A block of mass =4.20 kg slides along a horizontal table with velocity 0=3.50 m/s . At =0 , it hits a spring with spring constant =26.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by =0.250 . How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.

Answers

Answer 1

The distance in which the spring is compressed is 1.065 m.

The given parameters;

mass of the block, m = 4.2 kgvelocity of the block, v = 3.5 m/sspring constant, k = 26 N/mcoefficient of friction, μ = 0.25

Apply the principle of conservation of energy to determine the distance in which the spring is compressed.

[tex]K.E = W + U\\\\\frac{1}{2} mv^2 = \mu Fx \ + \ \frac{1}{2} kx^2\\\\\frac{1}{2}(4.2)(3.5)^2 = 0.25(4.2 \times 9.8)(x) \ + \frac{1}{2} (26)(x^2)\\\\25.725 = 10.29x \ + \ 13x^2\\\\13x^2 + 10.29x - 25.725 = 0\\\\[/tex]

solve the quadratic equation using formula method;

a = 13, b = 10.29,  c = -25.725

[tex]x = \frac{-b \ \ +/- \ \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(10.29) \ \ +/- \ \sqrt{(10.29)^2 \ - \ 4(13\times 25.725)} }{2(13)} \\\\x = 1.065 \ m, \ \ or \ -1.86 \ m[/tex]

choose positive distance, x = 1.065 m.

Thus, the distance in which the spring is compressed is 1.065 m.

Learn more here:https://brainly.com/question/18722006


Related Questions

Tommy does 45 Joules of work to push the pencil over 3 meter. How much force did he use?

Answers

Answer:

Work = Force × Distance

Therefore Force = Work/Distance

= 45 joules/3 metres

= 15 newton

Explanation:

Answer:

15

Explanation:

15

An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 20L. The height of water rose to 30.2mL. If the mass of the stone was 25g what was its density?

Answers

Answer:

2.45 g/mL

Explanation:

(assuming that the original volume was 20 mL and not L)

Since you know the amount of water in the cylinder before and after you placed the rock in, you can subtract them to get the volume of the rock itself. [tex]30.2-20=10.2[/tex] mL.

To get the rock's density, use the equation [tex]d=\frac{m}{v}[/tex], where m is mass and v is volume.

[tex]d=\frac{25 g}{10.2mL}\\\\d=2.45 g/mL[/tex]

What can the magnetic fields influence?

A) It can cause objects to be pulled towards the magnet and pushed away from the magnet.

B) It only causes a repel force between the magnets.

C)It cause only an attraction force.

Answers

Explanation:

Magnetic fields are areas where an object exhibits a magnetic influence. The fields affect neighboring objects along things called magnetic field lines. A magnetic object can attract or push away another magnetic object. You also need to remember that magnetic forces are NOT related to gravity.

How do energy transformations occur in a hydroelectric plant?


The potential energy of water is converted to mechanical energy by a turbine.


The kinetic energy of water is converted by a dam into potential energy.


The kinetic energy of water is converted by a generator into electric energy.


The potential energy of water is converted by a transformer into electric energy.

Answers

Answer:

The answer is #3: The kinetic energy of water is converted by a generator into electric energy.

Explanation:

Hydropower plants capture the energy of falling water to generate electricity. A turbine converts the kinetic energy of falling water into mechanical energy. Then a generator converts the mechanical energy from the turbine into electrical energy.

How to calculate specific heat.

Answers

Need more information to answer this question

A skydiver that has a weight of 1050 N. jumps from a plane at an altitude of 5000 m. How much work is performed on the skydiver?​

Answers

Answer:

5.25MJ

Explanation:

Considering the weight of the skydiver constant over the descent -ie, the acceleration of gravity not decreasing as you go up the earth surfice, the work is simply the product of the two:

[tex]w= \vec F\cdot \vec x = Fx = 1050\times 5000 = 5,250,000 = 5.25MJ[/tex]

A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . what is the magnitude of the force acting on the body ? ​

Answers

The magnitude of force acting on the body is 36N

Find the average speed of the car if it's speed is 50km/hour and distance is 10 km.

Answers

Answer:

50km/hour

Explanation:

the average speed and the speed are the same

When we use an analogy that represents the expanding universe with the surface of an expanding balloon, what does the inside of the balloon represent?

Answers

Answer:  When we use an analogy that represents the expanding universe with the surface of an expanding balloon, what does the inside of the balloon represent? The inside of the balloon does not represent any part of our universe.

You get in your car after work and turn on the radio. What type of communication does the radio use?.

Answers

Answer:

Radio waves

Explanation:

The radio operates by the principles of radio wave.

Electromagnetic wave is a type of wave which does not require material medium for its propagation. A radio wave is an example of electromagnetic wave.

The radio operates in the principle of electromagnetic wave because it does not require material medium for its propagation and it has one of the longest frequency of electromagnetic spectrum.

Thus, we can conclude that the radio operates by the principles of radio wave.

Learn more about radio waves here: https://brainly.com/question/69373

why do we believe 90 percent of the mass of the milky way is in the form of dark matter?

Answers

Answer:

The orbital speeds of stars far from the galactic center are surprisingly high, suggesting that these stars are feeling gravitational effects from unseen matter in the halo.

The ______ of Saturn vary in thickness and are composed of icy chunks ranging in size from sand to boulders (and even larger).

Answers

Answer:

"rings" - viewed from a distance, Saturn appears to be surrounded by rings

A 0. 25 kg baseball is in contact with a bat for 0. 0075 s and exerts a force of 18,500 n. What impulse is delivered to the ball?.

Answers

Answer:

I = 138.75N*s

Explanation:

I = F*t

I = Impulse or momentum

t = Time or duration

F = Force

I = 18,500N*0.0075s

I = 138.75N*s

A football player kicks the ball with an initial velocity of 28.3 m/s at an angle of 60° above the horizontal. The ball is in the air for a total of 5.00 s before hitting the ground. Ignoring air resistance, what would be the ball's horizontal displacement?

Answers

Hi there!

Since the ball is directed 60° above the horizontal, we must use its HORIZONTAL component to find its displacement.

We can take the cosine to do so:

vcosθ = 28.3cos(60) = 14.15 m/s

Since the ball is in the air for 5 sec, we can use the following equation:

displacement = velocity · time (d = vt)

Plug in the values:

d = 14.15 · 5 = 70.75 m

Where does the energy released in a nuclear decay reaction come from

A. Electrons

B. Chemical bonds

C. Positrons

D. The binding energy of the nucleus

Answers

The answer is positrons

Help plz????????? Giving out Brainly

Answers

Answer:

Answer should be (B)

Explanation:

If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: a stationary object stays still. a moving object continues to move at the same speed and in the same direction.

ALSO: forces acting upon an object are balanced, then the object will maintain its state of motion. To maintain the state of motion is to keep the current speed and direction. But if the forces are not balanced, the object will change its state of motion.

If a train is moving south at 50 m/s and a person is running SOUTH on the train at 5 m/s, what is the velocity of the person as seen by someone not moving (watching the train going by)
A-45 m/s North
B-50 m/s South
C-55 m/s North
D-100 m/s South ​

Answers

The velocity of the person as seen by someone not moving (watching the train going by) will be 55 m/s South. I can therefore conclude that none of the option given is correct.

Given that a train is moving south at 50 m/s and a person is running SOUTH on the train at 5 m/s.

That means the person is running relatively to the velocity of the train. Since the train and the person are moving in the same direction, the relative velocity seen by an observer watching the train going will be the addition of both the train and the person in the direction of the train.

That is,

Relative velocity = 50 + 5

Relative velocity = 55 m/s South.

Therefore, the velocity of the person as seen by someone not moving (watching the train going by) will be 55 m/s South.

I can therefore conclude that none of the option given is correct.

Learn more here: https://brainly.com/question/14636414

I will give a 5-star answer and Brainlest
Direct contact is necessary for which type of energy transfer?
A. Conduction
B. Sound Waves
C. Convection
D. Radiation

Answers

Answer:

D

Explanation:

 

How does water temperature affect density?

Answers

it expands, increasing in volume. The warmer the water, the more space it takes up, and the lower its density.

what is the meaning of life?

Answers

Answer:

the condition that distinguishes animals and plants from inorganic matter, including the capacity for growth, reproduction, functional activity, and continual change preceding death.

Explanation:

hope this helps

in order to have beef becomes tender she will use

Answers

Answer:

you

Explanation:

you will be used is this frl?

I am confused but you do you buddy

What is the disappearance of a wave into a medium.
A. Signal
B. Amplitude
C. Absorption
D. Transmission

Answers

Answer:

Absorption

Explanation:

the disappearance of an EM wave into the medium. scattering – the spreading out of light rays in all directions because particles reflect and absorb the light.

Help help fast please first answer gets brainiest also needs to be clearly stated

Answers

They do because they use it like a system to group living things the groupings are based on common traits this helps scientists study organisms and classify a new species when found

When the sum of all the forces acting on a block.

Answers

Answer:

finish the question pls

Explanation:

Two 4 kg blocks hang from a rope that passes over two frictionless pulleys . What is the tension in the horizontal portion of the rope if the blocks are not moving and the rope and the two pulleys have negligible mass?

Answers

The tension in the horizontal portion of the rope provided the blocks are not moving and the rope has negligible mass is 40 N

The tension in the rope is a pulling force that acts on the rope when the mass of 4kg is placed on each side of the two frictionless pulley.

According to Newton's second Law;

Force = (Tension) = mass × acceleration due to gravity

We can say:

Tension = 4kg × 9.81 m/s²

Tension = 39.24 N

Tension = 40 N (to the nearest whole number)

Therefore, we can conclude that the tension in the horizontal portion of the rope is 40 N

Learn  more about Newton's Law here:

https://brainly.com/question/3715235?referrer=searchResults

How much force is required to move a tractor 60m, when using 250J of work?

Answers

Answer:

Work done,W= 250J

Displacement , s = 60

We know that, Work done = Force x displacement

i.e , W = Fxs

250 J = F x 60m

F = 250/60

=4.16 N

Hence , 4.16 N of Force is applied on the body.

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

a water skier has a mass of 80 kg and accelerates at 2 m/s2. What is the net force(F) acting on him?

Answers

Answer:

160 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

mass = 80 kg

acceleration = 2 m/s²

We have

force = 80 × 2 = 160

We have the final answer as

160 N

Hope this helps you

Which colour of light is refracted more by a prsim green or blue.explain​

Answers

Answer:

The light waves are refracted as they enter and leave the prism. The shorter the wavelength of the light, the more it is refracted. As a result, red light is refracted the least and violet light is refracted the most - causing the coloured light to spread out to form a spectrum.

Explanation:

hope this helps

Answer: Neither, its actually violet aka purple. This is because it has the shortest wavelength. This is also why red light is refracted the least because it has the longest wavelength.

Would appreciate brainly <3

Hello everyone, I just want to know the formula to solve this problem:

What is the speed of sound at 62°C?

and how to solve this kind of problem? My brain isn't working.. :)​

Answers

Answer:

367 m/s

Explanation:

Use simplified formula:

[tex]v=331.3\sqrt{1+T/273.15}[/tex] , where T- temperature in Celsius

Will give brainliest!

Answers

Answer:

chemical symbol

Explanation:

Other Questions
I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!! Ill give brainiest to, whom ever gets this correct. Which of the following states did not ratify the constitution in the first three months of delegations? what is personal reaction about RA. 11058? (essay) plss i need your help asap. A wooden box with a mass of 10.0 kg rest on a ramp that is incline at an angle of 25 to the horizontal. A rope attached to the box runs parallel to the ramp and then passes over a frictionless bully. A bucket with a mass of M hangs at the end of the rope. The coefficient of static friction between the ramp in the box is 0.50. The coefficient of Connecticut friction between the ramp in the box is 0.35. Suppose the box remains at rest relative to the ramp. What is the maximum magnitude of the friction force exerted on the box by the ramp? De quelles valeurs Gwynplaine fait-il preuve dans ce discours ? What amount of heat, in kj, would be involved in condensing 15. 8 g of choh? (hvap = 38. 0 kj/mol). Describe the naming ceremony you have witnessed objects are brought into focus on the retina by changes in the curvature and thickness of the WILL GIVE BRAINLESTWater waves in a small tank are 6.0 cm long. They pass at a given point at a rate of 4.8 waves per second. What is the speed of the wave? nosotros una cena fantastica para juan y marta what is it missing please help and show work What mass of water absorbs 6700 J of heat to raise the temperature from 283K to 318K? Pls help ::::..-//// easy one - giving brainly if correct. Answer: 3x10^2 miexample: essay about the changes in my locality village Combine the sentences Factorise:a) 22y -33z b) ax + bx ay by what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie