A particle is in its state of uniform circular motion. prove that its projection along one of its diameter executes simple harmonic motion.
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 SHM1. Describe the three Newton's Law of Motion.
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.
what amount of heat is needed to raise 52.3g of water by 12 c
Answer:
2.73 kJ
Explanation:
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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?
Np/Ns = Vp/Vs
200/Ns=120/24000
Ns=40,000
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when you see a full moon, what type of tides do you expect there to be?
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.
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)".
Which landscape feature can be caused by chemical
weathering?
OU-shaped valley
O Basalt columns
O Limestone caves
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.
What is the length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz on a day when the speed of sound is 340 m/s?
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
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/s²Tue 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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if i wanted the laser to refract less as it exits the prism, i would
If you wanted the laser to refract less as it exits the prism, you should increase the wavelength of the light.
What is refraction?Refraction can be defined as a phenomenon which describes a change (bend) in the path taken by light when it's at surfaces between different transparent materials.
According to the model of light wave, the refraction of light is inversely proportional to its wave. Thus, you should increase the wavelength of light, if you want the laser to refract less as it exits the prism.
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3. What is the distance between New York and London, if an airplane flying at 580 Km per hour takes 7 hours to complete the trip?
Answer:
4060 km
Explanation:
580 km/hr * 7 hr = 4060 km
rate * time = distance
Pick the free body diagram that correctly matches the following situation. An object is not moving.
Explain this picture in terms of potential and kinetic energy.
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Calculate the de moglie Wavelength of election having kinetic energy of 400 ev
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 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 = 613.5The speed of sound in air is 340 m/s. What is the wavelength of a soundwave that has a frequency of 977Hz?
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
Calculate the Speed for A + B
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)
when an Earthquake occurs energy radiates in all direction from its source called the
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]
A pendulum completes 3 cycles in 12 seconds. What is its period?
Answer:
[tex]period = 4s[/tex]
Explanation:
[tex]period = \frac{total \: time}{number \: of \: cycles} [/tex]
[tex]period = \frac{12}{3} [/tex]
[tex]period = 4s[/tex]
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.
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:
how to calculate the total input energy transfer
Answer:
i dont know
Explanation:
sorry i cant answer this question
Answer this question and show all the necessary steps to solve.
Answer:
√ ae/ ap = √ mp/me 1/2
Explanation:
Mass of the electron = M (Given)
Mass of the proton = M (Given)
Time = t (Given)
Electrostatic force, FE = eE (for both electron and proton)But acceleration of electron, ae =FE/me whereas
acceleration of proton, ap = FE/mp
S = 1/2at²1 = 1/2apt²2
Therefore,t2/t1= √ ae/ ap
t2/t1= √ ae/ ap = √ mp/me 1/2
Thus, the ratio is nearly equal to = √ ae/ ap = √ mp/me 1/2so, option D is correctAnswer:
Correct option is D) …
Explanation:
For electron t1 (small 1) = [tex]\sqrt{ \frac{2S}{ae}[/tex] (small e)
For protion, t2 (small 2) = [tex]\sqrt \frac{2S}{ap}[/tex] (small p)
or [tex]\frac{t2}{t1}[/tex] = [tex]\sqrt\frac{ae}{ap}[/tex] = [tex]\sqrt\frac{eE}{me} *\frac{mp}{eE}[/tex]
= [tex]\sqrt\frac{mp}{me}[/tex]
I’m gonna say everything that needs to go down as an exponent but down for example H20 but the 2 is small, also in order from top to bottom to fraction to fraction (small 2, 1, e, p, e, p, (after equal sign) p, e).
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Which sequence describes how a convection current forms in the air?
A Warm air rises-Air gets warmer- -Warm air sinks
& Cold air rises-Air warms up-Warm air sinks
C. Warm air rises-Air cools off-Cool air sinks
D. Cold air rises-Air gets cooler-Cool air rises
W
6
Answer:
C
Explanation:
Cool and dense air falls through more warm and less dense air during convection. The cooler, which is much heavier than warm air, is displacing the warmer, which has less mass. Convection always involves rising air in the atmosphere.
Answer:
C
Explanation:
Imagine a kettle. When you open it, all the hot water vapour will rise up, attempting to burst out. However, when it comes in contact with the cold air, it also becomes cold, causing it to sink back down and giving us the visual effect of steam.
A 20 kg bike accelerates at 10 m/s2. what was the net force
Explanation:
Fnet = m.a
= (20)(10)
= 200N
Which coefficient is needed in front of NaNO3 to balance the equation Na2S + Zn(NO3)2 → ZnS + _NaNO3? 1, 2, 5, 7,
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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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?
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.
What is the energy of the photon emitted when an electron in a mercury atom drops from energy level f to energy level b?
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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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.
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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How do you convey your emotion in text communication?
Hey there! Hope this answer helps.
Answer:
Emojis: Emojis are a useful way to convey human emotions due to their human characteristics; they mimic the expressions of the human face, they serve as simple shorthand for conveying an emotional state without directly stating it :)Punctuation: Not only for clarity, but different uses of punctuation can be convey different things - e.g. exclamation marks (!) can express anger, emphasis, sadness or delight depending on the context, and full stops (.) or periods in the US are interpreted as bold, assertive or aggressive. On the same note, texters find sentences with no period or with ellipses more passive or open ended and formalLength: Think about it like this: "I read about your relative's passing on Insta-gram and am sorry for your loss" likely has more emotional impact than "read abt ur family's passing on ins-ta, sry 4 ur loss."- profparis
Interference between the red and blue waves in wave set A will result in which wave?
Answer:
option 1
Explanation:
which of the following is a reality based condition with self-defeating patterns?
Answer:
What is a reality based condition with self-defeating patterns?
Terms in this set (35) A psychotic is reality based, yet needs psychotherapy to correct their values. A neurotic is a non-reality based person with self-defeating patterns of behavior.
Explanation:
