A horizontal spring is attached to a wall at one end and a mass at the other. The mass rests on a frictionless surface. You pull the mass, stretching the spring beyond the equilibrium position a distance A, and release it from rest. The mass then begins to oscillate in simple harmonic motion with amplitude A. During one period, the mass spends part of the time in regions where the magnitude of its displacement from equilibrium is greater than (0.30)A— that is, when its position is between −A and (−0.30)A, and when its position is between (0.30)A and A. What total percentage of the period does the mass lie in these regions?

Answers

Answer 1

Answer:

 Δt'/ T% = 90.3%

Explanation:

Simple harmonic movement is described by the expression

         x = A cos (wt)

we find the time for the two points of motion

x = - 0.3 A

        -0.3 A = A cos (w t₁)

         w t₁ = cos -1 (-0.3)

         

remember that angles are in radians

        w t₁ = 1.875 rad

x = 0.3 A

        0.3 A = A cos w t₂

        w t₂ = cos -1 (0.3)

         w t₂ = 1,266 rad

         

Now let's calculate the time of a complete period

x= -A

        w t₃ = cos⁻¹ (-1)

        w t₃ = π rad

this angle for the forward movement and the same time for the return movement in the oscillation to the same point, which is the definition of period

         T = 2 t₃

         T = 2π / w     s

now we can calculate the fraction of time in the given time interval

        Δt / T = (t₁ -t₂) / T

        Δt / T = (1,875 - 1,266) / 2pi

        Δt / T = 0.0969

 

This is the fraction for when the mass is from 0 to 0.3, for regions of oscillation of greater amplitude the fraction is

         Δt'/ T = 1 - 0.0969

         Δt '/ T = 0.903

         Δt'/ T% = 90.3%


Related Questions

An open system starts with 20,000 J of mechanical energy. The energy
changes to 18,000 J of mechanical energy and 2,058 J of thermal energy.
What is the final total energy of the system?

A 22,058 J
B 20,058 J
C 17,842 J
D 4,058 J

Answers

Answer:

its B

Explanation:

it just is

An open system starts with 20,000 J of mechanical energy. The energy

changes to 18,000 J of mechanical energy and 2,058 J of thermal energy. The final total energy of the system would be  20,058 Joules, therefore the correct answer is option B.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

As given in the problem An open system starts with 20,000 J of mechanical energy. The energy changes to 18,000 J of mechanical energy and 2,058 J of thermal energy.

The final total energy  = Mechanical energy + Thermal energy

                                     = 18000 + 2058

                                    =20058 Joules

Thus, the final total energy of the system would be  20,058 Joules, therefore the correct answer is option B.

Learn more about thermal energy here, refer to the link;

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You might need: Calculator
As shown in the figure below, Clara rushes 30 m toward her truck. She notices she forgot her donut and returns
back to the house. Her total travel time is 120 s.
30 m
30 m
What is Clara's average velocity over the 120 s period?

Answers

Answer:

0m/s

Explanation:

back and forth 30m

adds up to 0

0/120

=0

impulse is the product of a force and the blank during which that force acts

Answers

The product of the net force and the time interval for which the the force acts is Law of Momentum

Which question cannot be answered through making measurements?
A. How much carbon dioxide is released into the atmosphere when a
square mile of tropical rain forest burns?
B. Should the government invest in technologies that can reduce the
rate of global warming?
C. Which human activities contribute to global warming?
D. What is the relationship between carbon dioxide emissions and
average global temperature?

Answers

Answer: it would be A

Explanation: how are we to measure the air of a square mile

Answer: Should the government invest in technologies that can reduce the

rate of global warming?

Explanation: Trust me

To demonstrate the tremendous acceleration of a top fuel dragracer, you attempt to run your car into the back of a dragster thatis "burning out" at the red light before the start of a race.(Burning out means spinning the tires at high speed to heat thetread and make the rubber sticky.)
You drive at a constant speed of v0 toward the stopped dragster, not slowingdown in the face of the imminent collision. The dragster driversees you coming but waits until the last instant to put down thehammer, accelerating from the starting line at constant
acceleration,a. Let the time at which thedragster starts to accelerate be t=0.
A) What is tmax, the longest time after thedragster begins to accelerate that you can possibly run into theback of the dragster if you continue at your initial velocity?
B) Assuming that the dragster has started at the last instantpossible (so your front bumper almost hits the rear of thedragster at t = tmax), find your distance from thedragster when he started. If you calculate positions on the way tothis solution,
choose coordinates so that the positionof the drag car is 0 at t = 0. Remember that you are solvingfor a distance (which is a magnitude, and can never be negative),not a position (which can be negative).

Answers

Answer:

a. 2v₀/a   b. 2v₀/a  

Explanation:

a. Since you are moving with a constant velocity v₀, the distance, s you cover in time = t max is s = v₀t.

Since the dragster starts from rest with an acceleration, a, using

s' = ut + 1/2at² where u = 0 and s' = distance moved by dragster

s' = 0t + 1/2at²

s' = 1/2at²

Since the distance moved by me and the dragster must be the same,

s = s'

v₀t. =  1/2at²

v₀t. - 1/2at² = 0

t(v₀ - 1/2at) = 0

t= 0 or v₀ - 1/2at = 0

t= 0 or v₀ = 1/2at

t= 0 or t = 2v₀/a  

So the maximum time tmax = 2v₀/a

b. Since the distance covered by me to meet the dragster is s = v₀t in time, t = tmax which is also my distance from the dragster when it started. So, my distance from the dragster when it started is s =  v₀(2v₀/a)

= 2v₀/a  

Hey swimmer swim 50 m in 20 seconds what is their average velocity

Answers

It’s 2.6 for the average velocity

Average Velocity = displacement / time

                             = 50 / 20

                             = 2.5 m/s

Displacement is the length from Start Point to End Point

Example

John drives from his house to North 3 m then he drives to the East 4 m

You can find displacement by the Pythagorean Theorem.

Displacement = [tex]\sqrt[]{3^{2} +4^{2} }[/tex] = 5 m

Pythagorean Theorem

(From Wikipedia)

...This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation"

[tex]a^{2} +b^{2} = c^{2}[/tex]

where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides. The theorem, whose history is the subject of much debate, is named for the ancient Greek thinker Pythagoras.

Difference between gravity and weight

Answers

Answer:

there diferent duh. next time use 69 not 79

Explanation:

Answer:

Weight is a quantity that you measure for a particular object, while gravity is a measure of how curved is the spacetime where that object is living.

Weight is measured is gram while gravity is measured in

newtons per kilogram.

Hope it helps :)

Solar panels work because photons from the sun give their energy to electrons in the panels (photoelectric effect). At noon on a typical day in San Diego, the power of the visible radiation from the sun is about 225 Watts per square meter. If you had solar panels on your roof covering an area of 2 meters by 6 meters, and the efficiency of the panel was 13% (meaning that 13 out of every 100 photons hitting the panel sent an electron down the wire), how many electrons per second would you get

Answers

Answer:

The number of electrons per second received by the panel is 2.19 x 10²¹ electrons/second

Explanation:

Given;

intensity of light, I = 225 W/m²

area of the solar panel, A = 2m x 6m = 12m²

Power of photons hitting the panel = 225 W/m² x 12m² = 2700 W

Power received by the electrons in the panel = 0.13 x 2700 W = 351 W

Energy of these electrons = 351 J/s

The number of electrons per second is given by;

[tex]= \frac{1 \ electron}{1.602*10^{-19} \ J} *\frac{351 \ J}{s} = 2.19*10^{21} \ electrons/second[/tex]

Therefore, the number of electrons per second received by the panel is 2.19 x 10²¹ electrons/second

Give some hypothetical examples where destroying evidence might leave more that could identify you.

Answers

Faced with evidence that seems to contradict a hoped-for-finding, people may object to the study’s methodology. This is a example of where destroying evidence might leave more that could identify you.

What best explains the results of the experiment?
In a lab, two identical lab carts (m = 1.0 kg) travel toward
each other, each with a speed of 2 m/s. The cars collide,
and one cart moves to the right with a speed of 3 m/s
and the other moves left with a speed of 2 m/s.
O This experiment did not occur in a closed system.
This proves the conservation of momentum since
PAPA
O An additional mass was added to one cart, which
explains the increase in speed.
O The increase in speed was due to the kinetic energy
from one cart transferring to the other.
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

A

Explanation:

This experiment did not occur in a closed system

The increase in speed was due to the kinetic energy from one cart transferring to the other. Option (c) is correct.

The system's overall momentum is conserved in this collision situation, but the system's kinetic energy may not be. Kinetic energy may be exchanged between the two carts during the collision. In this scenario, the cart moving 3 m/s to the right gets kinetic energy, whereas the cart moving 2 m/s to the left loses kinetic energy.

According to the principle of momentum conservation, the total amount of momentum before and after a collision is equal. Prior to the collision, the carts have identical masses and opposing velocities, thus their momenta cancel each other out. Even though the momentum is preserved after the impact, it is redistributed across the two carts, causing them to move at various speeds.

Hence, the increase in speed was due to the kinetic energy

from one cart transferring to the other. Option (c) is correct.

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Two cars are traveling at the same constant speed v. Car A is moving along a straight section of the road, while B is rounding a circular turn. Which statement is true about the acceleration of the cars? The acceleration of both cars is zero, since they are traveling at a constant speed. Car A is accelerating, but car B is not accelerating. Car A is not accelerating, but car B is accelerating. Both cars are accelerating.

Answers

Answer:

Car A is not accelerating, but car B is accelerating

Explanation:

Car A is not accelerating because , it is moving with uniform speed in a particular direction . Therefore its velocity too is not changing .

But car B is accelerating because , though its speed is uniform but its velocity is changing due to change in direction . On a circular path , direction of speed changes every moment . Therefore it has an acceleration called centripetal acceleration . Hence car B has acceleration.

A Dodge Charger goes speeding past Berkmar High School at 2:30 PM. If it travels 170 m in 5.0 s, what is the Charger's speed?
if you answer this THANK YOU

Answers

If you’re saying he traveled 170 meters in 5 seconds, the answer is 76.0558 mi/h

The charger's speed is 76.08 miles/h if the Dodge Charger goes speeding past Berkmar High School at 2:30 PM. If it travels 170 m in 5.0 s.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

A Dodge Charger goes speeding past Berkmar High School at 2:30 PM. If it travels 170 m in 5.0 s.

As we know,

Speed = distance/time

The unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

170 meters =  0.10563 miles

5 seconds = 0.0833 minutes

0.0833 minutes = 1.388×10⁻³ hours

Speed = 0.10563 miles/1.388×10⁻³ hours

Speed = 76.08 miles/h

Thus, the charger's speed is 76.08 miles/h if the Dodge Charger goes speeding past Berkmar High School at 2:30 PM. If it travels 170 m in 5.0 s.

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A dead body was found at 10pm. The internal boy temperature was 68 OF. What was the time of death?

Answers

I think the answer would be 13 hours

how much higher is 0.25 meters than 0.0254 meters (with real objects)

Answers

Answer:

0.2246 meters

Explanation:

.25-0.0254 meters = 0.2246 meters

Which of the following occurs when a liquid’s thermal energy is increased?
A. The particles break away from one another.
B. The particles give off energy.
C. The particles slow down.
D. The particles move closer together.

Answers

Answer:

I think the answer is c. The particles slow down.

Three runners are competing in a 120-m race. Each begins when the starting signal sounds and all three runners cross the finish line at the same time. The first runner moves at a constant speed of 6 m/s. The second runner sprints at a constant speed of 7.5 m/s, stops after 60 m to rest for 4 s, then runs the second half of the race at a constant speed of 7.5 m/s. The third runner dashes 60 m at a constant speed of 12 m/s but realizes they forgot their keys, so runs back to the starting line at a constant speed of 12 m/s, then turns around and runs straight to the finish line at a constant speed of 12 m/s. Which of the following statements about this situation is NOT true?
Assume all average velocities and average speeds are for the period from the starting signal to the moment the runners cross the finish line. You may select more than one option.
a. The average speed of the third runner is not equal to his average velocity
b. The average velocity of the third runner is zero.
c. The first runner's average velocity is equal to the second runner's average velocity
d. The second runner's average speed is less than 7.5 m/s.
e. All three runners have the same average velocity.

Answers

Answer:

The correct answer is B is false

Explanation:

This problem highlights the difference between vectors (speed) and scalars (speed)

average speed is defined by

      v = Δx / Δt

bold indicates vectors

the average speed is

        v= Δx / Δt

Let's calculate

first runner

         Δt = Δx / v₁

         Δt = 120/6

         Δt = 20 s

Second runner

          Δt₁ = dx1 / v2

          Δt₁ = 60 / 7.5

          Δt₁ = 8 s

          v₂ = 0

          Δt₂ = 4 s

          Δt₃ = dx₃ / v₂

          Δt₃ = 60 / 7.5

          Δt₃ = 8 s

the displacement is Dx = 60 + 60 = 120 m

time is t_total = Δt₁ + Δt₂ + Δt₃

 

the average speed is

                    v = Dx / Dt

                    v = 120 / (8 + 4 + 8)

                    v = 6 m / s

speed has the same value

third runner

           Δt₁ = 60/12

           Δt₁ = 5 s

       

Get back to the finish line

          Δt₂ = (-60) / (- 12)

          Δt₂ = 5 s

        Δt₃ = 120/12

        Δt₃ = 10 s

The displacement (vector) is

          dx = 60 -60 + 120

          dx = 120

Time is t_total =  Δt₁ + Δt₂ + Δt₃

         

veloicity is

           v = dx / t_total

            v = 120 / (5 + 5+ 10)

            v = 6 m / s

the radidity is

 the distance (scalar) traveled

          dx = 60 +60 + 120

          dx = 240 m

time t_total = dt1 + dt2 + dt3

         the speed

          v = 240 / (20)

          v = 12 m / s

with these results we can review the final statements

a) True The speed is twice the speed

b) False The velocity is 6 m / s

c) True the speeds from the three runners are equal

d) True the speeds of all runners are equal

The correct answer is B is false

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum rom 675 to 700 nm. 1. What is the mean of the wavelength distribution for this radiation? 2. What is the variance of the wavelength distribution for this radiation? 3. If instead, the wavelengths are uniformly distributed at integer nanometers from 75 to 100 nanometers, how do the mean and variance of the wavelength distribution compare to the original distribution? Briefly explain.

Answers

Answer: See explanation

Explanation:

1. What is the mean of the wavelength distribution for this radiation?

Mean = (a+b)/2

= (675 + 700)/2

= 1375/2

= 687.5

2. What is the variance of the wavelength distribution for this radiation?

Variance= {(b-a+1)^2 - 1}/12

= {(700 - 675 + 1)-1}^2/12

= (26^2)-1/12

= 676-1/12

= 675/12

= 56.25

3. If instead, the wavelengths are uniformly distributed at integer nanometers from 75 to 100 nanometers, how do the mean and variance of the wavelength distribution compare to the original distribution?

New Mean = (a+b)/2

= (75 + 200)/2

= 175/2

= 87.5

New Variance= {(b-a+1)^2 - 1}/12

= {(100 - 75 + 1)-1}^2/12

= (26^2)-1/12

= 676-1/12

= 675/12

= 56.25

From the solutions, while the mean differs, the variance (56.25) is thesame due to the fact that variance depends on interval length and the first and second question has same interval length.

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second one at a low angle timed to arrive before or at the same time as the first one. Assume both snowballs are thrown with a speed of 34.8 m/s. The first one is thrown at an angle of 70◦ with respect to the horizontal.
At what angle should the second snowball be thrown to arrive at the same point as the first?
Answer in units of degrees

Answers

Answer:

20 degrees

Explanation:

Given that,

Speeds of both snowballs is 34.8 m/s

The first one is thrown at an angle of 70◦ with respect to the horizontal. We need to find the angle at which should the second snowball be thrown to arrive at the same point as the first.

We need to find the angle at which the second snowball be thrown to arrive at the same point as the first. We can find the distances of both balls and equate them.

It means, range of both projectiles are equal. So,

[tex]\dfrac{u^2\sin2\theta_1}{g}=\dfrac{u^2\sin2\theta_2}{g}[/tex]

We have, [tex]\theta_1=70^{\circ}[/tex]

So,

[tex]\theta_2=\dfrac{1}{2}(\sin^{-1}(\sin2\theta_1))\\\\\theta_2=\dfrac{1}{2}(\sin^{-1}(\sin(140))\\\\\theta_2=20^{\circ}[/tex]

Hence, the second snowball is thrown at an angle of 20 degrees.

Define kinetic energy and thermal energy.

Answers

Answer:

kinetic energy means the energy of the body

hope it helps

Two cars A and B are 100m apart moving towards each other with
velocity 40m and 60m's respectively calculate the time the meet
each other and the time they are 100m apart in their opposite destinations. ​

Answers

Let car A's starting position be the origin, so that its position at time t is

A: x = (40 m/s) t

and car B has position at time t of

B: x = 100 m - (60 m/s) t

They meet when their positions are equal:

(40 m/s) t = 100 m - (60 m/s) t

(100 m/s) t = 100 m

t = (100 m) / (100 m/s) = 1 s

so the cars meet 1 second after they start moving.

They are 100 m apart when the difference in their positions is equal to 100 m:

(40 m/s) t - (100 m - (60 m/s) t) = 100 m

(subtract car B's position from car A's position because we take car A's direction to be positive)

(100 m/s) t = 200 m

t = (200 m) / (100 m/s) = 2 s

so the cars are 100 m apart after 2 seconds.

Mary pushed a box across the floor with 54N to the left and Doug helped her by exerting a force
of 75N to the left and another force of 20N was exerted on the box in the opposite direction,
what is the net force acting on the box? *

Help plzz

Answers

109n to the left. Was exerted

A projectile is launched at an angle into the air at velocity v and angle 0. Determine its vertical acceleration.
The answer choices are in the picture.

Answers

The acceleration due to gravity only points downward with magnitude g. The angle of the projectile doesn't matter.


What comes to mind when you think of the
word energy?
Think of all of the ways that you have heard
people use that word.

Answers

Good energy, Bad energy, Energy used to run, Energy drinks,

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

I think that bicycle B is C 6km/min

hope this helps <3


Which combination of vectors would form the resultant vector 6.5 m 18° N of E when added together?

Answers

r = (x, y) + (6.5*cos(18°)-x, 6.5*sin(18°)-1)

v1= (x, y), v2=(6.5*cos18°-1, 6.5*sin18°-1)

You can choose any real numbers for x and y. See attached for a little more depth.

Define physical laws​

Answers

Answer:

physical law (plural physical laws) A universal statement about the operation of nature, based on empirical observations of physical behavior, tested using scientific method.

Explanation:

By which method is heat transferred in a microwave oven? A.Conduction B.Convection C.Evaporation D.Radiation if you get it right i will give you a brainliest

Answers

D. Microwaves use radiation, hence the “wave” in microwave

noise pollution may cause partial hearing impairment true or false​

Answers

Answer: True

Explanation: When people pollute  it breaks down the earth, that is why icebergs are melting and animals are going extinct. Before we know it, people are gonna start losing hearing, and there brain will shut down. That is also why people should stop polluting.

Forces of 11.9 N north, 19.1 N east, and 14.4 N south are simultaneously applied to a 3.77 kg mass as it rests on a frictionless air table. What is the magnitude of its acceleration?

Answers

Force Vector = <19.1i+11.9j-14.4j>N
Force Vector = <19.1i-2.5j>N
Acceleration Vector =(Force Vector)/mass
Acceleration Vector =<19.1i-2.5j>N/3.77
Acceleration Vector =<5.0663i-0.6631j>m/s^2
|a| = (5.0663^2+(-0.6631)^2)^0.5
|a| = 5.11 (m/s^2)

Which of the following statements is correct about the force of gravity between two objects

Answers

Answer:

i dont know this but please answer before tomarrow please

Explanation:

thanks

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