A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

Answers

Answer 1

Hi there!

With the work-energy theorem for oscillating springs:

ME = KE + PE

[tex]ME = \frac{1}{2}mv^2 + \frac{1}{2}kx^2[/tex]

Where:

m = mass (kg)

v = velocity (m/s)

k = Spring Constant (N/m)

x = displacement from equilibrium (m)

If the object is at the equilibrium position, there is NO potential energy since:

[tex]\frac{1}{2}k(0^2) = 0 J[/tex]

Thus:

[tex]ME = \frac{1}{2}mv^2[/tex]

Plug in the given values:

[tex]ME = \frac{1}{2}(0.50)(1.5^2) = \boxed{0.5625 \text{ J}}[/tex]


Related Questions

How much distance does a car travel with a speed of 2m/s in 15 min?​

Answers

1800m because there 900 seconds in 15 minutes and 2*800=1800 so 1800m

Explanation:

1 minute is 60 seconds so you multiply 60 * 15 and then multiply that answer * 2

A 5kg mass is pushed with a force of 10N for a distance of 2.5 meters. The work done is​

Answers

W = 25 J

Explanation:

Work done on an object is defined as

[tex]W = Fd = (10\:\text{N})(2.5\:\text{m}) = 25\:\text{J}[/tex]

The current in a resistor is 3.0 A, and its power is 60 W. What is the voltage?

Answers

Answer:

20 volts

Explanation:

Use the equation [tex]P=VI[/tex]

[tex]60=V(3)[/tex]

[tex]V=20[/tex]

The current in a resistor is 2.0 A, and its power is 78 W. What is the voltage?

Answers

Answer:

39 volts

Explanation:

Use the equation [tex]P=VI[/tex]

[tex]78=V(2)[/tex]

[tex]V=39[/tex]

How much energy is consumed by a 12 W night light left on for 10 hr?

Answers

Answer:

Energy consumed is 0.00033 Joules.

Explanation:

the formula of Energy is:

Energy = power/ time.

How does a balanced chemical equation demonstrate the Law of Conservation of Mass? it shows that only physical changes follow the Law of Conservation of Mass it shows that only physical changes follow the Law of Conservation of Mass it shows that the properties of the elements stay the same after the reaction it shows that the properties of the elements stay the same after the reaction it shows that all compounds remain bonded after the reaction it shows that all compounds remain bonded after the reaction it shows that no atoms have been gained or lost during the reaction

Answers

Answer:

it shows that the properties of the elements stay the same after the reaction

it shows that the properties of the elements stay the same after the reaction

it shows that all compounds remain bonded after the reaction

it shows that all compounds remain bonded after the reaction

it shows that only physical changes follow the Law of Conservation of Mass

it shows that only physical changes follow the Law of Conservation of Mass

it shows that no atoms have been gained or lost during the reaction

it shows that no atoms have been gained or lost during the reaction

A 25-kg box of books is dropped on the floor from a height of 1.1 m and comes to rest. What impulse did the floor exert on the box

Answers

The impulse the floor exert on the box is 116 kgm/s.

The given parameters;

mass of the books, m = 25 kgheight of the books, h = 1.1 m

The final velocity of the box when it dropped to the floor is calculated as follows;

[tex]\frac{1}{2} mv^2 = mgh\\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2\times 9.8 \times 1.1} \\\\v = 4.64 \ m/s[/tex]

The impulse the floor exert on the box is calculated as follows;

the impulse the floor exert on the box is equal to change in momentum of the book

[tex]J = \Delta P\\\\J = \Delta Mv\\\\J = M(v_f - v_0)\\\\J = 25(4.64 - 0)\\\\J = 116 \ kgm/s[/tex]

Learn more about impulse here:https://brainly.com/question/23927723

In which state of matter are molecules fastest?

Answers

A solid such as Sugar molecules or a liquid like in water molecules or gas molecules such as oxygen and nitrogen molecules in air. Since gas molecules have the weakest intermolecular forces than other molecules in the other two states then they will be the fastest.

Answer:

gas

Explanation:

since gas is in the air I think the answer is gas

what is prefixe name of 1.5×10⁴​

Answers

Answer:

10000

Explanation:

10 to the 5th power

Disk A, with a mass of 2.0 kg and a radius of 40 cm , rotates clockwise about a frictionless vertical axle at 50 rev/s . Disk B, also 2.0 kg but with a radius of 20 cm , rotates counterclockwise about that same axle, but at a greater height than disk A, at 50 rev/s . Disk B slides down the axle until it lands on top of disk A, after which they rotate together.
After the collision, what is magnitude of their common angular velocity (in rev/s)?

Answers

Hi there!

For this problem, we must use the conservation of angular momentum. This is an example of an inelastic "collision", so:

I₁w₁ + I₂w₂ = (I₁ + I₂)wf

We know that the moment of inertia of a disk is 1/2mR², so we can calculate the moments of inertia for both disks:

Disk 1: 1/2(2)(0.40²) = .16 kgm²/s

Disk 2: 1/2(2)(0.20²) = .04 kgm²/s

Plug in the values. Let counterclockwise be positive.

.16(-50) + .04(50) = (.16 + .04)wf

Solve:

wf = -30 rev/s

PLEASE HELP ON THIS QUESTION ​

Answers

[tex]r = 1.29×10^8\:\text{m}[/tex]

Explanation:

According to Newton's law of universal gravitation, the gravitational force between Uranus and Miranda is

[tex]F_G = G\dfrac{M_UM_M}{r^2}[/tex]

where [tex]M_U[/tex] is the mass of planet Uranus, [tex]M_M[/tex] is the mass of its satellite Miranda, r is the distance between their centers and G is the universal gravitational constant. Moving the variable r to the left side, we get

[tex]r^2 = G\dfrac{M_UM_M}{F_G}[/tex]

Taking the square root of the equation above, we get

[tex]r = \sqrt{G\dfrac{M_UM_M}{F_G}}[/tex]

Plugging in the values, we get

[tex]r = \sqrt{(6.67×10^{-11}\:\text{N-m}^2{\text{/kg}}^2)\dfrac{(8.68×10^{25}\:\text{kg})(6.59×10^{19}\:\text{kg})}{2.28×10^{19}\:\text{N}}}[/tex]

[tex]\:\:\:\:\:=1.29×10^8\:\text{m}[/tex]

A football is kicked with an initial velocity of 50.0 m/s, 60° above the horizontal line. Find the following: The time it takes to reach the maximum height; The maximum height reached by the projectile; The time of flight; and The range of projectile.

Answers

Answer:

Explanation:

Initial vertical velocity

vy₀ = 50.0sin60 = 43.3 m/s

This initial velocity is reduced to zero by gravity in a time of

t = v/a = 43.3/9.81 = 4.41 s

h(max) = ½gt² = ½(9.81)4.41² = 95.6 m

The ball will return to earth in the same amount of time

t(max) = 2(4.41) = 8.82 s

The horizontal velocity is

vx = 50.0cos60 = 25.0 m/s

d = vt = 25.0(8.82) = 221 m

That 's one heck of a kick! No air resistance of course.

Tendency of matter to change in shape, area, volume in response to a change in particular temperature is called

Answers

Answer: Thermal expansion!

EXAM ENDS IN 30 MINS
PLSSS HELPPP ILL MAKE U BRAINLIEST

Answers

Explanation:

F = Icurrent×length×Bfieldstrength×sin(angle field to wire)

in our case

Icurrent = 10 A

length = 0.02km = 20 meters

B = 10^-6 T

angle = 30 degrees.

F = (20 A)(20m)(10^-6 T)×sin(30) = 400× 10^‐6 ×0.5 N =

= 200 × 10^-6 = 2 × 10^‐4 N

What is the word that is used to describe someone that is using a drug?
A: Sober
B: Crazy
C: High
D: Slumped


Helppp​

Answers

The answer would be B.Crazy

Hope It Helps and Stay Safe(◠‿◕)

Which statement best describes how light behaves with liquids, gases, and solids?

A. Light is unable to travel through liquids but travels easily through solids and some gases.

B. Light is unable to travel through gases but does travel through liquids and solids.

C. Light travels easily through liquids and gases, as well as through some solids like
glass.

D. Light travels easily through solids but is unable to travel through liquids and gases.

(20 points!)

Answers

Answer:

C number is write i think

what is kinetic friction ? what causes it ? what does it generate ?

Answers

Answer:

What is kinetic friction?

Kinetic friction is defined as a force that acts between moving surfaces. A body moving on the surface experiences a force in the opposite direction of its movement.

What causes it?

When the mass is not moving, the object experiences static friction. The friction increases as the applied force increases until the block moves. After the block moves, it experiences kinetic friction, which is less than the maximum static friction.

What does it generate?

When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into thermal energy (that is, it converts work to heat). This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire.


One of the great challenges of cosmology today is to ---
A
determine the amount of matter in the Universe
B
find intelligent signals emanating from outer space
С
look backward in time to before the Big Bang
D
locate wormholes to help define the structure of the Universe

Answers

Answer:

Steady-state theory, in cosmology, a view that the universe is always expanding but maintaining a constant average density, with matter being continuously created to form new stars and galaxies at the same rate that old ones become unobservable as a consequence of their increasing distance and velocity of recession.

Cosmic inflation is a faster-than-light expansion of the universe that spawned many others. ... Cosmic inflation solves these problems at a stroke. In its earliest instants, the universe expanded faster than light (light's speed limit only applies to things within the universe).

what memory are you using to remember who the president of the united states is

Answers

Answer:

The First 8 Presidents

For this exercise, we're going to use a silly story made of silly sentences. The letters that represent the last names of these presidents are W, A, J, M, M, A, J, V. One silly sentence to help you remember this sequence is: Wilma and John made merry and just vanished

working memory.

sensory memory.

short-term memory.

long-term memory.

3. A circular section of copper cable has a resistance of 0.50. What will be the resistance of a
copper cable of the same length but of twice its diameter?

Answers

Watch out from linkers.!!

. A load of 250 kg is hung by a crane’s cable. The load is pulled by a horizontal force such that the cable makes a 300 angle to the vertical plane. If the load is in the equilibrium, calculate the magnitude of the tension in the cable.​

Answers

If the load is in the equilibrium, the magnitude of the tension in the cable is equal to 1,414.5 Newton.

Given the following data:

Mass of load = 250 kgAngle of inclination = 30°

Scientific data:

Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]

To calculate the magnitude of the tension in the cable, if the load is in the equilibrium:

First of all, we would determine the tension caused by the horizontal component of the force:

[tex]\sum F_y ; Tcos\theta - mg=0\\\\Tcos\theta = mg\\\\T=\frac{mg}{cos\theta} \\\\T=\frac{250 \times 9.8}{cos30} \\\\T= \frac{2450}{0.8660}[/tex]

T = 2,829.1 Newton

The magnitude of the tension in the cable is given by:

[tex]\sum F_x ; F - Tsin\theta = 0\\\\F = Tsin\theta\\\\F = 2829.1sin30\\\\F = 2829.1 \times 0.5[/tex]

F = 1,414.5 Newton.

Read more on tension here: https://brainly.com/question/18792908

QUESTION 1
In paragraph 1 of this passage, which clues help you figure out the meaning of the word vital?
Changes this energy
O Captured from the Sun
O Chemical change called photosynthesis
O Need them to survive
QUESTION 2
Which is the best summary of the selection?

Answers

Answer:

Question 1 is "need them to survive"

Explanation:

vital means necessary or needed

The meaning of the word vital in this passage is "need them to survive". Therefore, option D is correct.

What is the summary of photosynthesis?

The process by which plants convert carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. Chloroplasts, which house the chlorophyll in plants, are where photosynthesis occurs. The thylakoid membrane, a third inner membrane that creates long folds inside the chloroplast and is bordered by a double membrane, is present inside chloroplasts.

Photosynthesis is very important for the survival of organisms because they get energy from photosynthesis. Life on earth is impossible without this process.

The meaning of the word vital in this passage is "need them to survive". Therefore, option D is correct.

Learn more about photosynthesis, here:

https://brainly.com/question/29764662

#SPJ2

c. Boat travels north then west

A boat travels 76.0 km due north in 8.0 hours then 56.0 km due west in 5.0 hours.

Determine the direction (as a bearing) of the average velocity (to 1 decimal places) of the boat in the 8 + 5 hour period.


PLEASE HELP!!

Answers

Answer:

Explanation:

θ = arctan(56.0/76.0) = 36.4° West of North

average velocity is √(56.0² + 76.0²) / (8 + 5) = 94.4/13 = 7.26 m/s

a box has a mass of 4 kg and surface area 4 metre square calculate the pressure exerted by the box on the floor​

Answers

- BRAINLIEST answerer ❤️

Answer:

9.8

Explanation:

we know ,

f=m.g(g=9.8m/s^2)

now,

p=force/area

p=m.g/a

p=4×9.8/4

p=4 pascal.

if u put g as 10 then ypu will get 10 pascal

PLEASE HELP ME WITH THISSSS

Answers

Answer:

she will move in the same direction at the same speed forever.

Explanation:

If there are no outside forces like gravity the net force will never change, she will just keep flying for forever and ever! poor lady

A cognitive bias is a kind of logical fallacy.
True or false?

Answers

Answer:

True

Explanation:

It definetly is because, if we are biased it sets us up to fail on some things.

Need help with dot product

Answers

[tex]\textbf{A}\cdot\textbf{B} = 11.5[/tex]

Explanation:

The dot product between two vectors [tex]\textbf{A}[/tex] and [tex]\textbf{B}[/tex] is defined as

[tex]\textbf{A}\cdot\textbf{B} = AB\cos{\theta}[/tex]

where A and B are the magnitudes of the vectors [tex]\textbf{A}[/tex] and [tex]\textbf{B},[/tex] respectively and [tex]\theta[/tex] is the angle between the two. Since A = 3, B = 5 and [tex]\theta = 40°,[/tex] the dot product [tex]\textbf{A}\cdot\textbf{B}[/tex] is

[tex]\textbf{A}\cdot\textbf{B} = (3)(5)(0.766) = 11.5[/tex]

A 400 g ball swings in a vertical circle at the end of
a 1.5-m-long string. When the ball is at the bottom
of the circle, the tension in the string is 10 N.
A) what is the speed of the ball at that point?

Answers

Answer:

a = 25 m/s2

Explanation:

A = f/m

A = Speed/Acceleration

F =‘Force

M = Mass

A wheel has a radius of 0.40 m and is mounted on frictionless bearings. A block is suspended from a rope that is wound on the wheel and attached to it (see figure). The wheel is released from rest and the block descends 1.5 m in 2.00 s without any slipping of the rope. The tension in the rope during the descent of the block is 20 N. What is the moment of inertia of the wheel?

Answers

Hi there!

We can begin by calculating the acceleration of the block and the wheel using the following equation:

d = vit + 1/2at², where initial velocity = 0 m/s

d = 1/2at²

2d/t² = a

2(1.5)/2² = 0.75 m/s²

Now, we can do a summation of torques:

∑τ =  rT

Rewrite using Newton's 2nd Law for rotation:

Iα = rT

Convert α to a using the relationship α = a/r:

I(a/r) = rT

Ia = r²T

I = r²T/a

Plug in the values:

I = (0.40²)(20)/(0.75) = 4.267 kgm²

a Answer the following questions 1. On a cold wintery day, you burn firewood to keep yourself warm. The firewood undergoes a change in state. a. Name the change in state of matter that you see

Answers

Answer:

heating prosedure takes place the opposite of condensation

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