A particle is in its state of uniform circular motion. prove that its projection along one of its diameter executes simple harmonic motion.

Answers

Answer 1
The displacement of the projection along the diameter from the Center of the circle is given by :-

x = R Cos wt, if x = R at t = 0

Uniform circular motion means that w is a constant.

Then v = dx/dt = Rw Sinwt

a = d²x/dt² = - Rw² Cos wt = -w² x

Hence its motion is a SHM

Related Questions

Which of the following is a characteristic of a balanced force?

1) equal in size opposite in direction
2) causes a change in the direction of an object
3) causes a change in the motion of an object

Answers

1 because for example if you have two equally strong people pushing against each other they would not move
They are both equal is size or the amount of force but one is pushing to the right and one is to the left so opposite direction

Why is nuclear energy able to be used for practical purposes? the reactions are controlled to regulate energy output. the reactions are uncontrolled for maximum energy output. all of the products are fed back into the reaction to keep it going. all of the products are immediately removed to inhibit more reactions.

Answers

Nuclear energy is able to be used for practical purposes because ; ( A ) The reactions are controlled to regulate energy output

Nuclear energy generation

Nuclear energy is a clean energy source which has a zero-emission, nuclear energy is used to generate electricity/power following a controlled reaction known as fission of uranium atoms to produce heat energy required to drive a turbine to produce electricity

Hence we can conclude that Nuclear energy is able to be used for practical purposes because ; ( A ) The reactions are controlled to regulate energy output.

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Answer:

option A

Explanation:

The magnetic field lines of a bar magnet spread out from the
A. north end to the south end.
B. south end to the north end.
C. edges to the center.
D. center to the edges.

Answers

Answer:

I think the letter B. But I'm not sure pero I try mo Lang po baka Yan po ang tamang sagot kac Yan po Yung nilagay na sagot saakin e Kaya try mo Lang po

when an Earthquake occurs energy radiates in all direction from its source called the

Answers

Answer:

[tex]\huge\boxed{\sf Focus}[/tex]

Explanation:

Focus:The point at which Earthquake occurs is called Focus.It is also called hypocenter.Epicenter:Epicenter is the point on the Earth surface which is just above the focus.

Most of the times, epicenter is confused with focus. However, epicenter lies on the Earth surface and focus is the exact point from where the Earthquake originates.

[tex]\rule[225]{225}{2}[/tex]

Vhat are you looking for when you research a potential employer?
personal information about the managers
company history
related industry news
what its product or service is

Answers

B because I had it before

BRAINLIEST IF ITS CORRECT HEPL​

Answers

Answer: C.

Explanation: They describe the direction of the magnetic force on a north monopole at any given position.

Where would sound NOT be
able to travel?

A. through the ground
B. through the ocean
C. through the air
D. through outer space

Answers

The answer is D, or Outer Space.

Explanation:

Sound is implemented through mechanical wave transferral, which requires a medium (solid, liquid, or gas) to travel through. Because sound is a mechanical wave, it cannot travel through vacuums (space).

Determine the CM of the uniform thin L-shaped construction brace shown in (Figure 1) . Suppose that a = 2.20 m and b = 1.63 m Determine the x coordinate of the CM

Answers

By weighted average method, the x-coordinates of the center of mass of the compound figure, the uniform thin L-shaped construction brace is [tex]\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}[/tex] meters.

How to determine the coordinates of the center of mass of a compound figure

Let suppose that the entire construction has a uniform mass, then the coordinates of the center of mass can be determined by definition of weighted average:

[tex]\bar x = \frac{\sum \limits_{i = 1}^{n}x_{i}\cdot m_{i}}{\sum \limits_{i=1}^{n}m_{i}}[/tex]     (1)

[tex]\bar y = \frac{\sum \limits_{i = 1}^{n}y_{i}\cdot m_{i}}{\sum \limits_{i=1}^{n}m_{i}}[/tex]     (2)

If we know that a = 2.20 m and b = 1.63 m, then the x-coordinates of the center of mass of the compound figure is:

[tex]\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}[/tex]

By weighted average method, the x-coordinates of the center of mass of the compound figure, the uniform thin L-shaped construction brace is [tex]\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}[/tex] meters.

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What is the energy of the photon emitted when an electron in a mercury atom drops from energy level f to energy level b?

Answers

The energy emitted by a photon when it falls from level f to energy level b is 2.84 eV.

Energy of photon at level f and level b

The energy of a photon at level F is given as -268 eV and the energy photon at level b is given as -5.52 eV.

Energy emitted by a photon when it falls from level f to energy level b is calculated as follows;

ΔE = -2.68 eV - (-5.52 eV)

ΔE =  -2.68 eV + 5.52 eV

ΔE = 2.84 eV

Thus, the energy emitted by a photon when it falls from level f to energy level b is 2.84 eV.

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Please help!! Look at pic

Answers

Answer:

Explanation:

Voltage and Current relation is given by V=IR
I=9A

R=4Ohm

V=IR
V=9x4=36Volts

Resistance = 4 Ohm

Current = 9 Ampere

Voltage = 36 Volts

A stationary sound waves has a series of nodes. The distance between the first and the 6th node is 30cm. What is the wavelength of the sound wave

Answers

Answer:

Assume a node at the left end and the right end

N-A-N-A-N-A-N-A-N-A-N    shows nodes and anti-nodes

10 quarter wavelengths are shown  (or 2.5 wavelengths)

30 / 2.5 = 12 cm wavelength      since there is 1/4 wavelength between node and anti-node

Nodes and anti-nodes are displayed in N-A-N-A-N-A-N-A-N.

The difference between the node and the anti-node exists 12 cm wavelength.

What is meant by stationary sound waves?

Standing waves are created when two identical waves move in opposition to one another along a line. Despite being composed of two waves that are moving in opposition to one another, standing waves do not travel through space or along a string.

A wave that is stationary is one that is not moving, is at a standstill, or is in a relaxed position. A standing wave is created whenever two waves with nearly identical frequencies, wavelengths, and amplitudes that are traveling in opposite directions collide.

A waveform signal that is carried in space or down a wire has a wavelength, This is the distance between two identical locations (contiguous crests) in the following cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm).

The distance over which a periodic wave's shape repeats is known as the wavelength in physics.

Assume that there exists a node at both the left and right ends.

Nodes and anti-nodes are displayed in N-A-N-A-N-A-N-A-N.

it displays 10 quarter wavelengths.

Since there exists a 1/4 wavelength difference between the node and the anti-node, 30 / 2.5 = 12 cm wavelength.

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.......................................

.

Answers

Explanation:

?????????!!!!!!!??????

A 3 kg toy plane is attached to a 1.8 m string that it can be whirled around in a horizontal circle above the users head. If one’s exerts a force of 10 N on the string, what speed should the plane have as it rotates

Answers

With the use of formula, The plane should rotate at the speed of 3 m/s

Circular Motion

When a body is moving rotationally at a point, the motion is said to be a circular motion. There are two types of motion in a circle

Vertical circular motionHorizontal circular motion

Given that a 3 kg toy plane is attached to a 1.8 m string that it can be whirled around in a horizontal circle above the users head rotates.

The given parameters are:

mass m = 3 kg

Length L = 1.8 m = radius

Force F = 10 N

Velocity V = ?

If one’s exerts a force of 10 N on the string, The speed the plane should have can be calculated by using the below formula

F = M[tex]V^{2}[/tex] / r

Substitute all the parameters into the formula

10 = 3 x [tex]V^{2}[/tex]  / 1.8

Cross multiply

18 = 3[tex]V^{2}[/tex]

[tex]V^{2}[/tex] = 18/3

[tex]V^{2}[/tex] = 9

V = [tex]\sqrt{9}[/tex]

V = 3 m/s

Therefore, The plane should rotate at the speed of 3 m/s

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An object of mass 20 kg is raised vertically through a distance of 8 m above ground level. If g = 10 m/s2, what is the gravitational potential energy of this object at this position?

Answers

Answer:

1600 joules

Explanation:

Potential Energy = m * g * h

                           = 20 kg  *  10 m/s^2  * 8 m = 1600 J

When the ultrasound beam strikes the surface at or nearly at right angles, the fraction of sound energy that is reflected (R) at the interface between two materials of acoustic impedance Z1 and Z2, respectively, is given by:​

Answers

Explanation:

the expression of x= -4t+2t^2 where x is displecement?

When you are making cold calls while job hunting, be
o 20 minutes early
O on time
O prepared with a résumé and cover letter
O casual

Answers

Answer:

The answer is O prepared with a résumé and cover letter

Explanation:

That will get you very far if you are prepared with a résumé and cover letter

prepared with resume and cover letter

Which circuit contains the smallest voltage?

- A circuit with a current of 20amps and a resistance of 15 ohms?

- A circuit with a current of 10 amps and a resistance of 10 ohms?

- A circuit with a current of 25 amps and a resistance of 10 ohms?

- A circuit with a current of 20 amps and a resistance of 10 ohms?

Answers

Answer:

10 amps   10 ohms      ( 100 v)

Explanation:

Voltage = current * ohm

  the smallest of those listed is    10 amps   10 ohms

What kind of object are the light rays interacting with in the model below?

Convex mirror
Convex lens
Concave mirror
Concave lens

Answers

Answer:

Concave lens

.............


7
8

What happens when the thermal energy of a substance increases?
O The motion of the particles in the substance increases, and the temperature of the substance decreases.
O The motion of the particles in the substance decreases, and the temperature of the substance increases.
O Both the motion of the particles in the substance and the temperature of the substance decrease.
O Both the motion of the particles in the substance and the temperature of the substance increase

Answers

Answer:

D

Explanation:

it is because when the thermal energy increases the particles move faster and the temperature increases.

Find the charge on the capacitor in an LRC-series circuit at t = 0.03 s when L = 0.05 h, R = 6 Ω, C = 0.005 f, E(t) = 0 V, q(0) = 4 C, and i(0) = 0 A. (Round your answer to four decimal places.)
Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.)

Answers

The charge on the capacitor in an LRC-series circuit is 2.8907 C.

The first time at which the charge on the capacitor is equal to zero is 0.1409s.

What is capacitor?

The capacitor consists of two parallel plates used to store the charge when current flows through it, and provides energy when shuts off.

By the Kirchoff's second  law,

Lq'' +Lq' +q/C =E(t)

Where, L =0.05h, R = 6 Ω, C = 0.005 f, E(t) = 0 V, q(0) = 4 C, and i(0) = 0 A.

Equations becomes q''+120q' +4000 =0

The auxiliary equation is m² +120m+4000 =0

Solving this quadratic equation, we have

m =-6± 20i

Then , q(t) = Ae^(-60t)cos 20t + Be^(-60t)sin 20t    where, A and B are constants.

At t=0, q(0) =7 =A

and q'(t) = A [ -20e^(-60t)sin 20t - 60e^(-60t)cos 20t ] +B  [ 20e^(-60t)cos 20t - 60e^(-60t)sin 20t ]

So, i(0)= q'(0) =0 =-60A +20 B

Putting the value of A=7 above, we have B =21.

So,  q(t) = 7e^(-60t)cos 20t + 21e^(-60t)sin 20t  

The charge on the capacitor at time t =0.015

q(0.015) = 2.8907 C

Thus the charge on capacitor is  2.8907 C.

q(t) = 7e^(-60t)cos 20t + 21e^(-60t)sin 20t  =0

Solve for t, we get

e^(-60t)cos 20t + 3e^(-60t)sin 20t\

-1/3 = sin 20t /cos20t

t =1/20 arctan(-1/3)

As, arctan is defined within -90 to +90,

So, 20t = -0.3218 +π =2.8197

t =0.1409s

Thus the first time at which the charge is zero is 0.1409s.

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Consider an object of mass 2kg on a ramp with βs=0.5 and βk=0.4.
If we keep increasing the ramp angle, what is the angle() that the object starts to move downward? Give your answer in degree with 1 decimal place.

Answers

Answer:

bs angle will move in 1.5

If 20 coulombs of charge move past a given point in 4 s, what is the current?

Answers

Answer:

5A

Explanation:

[tex]=> Current (I) = \frac{q}{t} [/tex]

Here q = 20 C and t = 4sec

=> I = 20/4 = 5A

Before Schwarzschild, the understanding of relativity to gravitational force was unknown.

t or f

Answers

Answer:

False

Explanation:

A satellite with a mass of 150 kg fires its engines to increase velocity, thereby
increasing the size of its orbit about Earth. As a result, it moves from a
circular orbit of radius 7.5 x 106 m to an orbit of radius 7.7 x 106 m. What is
the approximate change in gravitational force from Earth as a result of this
change in the satellite's orbit? (Recall that Earth has a mass of 5.97 x 1024 kg
and G = 6.67 x 10-11 N-m²/kg².)
OA. -113 N
OB. -148 N
O C. -216 N
D. -54 N

Answers

The approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is 5. 35N

What is the universal law of gravitation?

The universal law of gravitation states that the particle of matter in the universe attracts another particle with a force directly proportional to the  product of their masses and inversely proportional to the square of the distance between them.

It is written thus;

F = G MIM2÷ r∧2

Where

F = Gravitational force

G = Gravitational constant

M1 and M2 are the masses of the object

r = radius

How to calculate the gravitational force

Formula:

F = G MIM2 ÷ r∧2

Given M1 = 150kg, M2 = 5.97 x 1024 kg, r = 7.5 x 106 m, G =  6.67 x 10-11 N-m²/kg²

For the first orbit, substitute the values

F = 6.67 x 10∧-11 × 150 ×  5.97 x 10∧24 ÷ (7.5 x 10∧6)²

F = 5.95 × 10∧16 ÷ 56.25 × 10∧12 =  105.77 N

For the second orbit of radius 7.7 x 106 m

F =  6.67 x 10∧-11 × 150 ×  5.97 x 10∧24 ÷ (7.7 x 10∧6)²

F = 5.95 × 10∧16 ÷ 59.25 × 10∧12 = 100. 42 N

The approximate change = 105. 77 - 100.42 = 5. 35N

Hence, the approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is 5. 35N

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HELP MEEE!!!!!!!!!

A series circuit is made up of a battery and 4 Resistors.

The Resistors are:

R1 = 10 ohms

R2 = 20 ohms

R3= 5 ohms

R4= 10 ohms

What is the total resistance in the circuit is...
ohms

Answers

r2 i believe but lmk if i’m wrong

A copper atom has an atomic number of 29 and an atomic mass of 64. What
is the structure of this atom?
OA. It has a central nucleus composed of 29 protons and 64 neutrons,
surrounded by an electron cloud containing 29 electrons.
B. It has a central nucleus composed of 29 protons and 35 neutrons,
surrounded by an electron cloud containing 29 electrons.
OC. It has a central nucleus composed of 29 protons and 29 neutrons,
surrounded by an electron cloud containing 35 electrons.
D. It has a central nucleus composed of 35 protons and 29 neutrons,
surrounded by an electron cloud containing 29 electrons.

Answers

Answer:

It has a central nucleus composed of 29 protons and 35 neutrons, surrounded by an electron cloud containing 29 electrons

Explanation:

Atoms Composition:

A atom is mainly composed of a centrally-placed nucleus. A nucleus consists of protons and neutrons with a cloud of electrons surrounding the outside.  A proton is a nuclear particle having a positive charge equal to that of an electron and a mass more than 1800 times the electron. A neutron is a nuclear particle having a mass almost identical to that of an electron, but no electric charge.

Calculation:

Mass number = Proton + Neutron64 = 29 + NeutronCollect like termsNeutron = 64 – 29Neutron = 35

a) First write down what you see in the picture.

Answers

Answer:

which picture please,I don't get you

calculate the work done 36 kg boxes lifted onto a shelf 1.5 m high​

Answers

Answer:

529.2 joules

Explanation:

Work done = force x distance = mass x gravity x distance

= 36x9.8 x1.5 =529.2 joules

5 postulates of neil bohr atomic model​

Answers

Answer:

What is Bohr’s Model of an Atom?

The Bohr model of the atom was proposed by Neil Bohr in 1915. It came into existence with the modification of Rutherford’s model of an atom. Rutherford’s model introduced the nuclear model of an atom, in which he explained that a nucleus (positively charged) is surrounded by negatively charged electrons.

a toy car needs a source of energy to move. how could you give gravitational potential energy to a toy car so that it will move when you let it go?​

Answers

Answer:

wait one second im about to go get some milk im thirsty

Explanation:

do you want any chicken on your salad

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