The potential energy U as a function of the position x of an object is given by U (x) = - 400/x, where U is in joules and x is in meters. The object is released from rest at position x = 30 m and is free to move along the x-axis. When the object has moved a distance of 10 m from its initial position, the magnitude of the force associated with this potential energy function is

Answers

Answer 1

Hi there!

We know that:

F = -dU/dx, so:

U = -400/x

dU/dx = 400/x² (Take the derivative)

F = -dU/dx = -400/x²

Finding the force at 10m away from the starting point (30m), means a position of 40m. So:

F = -400/(40²) = -0.25 N


Related Questions

Where does the energy of a breaking wave originate?

Answers

Answer:

Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest.

Explanation:

Please help as quick as possible

Answers

Answer:

Explanation:

Left to right

40 knots

5 knots

   calm

50 knots

15 knots

Help me pls I need to turn this in quick!!!!

Answers

Answer:

C. When the waves overlap, they will cancel eanch other out and disappear

Explanation:

hope its help heart brainliest thnks

A skydiver dives from an airplane. The amount of air resistance she is met with is
measured at each second following her jump.

Answers

The terminal velocity of the skydiver is when the weight of the skydiver equals its air resistance therefore, the terminal velocity of the skydiver would occur at the 4th second. Therefore, option (D) is correct.

What is terminal velocity?

Terminal velocity can be described as the maximum velocity acquire by an object as it falls through a fluid. It happens when the sum of the drag force and the buoyancy is equal to the downward gravity acting.

Since the net force on the object is equal to zero, the object has zero acceleration. The object would attain the terminal velocity and start to move with a steady velocity.

An object is moving with terminal velocity if its speed is constant because of the restraining force exerted by the air or fluid through which it is moving.

At the 4th second, the weight of the skydiver is 500 N and the air resistance is equal to 500N. Therefore, the air resistance will be equal to the skydiver's weight. At this point, the forces will be balanced and the terminal speed will be attained.

Learn more about terminal velocity, here:

https://brainly.com/question/2654450

#SPJ2

A parkour runner is running on top of a building when he comes to the edge; the next building is 5
meters down and 8 meters over. How fast does he need to be running to make the jump?

Answers

Answer:

Explanation:

If we make a rather silly assumption that the runner does not leap upward somewhat as he leaves the edge of the first building, his initial vertical velocity is zero.

The time needed to drop 5 meters from vertical rest is

t = √(2s/g) = √(2(5)/9.8) = 1.01 s

so he needs a horizontal speed of at least

v = d/t = 8 / 1.01 = 7.91959...

v = 7.9 m/s. Better make it 8 m/s to be sure he clears the edge and lands on the roof.

Given the vectors A (-2, 3) and B(4,5) what is the sum of A +B?

Answers

yo ur doing physics too can u help me


A toy car is released from rest at the top of a ramp. The car
speeds up as it moves down the ramp. When it reaches the
bottom of the ramp, the toy car rolls across the floor and
eventually stops.
Which two statements identify evidence that energy was conserved?
A. As the car rolls down the ramp, it speeds up because gravitational
potential energy is transformed into kinetic energy.
B. As the car rolls down the ramp, it speeds up because thermal
energy due to friction is transformed into kinetic energy.
m C. As the car rolls across the floor, it stops because its kinetic
energy is transformed into gravitational potential energy,
1 D. As the car rolls across the floor, it stops because its kinetic energy
is transformed into thermal energy due to friction

Answers

Answer:

A and DDD

Explanation:

The two statements identify evidence that energy was conserved are, as the car rolls down the ramp, it speeds up because gravitational

potential energy is transformed into kinetic energy and as the car rolls across the floor, it stops because its kinetic energy is transformed into thermal energy due to friction, therefore the correct answer is option C.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

As given in the problem statement a  toy car is released from rest at the top of a ramp. The car speeds up as it moves down the ramp. When it reaches the bottom of the ramp, the toy car rolls across the floor and

eventually stops.

Thus, it speeds up because gravitational potential energy is transformed into kinetic energy and as the car rolls across the floor, it stops because its kinetic energy is transformed into thermal energy due to friction, therefore the correct answer is option C.

To learn more about mechanical energy here, refer to the link ;

brainly.com/question/12319302

#SPJ5

Someone says, “The sun seems brighter because it is bigger than other stars.” What would you say?

Answers

Answer:The sun is not a particularly large star. It appears brighter because it is only 93 to 95 million miles away or about 8 light minutes. Whereas the next closest star is 4.5 light years away.

Explanation: does this need an explanation? no, exactly.

An elevator cable winds on a drum of radius 771 cm that is connected to a motor.
If the elevator moves down 8.60 m, how many revolutions has the drum made?

Answers

The relationship between the length of the circle and its radius allows to find the result for the revolutions turned when the distance decreases  8.60m is:

           Angle = 17.8 rev

The length of a circle is given by the expression.

         L = 2π r

Where L is the length of the circle and r is the radius of the circle.

They indicate the radius of the drum is r = 7.71 cm = 7.71 10⁻² m, let's find the length of the circle.

         Lo = 2 π 7.71 10⁻²

         Lo = 0.4844 m

Let's find the angle that the drum has rotated, using a direct proportional rule. If rotate an angle of 2π radians when you descend 0.4844 m, what angle you rotate when you descend 8.60 m.

          #_ angles =  [tex]8.6 m \ \frac{2\pi \ rev} { 0.4844 m}[/tex]  

          #_angle = 111.55 radians

Let's reduce to revolutions.

         # _angles = 111.55 radians ( [tex]\frac{1 rev }{2\pi rad}[/tex] )

         #_angulo = 17.8 rev

In conclusion, using the relationship between the length of the circle and its radius, we can find the result for the revolutions turned when the distance decreases is:

           Angle = 17.8 rev

Learn more here: https://brainly.com/question/4518309

what greenhouse gasses do for the atmosphere

Answers

Answer:

Explanation:

Earth's atmosphere contains greenhouse gases that trap heat. While they allow sunlight to pass through the atmosphere, they also prevent the heat it brings from leaving it.

A 77 kg girl and a 62 kg boy face each other on friction free roller skates. The girl pushes the boy, who moves away at a speed of 2.5 m/s. What is the girl's speed? ​

Answers

Answer:

Explanation:

conservation of momentum

Initial momentum is zero

77v + 62(2.5) = 0

77v = -155

   v = -155/77 = -2.0129870...

 |v| = 2.0 m/s


A car accelerates from 10m/s to 50m/s over a distance of som. What is the
acceleration of the car?

Answers

Answer:

40m/s

Explanation:

50m/s - 10m/s = 40m/s

Figure 10.20 in your textbook shows an energy diagram for a system with total energy E1. Suppose the system's total energy is E2 = (1/3)E1. In what ways could the particle move?
Select all that apply.

a.) It could remain at rest at x3.
b.) It could oscillate between x1 and x5.
c.) It could undergo small oscillations around x2.
d.) It could undergo small oscillations around x3.
e.) It could undergo small oscillations around x4.

Please explain why, I have an exam coming up and want to understand the concept.

Answers

The particles can undergo small oscillations around x₂.

The given parameters;

initial energy of the particles = E₁final energy of the particles, E₂ = 0.33E₁

The movement of the particles depends on the kinetic energy of the particles.

When kinetic energy of the particles is 100%, the particles can oscillate from x₁ to x₅.

However, when the total energy of this particles is reduced to one-third (¹/₃) or 33% of the initial energy of the particle, the oscillation of the particles will be reduced.

The maximum position the particle can oscillate is x₅The half position the particles can oscillate is x₃

Since 33% is less than the half of the energy of the particle, the particle will oscillate between x₁ and x₂.

Thus, we can conclude that the particles can undergo small oscillations around x₂.

Learn more here:https://brainly.com/question/23910777

Which of the following has the greatest momentum? (Hint: momentum = mass x velocity)

a. a 4.0 kg bowling ball moving at 2.0 m/s

b. a 0.15 kg baseball moving at 10.0 m/s

c. a 1.6 x 10^3 kg car moving at 0.5 m/s

d. a 2 kg bullet moving at 950 m/s

Answers

Answer:

therefore, the correct answer is Option D.

Explanation:

a. 4×2=8kgm/s

b. 0.15×10=1.5kgm/s

c. 1.6×10³×0.5=800kgm/s

d. 2×950=1900kgm/s.

hope this helps you

A student drops a rock from rest at a distance h above the ground such that the rock hits the ground at a time t0 . At what distance above the ground should the rock be dropped such that it hits the ground at a time 2t0 after it is released.?

Answers

The distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.

The given parameters;

initial velocity of the rock, u = 0height above the ground, = htime of motion of the rock from the height = t₀

The time of motion of the rock from the given height is calculated as;

[tex]h = ut + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt_0^2\\\\h = \frac{1}{2} gt_0^2\\\\t_0^2 = \frac{2h}{g} \\\\t_0 = \sqrt{\frac{2h}{g} }[/tex]

When the time of motion is doubled to 2t₀, the height above the ground should be;

[tex]2(t_0) = 2(\sqrt{\frac{2h}{g} } )\\\\2(t_0) = \sqrt{\frac{4\times 2h}{g} }[/tex]

Thus, the distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.

Learn more here:https://brainly.com/question/24607640

Which model represents a lot of conservation of mass?

Answers

The second one is it I think

Answer:

Only option 2 has the same number of oxygen and hydrogen atoms on each side of the arrow.

Explanation:

Place the yellow, 25g ball at 60 cm on the ramp. How far did the box move? Measure from the left side of the box.

Answers

Answer: approximately 13-15 centimeters

The depth of a pond is 1.5m. Calculate the pressure caused by the water at the bottom of the pond ?​?​

Answers

The pressure caused by water is: P = P0 + bgh = 1.013×10^5 + 10^3×9.81 × 1.5 = 1.18 atm

Why do bulbs in series circuit glow brightly than those in the parallel circuit?

Answers

In series, both bulbs have the same current flowing through them. The bulb with the higher resistance will have a greater voltage drop across it and therefore have a higher power dissipation and brightness. In parallel, both bulbs have the same voltage across them.

The depth of a pond is 1.5m. Calculate the pressure caused by the water at the bottom of the pond.​

Answers

Area=1.5(1.5)=2.25m^2Force of gravity=10N

[tex]\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}[/tex]

[tex]\\ \sf\longmapsto Pressure=\dfrac{10}{2.25}[/tex]

[tex]\\ \sf\longmapsto Pressure=4.4Pa[/tex]

Answer:

Area=1.5(1.5)=2.25m^2

Force of gravity=10N

\begin{gathered}\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}\end{gathered}

⟼Pressure=

Area

Force

\begin{gathered}\\ \sf\longmapsto Pressure=\dfrac{10}{2.25}\end{gathered}

⟼Pressure=

2.25

10

\begin{gathered}\\ \sf\longmapsto Pressure=4.4Pa\end{gathered}

⟼Pressure=4.4Pa

a squirrel is 5.0 m away from you while moving at a constant velocity of 3 m\s away from you, how far is the squirrel after 5 seconds?

Answers

Answer: distance travel after 5 seconds = 3×5 =15 m

so squirrel is away from me by distance of 15+ 5 = 20 m

Explanation:

Answer:

I believe 20 is the answer

Calculate the density of a marble at 16 g and has a volume of 8cm 3

Answers

Answer:

16g/8cm3 = 2g/cm3 or 2x106g/m3

Explanation:

Hope it helps

Please Give me Brainliest

Answer:

16g/8cm3 = 2g/cm3 or 2x106g/m3

SI unit pf pressure is?

Answers

The SI unit for pressure is the pascal (Pa), equal to one newton per square metre (N/m2, or kg·m−1·s−2).

Pasquale pa there’s the answer

How did kepler develop his second law of motion ?

A. He invented a telescope that was strong enough to view all plants of the solar system along their orbits

B. He compared data of planetary motion at different times along orbits

C. He made accurate measurements of the positions of all the planets over many years

D. He used a telescope to carefully follow and time the orbital motion of mars ​

Answers

He developed his second law of motion by using a telescope to carefully follow and time the orbital motion of mars .

What is a Telescope?

This is a device which is used to form magnified images of distant objects. Kepler used it to observe the orbit motion of mars.

He discovered that planets do not move with constant speed along their orbits which led to his second law of motion.

Read more about Kepler second law of motion here https://brainly.com/question/7540858

5) You are visiting Norway for the winter and driving on a highway where the speed
limit is 80 km/hr. Your car indicates that you are going at a speed of 55 mi/hr. Will
you be arrested? (1 mi = 1.6 km)

Answers

Yes because if the limit is 80KM/hr and your going 55MI/hr that’s way above what the limit is

A shopper is pushing a cart down a grocery store aisle. Starting from rest, the shopper applies a constant force to the cart for 4.0 s. From t = 4s until t = 4 s until t = 8 s, the shopper applies just enough force to balance the friction on the cart. Finally, the shopper applies a constant force to slow the cart until it comes to rest att = 12 s. The resulting position-time graph is shown below. What is the average acceleration of the shopping cart during its 12s motion?​

Answers

A shopping cart that starts from rest, is accelerated for 4 s, moves at constant velocity for 4 s, and is decelerated for 4s until returning to rest, has an average acceleration of 0 m/s².

A shopper is pushing a cart down a grocery store aisle. The movement of the cart is:

It starts from rest.From t = 0 s to t = 4.0 s it is accelerated with a constant force.From t = 4 s to t = 8.0 s it receives just enough force to balance the friction on the cart.From t = 8 s to t = 12 s it is decelerated until it comes to rest.

All in all, at the initial time (t = 0 s), the velocity is 0 m/s (rest) and at the final time (t = 12 s) the velocity is 0 m/s as well (rest). The average acceleration in that period is:

[tex]a = \frac{v_{12}-v__o}{t_{12}-t_0} = \frac{0m/m-0m/s}{12s-0s} = 0 m/s^{2}[/tex]

A shopping cart that starts from rest, is accelerated for 4 s, moves at constant velocity for 4 s, and is decelerated for 4s until returning to rest, has an average acceleration of 0 m/s².

Learn more: https://brainly.com/question/16274121

Answer:0 m/s2

Explanation: Cus i said so.

Give some practical examples where prefixes are used ​

Answers

Semi - semifinal, semicolon - Germany became first team to score 7 goals in the World Cup semi final.

Un - unlock, unsafe - They now believe this drug is unsafe for animals.

Non - nonspecific, nonverbal - People often express our emotions nonverbally.

Over - overload, overdose - The server is overloaded.

how is the shape of an object related to Bernoulli principle

Answers

Answer:

Again, in accordance with Bernoulli's principle, the shape of the airflow facilitates the spread of laminar flow around it. The slower-moving currents beneath the airfoil exert greater pressure than the faster currents above it, giving lift to the aircraft.

Explanation:

feminine of mouse

please let me know​

Answers

Answer:

a Doe

A baby mouse is called a 'pinky', a male is called a 'buck' and a female is called a 'doe'.

(hope that helped)

I’m stuck
Why do I have to run

Answers

Answer: Because

Running can significantly improve physical and mental health. As a form of aerobic exercise, running can reduce stress, improve heart health, and even help alleviate symptoms of depression. Some researchers think running may be so good for us because it's something we evolved to do. lol

Explanation:

Other Questions
Help please!!!Thanks! please solve and explain !!! 1) Danielle completely covered a square window using 18.4 ft of contact paper without anyoverlap. Which measurement is closest to the side length of this window in feet?A 5 ftB 4 ftC 9 ftD 3 ft How does Douglass use tone to effectively convey his message in "What the Black Man Wants"?O Douglass uses a passionate tone to strengthen the logical arguments he makes about universal suffrage.O Douglass uses an angry tone to convey the idea that the black man is bitter about the absence of universal suffrage.Douglass uses a sorrowful tone to elicit sympathy and guilt in hopes of achieving universal suffrage.Douglass uses a threatening tone to issue the inflexible demands he has prepared about universal suffrage. Please help me on my homework What happens to the oxygenthat is formed when water moleculesare split during photolysis Sheila walks 3 miles in of an hour. How fast does she walk per hour? CAN SOMEONE HELP PLSSSS ITS THE LAST QUESTION Intro to Solving Literal Equations and Formulas Picture Below: I really don't know how to do give a comment so here is a comment I'd like to share this answer was totally incorrect, but I hate being rude or mean or even disrespectful to one's self but this was an incorrect answer for me PLEASE HELP WILL MARK BRAINEST!!!!Whats the answer to number 7? Question 2: 2.1 This poem contains words that are not grammatically correct or are informal. Explain why this type of language is acceptable in certain poems and stories but not in formal language. How does the poem benefit from the use of such language? (10) 2.2 The above poem suggests that the speaker has not had an easy life. Explain how the writer's choice of words influences the mood and feeling of the poem overall. Give three specific examples from the poem and elaborate on the feelings they generate. (10) Anyone know this please?! This art style depicts.objects.in its basic geometric forms Someone help me with this I will make you brain Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand What determines the price of goods in a free enterprise system? A. Agreement among producers B. Supply and demand C. Government agencies D. Five-year plans Which one is bigger, -3.142 or -0.5? Why would lines segments, rays, or planes not exist if points do not exist Indicate which property is illustrated in step 1