Saturn is moving with uniform angular speed of 2πf along the circumference of it's orbit around the sun with radius R, having centre O. At any time, the angular position of Saturn is (2πf)t and the displacement in SHM at that time t is given by x(t)=Rcos(2πf)t. Find it's acceleration.​

Answers

Answer 1

Answer:Sir haymo knows

Explanation:

he gave as homework

Answer 2

The acceleration of the Saturn is - (2πf)²x(t).

What is Simple harmonic motion?

A motion in which the restoring force is directly proportional to the body's displacement from its mean position is known as a simple harmonic motion, or SHM. This restoring force always moves in the direction of the mean position. A particle moving in simple harmonic motion accelerates as a(t) = - ω² x (t). Here, ω denotes the particle's angular velocity.

The acceleration of the particle at any position is directly proportional to the displacement from the mean position in simple harmonic motion, which is an oscillatory motion.

Given that:

at any time, the angular position of Saturn is (2πf)t.

the displacement in SHM at that time t is given by x(t)=R cos(2πf)t.

Hence, speed  in SHM at that time t is given by

[tex]v(t) = \frac{dx(t)}{dt} =R \frac{d }{dt} cos(2\pi f)t = -(2\pi f) sin(2\pi f)t[/tex]

it's acceleration is

[tex]a(t) = \frac{dv(t)}{dt} =-(2\pi f) R \frac{d }{dt} sin(2\pi f)t = -(2\pi f)^2 Rcos(2\pi f)t = -(2\pi f)^2 x(t)[/tex]

hence, at any time t, the acceleration of the Saturn is - (2πf)²x(t).

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Related Questions

Estimate humanity’s current consumption of energy in one day (in Joule).

Answers

Based on data from world energy consumption, the estimated humanity’s current consumption of energy in one day is above 208 million joules per day.

What is energy consumption?

Energy is the ability to do work. Therefore, energy consumption refers to the amount of energy used to do work.

Humans need energy for various purposes such as;

lightingheating operation of machinesfeeding, etc.

Due to rapid growth on population as well as technology, the human energy consumption is on the increase.

In 2020, the world primary energy consumption was 71,4 GJ per person for a world population of about 7.7 billion people.

Therefore, the estimated humanity’s current consumption of energy in one day is above 208 million joules per day.

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Jeff's body contains about 5.12 L of blood that has a density of 1060 kg/m3. Approximately 45.0% (by mass) of the blood is cells and the rest is plasma. The density of blood cells is approximately 1125 kg/m3, and about 1% of the cells are white blood cells, the rest being red blood cells. The red blood cells are about 7.50m across (modeled as spheres).

What is the mass blood of the blood in Jeff's body?

blood=

Approximately how many blood cells (of both types) are in Jeff's blood?

Answers

Answer:Answer:

a) The mass of the blood is 5.788 kg

b) The total cells is 1.041x10¹³cells

Explanation:

Given:

V = volume of blood = 5.46 L = 0.00546 m³

ρ = density of blood = 1060 kg/m³

a) The mass of the blood is equal:

b) mc = mass of cells = 45% of mass of blood

mc = 0.45 * 5.788 = 2.6046 kg

ρc = density of cells = 1125kg/m³

The volume of the cells:

Vwc = volume of white blood cells = 1% of volume of the cells

Vwc = 0.01 * 0.0023 = 2.3x10⁻⁵m³

The radius of the cell is:

The volume of a single cell is:

The number of the red blood cells is:

The number of the white blood cells is:

The total cells is:

Tc = 1.031x10¹³ + 1.041x10¹¹ = 1.041x10¹³cells

Explanation: I just copied from another answer

The speed of light is 300,000,000 m/s, what is the frequency of an x-ray that has a wavelength of .1 m? ____Hz?

Answers

Answer:

Explanation:

The speed of light is 300,000,000 m/s. Shat is the frequency of microwaves with a wavelength of 0.01 meter

Seawater is full of moving molecules that possess kinetic energy. Could we extract some of this energy

Answers

I don’t think soooooo

what is the time right now and why.

Answers

Answer:

Its 11:21 AM where i am

Explanation:

I d k cuz the sun is up? XD i d k

ASAP HELPPPPPP POP PLEASE​

Answers

Answer:

The answer is in the attachment

Explanation:

!!PLEASE PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

A current-carrying gold wire has diameter 0.88 mm. The electric field in the wire is0.55 V/m. (Assume the resistivity ofgold is 2.44 10-8 Ω · m.)
(a) What is the current carried by thewire?
1 A
(b) What is the potential difference between two points in the wire6.3 m apart?
2 V
(c) What is the resistance of a 6.3 mlength of the same wire?
3 Ω

Answers

Hi there!

a)

We know that the resistance of the wire is equivalent to:
[tex]R = \frac{\rho L}{A}[/tex]

R = Resistance (Ω)
ρ = Resistivity (Ωm)

L = Length (m)

A = Cross-sectional area (m²)

We can relate the voltage to an electric field by:
[tex]V = Ed \\\\V = El[/tex]

V = Potential Difference (V)
E = Electric Field (V/m)

l = Length of wire (m)

And Ohm's Law:
[tex]V =iR[/tex]

i = Current (A)

V = Potential Difference (V)

R = Resistance (Ω)

We do not know the length, so we can solve using the above relationships.

[tex]V = iR\\\\V = i\frac{\rho L}{A}\\\\\frac{V}{L} = E = i\frac{\rho}{A}\\\\i = \frac{EA}{\rho} = \frac{.55 \times \pi (0.00044^2)}{(2.44 \times 10^{-8})}} = \boxed{13.71 A}[/tex]

b)

We know that V = Ed (Electric field × distance), so:

[tex]V = 0.55 \times 6.3 = \boxed{3.465 V}[/tex]

c)

Calculate the resistance using the above equation.

[tex]R = \frac{\rho L}{A}\\\\R = \frac{(2.44\times 10^{-8})(6.3)}{\pi(0.044^2)} = \boxed{2.527 \times 10^{-5} \Omega}[/tex]

One point charge +Q is placed at the center of a square, and a second point charge -Q is placed at the upper-left corner of the square. It is observed that an electrostatic force of magnitude 2.0 N acts on the positive charge at the center. Now a third charge -Q is placed at the lower-left corner of the square, as shown in the figure. What is the magnitude of the net force that acts on the center charge now? The figure shows one positive charge labeled + Q placed at the center of a square and two negative charges labeled -Q placed at the upper left and the bottom left corners of the square.
a) 0.0 N
b) 2.8 N
c) 5.3 N
d) 4.0 N

Answers

Answer:

One should draw a diagram showing the placement of the charges.

When both charges of -Q are placed there will be no force in the vertical direction because of cancellation of forces.

A line from one corner of the square to the other makes an angle of 45 degrees,

2 cos 45 deg will be the force due to one charge.

2 * .707 = 1.41 N

So for both charges the force is (horizontal, vertical is zero)

2 * 1.41 = 2.82 N

b) is correct

The magnitude of the net force that acts on the center charge will be 2.82 N.Option B is correct.

what is the charge?

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.

Charges that are similar repel each other, whereas charges that are dissimilar attract each other. The term "neutral" refers to an item that has no net charge.

Case 1 ;

One point charge +Q is placed at the center of a square, and a second point charge -Q is placed at the upper-left corner of the square.

When both charges of -Q are placed there will be no force in the vertical direction because of the cancellation of forces.

A line from one corner of the square to the other makes an angle of 45 degrees,

The force due to the one charge at the angle of the 45° will be;

[tex]\rm F_1 = 2 \times cos 45^0 \\\\ \rm F_1 =1.41 \ N[/tex]

For both the charge the net force is the double the force due to the one charge;

[tex]\rm F = 2 \times F_1 \\\\ \rm F = 2 \times 1.41 \\\\ F=2.82 \ N[/tex]

The magnitude of the net force that acts on the center charge will be 2.82 N.

Hence option B is correct.

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water falls off a cliff of height 20m at a rate of 50kg per second
calculate the mass of water that falls in 1 minute
calculate the gravitational potential energy lost by the water in 1 minute

Answers

Answer:

M = 50 kg / sec * 60 sec = 3000 kg       water that falls

PE = M g h     initial potential energy of water

PE = 3000 kg * 9.8 m/s^2 * 20 m = 588,000 joules of energy lost

List two similarities between combustion and fission

Answers

Answer:

Explanation:

Bot produce heat    both produce end products that are different than the beginning products

give name of any two devices used to measure the amount of matter contained in a container ​

Answers

Answer:

Measuring cup and graduated cylinder

Explanation:

These tools measure the volume of liquid matter. Measuring cups are used frequently in cooking and provide measurements generally in ounces and grams. A graduated cylinder is used in laboratories and in research and allows for a greater degree of precision in measuring the volume.

Measuring jar, scale, vernier calipers are used to measure the volume of an object.

Choose all the answers that apply.
Erosion can be reduced by:

1. contour plowing
2. putting up fences
3. planting trees
4. removing topsoil

Answers

Answer:

The answer will be #3 and #4

Explanation:

Because the more the organisms live in the topsoil the weaker the soil would get and most likely that would happen and planting trees stop soil erosion because when the trees absorb water underground it makes the soil firm and tight just like the (abnormal) soil you would see near few feet near most trees.

2. Anna mixes 200 g of hot coffee at 90 °C with 50 g of cold water at 3 °C to bring down the temperature of the coffee. Explain what happens to the mixture using kinetic molecular model. (3 marks)​

Answers

The average kinetic energy of the molecules of the coffee will decrease and the speed of the individual molecules will also reduce.

Temperature of resultant mixture

The temperature of the resultant mixture will be higher than the cold water temperature and lower than the hot coffee temperature.

Based on the decrease of the resulting temperature (equilibrium temperature) of the mixture, the average kinetic energy of the molecules of the coffee will decrease and the speed of the individual molecules of the hot coffee mixture will reduce, leading to a resultant cold mixture of coffee.

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4. What is the coefficient of x in the expression x + 3y + 2?
A. 0
B. 1
C. 2
D. 3

Answers

Answer:

B) 1

Explanation:

There is not a coefficient before x, so automatically the answer is 1

Answer :-

Hi there!

[tex]\:\mathsf\red{Your\:answer\:is\:B.\:(1)}[/tex]

Explantion :-

We know

Coefficient is the number or value which should be putten in front of the variable given.

Here,

'x' is the variable. Before x, there is no number mentioned. So the number would be 1.

[tex]\:\sf\purple{Hope\:this\:helps\:you!\::)}[/tex]

How many electrons are in -2.8µC of excess electric charge?

Answers

The number of electrons present in -2.8µC of excess electric charge is 1.75 × 10¹³ electrons

Calculating the number of electrons

From the question, we are to determine the number of electrons present in the given charge

The number of electrons can be determined by using the formula,

[tex]n = \frac{q}{e}[/tex]

Where n is the number of electrons

q is the magnitude of charge

and e is the charge of an electron (e = 1.6 × 10⁻¹⁹ C)

From the given information,

q = 2.8 μC = 2.8 × 10⁻⁶ C

Putting the parameters into the equation, we get

[tex]n = \frac{2.8 \times 10^{-6} }{1.6 \times 10^{-19} }[/tex]

n = 1.75 × 10¹³ electrons

Hence, the number of electrons present in -2.8µC of excess electric charge is 1.75 × 10¹³ electrons

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16) A car's position in relation to time is plotted on the graph. What can be said about the car during segment B?
A) The car travels for 80 seconds during segment B.
B) The car has come to a stop
and has zero velocity.
C) The car is traveling faster during segment B than in segment C.
D) The car is traveling with a constant
velocity due to the flat line
of the graph.
0)

Answers

Answer:

B The car has come to a stop and has zero velocity

Explanation:

I just did the Question

A wire is joined to points X and Y in the circuit diagram shown. A diagram of a circuit with a power source on the left. Directly above the power source is a dot labeled X and then a circle with an X in it. The circuit then splits with one path straight back to the power source and the other path has 3 circles with X in them labeled 2, 3, and 4 respectively. There is a point labeled Y between circles 2 and 3.A diagram of a circuit with a power source on the left. Directly above the power source is a dot labeled X and then a circle with an X in it. After the x are 4 different circles on the circuit with Xs in them labeled 1, 2, 3, and 4 respectively. There is a point labeled Y in between circles 2 and 3. There is a branch of the circuit from X to Y. How does the circuit change when the wire is added? A closed circuit occurs and makes all bulbs turn off. An open circuit occurs and makes all bulbs turn off. A short circuit occurs and makes bulbs 3 and 4 turn off but keeps bulbs 1 and 2 lit. A short circuit occurs and makes bulbs 1 and 2 turn off but keeps bulbs 3 and 4 lit.

Answers

Answer:

c thats the answer yep

Answer:

D.

Explanation:

The wire allows the current to follow the quickest path & will therefore follow the XY wire, restricting the energy source from reaching bulbs 1 and 2 which are beyond that wire.

Objects in space are moving at a constant velocity in a straight line.
Which phrase tells what they do?
O always move in an orbit
O stop on their own when they run out of energy
o keep moving at a constant velocity until some force acts on them
O require constant energy to keep moving in one or more directions

Answers

Answer:

C

Explanation:

An object in motion will stay in motion unless acted on by a net positive or negative force.

For answer A. If the object were to be in an orbit, it would inevitably accelerate due to it being acted on by the gravitational force from the object it is orbiting. At different points in the orbit, the object will move at different speeds and continuously transfer between kinetic and potential energy.

For answer B. The object would would not stop their motion. In order for the object to lose energy, it would have to transfer it through friction or through its interaction with a gravitational field.

For answer D. No energy is "required" to maintain constant motion unless the object is willingly fighting against a resistive force like friction or a graviational well.

A 43 kg rock is dropped from a 36 tower. How long does it take the rock to fall to the ground?

Answers

A 43-kg rock is dropped from a 36 m, experiencing a Uniformly Accelerated Motion and falling to the ground 2.7 s later.

What is a Uniformly Accelerated Motion?

A Uniformly Accelerated Motion is a motion in which the acceleration of the object is constant.

A 43 kg rock is dropped from a 36 m tower. Given the only acceleration is that of gravity, we can calculate the time required to hit the ground using the following kinematic equation.

s = 1/2 × a × t²

t = √(2s / a)

t = √[2 × 36 m / (9.8 m/s²)] = 2.7 s

where,

s is the displacement.a is the acceleration.t is the time.

A 43-kg rock is dropped from a 36 m, experiencing a Uniformly Accelerated Motion and falling to the ground 2.7 s later.

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4. What type of assessments are based on repeatable, measurable data?

Answers

Objective assessment is the type which is based on repeatable, measurable data.

What is Objective assessment?

This involves the use of unbiased and balanced observation based on verified facts.

This is verified by the use of  repeatable and measurable data so as to ensure the accuracy is high in this scenario.

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I just need the answer and EXPLANATION for (b)

Answers

torque divided by moment of inertia = angular acceleration inertia = radius squared times mass = 7.533

16.2 ÷ 7.533 = 2.15

Physics help pleaseeeee

Answers

Answer:

-11459.478 N

Explanation:

mass of the ball = 152 g = 152 / 1000 = 0.152 kg

initial speed of the ball = 40.6 m/s

final speed of the ball = - 46.1 m/s

time of impact = 1.15 ms = 1.15 / 1000 = 0.00115 s

impulse, Ft = change in momentum = mv - mu = m (v-u)

F = m (v - u) / t = 0.152 kg ( -46.1 -40.6) / 0.00115 s = -11459.478 N

A coil of wire with 226 circular turns of radius 3.20 cm is in a uniform magnetic field along the axis of the coil. The coil has R = 42.4 Ω
At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.155 A in the coil?

Answers

Answer:

R 44.4

Explanation:

Which equation can be used to find the measurement of angle C to the nearest degree what is the measurement of angle A

Answers

Answer:

12

Explanation:

the numbers are swapped so by conclusionn it is 12

MARKING BRAINLIEST
Who discovered the four laws of black hole mechanics?

Answers

Explanation:

Jacob Bekenstein, Brandon Carter, and James Bardeen(few new stuff were done by Stephen hawking)

Answer ASAP and only if you know its correct
this is science btw

Answers

Answer:

jupiter

Explanation:

from the list, Jupiter is closest to the sun.

Consider the collision between the moving cue ball and the red 15 ball
that is at rest on the table pool. All BUT ONE statement describes what
occurs when the cue ball collides with the 15 ball,
A)
Each ball experiences an equal force directed in
opposite directions,
B)
The 15 ball experiences a rightward force that causes
it to speed up.
The acceleration of the 15 ball is greater than that of
the cue ball.
The moving cue ball experiences a leftward force
that causes it to slow down.
9
D)

Answers

From the laws of Newton, the balls experiences an equal force directed in opposite directions.

What is collision?

Collision is said to occur when on object bumps into another. Collisions are described by the law of conservation of linear mometum which ststes that momentum is neither created nor destroyed.

The question is incomplete hence we can not fully answer the question. However, from the laws of Newton, the balls experiences an equal force directed in opposite directions.

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Which of the following statements is not true with regards to the first law
of thermodynamics?
A
The first law of thermodynamics states that within an open
system, the total energy of that system will remain constant.
B
A change in internal energy E) can be calculated if you know
how much energy was transferred in the form of heat, and how
much energy was used or created in the form of mechanical
work (w).

With regards to heat flow (q), if a system is heated, the energy
will move from the surroundings to the system.
D
You can calculate the change of enthalpy (AH) of a system (the
change in the heat content of the system) by calculating the heat
flow of the system. The heat flow is represented by the letter (q).

Answers

Statement A  is not true in regard to the first law of thermodynamics. The first law of thermodynamics states that within an open system, the total energy of that system will remain constant. Is incorrect statement.

What is the law of conservation of energy?

According to the Law of conservation of energy. Energy can not be created nor be destroyed, it can transfer from one to another form.

The total energy is the sum of all the energies present in the system. The potential energy in a system is due to its position in the system.

The wrong statement is the first law of thermodynamics states that within an open system, the total energy of that system will remain constant.

The first law of the thermodynamics is valid only for the closed system.

The first law of thermodynamics states that within a closed system, the total energy of that system will remain constant.

Hence, statement A  is not true in regard to the first law of thermodynamics

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Scientists such as Heinrich Hertz, Philipp Lenard, Max Planck, and Albert Einstein made scientific contributions that ultimately demonstrated that light is electromagnetic radiation, and that it has a “dual nature.” Some electromagnetic phenomena are best explained with a particle model, and some with a wave model. In a sense, “wave” and “particle” are just easy mental models for light. We employ them because we are used to seeing waves and particles—such as those in water waves and baseballs—in our daily lives. Electromagnetic radiation is a basic concept in physics, but it doesn’t fit completely into one of these neat little boxes.

Research and discuss at least one modern technology that employs electromagnetic radiation and that can be explained by the wave model, the particle model, or a combination of the two. Some possible technologies include solar panels, burglar alarms, cameras, and cell phones.

Answers

A common application of the wave/particle duality of ligt is in the technology of the solar panel.

Photoelectric effect

One of the greatest breakthroughs of mordern physics is the establishment of the fact that light could both behave as a light and a particle. The ressearch into the particle nature of light gave rise to the phenomenon of the photoelectric effect.

Now, a very popular application of this is in the solar panel where light impinges on a metal panel which is connected to a battery that can be used to  store charges.

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What is the zeroth law of black hole thermodynamics?

Answers

The zeroth law states that a simple, non-rotating black hole has uniform gravity at its event horizon. This is kind of like saying that such a black hole is at thermal equlibrium.

hope it helps...!!!

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