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

If the diameter of a wire is tripled and the length is doubled, the resistance would change by a factor of __?

Answers

Diameter triples.
Area becomes 9 times as great.
Resistance is reduced to 1/9 as much.

Length doubles.
Resistance is increased to 2 times as much.

Both changes.
Resistance changes by 2 • 1/9 .
Resistance becomes 2/9 as much.
That's 22.2% of the original resistance.
Resistance decreased by 77.7% .

Answer:

it’s going to be times 3

Explanation:

so the answer would be three times which means it will change by a factor of 3.


I’m sorry I wrote it wrong the first time.

If in the figure below, the friction between the block and the incline is negligible, (a) how much must the object on the right weigh if the 200-N block is to remain at rest? Ans: 115 N (b) if the system remains at rest when F= 220 N. What are the magnitude and direction of the friction force on the 200-N block? Ans: 105 N down the incline 200 N Fw 35.0⁰​

Answers

The magnitude of the acceleration and its direction however depends on the resultant force.

What is the resultant force?

In a system of forces, the resultant force is the force that has the same effect in magnitude and direction as all the forces acting together.

In an inclined plane, the friction, weight and applied force all act together on the object. The magnitude of the acceleration and its direction however depends on the resultant force.

This question is incomplete as the diagrams are missing hence the numerical values can not be computed.

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Using the formula below, determine how
many seconds it would take for a satellite
traveling at 4 miles per second to travel
11,000 miles across the Pacific Ocean.
speed=
A 27.5 seconds
B 45 seconds
C 2,750 seconds
D 3,000 seconds

Answers

Speed=distance /time
11,000/4 =2,750
Answer=C

In which 120-V light bulb does the filament have greater resistance: a 60-W bulb or a 120-W bulb?

Answers

Answer:

60W

Explanation:

A higher watt bulb allows more electricity through, therefore the resistance must be lower.

A 20 kg bike accelerates at 10 m/s2. what was the net force

Answers

Explanation:

Fnet = m.a

= (20)(10)

= 200N

PLEASE HELP 100 POINTS! Please fill in the scale distance from sun and diversion factor, listing off the numbers works

Answers

Solved your another question same like this with scaling to Cm this time we go with metre(m)

Scale factor

1km=10³m1m=10^{-3}km

Mercury

58000m

Ven us

108000m

Earth

150000m

Mars

228000m

Jupiter

778000m

Saturn

1430000m

Uranus

2870000m

Neptune

4500000m


A 1200 kg car traveling at an unknown velocity has a rear-end collision with a 1600 kg car parked in the road. The cars lock bumpers and skid off together at 3.0 m/s. What was the velocity of the 1200 kg car right before the collision?

Answers

Answer:

Gotta be it

Explanation:

m1*v1 = m2*v2

1200*v1 = 1600*3

1200*v1  = 4800

v1 = 4800 / 1200

v1 = 4.0 m/s

HELP ASAP PLS!!!
when you see a full moon, what type of tides do you expect there to be?

Answers

Answer:

Spring High Tide

When the moon is full or new, the gravitational pull of the moon and sun are combined. At these times, the high tides are very high and the low tides are very low.

A student repeats a reaction several times to test the effects of various
changes on the reaction rate. The data table shows the results. How does
increasing the temperature of the system change thereaction rate?

A. Increasing the temperature decreases the reaction rate.
B. Increasing the temperature increases the reaction rate.
C. More information is needed to determine what happens to the reaction rate.
D. Increasing the temperature has no effect on the reaction rate.

Answers

Answer:

B. Increasing the temperature increases the reaction rate.

Explanation:

This is as with a higher temperature the particles have more kinetic energy, this is the consequece of the increase in reaction rate as the frequency of particles colliding is increased.

Answer: B

Explanation:

The speed of sound in air is 340 m/s. What is the wavelength of a soundwave that has a frequency of 977Hz?

Answers

Answer:

The wavelength is =2.87m.

Explanation:

The speed of sound, the frequency and the wavelength is related by the equation

v=fλ

speed of sound is v=340ms

frequency is f=977Hz

wavelength is λ= v/f = 977/340 =2.87m

Answer:

.348 meters

Explanation:

Speed = wavelength * frequency

 340   =    wl       *  977

340 /977 = wavelength = .348 m


A pendulum is lifted to a certain height and then released, which causes the
pendulum to swing back and forth. If energy losses due to friction and air
resistance can be ignored, when is the energy of the system at its maximum
value?


Answers

Answer:

Answer is C

Explanation:

Let's say the pendulum starts swinging from its max height from the left. It then will go down and reach the equilibrium position, this will make it lose GPE while gaining KE (the loss in GPE = gain in KE). At the equilibrium position it has the max KE (max velocity) and minimum GPE. After passing the equilibrium it then starts to head up to the max height on the right, the pendulum gains GPE while losing KE and at the top will have minimum KE while having max GPE. Meaning throughout its joruney the total energy remains constant as
Total energy = KE + GPE

I have attached a simple diagram below, the y axis is the energy and x axis being the time (where t = 0 is the pendulum starting from max height left of the equilibrium). The green curve the the GPE and blue curve is KE. Red line shows that at all times the energy is constant.

the weight of the mass is the force that is stretching out the spring. determine the weight (F) of the mass using 9.81 m/s(to the second power) as the acceleration due to gravity on earth and record this in the column labeled "F(N)".

Answers

Because th Ara of Trish ingle

Which landscape feature can be caused by chemical
weathering?
OU-shaped valley
O Basalt columns
O Limestone caves

Answers

Answer: Limestone Caves

Explanation: The most common feature that can be caused purely by chemical weathering is Karst Landscape, which can lead to caverns and sinkholes.

10. Explain why a power plant doesn’t make electricity.

Answers

Answer: The power station converts stored chemical energy in the fuel to kinetic energy in the raised temperature of the steam that pushed a turbine to rotate the generator that makes electricity.

So chemical to thermal (kinetic) to thermal to kinetic to electrical. Then mostly to heat or movement.

Loads of losses, thermal, mostly.

Explanation: hopes this helps

In all of the power plants, electricity is generated by rotating turbine inside a magnetic field. That is why,  power plant transfers mechanical energy into electric energy. That is why, it  doesn’t make electricity.

What is power plants?

An industrial facility for the production of electricity is referred to as a power plant. In most cases, power plants are wired into a grid.

A revolving device called a generator, which transforms mechanical power into three-phase electric power, is found in many power plants. An electric current is produced by the movement of a conductor in relation to a magnetic field.

The majority of power plants throughout the world produce electricity by burning fossil fuels including coal, oil, and natural gas. Nuclear energy and the usage of renewable energy sources including solar, wind, geothermal, and hydroelectricity are examples of low-carbon power sources.

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1. Describe the three Newton's Law of Motion.

Answers

Answer:

1st law--Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia. The key point here is that if there is no net forceacting on an object (if all the external forces cancel each other out) then the object will maintain a constant velocity. If that velocity is zero, then the object remains at rest. If an external force is applied, the velocity will change because of the force.

2nd— The second law explains how the velocity of an object changes when it is subjected to an external force. The law defines a force to be equal to change in momentum(mass times velocity) per change in time. Newton also developed the calculus of mathematics, and the "changes" expressed in the second law are most accurately defined in differential forms. (Calculus can also be used to determine the velocity and location variations experienced by an object subjected to an external force.) For an object with a constant mass m, the second law states that the force F is the product of an object's mass and its acceleration a:

F = m * a

For an external applied force, the change in velocity depends on the mass of the object. A force will cause a change in velocity; and likewise, a change in velocity will generate a force. The equation works both ways.

3rd law-- The third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal force on object A. Notice that the forces are exerted on different objects. The third law can be used to explain the generation of lift by a wing and the production of thrust by a jet engine.

Write an expression to evaluate the relative error in g (given that g= 2h/t^2) in terms of h,Δh,t,Δt

Answers

An expression which can be used to evaluate the relative error in g (in terms of h, Δh, t, and Δt) is: [tex]\delta = \frac{t^2(h\;+\Delta \;h) }{h(t\;+\;\Delta t)^2} - 1[/tex]

What is relative error?

Relative error can be defined as a measure of the ratio of an absolute (real) value of a measurement to an expected (theoretical) value. Also, it's independent of the magnitude of its values.

How to evaluate the relative error in g?

In order to write this expression, we would divide the absolute (real) value by the expected (theoretical) value as follows:

[tex]\delta = \frac{g(h\;+\;\Delta h,t \;+ \;\Delta t) - \;g(h,t)}{g(h,t)} \\\\\delta = \frac{g(h\;+\;\Delta h,t \;+ \;\Delta t) }{g(h,t)} - 1\\\\\delta = \frac{t^2(h\;+\Delta \;h) }{h(t\;+\;\Delta t)^2} - 1[/tex]

Note: g = 2h/t²

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You take a trip to Oklahoma City. The turnpike between Tulsa and OKC
is 90 miles long. You drive slowly for an hour and forty-five minutes, stop
at the rest area for fifteen minutes, then drive very fast from the rest
area to the City, arriving an hour after you left the rest area.
What was your average speed for the trip?

Answers

[tex]speed_{avg} = \frac{Σ\:distance}{ total\: time}[/tex]

So, according to the question:

distance = 90 miles

time = 1h 45min + 15 min + 1h = 3h

[tex]Therefore:\\ speed_{avg} = \frac{90}{3} mph \\ = \boxed {30 \: mph}[/tex]

Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg and a radius of 1821 km.

How high would this material go on earth if it were ejected with the same speed as on Io? ( RE =6370km , mE=5.96×1024kg )
Include variations in gravitational acceleration

Answers

The material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.

What is will be the height of the material on earth?

The height of the material on earth will be derived from the given values as follows:

Gravitational constant, G = 6.67 × 10⁻¹¹ m³/kgs²radius of Io, r = 1821000 mmass of Io, m =  8.93 × 10²² kgHeight of materials, H = 500000 macceleration due to gravity on Earth, g = 9.81 m/s²

Tue acceleration due to gravity on Io, go is given as:

[tex]g_o = \frac{GM}{r^{2}}[/tex]

Substituting the values:

[tex]g_o= \frac{6.67×10^{-11}×8.93×10^{22}}{1821000^{2}}[/tex]

[tex]g_o = 1.796 m/s^{2}[/tex]

Height on earth, He and Height on Jupiter H is given as follows:

[tex]H_e = \frac{v^{2}}{2g}[/tex]

[tex]H = \frac{v^{2}}{2g_o}[/tex]

Taking ratio of the two heights and solving for height on earth, He:

[tex]H_e = H × \frac{g_o}{g}[/tex]

Substituting the values:

[tex]H_e = 500000 × \frac{1.796}{9.81} = 91539.245 m[/tex]

Therefore, the material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.

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The Venus flytrap is known for which of these behaviors?

closing its flower buds at night
snapping a leaf shut around an insect
closing its leaves when touched by a finger
screeching when in danger

Answers

Snapping a leaf shut around an insect, I think.


Explain this picture in terms of potential and kinetic energy.

PLEASE HELP ASAP!

Answers

I think is because just make sense

Calculate the Speed for A + B

Answers

Answer:

Speed of A + B = 1 m/s

Explanation:

The speed of B = 0    because the distance does not change with time .

The speed of A =   1 m/s   ( the slope of the line)

   

Lab:Motion

Here you go if you need help!!!!!!



Answers



There I tried it wouldn’t let me do individual pictures.

Describe the population density located along the tectonic plate boundary known as the Ring of Fire and the potential effect that earthquakes or volcanic
activity can have in this area.

Answers

Answer:

Seventy-five percent of Earth's volcanoes—more than 450 volcanoes—are located along the Ring of Fire. Ninety percent of Earth's earthquakes occur along its path, including the planet's most violent and dramatic seismic events.

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Calculate the de moglie Wavelength of election having kinetic energy of 400 ev​

Answers

Answer:

613.5 pm

Explanation:

We know that de Broglie wavelength of an electron :

λ = 1.227 / √E nm

λ = 1.227 / √400 nm

λ = 1.227 / 20 nm

λ = 0.6135 nm

λ = 0.6135 x 10⁻⁹ m

λ = 613.5 x 10⁻¹² m

λ = 613.5 pm

Wavelength

Wavelength of election having kinetic energy of 400 ev.

Solution:

WE = 1.227 / √election nmWE = 1.227 / √e400nmWE = 1.227 / √20nmWE = 0.6136nmWE = 0.6136 x 10-⁹mWE = 613.5 x 10-¹²mWE = 613.5

Which coefficient is needed in front of NaNO3 to balance the equation Na2S + Zn(NO3)2 → ZnS + _NaNO3? 1, 2, 5, 7,

Answers

The coefficient is needed in front of NaNO3 to balance the equation is 2.

What is balanced equation?

When in a chemical reaction, both the product elements or compounds should have number of moles equal to that of the elements or compounds of reactants.

In the given chemical reaction equation,

Na2S + Zn(NO3)2 → ZnS + _NaNO3

Number of moles of S is 1 on both the product and reactant side. Zn has 1 mole on both side. NO3 has 2 mole and Na has 2 mole on reactant side. So to balance the equation, Na and NO3 both must have 2 moles on product side.

Thus, the coefficient is needed in front of NaNO3 to balance the equation is 2.

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If the number of turns in a primary coil is 200 and the voltage is 120 V, then how many turns are needed in a secondary coil of a transformer to produce an output voltage of 24,000 V?

Answers

Np/Ns = Vp/Vs

200/Ns=120/24000

Ns=40,000

what amount of heat is needed to raise 52.3g of water by 12 c

Answers

Answer:

2.73 kJ

Explanation:

yan po I hope it's help po pa brainly na lng po

Pick the free body diagram that correctly matches the following situation. An object is not moving.

Answers

The answer to your promise in b

How long will it take for a spacecraft traveling at
15,000 Kilometers per hour to cover the distance from the
Earth to the Moon, which is about 250,000 Kilometers?

Answers

Answer:

16  2/3 hr

Explanation:

250 000 km / 15 000 km/hr =  16 2/3 hours

What factors affect the strength and direction of electrical forces?

Answers

Answer:

The strength of the electric field is determined by the amount of charge on the source charge (Q) and the separation distance (d) from the source charge.

Explanation:

The interaction of charged objects is a non-contact force that operates over a certain separation distance. Distance, distance, distance. Every electrical contact is accompanied by a force, emphasizing the significance of these three factors. Whether it's a plastic golf tube attracting paper bits, two like-charged balloons repelling, or a charged Styrofoam plate interacting with electrons in a piece of metal, the three crucial factors that impact the strength of the interaction are always two charges and a distance between them.  The electrical force, like all other forces, is usually measured in Newtons. The electrical interaction's intensity is a vector quantity with both magnitude and direction since it is a force. The electrical force's direction is determined by whether the charged objects are charged with similar or opposing charges, as well as their spatial orientation. With a little logic and knowledge of the two objects' charge types, the direction of the force on either of them may be determined. Objects A and B in the figure below have similar charges, hence they repel each other.

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