1²

a = 2 / 0.5

a = 4 meters / second²

Now to find the velocity after the 2 seconds,

v = u + at

v = 0 + 4×2

v = 8 m/s

Now by using the second equation of motion,

S = ut + 1/2×a×t²

S = 8×1 + 0.5×4×1²

S = 8 + 2

S = 10 meters

Thus, The distance traveled by the object during the time interval from t = 2 seconds to t = 3 seconds would be 10 meters, therefore the correct answer is option B.

To learn more about equations of motion here,

brainly.com/question/5955789

#SPJ5

PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP

The first person with the right answer gets to be a brainlest

In the attachment there is a density column where there is colour

Question: tell me why is the red at the bottom of the density column if it is the least dense

Answers

Answer: It is the color of the container

Explanation:

The red at the bottom is the color of the bottom of the container. It is not part of the experiment and is not liquid.

The red liquid that is part of the experiment does indeed have the lowest density of the liquids which is why it is floating at the top of al the liquids with the only thing floating on top of it being the blue cube which has a lower density than it.

Answer: That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.

POR FAVOR AYUDENME A COMLETARLO

Answers

Answer:

English please?

Explanation:

What is 6 Fahrenheit in celcious

Answers

-14.444 degrees celsius

Answer:

6 Fahrenheit, converted over to Celsius, would be -14.444444

Is Florida an example of an isthmus or a peninsula? Both Peninsula Neither Isthmus

Answers

Answer:

Peninsula

Explanation:

Just did the Ed puzzle and got it right

Was the cannonball able to hit its target of 50 meters when the initial velocity was 20 m/s? Why?/Why Not?

(was not able, but I don't know the reason)

Answers

Answer:

It will not hit.

Explanation:

In this problem, we need to tell that was the cannonball able to hit its target of 50 meters when the initial velocity was 20 m/s.

When it will hit the target, final velocity, v = 0

Using third equation of motion as follows :

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

Here, a =-g

[tex]s=\dfrac{u^2}{2g}\\\\s=\dfrac{(20)^2}{2\times 9.8}\\\\=20.40\ m[/tex]

The target is in a straight line 50m away on the x-axis. As 50m is far from 20.40 m and that’s why it won’t hit.

A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.60 m/s. How much energy was lost to air friction during this jump?
kJ

process and answer please

Answers

Answer:

Efriction = 768.23 [kJ]

Explanation:

In order to solve this problem we must use the principle of energy conservation. Where it tells us that the energy of a system plus the work applied or performed by that system, will be equal to the energy in the final state. We have two states the initial at the time of the balloon jump and the final state when the parachutist lands.

We must identify the types of energy in each state, in the initial state there is only potential energy, since the reference level is in the ground, at the reference point the potential energy is zero. At the time of landing the parachutist will only have potential energy, since it reaches the reference level.

The friction force acts in the opposite direction to the movement, therefore it will have a negative sign.

[tex]E_{pot}-E_{friction}=E_{kin}[/tex]

where:

[tex]E_{pot}=m*g*h\\E_{kin}=\frac{1}{2}*m*v^{2}[/tex]

m = mass = 56 [kg]

h = elevation = 1400 [m]

v = velocity = 5.6 [m/s]

[tex](56*9.81*1400)-E_{friction}=\frac{1}{2}*56*(5.6)^{2}\\769104 -E_{friction}= 878.08 \\E_{friction}=769104-878.08\\E_{friction}=768226[J] = 768.23 [kJ][/tex]

If the Earth were flat, then the shadows of two towers at two different places on the Earth would:__________.
A. be different lengths with the one further South being longer
B. be different lengths with the one further North being longer
C. be different lengths with the one further East being longer
D. be the exact same length

Answers


I believe answer
D.
I’m not exactly sure go ahead and let me know if I can be of any assistance thank u happy new year

A 15.5 kg box is pushed across the lunch table. The acceleration of the box is 24.2 m/S. What is the net force applied to the box? ​

Answers

Answer:

375.1 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 15.5 × 24.2

We have the final answer as

375.1 N

Hope this helps you

If a nucleus was as big as a nonpareil, an atom would be ____

Answers

Answer:

small marble  

Explanation:

A nonpareil are confectionery tiny ball items that are made up of starch and sugar. It is very small of the size of sugar crystal or sand grains. They were the miniature version of the comfits. They are generally opaque white but bow available in all colors.

In the context, if the nucleus is compared to the size of a nonpareil then its atom would be of the size of small size marble. An atom is bigger in size than that of nucleus as the nucleus is located inside the atoms.

Determination of the energy imparted to matter by radiation is the subject of ______. A. photometry B. magnification C. dosimetry D. optometry

Answers

Answer:

dosimetry

Explanation:

dosimetry is the determination of energy imparted to matter by radiation

PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP

The first person with the right answer gets to be a brainlest

In the attachment there is a density column where there is colour

Question: tell me why is the red at the bottom of the density column if it is the least dense

Answers

Answer:

That is not meant to be red, it is the bottom of the beaker

That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.

What is the maximum speed that a 2200 kg car can go around a level circular track with a radius of 30.0 m without slipping if the coefficient of static friction between the tires and the road is 0.900?

Answers

Answer:

The maximum speed of turn on the given circular track is 16.27 m/s.

Explanation:

Given;

mass of the car, m = 2200 kg

radius of the track, r= 30 m

coefficient of static friction between the tires and the road, μ = 0.9

The net vertical force on the car = N = mg

The net horizontal force on the car = Centripetal force

The coefficient of static friction is given as;

[tex]\mu = \frac{F_c}{N} \\\\[/tex]

[tex]F_c = \mu N\\\\\frac{mv^2}{r} = \mu mg\\\\ \frac{v^2}{r}= \mu g\\\\v^2 = \mu gr\\\\v = \sqrt{\mu gr}[/tex]

where;

v is the maximum speed of turn

[tex]v = \sqrt{\mu gr} \\\\v = \sqrt{0.9 \times 9.8 \times 30 } \\\\v = 16.27 \ m/s[/tex]

Therefore, the maximum speed of turn on the given circular track is 16.27 m/s.

At what angle should the roadway on a curve with a 50m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is frictionless?

Answers

Answer:

The road bank angle is 16.38⁰.

Explanation:

radius of curvature of the road, r = 50 m

allowable speed of car on the road, v = 12 m/s

The bank angle is calculated as;

[tex]\theta = tan^{-1} (\frac{v^2}{gr} )[/tex]

where;

θ is the road bank angle

g is acceleration due to gravity = 9.8 m/s²

[tex]\theta = tan^{-1} (\frac{v^2}{gr} )\\\\\theta = tan^{-1} (\frac{12^2}{9.8 \times 50} )\\\\\theta = tan^{-1} ( 0.2939)\\\\\theta = 16.38 ^0[/tex]

Therefore, the road bank angle is 16.38⁰.

Please halp
Why does a suspended magnet always rest in the North-South direction?

Answers

Explanation:

because magnet attract opposite sides. like north and south.

Answer:

Its because the magnet has both north and south pole, so when suspended it turns its south pole towards southern hemisphere and the north pole towards northern hemisphere

Hope it helped u,

pls mark as the brainliest

^_^

The Earth has a diameter of 12,800 km and a globe has a diameter of 35.5 cm. What is the scale of the globe

Answers

Answer:

1:36,056,338

Explanation:

First thing we do is convert the diameter of the earth from kilometers into centimeters. Thus, we have

12800 km = 12800 * 100000 cm

12800 km = 1280000000 cm

Then we have diameter of the globe to be 35.5 cm.

To get the scale, what we do is divide the diameter of the earth by that of the globe, and as such we have

1280000000 / 35.5 =

36056338.

Therefore, the scale of the globe is 1:36,056,338

For every 1 cm on the globe, it is 36,056,338 cm or 360.6 km on earth

The scale of this globe is equal to 1 : 36,056,338.

Given the following data:

Earth diameter = 12,800 kmGlobe diameter = 35.5 cm

In Science, a scale can be defined as a ratio of the distance on a map to the actual (corresponding) distance on planet Earth.

A globe refers to a scale model of planet Earth that accurately depicts various geographic information such as distance, circumference, area, etc.

To determine the scale of this globe:

First of all, we would convert the value of Earth diameter in kilometers to centimeters as follow:

Conversion:

1 kilometer = 100,000 centimeter

12,800 kilometer = [tex]12800 \times 10^5 = 128 \times 10^7\;centimeters[/tex]

Now, we can calculate the scale of the globe by using this formula:

[tex]Distance = \frac{Earth\;diameter}{Globe\;diameter}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Distance = \frac{128 \times 10^7}{35.5}[/tex]

Distance = 36,056,338.0336,056,338 centimeters.

Scale = 1 : 36,056,338.

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