A 2000-kg ore car rolls 50 meters down a smooth 10o incline. There is a horizontal spring at the end of the incline designed to stop the car in case of break failure. What is the spring constant of the spring if it would compress by 1 m to stop the ore car?

Answers

Answer 1

The spring constant of the spring if it would compress by 1 m to stop the ore car is 340,350.4 N/m.

Potential energy of the car

The potential energy of the car is calculated as follows;

P.E = mgh

where;

h is the vertical height of the incline

sin (10) = h/L

h = L x sin(10)

P.E = mgLsin(10)

P.E = 2000 x 9.8 x 50 x sin(10)

P.E = 170,175.21

Conservation of energy

The potential energy of the car at the top of the incline will be converted  to the elastic potential energy spring at the bottom of the incline.

P.E = U = ¹/₂kx²

k = (2U)/x²

k = (2 x 170,175.2)/(1)²

k = 340,350.4 N/m

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Related Questions

What can be described as a technology that uses high-frequency sound waves to create images?

Answers

Answer:

Ultrasound imaging (sonography) uses high-frequency sound waves to view inside the body.

Explanation:

Which resistors in the circuit must have the same amount of charge passing through each second?

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Answer:

Resistors C' and D'

Explanation:

what is matter made of​

Answers

Answer:

Atoms

Explanation:

Answer:

All matter is made up of atoms. Atoms come together to form molecules, which are the building blocks for all types of matter.

Explanation:

True or false: Scientific models are always built to scale, and are fully functional representations of the product they are testing.

Answers

Answer:

False

Explanation:

Scientific models are not always built to scale and may not be fully accurate

L 6.3.2 Test (CST): Applications of Waves Question 5 of 10 Which event provides evidence that matter can reflect waves? O A. An audience member covers her ears during a loud concert. B. A laser beam bounces off a series of mirrors. C. A performer makes shadow puppets on a wall. D. The light from a fireworks show is seen miles away. ​

Answers

An audience member covers her ears during a loud concert shows evidence that matter can reflect waves.

Which event provides evidence that matter can reflect waves?

An audience member covers her ears during a loud concert is an event that provides evidence that matter can reflect waves because a sound is heard again and again due to the reflection of waves. This repetition of sound is due to the property of reflection of sound waves.

So we can conclude that an audience member covers her ears during a loud concert shows evidence that matter can reflect waves.

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Answer:

A laser beam bounces off a series of mirrors

Explanation:

Use the information from the graph to answer the question.

A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 12, velocity in meters per second on the y axis, numbered 0 to 45. A line starts at (0, 40) and ends at (12, 10).

What is the acceleration of the object?

Answers

Answer:-2.5m/s^2

Explanation:

facts

The acceleration of the object would be -2.5 m/s², the negative sign represents the deaccelerating motion of the object.

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

acceleration =change in velocity/change in time

The slope of the velocity time graph represents the acceleration of the object.

The slope of the graph = change in the y coordinates (velocity)/ change in the x coordinate (time)

The slope of the graph =( 10-40)/( 12-0)

                                      = -2.5 m/s²

Thus, the acceleration of the object comes out to be  -2.5 m/s².

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- A straight wire, 0.20 m long, moves at a constant speed of 7.0 m/s
perpendicular to a magnetic field of strength 8.0×10-2 T.

A. What EMF is induced in the wire?
B. What is the direction of the induced current?
C. Determine the polarity of point A and point L
D. The wire is part of a circuit that has a resistance of 0.50 Ω. What is the
current through the wire?

Answers

(a) The emf induced in the wire is 0.112 V.

(b) The direction of the current will into the page.

(c) The polarity of A will be positive and L will be negative.

(d)  The current flowing through the wire is 0.224 A.

EMF induced in the wire

The emf induced in the wire is calculated as follows;

EMF = BLv

EMF = (8 x 10⁻²) x 0.2 x 7

EMF = 0.112 V

Direction of the current

Since, the magnetic field is out of the page, the current will follow counter clockwise and will point into the page.

Polarity of point A and point L

The current is flowing counter currently, hence the polarity of A will be positive and L will be negative.

Current through the wire

V = IR

I = V/R

I = (0.112)/0.5

I = 0.224 A

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A series circuit consists of a switch, a 6-v battery, a lightbulb, and some copper wire. Whenever the circuit is turned on, each of these elements has the same

Answers

Whenever the circuit is turned on, each of these elements has the same current through it. The correct option is A.


What is current?

The current is stream of charges flowing through circuit from the positive terminal to the negative terminal of the voltage source.

A series circuit consists of a switch, a 6-v battery, a lightbulb, and some copper wire. The circuit has the current I flowing in it.  Light bulb will act as resistor. When the circuit is on, current will flow through the entire circuit and its elements starting from the positive terminal of battery to the negative terminal of battery.

Thus, whenever the circuit is turned on, each of these elements has the same current through it. The correct option is A.

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Gravitation always does negative work. question 48 options: true false

Answers

The statement indicating that 'Gravitation always does negative work' is FALSE.

What is Gravitation?

Gravitation is a fundamental physical force that makes objects attract each other in the Universe.

This force (Gravitation) is required to maintain both constant positions and movement of objects.

In conclusion, the statement indicating that 'Gravitation always does negative work' is FALSE.

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Answer:false

Explanation:

13. in batesian mimicry, a palatable species gains protection by mimicking an unpalatable one. imagine that individuals of a palatable, brightly colored fly species are blown to three remote islands. the first island has no predators of that species; the second has predators but no similarly colored, unpalatable species; and the third has both predators and a similarly colored, unpalatable species. in a short essay (100-150 words), predict what might happen to the coloration of the palatable species on each island through evolutionry time if coloration is a genetically controlled trait. explain your predictions.

Answers

Batesian mimicry is an adaptive feature associated with the coloration of a given species in a given environment.

What is Batesian mimicry?

Batesian mimicry can be defined as a type of adaptive feature associated with the coloration of a particular species and/or population.

On the first island, the color of the population won't change because of the absence of predators.

On the second island, the color of the population will change because of the presence of predators that can be alerted by the color.

On the third island, the color of the population won't change because of the presence of a species with a similar color.

In conclusion, Batesian mimicry is an adaptive feature associated with the coloration of a given species in a given environment.

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What is the ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2

Answers

The ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2 will be the ratio of the angular velocity.

What are comets ?

Comets are frozen leftovers from the formation of the solar system composed of dust, rock, and ices.

It should be noted that the tangential speed can alternatively be represented as;

[tex]\rm v_t= r\frac{d\theta}{dt}[/tex]

where,

θ  is the comet's position angle with respect to some given direction.

The amount dθ/dt is known as angular speed

The ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2 IS;

[tex]\rm \frac{v_1}{v_2} = \frac{\frac{d \theta_1}{dt_1} }{\frac{d \theta_2}{dt_2} } \\\\\ \frac{v_1}{v_2} =\frac{\omega_1}{\omega_2}[/tex]

Hence,the ratio v1/v2 of the speed of the comet at position 1 to the speed at position 2 will be the ratio of the angular velocity.

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If it takes you 10 seconds to move a chair 5 meters across the floor, using a force of 2 Newtons, how much power did you put out?

20 joules per second

100 joules per second

O 1 joules per second

4 joules per second

Answers

Answer:

power=work done÷time taken

2×5=10

10÷10=1

ans 1J per second

5.
A device known as the nMRI, or nuclear magnetic resonance imager, often called an MRI for simplicity, is used for what purpose?
A to generate electricity
B to apply lasers to precision measurements of the nucleus
C to create an image of objects inside other objects
D to measure geologic pressures deep underground in volcanically active regions

Answers

Answer:

C. to apply lasers to precision measurements of the nucleus

Explanation:

Magnetic resonance imaging (MRI) is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used to obtain microscopic chemical and physical information about molecules.

Why is it making me do this

Answers

Answer:

I don't know.

Explanation:

I have no idea what you are referring to.

A spinning satellite begins to fold two solar panels inward as shown. How does satellite's angular velocity change as the panels fold in completely?

A. It remains constant.
B. It increases.
C. It drops to zero.
D. It decreases.

Answers

B. It increases. but I’m not fully sure

Your'e at your new high school.....You go into the bathroom and there's students smoking in there. I mean like a real smoke fest. Some of them you know, most you don't as your'e the new freshman. Suddenly, the school security barges in to take everyone who's in the bathroom to the principal's office. You on the other hand was just trying to use the bathroom and never got to lol! You and everyone in the bathroom end up in the office about to get in big trouble. What do you do?

Answers

Answer:

Just get searched then go back to class

Explanation: similar situation

Which type of error is a false positive

Answers

Answer: Type I Error

what do you mean by potential energy of an object is 60J​

Answers

Answer:

60Joules

Explanation:

Potential energy is the amount of 'work done' on an object, by changing it's position.

The formula is gravitational Potential energy= mass (kg) × gravity (Newtons) × height (m)

State a hypothesis about what might happen as you proceed through the lab.

Answers

A hypothesis about what might happen in the lab might be 'oxygen will react with hydrogen to form water molecules'.

What is a hypothesis?

A hypothesis is a given explanation of a particular scientific question emerged by observing the real world.

Hypotheses are explanations that must be tested (either confirmed or rejected) by using the scientific method.

In conclusion, a hypothesis about what might happen in the lab might be 'oxygen will react with hydrogen to form water molecules'.

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Two bulbs connected in
parallel shine more brightly than when they
are connected to the same voltage source in
series. explain why this doesn't violate the law
of conservation of energy.

Answers

Explanation:

Explain why this doesn't violate the law of conservation of energy.

The bulbs shine less brightly in a parallel because the charges

are flowing to more than one place, distributing the charge

evenly between the two bulbs. Less charge is going to each bulb

since it is going two places, so they will appear less bright

A 740 kg car traveling 19 m/s comes to a complete stop in 2.0 s. What is the force exerted on the car during this stop?

Answers

Answer:

Force exerted on the car is 7030 N.

Explanation:

It is given that,

Mass of the car, m = 740 kg

Initial speed of the car, u = 19 m/s

Final speed of the car, v = 0

Time taken, t = 2 s

Let F is the force exerted on the car during this stop. We know that it is equal to the product of force and acceleration. Mathematically, it is given as :

F=m\times \dfrac{v-u}{t}F=m×tv−u

F=740\times \dfrac{0-19}{2}F=740×20−19

F = -7030 N

So, the force exerted on the car during this stop is 7030 N. Hence, this is the required solution.

A bowling ball with a mass of 8 kg is moving at a speed of 5 m/s. What is its
kinetic energy?
OA. 200 J
OB. 100 J
OC. 40 J
OD. 20 J

Answers

The kinetic energy of a bowling ball moving at speed is 100 J. The correct option is B.

What is kinetic energy?

The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as

K.E = 1/2 mv²

Given is the Mass of a bowling ball, m =8 kg and Velocity of a baseball, v = 5 m/s

substitute the values, we have

K.E = 1/2 x 8 x (5)²

K.E = 100 J

Hence, the kinetic energy of the bowling ball is 100 J.

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Which two elements have the same number of dots around their chemical symbols in their electron dot disgrams?

Answers

The two elements that have the same number of dots around their chemical symbols in their electron dot are Germanium and Silicon.

Dot diagram of elements

The valence electron of an atom can be represented by a lewis dot diagram.

Germanium and silicon belonging to group 14 of the periodic table has 4 dots around their chemical symbols in their electron dot.

Thus, the two elements that have the same number of dots around their chemical symbols in their electron dot are Germanium and Silicon.

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A 2.0-ohm resistor and a 4.0-ohm resistor are connected in series with a 12-volt battery. If the current through the 2.0-ohm resistor is 2.0 amperes, the current through the 4.0-ohm resistor is

Answers

Answer:

  2.0 A

Explanation:

Current through series-connected components is the same.

__

If the components are connected in series, and the current through one of them is 2.0A, then the current through the other is also 2.0A.

The current through the 4.0 Ω resistor is 2.0 A.

Large rock rest on ground weight of rock is 8000n write down the size of contact force from the ground

Answers

The size of contact force from the ground is determined as 8000 N.

Size of contact force

According to Newton's third law of motion, action and reaction are equal and opposite.

The size of contact force from the ground is equal to the weight of the rock and it is calculated as follows;

Fd = Fn

Fd = 8000 N

Thus, the size of contact force from the ground is determined as 8000 N.

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Does the amount of fuel depend on how fast water heats?

Answers

Answer:

yes

Explanation:

because when the water is heating up you use more fuel than you do when it is cold

1. A person of mass 55 kg is in a bumper car that has a mass of 75 kg. They are together at a velocity of 8 m/s.
a. what's the total momentum of the system
b. what is the momentum of the bumper car after the collision? did it change directions? how do you know?​

Answers

The momentum of the bumper car after the collision is 1,040 kgm/s.

Momentum of bumper

The change in momentum of the bumper is calculated as follows;

P = v(m1 + m2)

P = 8(55 + 75)

P = 1,040 kgm/s

The momentum of the bumper car after the collision is 1,040 kgm/s.

The direction is still the same.

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These waves are needed for green plants to grow.
-microwaves
-X-rays
-infrared
-ultraviolet
-radio
-visible
-gamma rays

Answers

Answer:

visible waves are needed for green plants to grow.

Explanation:

During photosynthesis, chlorophyll absorbs energy from blue- and red-light waves, and reflects green-light waves, making the plant appear green.

Which of these is true about analog signals?

1. They can capture the entire sound wave when a song is recorded on a vinyl record, resulting in a Fuller and more accurate representation of the original song.
2. A vinyl record (analog) can hold more information than a CD (digital)
3. The sound quality does not degrade when copying a vinyl record (analog) like it does for CD (digital)

PLEASE HELP LOL, I NEED TO SUBMIT THIS BEFOFE MY SCHOOL YEAR ENDS -_-

Answers

The statement true about the analog signal is they can capture the entire sound wave when a song is recorded on a vinyl record, resulting in a Fuller and more accurate representation of the original song.

What are analog signals?

The analog signals are discrete in nature.

Sound can be recorded, stored and played by the use of either digital or analog techniques.

Vinyl records produces a continuous sound wave vs CDs. So, analog is more accurate,

Thus, correct option is 1.

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0.2 kg coffee cup is sitting on desk. acceleration due to gravity is 9.8m/s^2 what is the force downward exerted

Answers

[tex]~~~~~~~F = mg\\\\\implies F = 0.2 \times 9.8\\\\\implies F = 1.96~N\\\\\text{The downward force is 1.96 N.}[/tex]

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