the maximum displacement of an oscillatory motion is A=0.49m. determine the position x at which the kinetic energy of the particle is half it's elastic potential energy? (if K.E = U/2 __ x = ?)

Answers

Answer 1

Answer:0.4 m

Explanation:

Given

Maximum displacement A=0.49

The sum of kinetic and elastic potential energy is [tex]\frac{1}{2}kA^2[/tex]

where k=spring constant

U+K.E.=[tex]\frac{1}{2}kA^2[/tex]

when K.E.=U/2

K.E.=kinetic energy

U=Elastic potential Energy

[tex]\rightarrow \ U+\frac{U}{2}=\frac{1}{2}KA^2\\\rightarrow \ \frac{3U}{2}=\frac{1}{2}KA^2\\\rightarrow \ U=\frac{1}{3}KA^2\\\rightarrow \ \frac{Kx^2}{2}=\frac{1}{3}KA^2\\\\x=\sqrt{\frac{2}{3}}A\\x=0.4\ m[/tex]


Related Questions

2 benefits of yoga with explanation

Answers


increased flexibility.
increased muscle strength and tone.
improved respiration, energy and vitality.
maintaining a balanced metabolism.
weight reduction.
cardio and circulatory health.
improved athletic performance.
protection from injury.

Will give brainliest if correct
Please help

Answers

Answer:

85.45

Divide 4,700/55

So C.

Answer:

C.85

Explanation:

Use the equation:

v= fλ ( v=wave speed, f= frequency, λ= wavelength)

4700= 55×λ

λ=4700÷55 =85.45 =85(approximately)

The metal wire is stretched so that its cross-section is still circular but its total length is now 10 meters. What is the resistance of the wire after stretching

Answers

I don’t know I think about 20 meters but I’m probably wrong I just need to do this so someone can answer my question

A 20-cm-long rod with a diameter of 0.250 cm is loaded with a 5000 N
weight. If the diameter decreases to 0.210 cm, determine (i) the
engineering stress and strain at this load and (ii) the true stress and strain
at this load

Answers

Answer: the answer is 19cm

Explanation:

What are your ideas about why you cannot see three different colors?

Answers

Answer:

Because humans possess these three types of cones, they are described as trichromats (tri = 3, chroma = color). ... The perception of color is not simply a matter of wavelength detection, as it involves various stages of neuronal processing

An 85 kg man stands in a very strong wind moving at 15 m/s at torso height. As you know, he will need to lean in to the wind, and we can model the situation to see why. Assume that the man has a mass of 85 kg, with a center of gravity 1.0 m above the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward.

Required:
a. What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically.
b. At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?

Answers

Answer:

  a) [tex]T= 72.9 Nm[/tex]

  b)      [tex]\Theta = 5 \textdegree[/tex]

Explanation:

From the question we are told that

Mass 85kg

Speed 15m/s

Center of gravity 1.0m

Cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground

a)Generally equation for force is given by

   [tex]F = 0.5 p A v^2[/tex]

Mathematically solving for force exacted

   [tex]F = 0.5*1.2*0.9*0.5*15^2[/tex]

   [tex]F= 60.75 N[/tex]

Mathematically solving for torque

Torque,

    [tex]T = r * F[/tex]

    [tex]T=1.2*60.75[/tex]

   [tex]T= 72.9 Nm[/tex]

b)Generally in solving for [tex]\theta[/tex]

   [tex]Tan\theta = Torque/(Mass * Gravity)[/tex]

   [tex]Tan\theta = (72.9)/(85 * 9.8)[/tex]

     [tex]\Theta = 5 \textdegree[/tex]

Rogue waves in the ocean were considered a myth for a very long time, fanciful and fabricated tales of fishermen too long in the sun and on the sea. What basic physics mechanism provides an explanation of their existence

Answers

Answer:

D. Constructive Interference of waves

Explanation:

Rogue waves occur when wave forms arrive suddenly in oceans, thus causing ships to sink within a very short time. The explanation scientists have for this is constructive interference magnified by second-order bound non-linearities. Waves are meant to arrive in a particular direction. During constructive interference, these waves arrive from different directions and in an organized way thus increasing the height of the wave.

This increased height is as a result of the waves not being in a linear form and having sharp peaks. There is also a significant difference between the crests and troughs. Scientists arrived at this explanation for the rogue waves though three experiments conducted in 1997, 2007, and 2015.

What purpose of government is shown in the First Amendment?

They guarantee rights of individuals.

They help people cooperate

They limit the rights of individuals

They provide services

Answers

Answer:

i think its They Guarantee rights of individuals

Explanation:

Answer:

To guarantee freedoms

Explanation:

Took the test

14. After finishing her homework, Sue climbs up a 5.00 m high flight of stairs to her bedroom
Find the magnitude of Sue's weight
and how much
work Sue does in climbing the stairs if she
has a mass of 50.0 kg? (4.90 x 2 N, 2450J)

Answers

Explanation:

Given parameters:

Height  = 5m

Mass of Sue  = 50kg

Unknown:

Magnitude of Sue's weight  = ?

Work done by Sue = ?

Solution:

Weight is the vertical force exerted by a body in the presence of gravity.

Mathematically;

        W = mg

m is the mass

g is the acceleration due to gravity  = 9.8m/s²

  Weight  = 50 x 9.8  = 490N

Work done  = Force x distance = weight x height

 Work done  = 490 x 5 = 2450J

An inductor with an inductance of .5 henrys (H) is to be connected to a 60 Hz circuit. What will the inductive reactance (X L) be

Answers

Answer:

1885.2 ohms

Explanation:

Step one:

given data

L=5H

f=60Hz

Required

The inductive reactance of the inductor

Step two:

Applying the expression

XL= 2πfL

substitute

XL=2*3.142*60*5

XL=1885.2 ohms

Identify the velocity-versus-time plot(s) that correspond to motion under a constant, non-zero acceleration.

Answers

Answer:

See explanation

Explanation:

The question is incomplete because the images were not attached but I will try to help you as much as possible.

Constant acceleration implies that the velocity increases uniformly with time.

The graph of constant acceleration is a straight line graph having a slope. The slope of the graph is constant at any point along the straight line.

The image attached shows a velocity-time graph depicting constant acceleration.

Ben runs from a position 3 m west of Main Street to a new position 45 m
west of Main Street in 6 seconds. What is Ben's velocity?
O
A. 7 m/s east
B. 7 m/s west
C. 8 m/s west
O
O
D. 8 m/s east
SUBMIT

Answers

Answer:

Option B. 7 m/s West.

Explanation:

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

Position 1 (P₁) = 3 m West

Position 2 (P₂) = 45 m West

Time (t) = 6 s

Velocity (v) =?

Next, we shall determine the displacement of Ben. This can be obtained as follow:

Position 1 (P₁) = 3 m West

Position 2 (P₂) = 45 m West

Displacement =?

Displacement = P₂ – P₁

Displacement = 45 – 3

Displacement = 42 m West

Finally, we shall determine the velocity of Ben. This can be obtained as follow:

Time (t) = 6 s

Displacement (d) = 42 m West

Velocity (v) =?

v = d/t

v = 42 m West / 6 s

v = 7 m/s West

Thus the velocity of Ben is 7 m/s West

A 0.41kg football that is initially at rest acquires a velocity of 35m/s when it is kicked. If the kicker's boot remains in contact with the ball for 0.08s, what is the average force of the kick?

Answers

Answer:

F = 318.88[N]

Explanation:

This problem can be solved by the principle of momentum conservation, which tells us that momentum is preserved before and after kicking the ball.

In this way, we can construct the following equation.

[tex]F*t=m*v[/tex]

where:

F = force [N]

t = time = 0.08 [s]

m = mass = 0.41 [kg]

v = velocity [m/s]

[tex]F*0.045=0.41*35\\F=318.88[N][/tex]

fill in the blank:

the more people (greater mass) you load into a car, the ___ (more or less) it will accelerate with the same force applied by the engine.

Answers

the more people (greater mass) you load into a car, the more it will accelerate with the same force applied by the engine.


A person holds onto an object for 2 minutes but doesn't move the object. Is work done
on the object?

Answers

Answer:

No

Explanation:

how much does a dog of 10kg mass weigh in newtons?

Answers

Answer:

98.0665 newtons

have a good day :]

Choose all the answers that apply. Force has _____.
efficiency
direction
time
magnitude

Answers

Magnitude and Direction



A person lifts a heavy load to a vertical height of 2.0 m in 3 seconds. If he/she had done this more slowly in 6 seconds, the

work on the load would have been:

Four times as great

half as great

the same

twice as great

Answers

Answer:

If the heavy load had been lifted more slowly, the work done on the load would have been the same.

Explanation:

Work done on an object is given as;

W = Fd

where;

F is the force applied on the object

d is the displacement of the object

for the given question, the applied force on the load = mg (mass of the load multiplied by acceleration due to gravity).

Also, the displacement of the object = vertical height the load was lifted.

W = mgh

The work done on the load is independent of time.

Thus, if the heavy load had been lifted more slowly, the work done on the load would have been the same.

A person lifting a heavy load to a vertical height of 2.0 m in 3 seconds does the same work as if he/she lifts it in 6 s.

A person lifts a heavy load to a vertical height of 2.0 m in 3 seconds.

We want to compare the work done with the one that he/she would have done if the process had taken 6 seconds.

What is work?

In physics, work (W) is the energy transferred to or from an object via the application of force (F) along a displacement (s).

W = F × s

Given the displacement is the same (2.0 m) and the force needed is also the same (weight of the object), the work is the same for both processes.

A person lifting a heavy load to a vertical height of 2.0 m in 3 seconds does the same work as if he/she lifts it in 6 s.

Learn more about work here: https://brainly.com/question/25064916

local AM radio station broadcasts at a frequency of 685.9 kHz. Calculate the wavelength at which they are broadcasting. Wavelength

Answers

Answer:

λ = 437 m.

Explanation:

Since a radio wave is a electromagnetic type of wave, it propagates approximately at the same speed of light in vacuum, 3*10⁸ m/s.As in any wave, there exist a fixed relationship between the propagation speed, the wavelength and the frequency of the radio wave, as follows:

       [tex]c = \lambda* f (1)[/tex]

Replacing by the values of the speed and the frequency, and solving for the wavelength λ, we get:

       [tex]\lambda = \frac{c}{f} =\frac{3e8 m/s}{685.9e31/s} =437 m (2)[/tex]

Does a basketball, baseball, tennis ball, or marble MOST LIKELY have the smallest volume?

Answers

Marble i think not quite sure doe

Answer: tennis ball

Explanation:


A constant net force of 345 N is applied to slide a heavy stationary
couch across the floor. If the force is contact with the couch for 1.5 seconds,
then what is the change in momentum of the couch

Answers

Answer:

P = 517.5 [kg*m/s]

Explanation:

We must remember that momentum is defined as the product of force by the time of force duration.

[tex]P=F*t[/tex]

where:

P = momentum [kg*m/s]

F = force [N]

t = time [s]

[tex]P=345*1.5\\P=517.5[kg*m/s][/tex]

Which type of physical activity is being performed in the picture?


A.
cardiovascular
B.
strength training
C.
flexibility
D.
cross training
Reset Next

Answers

B strength training I think that’s the answer
C I think because I see many pics like taht and if not that then B

A 0.53 kg arrow leaves a bowstring at a velocity of 63 m/s. If the arrow was initially at rest and then the string applied a force on it for 7 x 10-3 seconds, what was the approximate average force in Newtons that acted on the arrow during this time?

Answers

Answer:

4770 N

Explanation:

Momentum is the product of mass and velocity and force is the change in momentum divided by change in time.

Given from the question;

Mass of arrow= 0.53 kg

Velocity of arrow = 63 m/s

Initial velocity of arrow = 0 m/s

Change in time = 0.007 s

Finding momentum after the arrow is released as;

p=m*v

p= 0.53 * 63

p= 33.39 kg*m/s

Force is the change in momentum divided by change in time;

F= 33.39 / 0.007

F= 4770 N

a tennis ball rolls horizontally to the left for 30 m at a constant speed. what is the velocity after 15 seconds? what is the speed?

**PLEASE HELP - for physics, list variables

Answers

I’m sorry I wish I could help but is there anything else I can help you w it h ??
This is velocity formula

Time * speed is is miles

a suspension bridge cable is connected to its anchor at a 20 degree angle. calculate the vertical component force on the anchor by the cable. ​

Answers

The question is missing some parts. Here is the complete question.

A suspension bridge cable is connected to its anchor at a 20° angle. Find the vertical and horizontal component of the force on the anchor by the cable.

Answer: [tex]F_{x}=[/tex] 14095.4 N

              [tex]F_{y}=[/tex] 5130.3 N

Explanation: The force applied to the anchor is not perpendicular to the horizontal plane. So, it can be decomposed into 2 components: a vertical component, which is on the y-axis, and a horizontal component, which is on the x-axis.

The force and its components forms a right triangle, so we can calculate the components by using trigonometric relations:

Horizontal

[tex]cos(20)=\frac{F_{x}}{F}[/tex]

[tex]F_{x}=F.cos(20)[/tex]

[tex]F_{x}=15,000(0.9397)[/tex]

[tex]F_{x}=[/tex] 14,095.4 N

Vertical

[tex]sin(20)=\frac{F_{y}}{F}[/tex]

[tex]F_{y}=Fsin(20)[/tex]

[tex]F_{y}=[/tex] 15,000(0.3420)

[tex]F_{y}=[/tex] 5,130.3 N

The vertical and horizontal components of force on the anchor by the cable are 5130.3 N and 14095.4 N, respectively.

4) Which of the following is NOT true about lysozyme:
A) it destroys bacteria
B) it cleanses and protects the eye
C) it is an enzyme
D) it is found in tears
E) it stimulates the rods and cones

Answers

The following that are not true are E and D
E is not true the rest is true

explain why ionizing radiation is dangerous?​

Answers

Answer:

When the dose is high enough, ionizing radiation causes two types of harm to humans: direct tissue damage and cancer. Direct tissue damage happens when enough molecules are broken apart that the cells simply can no longer function. This can lead to radiation burns, radiation sickness, organ failure, and even death.

What do C-microwaves reveal to scientists?

Answers

Answer:

Different wavelengths of microwaves (grouped into "sub-bands") provide different information to scientists. Medium-length (C-band) microwaves penetrate through clouds, dust, smoke, snow, and rain to reveal the Earth's surface.

Food Chain: is a sequence of feeding relationships which describes which organism eats another.
● The Direction of the arrow in a food chain means:_____________________​

Answers

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Explanation:

I took the test on edge

What is the standard form for 2 × 10−3 ?

Answers

Answer:

17

Explanation:

2 x 10 = 20

20-3 = 17

Your answer is 17 bc you have to use PEMDAS multiplication is before subtraction
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