What is the new period if the pendulum is taken to a planet that has 4 times the mass and 4 times the radius of earth

Answers

Answer 1

The new period of the pendulum when it is taken to the new planet is  double of its period on Earth.

Period of a pendulum

The period of a pendulum is given by the following formula;

[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]

where;

g is acceleration due to gravity of the pendulumL is length of the pendulumAcceleration due to gravity of the new planet

The acceleration due to gravity of the new planet is calculated as follows;

[tex]g_E = \frac{GM_E}{R_E^2} = 9.81 \ m/s^2 \\\\g(new \ planet) = \frac{G(4M_E)}{(4R_E)^2} = \frac{4GM_E}{16R_E^2} = \frac{GM_E}{4R_E^2} = \frac{9.81}{4} = 2.45 \ m/s^2[/tex]

New period of the pendulum

[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\T =\frac{2\pi \sqrt{l} }{\sqrt{g} } \\\\T_1\sqrt{g_1} = T_2\sqrt{g_2} \\\\T_E\sqrt{g_E} = T\sqrt{g} \\\\T = \frac{T_E\sqrt{g_E}}{\sqrt{g} } \\\\T = \frac{T_E \times \sqrt{9.81} }{\sqrt{2.45} } \\\\T = 2T_E[/tex]

Thus, the new period of the pendulum when it is taken to the new planet is double of its period on Earth.

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Related Questions

The value of gravitational pull on the moon is 1.6m/s/s. what is the weight of a 85kg astronaut on the moon?
weight=
mass=
gravity=
formula:
substitution:
answer:

Answers

Explanation:

Gravity = 1.6 m/s^2

Mass = 85 kg

Full infomation needed your question is incomplete and BTW fomula : G Mm

R^2

16. By how much leeway (both percentage and mass) would you have in the selection of the mass of the object in the previous problem if you did not wish the new period to be greater than 2.01 s or less than 1.99 s?

Please show all of your work.

Answers

Here is the solution for previous question

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}[/tex]

[tex]\\ \rm\rightarrowtail T\propto \sqrt{m}[/tex]

Hence

[tex]\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}[/tex]

[tex]\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}[/tex]

[tex]\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}[/tex]

[tex]\\ \rm\rightarrowtail m_2=0.888888888\dots[/tex]

So

from this

So it's infinite in terms of 8 so must be greter than one 8

We rounded it up for 3 decimals

0.889kg

So

Error range=[1.99,2.01]

∆Error=2.01-1.99=0.02

Very mere one

Now find percentage

[tex]\\ \rm\rightarrowtail \dfrac{0.02}{2}(100)=0.01(100)=1\%[/tex]

Mass should be lied in

0.01(0.889)=0.00889 kg

But for increase mass

it would be

0.00889-0.00500=0.00389kg

2 eggs cook in a frying pan, which is sitting over a gas burner. Is thermal energy being transferred from the metal pan to the eggs by radiation in this image? Why or why not?

Answers

Hope that helps have a good day though.

Answer:

No, the eggs are in direct contact with the metal pan, which is in direct contact with the gas flame, so this is conduction, not radiation

Reasons:
-Thermal energy is being transferred by conduction.

-Radiation transfers thermal energy by electromagnetic waves.

-Radiation does not transfer thermal energy by direct contact.

Radiation heat transfer is a process where heatwaves are emitted that may be absorbed, reflected, or transmitted through a colder "body". Sun heats the earth by electromagnetic waves. The sun does not come in physical contact with the Earth to transfer heat. (In my opinion, the Earth touching the sun would not be on my to-do list.)



Explanation:

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When a car is struck by lightning, the resulting electric field inside the car is.

Answers

Answer: When a car is struck by lightning, the resulting electric field inside the car is zero.

Explanation:

A light-year is a unit of measurement that would most appropriately be used to measure which distance?
a. Between two galaxies b. Between Earth and Jupiter c. Between Earth and the sun d. Between the moon and Earth

Answers

A light-year is a unit of measurement which is used to measure distance between the Earth and the sun.

What is Light year?

This is defined as the distance light travels in the time it takes the Earth to orbit the Sun.

It is also the distance a beam of light travels in a single earth year which is why option C was chosen as the most appropriate choice.

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What is the moons gravity

Answers

Answer:

The moons gravity is 1.62 m/s²

1. What is one way that light waves differ from sound waves?

A. Light waves all have the same frequency..

B. Light waves travel by oscillation.

C. Light waves do not require a medium to propagate.

D. Light waves transfer energy.

2. Which best explains why high frequency electromagnetic waves are more likely to cause harm to living things?(1 point)

A. As a wave's frequency increases, more energy is carried by the wave in a given time period.

B. As a wave's frequency increases, less energy is carried by the wave in a given time period.

C. As a wave's frequency increases, a constant energy is carried by the wave in a given time period.

D. As a wave's frequency increases, the energy carried by the wave in a given time period is equal to zero.

3. How do the frequencies and the speeds of yellow light and blue light compare?

Answers

One way Light waves differ from sound waves it that it does not require a medium to propagate.

High frequency electromagnetic waves are more likely to cause harm because as a wave's frequency increases, more energy is carried by the wave in a given time period.

The frequency of yellow light is greater than that of blue light.

What is a Wave?

This is defined as a propagation of disturbances from place to place in a regular and organized way.

The answers provided above are therefore the most appropriate choices in this scenario.

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Answer: Light waves do not require a medium to propagate and As a wave's frequency increases, more energy is carried by the wave in a given time period.

Explanation:

Why would the force of gravity change between the earth and sun when the mass of the earth increased

Answers

Answer:

Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. So as the mass of either object increases, the force of gravitational attraction between them also increases.

Who developed the principle of whenever 2 objects come into contact with one another, materials are exchanged between them?.

Answers

Answer:

Edmond Locard

Explanation:

Hope this helps :)

The earliest stage of a star’s life before it begins to undergo fusion is known as:

Answers

Answer:

A protostar is the earliest stage of a star's life. A star is born when the gas and dust from a nebula become so hot that nuclear fusion starts.

The origin of star is called nebula. The earliest stage of a star’s life before it begins to undergo fusion is known as a protostar.

What is the earlier stage of star ?

Every star begins from nebula. A nebula is a huge gas and dust cloud. Some of the gas and dust in a nebula can be drawn together by gravity. The cloud's contraction is then described as a protostar. The first stage of a star's life is called a protostar.

As the gas and dust from a nebula heat up to a point where nuclear fusion begins, a star is created. A star is referred to as a main sequence star once it has "switched on". A main sequence star turns into a red giant or a red super giant when its hydrogen fuel runs exhausted.

An exploding red super massive star is possible. It is referred to be a supernova. After the star explodes, some of the ingredients from the star are left behind. Hence, the earlier stage of a star before fusion starts is called a protostar.

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Hello people ~
Sound is a kind of
(a) work
(b) energy
(c) force
(d) pressure

Answers

Answer:

B. Energy

Explanation:

Sound is a kind of energy. In physics, sound is seen as anenergy that is generated through vibrations

Answer:

Energy

Explanation:

Sound is generated through the collison of atoms or particles .It travels through air,water,solid surfaces .Sound has its speed 344m/s in air.

What does the text mean when it says “naming an elements is like creating history

Answers

Answer: When you name an element, it's usually because the element is newly discovered. So by naming an element you are creating something that will last throughout history.

Explanation:

1. A 30-kg child is spinning horizontally in a ride with a

centripetal acceleration of 10 m/s/s. How many newtons

of centripetal force are acting on her?

Answers

Answer:

300newtons of centripetal force

Explanation:

Force is mathematically expressed as mass×acceleration due to gravity

Mass of child equals 30kg

Acceleration due to gravity equals 10m/s²

Force is unknown so we restate formula & fix in the quantities

∴Force equals mass×acceleration due to gravity

(representing force by f,mass by m & acceleration...gravity by g)not always necessary

So f equals m×g(fix in values)

f equals 30kg×10m/s²

f equals 300newtons

∴The centripetal force acting on her is 300newtons

The term group polarization refers to the tendency for.

Answers

Polarization refers to the tendency for acquiring specific orientation by the oscillation.

What is polarization?

Polarization is a property that specifies the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular as compared to other that have parallel.

So we can conclude that Polarization refers to the tendency for acquiring specific orientation by the oscillation.

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A coffee filter of mass 1.3 grams dropped from a height of 3 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy Kair did the air molecules gain from the falling coffee filter

Answers

Answer: .0380575J

Explanation:

The coffee filter originally only had potential energy, which can be found by:

PE = m * g * h → PE = .0013 * 9.8 * 3 = .03822 J

*Note the mass must be in kg!!!

All of this energy should be converted to kinetic energy, but the air molecules take some of the energy; the energy they gain can be found by finding how much energy the filter has at the bottom of its fall, and subtracting this from the original energy to see how much was lost;

All of the energy at the bottom equals kinetic energy, which can be found by:

KE = 1/2 * m * v^2 → KE = 1/2 * .0013 * .5^2 = .0001625 J

Thus, the air gained .03822 - .0001625 = .0380575J :)

In your own words describe the physiological significance of the fev1/fvc ratio

Answers

Answer:

if you doctor suspect that you have COPD , they will calculate your fev1/fvc ratio . this represent the percentage of your lung capacity that you can explain in one second. the higher your percentage , the larger your lung capacity and the healthier your lungs

The ratio  [tex]\frac{FEV1}{FVC}[/tex]  indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway.

What is lung volume?

The volume of air in the lungs at different stages of the respiratory cycle is referred to as lung volumes and lung capacities. An adult human male's entire lung capacity is around 6 liters of air.

The ratio  [tex]\frac{FEV1}{FVC}[/tex]  indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway. As a result, the lower the resistance, the broader the airway becomes.

Hence the lower the resistance, the broader the airway becomes.

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Help please. Will give brainliest

Answers

Answer:

Your answer would be:
B.) Both carry energy in the form of vibration



Explanation:

Have a great rest of your day
#TheWizzer

easy one here pls help thanks so much

Answers

The answer is B. Nutrients.
the answer is B. Nutrients

What is the 3rd largest planet in the solar system?

Answers

Answer:

Uranus

Explanation:

Your welcome

A planet is a celestial body. The third-largest planet in the solar system is Uranus.

What is a planet?

A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.

A planet is a celestial body. The third-largest planet in the solar system is Uranus.

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After a massive-star supernova, what is left behind?.

Answers

Answer: A Nebula is left behind. A spectacular explosion in which a star ejects most of its mass in a violently expanding cloud of debris.

Hope this helps!

The free-body diagram below represents all the forces acting on an object. What is the net force acting on this object?





300 N right

100 N down

0 N up

200 N right

Answers

Answer:

200 N Right

Explanation:

The 50 up and 50 down  balance or 'cancel' each other

   then you only have the 200 N to the right

how do the properties of waves correspond with observations of waves?

Answers

Answer:

no sabo por q no mi entender

What is the average angular speed of the grindstone 10 rad/s

Answers

Answer:

avg w= (delta theta)/delta T = (10 rad/s - 8 rad/s) / (4 s-0) = .5 rad/s Vt= r * avg w = 4m * .5 rad/s = 2 rad/s

which thermometer one containing mercury or one containing alcohol, could be used in a polar region where the temperature reaches below -40 degrees?

Answers

Answer. Alcohol thermometer is much more suitable to be used in polar regions. This is because alcohol thermometer has a low

What is current of 12 ohm? help me pleasee​

Answers

Answer:

the current of 12 ohm is 2Amps

Three 20W resistors are connected in series across a 120 V generator. What is the total resistance of the circuit and what current flows in the circuit?

Answers

The total resistance and current flowing through the circuit is equal to 60 Ohms and 2 Amperes respectively.

Given the following data:

Resistors = 20 Ohms.

Voltage = 120 Volts.

How to determine the total resistance.

Since the three resistors are connected in series, we would calculate their total resistance by adding them up as follows:

RT = R1 + R2 + R3

RT = 20 + 20 + 20

RT = 60 Ohms.

Next, we would determine the current that is flowing through the circuit by applying Ohm's law.

From Ohm's law, we have:

V = IR

I = V/R

I = 120/60

I = 2 Amperes.

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Hello people ~
Sound cannot travel through
(a) air
(b) water
(c) air
(d) vacuum​

Answers

Answer:

Vaccum

Explanation:

Sound travels through the particles of different matter In vaccum there is no air so no matter and so no particles .So sound can't travel through vaccum.

You can test it .

Take a speaker and keep it inside a bottle ,close it .You won't hear any sound

Control rods are used to slow down the reaction in the reactor core when the core becomes too hot. please select the best answer from the choices provided t f

Answers

In nuclear reactors, control rods are used because reactions that occur in a nuclear reactor are highly exothermic in nature.

What is a nuclear reactor?

A nuclear reactor is an apparatus or structure in which  radioactive material can be made to undergo a commanded, self-sufficient nuclear reaction with the resultant release of energy.

Therefore, when these control rods are infused in a nuclear reactor, than it absorbs the neutrons and helps to control the chain reaction. As a result, the rate of chain reaction gets in control.

Thus, we can conclude that the statement control rods are used to slow down the reaction in the reactor core when the core becomes too hot is a true statement.

Thus In nuclear reactors, control rods are used because reactions that occur in a nuclear reactor are highly exothermic in nature.

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Answer:

TRUE ( T )

Explanation:

Just took the test on edge

Thermal energy is transferred between objects when they have?
A. the same mass
B. different temperatures
C. the same kinetic energy

Answers

The answer is B I had to answer this question one time

Answer:

B. different temperatures

Explanation:

Thats how they transfer energy because if one object is hotter then the other, the heat can still be transfer to the other object and make their temperatures the same

help me with this one aswell, too confused and tired for this

Answers

D all of the above applies to the functions of the nervous system.
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