Consider a simple pendulum that consists of a massless 2.00-meter length of rope attached to a 5.00-kg mass at one end. What happens to the frequency of oscillation of the pendulum if we double the length of the rope

Answers

Answer 1

Answer:

If we double the length we will have:

[tex]f'=\frac{f}{\sqrt{2}}[/tex]

Explanation:

The equation of the angular frequency of a pendulum is given by:

[tex]\omega=\sqrt{\frac{g}{L}}[/tex]

Where:

g is the gravityL is the length of the pendulum

By definition the period is:

[tex]T=\frac{2\pi}{\omega}[/tex]

And frequency is 1 over the frequency T:

[tex]f=\frac{1}{T}[/tex]

[tex]f=\frac{1}{2\pi}\sqrt{\frac{g}{L}}[/tex]

Now, if we double the length we will have:

[tex]f'=\frac{1}{2\pi}\sqrt{\frac{g}{2L}}[/tex]

[tex]f'=\frac{1}{2\pi\sqrt{2}}\sqrt{\frac{g}{L}}[/tex]

[tex]f'=\frac{f}{\sqrt{2}}[/tex]

Therefore, the new frequency is the old frequency over √2.

I hope it helps you!


Related Questions

Question /
Which object is shown below?
A. Convex mirror
B. Convex lens
C. Concave lens
D. Concave mirror
SLIDNAT

Answers

The answer is A or D


If a force of 20kN acts on a circular rod of diameter 10mm, calculate the stress in the
rod.

Answers

The stress in the  rod is equal to [tex]2.55 \times 10^8\;N/m[/tex]

Given the following data:

Force = 20 kN = 20,000 NewtonDiameter = 10 mm to m = 0.01 meter

To calculate the stress in the  rod:

First of all, we would determine the area of the rod by using this formula:

[tex]Area = \frac{\pi d^2}{4} \\\\Area = \frac{3.142 \times 0.01^2}{4}[/tex]

Area = 0.00007855 meter.

Mathematically, stress is given by this formula:

[tex]Stress = \frac{Force}{Area}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Stress = \frac{20000}{0.00007855} \\\\Stress = 2.55 \times 10^8\;N/m[/tex]

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8.
A
2.0 m
A 1.0 kg box slides without friction around the
loop-the-loop apparatus as shown in the
diagram. If the object starts from rest at point A,
and the radius of the loop is 0.75 m, what is the
speed of the box at point B?

Answers

Answer:

6.26 m/s

Explanation:

From the given information:

Using the conservation of Energy;

M.E at A =M.E at B

[tex]\dfrac{1}{2}mv_A^2 + mgh _A = \dfrac{1}{2}mv_B^2 + mgh_B[/tex]

Replacing the values given in the equation:

[tex](1) (9.8) (2 \ m) +\dfrac{1}{2}(0)^2 = 1 \times 9.8 \times 0 + \dfrac{1}{2}(1) \times v_B^2 \\\\ 19.6 + 0 = 0 + 0.5v_B^2\\ \\ v_B^2 = \dfrac{19.6}{0.5} \\ \\ v_B^2 = 39,2 \\ \\ v_B = \sqrt{39.2} \\ \\ \mathbf{v_B = 6.26 \ m/s}[/tex]

Helppp question in photo

Answers

Answer:

Its more likely to be wave D.

Explanation:

Light waves for violet are closer together than all other colors.

Which combination of alleles would produce a recessive trait?

TT
tt
or Tt

Answers

it would be tt because the lower case has to be in the beginning in order to be recessive

Please answer all three answers

Answers

Answer:

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

From the above, we can deduce the following;

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

Why is it that when riding in a car, you don't feel like you're moving?

Answers

This may shock you:

We NEVER feel speed, velocity, or motion, as long as it's constant.

We only feel CHANGES in speed, velocity, or motion.

That means speeding up, slowing down, or changing direction.

As long as we're moving in a straight line at a constant speed, we don't feel anything.

In the winter activity of tubing, riders slide down snow covered slopes while sitting on large inflated rubber tubes. To get to the top of the slope, a 2.50 kg tube, is pulled at a constant speed by a tow rope that maintains a constant tension of 12.0 N along the direction of the slope. How much thermal energy is created in the slope and the tube during the ascent of a 6.31-m-high, 52.3-m-long slope, in Joule

Answers

Answer:

≈ 473 J

Explanation:

m ( mass ) = 2.5 kg

T ( tension ) = 12 N

v = constant

h ( height ) = 6.31 m

d ( diameter ) = 52.3 m

Determine how much thermal energy is created

considering that external force acts on the system

ΔE = W    and this can be rewritten as

mgh + ΔEth = W --------- ( 1 )

where ΔEth  = amount of thermal energy created

also ; W = Fd cos ∅,  hence Work done by Tension force (w) = Td cos 0 = Td

back to equation ( 1 )

mgh + ΔEth = Td

ΔEth  = Td - mgh

         = ( 12 * 52.3 ) - ( 2.5 * 9.8 * 6.31 )

         ≈ 473 J

⦁ A certain resistor is required to dissipate 0.25 W, what standard rating should be used?

Answers

Answer:A

Explanation:

The diagram represents two charges, q1 and q2 separated by a distanced "d" which change would produce the greatest increase in the electrical force between the two charges?
between the two charges?

Answers

Answer:

The diagram represents two charges, q1 and q2, separated by a distance d. Which change would produce the greatest increase in the electrical force between the two charges? *

Explanation:

doubling charge q1, only

Doubling the charge q would produce the greatest increase in the electrical force between the two charges.

The value of the electrostatic force of interaction between two point charges is directly proportional to the scalar multiplication of the charges and inversely proportional to the square of the distance between them.

How would you define an Electrical force?

The repulsive or attractive interaction between any two charged bodies is called as an electric force. Similar to any force, its impact and effects on the given body are described by Newton’s laws of motion. The electric force is among the list of other forces that exert over objects.

Learn more about Electric force:

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3. Jose and Luke raced as they climbed to the top of the bleachers. Jose reached the top in 12.6 s and
Luke reached the top in 13.3 s. Jose and Luke have the same mass,
Who did more work?
How do you know?
Who had more power?
How do you know?

Answers

Answer:

jose

Explanation:

Jose run faster and did more work

because the time Jose took to accomplish the activity is less than Luke

both

both have same mass

The work done by both Jose and Luke is same because the change in potential energy is same.

The power of Jose  is greater than than of Luke  because Jose takes less time to do the same work.

What is power?

Power is defined in physics as the amount of energy transferred or converted per unit time. The watt is the unit of power in the International System of Units, equal to one joule per second. Power is sometimes referred to as activity in older works. A scalar quantity is power.

Let the mass of each of them is m.

Hence, work done by each of them = mgh ( same for both of them)

As Jose reached the top in 12.6 s and Luke reached the top in 13.3 s.

Power of Jose  = mgh/12.6

Power of Luck = mgh/13.3

Hence, Power of Jose is greater than Power of Luck.

Learn more about power here:

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6.
3. A 7.6 kg object is pulled 6.0 m at a constant
velocity of 5.0 m/s along a horizontal surface by
a force of 2.0 N. What is the work done on the
object to overcome friction?

Answers

Answer:

12 J

Explanation:

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

Mass (m) = 7.6 kg

Distance (d) = 6 m

Velocity (v) = 5 m/s

Force (F) = 2 N

Workdone (Wd) =.?

Workdone can be defined as the product of force and distance moved in the direction of the force. Mathematically, it is expressed as:

Workdone = Force × distance

Wd = F × d

With the above formula, we can obtain the workdone as follow:

Distance (d) = 6 m

Force (F) = 2 N

Workdone (Wd) =.?

Wd = F × d

Wd = 2 × 6

Wd = 12 J

Thus, the workdone is 12 J

The unit called the____
is defined based on the amount of
work a horse can do in 1 minute.

Answers

hp (horsepower) is answer

The unit called horsepower is defined based on the amount of work a horse can do in 1 minute.

What is horsepower?

James Watt used the horsepower unit for the first time in 1782. According to the account, James Watt used a pony to charge coal from the mines. According to the narrative, he needed a unit to measure the force of one of these animals.

He discovers that they can move 22.000 lbs per minute and decides to (arbitrarily) boost this metric by 50%. Having been the unit 33.000 lb/ft per minute, horsepower is an engine's output horsepower rating, whereas brake horsepower is an engine's input brake horsepower.

Brake horsepower measures an engine's power without accounting for power losses, whereas HP accounts for power losses. Horsepower of the brakes

Therefore, the horsepower unit is defined by the amount of work a horse can do in one minute.

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In Figure (a), both batteries have em - 1.20 V and the external resistance R is a variable resistor. Figure (6) gives the electric potentials V between the terminals of each battery as functions of
Curve 1 corresponds to battery 1, and curve 2 corresponds to battery 2. The horizontal scale is set by R, -0.500 . What is the internal resistance of (a) battery 1 and (b) battery 2?
0.60
V(V)
0
-0.350
(
R(0)
(6)

Answers

Answer:

i know da way ese'

Explanation:

If someone replenishes the tree population in a forest ecosystem, how
might this affect the producers already living there?*

Answers

Answer: Increase in competition for abiotic factors.

Explanation: Resource availability is one of the main factors determining the ecological dynamics of populations or species. Fluctuations in resource availability can increase or decrease the intensity of resource competition. Resource availability and competition can also cause evolutionary changes in life-history traits

What is the similarity between pushing and lifting? What is the difference?

Answers

Answer:

the similarity is that hands are applied and force

A 10.0 N package of whole wheat flour is suddenly placed on the pan of a scale such as you find in grocery stores. The pan is supported from below by a vertical spring of force constant 395 N/m. If the pan has negligible weight, find the maximum distance the spring will be compressed if no energy is dissipated by friction.

Answers

Answer:

0.025 m

Explanation:

From the question,

Applying Hook's law

F = ke................... Equation 1

Where F = Force, k = spring constant of the scale, e = maximum distance at which the spring will compress.

make e the subject of the equation

e = F/k....................... Equation 2

Given: F = 10 N, e = 395 N/m

Substitute these values into equation 2

e = 10/395

e = 0.025 m

why do dzongs have broader base?​

Answers

Answer:

The base of taller buildings are made broader because it reduces the pressure exerted on the ground so that they do not sink in due to the extremely high pressure of the building.

Explanation:

hope thiss helpss~!

A broad base is used to engage or recruit a diverse range of individuals to broad-based environmentalism.

Broader base:

The broader base is a base of taller structures was built wider to reduce the pressure placed on the floor.It preventing the ground from sinking due to the house's extremely high tension.This structures have a wider base because the pressure is inversely proportional to area.That's why the increasing the area reduces the pressure or we can that the structure would not fall apart.

Find out more about the broader base here:

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A gun whose mass is 0.8 kg fires a bullet
whose mass is 0.016 kg with a velocity of
700 ms Calculate the velocity of the gun's
recoil​

Answers

Answer:

14m/s

Explanation:

As per Newton's third law, the momentum of the bullet firing will equal the momentum of the guns recoil:

[tex]m_{g}v_{g} = m_{b}v_{b}[/tex]

(.8)v=(.016)(700)

v=11.2/0.8

v=14m/s

During a soccer game, a player grabs and holds an opponent's shirt outside of the penalty box. After the foul is called, what kick is awarded to put the ball back into play?

a
Penalty Kick
b
Indirect Free Kick
c
Kickoff
d
Direct Free Kick

Answers

D. Direct Free Kick

When putting the ball on the tee you want half of the golf ball to be above the club be below the club be in front of the club be behind the club​

will put brainlest

Answers

5)-5 that would be 100% correct

A golf ball is a unique ball made specifically for the game of golf.

What is Gulf ball?

A golf ball must adhere to specific velocity, distance, and symmetry requirements as well as have a mass of no more than 1.620 oz (45.9 g), a diameter of no less than 1.680 inches (42.7 mm), and no more than 1.620 oz (45.9 g) in total.  

Similar to golf clubs, golf balls must pass testing and approval by The R&A and the United States Golf Association before they can be used in competitions. 

Early in the 20th century, it was discovered that dotting the ball gave the player even more control over the trajectory, flight, and spin of the ball.

Therefore, A golf ball is a unique ball made specifically for the game of golf.

To learn more about Golf ball, refer to the link:

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The concept of photons applies to which regions of the electromagnetic spectrum?
A. visible light only
B. infrared light, visible light, and UV light only
C. X-rays and gamma rays only
D. all regions of the spectrum

Answers

Answer:

D. all regions of the spectrum

Explanation:

I did some research ; )

A girl of weight 500 N climbs on top of a 2.0 m high wall. By how much does her g.p.a increase?

Answers

Answer:

By 1000 joules

Explanation:

Given

[tex]Weight = 500N[/tex]

[tex]Height = 2.0m[/tex]

Required

By how much does her GPA increases

To do this, we simply calculate the potential energy.

[tex]GPE = mgh[/tex]

Where

[tex]mg = Weight = 500N[/tex]

At the ground level, the height is 0

i.e. [tex]h = 0[/tex]

So:

[tex]GPE = 500N * 0 = 0[/tex]

At:

[tex]h = Height = 2.0m[/tex]

So, we have:

[tex]GPE = mgh[/tex]

[tex]GPE = 500N * 2.0m[/tex]

[tex]GPE = 1000J[/tex]

Calculate the difference

[tex]\triangle GPE = 1000J - 0J[/tex]

[tex]\triangle GPE = 1000J[/tex]

Hence, it increases by 1000 joules

A man stands by a railway track.
A train travelling at 40 m/s takes 2.0 s to pass the man.
What is the length of the train?
40 m
D
80m
A 20m
B 38 m

Answers

Answer:

length of train is 80m

Explanation:

40*2

A tin can sinks when it is heated with a lid closed and then put cold water in it. why?​

Answers

Answer:
When the tin is heated, the air within and water molecules expand. As the volume expands, so does the tin container up to a limit.

IM BEGGING ILL GIVE BRAINLEST PLEASEEEEEEE HELP ME Distance and amount of charge are factors that determine which of the
following quantities?
A. Electrostatic force
B. Electric potential
C. Electric potential energy
D. All of the above

Answers

Explanation:

Distance and amount of charge are factors that determine which of the

following quantities?

D. All of the above

if you use a 1500 watt sound system for 5 hours a day , calculate the amount of electricity used​

Answers

Answer:

Our appliance and electronic energy use calculator allows you to estimate your ... using the formulas provided below; Installing a whole house energy monitoring system. ... energy consumption a few watt-hours, and you can use a monitor to estimate those too. ... Estimate the number of hours per day an appliance runs.

Explanation:


which describes the attraction of one water molecule toward another

Answers

Hi,
It's called hydrogen bonds.

Hope this helped!

PLEASE HELPPPPPP <333​

Answers

Answer:

Explanation:

The answer is c. I am very sure

Answer:

i think its b

Explanation:

im not very sure

how did we compensate for friction ?​

Answers

now the force of gravity pulling down the slope is greater than frictional force. At this point the runaway has bern friction compesated. This means that the gravitational force acting to pull the trolley fowards is opposed by frictional force acting against the moving object
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