The highest position the car reaches above the bottom of the hill is 20.9m.
Solution:
U = mgh
K= 1/2 mv2
Ki+Ui = Uf
750(0.5)(400)+750(9.8)(5)=(750)(9.8)h
200+4.9=9.8h
h = 20.9 m
Frictional force refers to the force created by two surfaces contacting and sliding against each other. Several factors affect frictional forces: These forces are primarily affected by surface textures and the forces that drive them together.
Scientists don't know exactly what causes friction. However, it is thought to be caused by interactions when small bumps on the surface rub against each other. The ridges on each surface flex and exert forces on each other making the surfaces less slippery against each other.
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A body of ma 50kg ret on a plane inclined at 60 degree to the horizontal calculate the force that keep it from liding down the plane
250N is the friction force that keep body from sliding down the plane of inclination of 60 degrees.
What is friction force ?Friction force is the force which resists the relative motion of the body or object in motion.
Solution:
Given :
Mass = 50kg
inclination = 60 degree
normal force acting on body =
F=mg
F=50*10
F=500N
Now the friction force which stops it from sliding is ;
Friction= FcosФ
Friction=500*cos 60
Friction=500*0.5
Friction=250N
Hence, 250N is the friction force that keep body from sliding down the plane of inclination of 60 degrees.
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A force of 570 N keeps a certain ideal spring stretched a distance of 0.900 m.
Part A:
What is the potential energy of the spring when it is stretched 0.900 mm?
Express your answer with the appropriate units.
Part B:
What is its potential energy when it is compressed 9.00 cm?
Express your answer with the appropriate units.
The potential energy of the spring when it is stretched 0.900 mm is 228 J. The potential energy when it is compressed is 2.88J.
Hooke's law states that the elongation of a material is proportional to the applied stress within the elastic limits of the material.
Using Hooke's law
F = kx
570 = k * 0.9
k = 712.5 N/m
(a) energy at x = 0.8 m
U = 0.5 k x^2 = 0.5* 712.8* 0.8^2
U = 228 J
(b) U = 0.5 * 712.8* 0.09^2
U = 2.887 J
Elastic potential energy is the potential energy released as a result of the deformation of an elastic body. B. Spring extension is stored. This is equal to the work done to stretch the spring, which depends on the spring constant k and the stretched distance. The force exerted by the spring is the restoring force that helps return the spring to its equilibrium length.
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a two-slit fraunhofer interference-diffraction pattern is observed with light of wavelength 660 nm. the slits have widths of 0.01 mm and are separated by 0.19 mm. how many bright fringes will be seen in the central diffraction maximum?
38 Bright fringes will be seen in the central diffraction maximum when a two-slit Fraunhofer interference-diffraction pattern is observed.
Diffraction is when waves such as light or sound spread as they travel around an object or through a slit.
As the light passes through each of the slits, it expands and overlaps with the light from the other slit. Through this overlap, a diffraction pattern of dark and light areas is created.In case of diffraction , angular width of central maxima = 2 λ/d
λ is wave length of light = 660 nm
d is slit width = 0.01 mm
In case of interference , angular width of each fringe = λ /D
D is distance between two slits = 0.19 mm
Number of interference fringe in central diffraction fringe can be calculated by the formula
=2 λ/d x D/λ
= 2 x D /d = 2 x .19/0.01
= 38
38 bright fringes will be seen in the central diffraction maximum.
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in each figure, a magnet is located beneath a conducting loop and along its central axis. a velocity vector drawn near the magnet indicates that the magnet is moving, and a velocity vector drawn near the loop indicates that the loop is oving. for each case, indicate the direction of the induced current in the wire loop. the clockwise and counterclockwise directions are defined with respect to an observer viewing the loop from below.
Counterclockwise, Because north pole of magnet is moving towards loop and emf is induced in counterclockwise. b) Clockwise; Because north pole of magnet is moving away from the loop and flux is decreasing through loop so clockwise emf is induced.
Anything that creates a magnetic field is considered to be a magnet. The most noteworthy characteristic of a magnet—a force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc.—is caused by this invisible magnetic field, which also attracts or repels other magnets.
A piece of equipment built from a substance that has been magnetized and produces a consistent magnetic field is called a permanent magnet. A typical illustration is a fridge magnet used to keep notes on the door of the refrigerator. Ferromagnetic materials are those that are both capable of magnetization and are attracted to magnets strongly (or ferrimagnetic).
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1. Which, if any, of these people are nearsighted (myopic)?
List the first letter of all correct answers in alphabetical order. For example, if Avishka and Edouard are the only nearsighted ones, enter AE.
2.Which, if any, of these people require bifocals to correct their vision?
3.Which, if any, of these people's vision can be corrected using only converging lenses?
Please show work and units.
The near point (the smallest distance at which an object can be seen clearly) and the far point (the largest distance at which an object can be seen clearly) are measured for six different people.
Nearsightedness affects Berenice, Chadwick, and Edouard.The near point, or minimum distance at which an object can be seen clearly with the unaided eye, is 25 cm.The greatest distance at which an object can be seen clearly with the unaided eye is called the far point. Diverging lenses, which create virtual images at the user's far point when presented with things at infinity, can be used to treat nearsightedness.
Does Z come after A in the alphabet?The sort order for words and letters is A through Z.Most frequently, an alphanumeric sort is used for data including both numbers and letters and words, such as address lines. This means that Z to A is sorted first, then 9-0, before any further operations.
What does a distance mean in mathematics?The distance is explained.The distance between any two points along a line or line segment.
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3. What photonic energy would be required to move an electron from energy level:
a.
1 to 5?
b.
1 to 3?
c.
d.
e.
2 to 3?
2 to 4?
2 to 6?
Answer:
Energy of nth orbit of H-atom, E
n
=−
n
2
13.6
eV
∴ ΔE=E
5
−E
1
=−13.6(
5
2
1
−
1
2
1
) eV
∴ ΔE=13.6×
25
24
=13.056 eV
A 2. 00 kg, frictionless block is attached to an ideal spring with force constant 300 n/m. At t = 0 the block has velocity -4. 00 m/s and displacement +0. 200 m away from equilibrium.
Position of the mass as a function of time is:
x(t) = 0.3829cos(12.247×t +58.511∘) m
When a mass m is connected to a spring of spring constant k the system executes a simple harmonic motion with angular frequency ω =
[tex]\sqrt{k/m[/tex]
The location of the mass at any given time t is given by
x(t) = A cos (ωt+Ф)
Where Ф = Initial phase
A = amplitude
solving our question:
mass of block m = 2 kg
spring constant k = 300 n/m
At t = 0, the velocity of the block v(0) = -4.00m/s
displacement x(0) = -0.200 m
angular frequency w = [tex]\sqrt{k/m[/tex] = 300/2 = 12.247 [tex]radian^{-1[/tex]
So, position of the mass at time t is written as
x(t) = A cos ( 12.247×t+Ф)
0.2 = A cosФ
and v(t) = -12.247×A×sin(12.247 t +Ф)
-4 = -12.247 A sinФ
A sinФ = 0.3266
squaring and adding the two equations
[tex]A^{2}[/tex] = [tex]0.3266^{2}[/tex] + [tex]0.2^{2}[/tex]
and cosФ = 0.2/0.3829
Ф = 58.511
Therefor position of the mass is
x(t) = 0.3829cos(12.247×t +58.511∘) m
The given question is incomplete, the complete question is
A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m. At t = 0, the block has velocity -4.00 m/s and displacement +0.200 m. Write an equation for the position as a function of time.
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according to the special theory of relativity, all laws of nature are the same group of answer choices in all reference frames. in all uniformly moving reference frames. for both linear or circular motion. all of the above none of the above
According to the special theory of relativity, all laws of nature are the same in all uniformly moving reference frames. Option B.
Einstein's Special Theory of Relativity states that the same laws of physics apply to all inertial frames of reference and that the speed of light is the same for all observers. The basic laws of physics are the same for all inertial frames of reference.
Because otherwise, we wouldn't call it a fundamental law. Call them contingency laws and look for deeper fundamental laws that are invariant under a larger set of symmetries. Describes the propagation of matter and light at high speed. It is based on the constancy of the speed of light and the relativity principle in all inertial frames of reference.
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a 2.0 kg , 20-cm-diameter turntable rotates at 140 rpm on frictionless bearings. two 510 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick.
What is the turntable's angular velocity, in rpm, just after this event?
The turntable's angular velocity, in rpm, just after this event is 39,72 rad/m
How to determine angular velocity?We can use the law of conservation of angular momentum.
Its a law that states the amount of momentum before and after producing is equal or constant collision.
The equation:
L₁ = L₂
I₁ x ω₁ = I₂ x ω₂
We have,
Mass of the table = 2.0 kg ⇒ m₁
Diameter of the table = 20 cm = 0.2 m ⇒ d, so R = 0.1
Angular speed = 140 rpm = 14.65 rad/s ⇒ ω₁
Mass of the blocks = 520 g = 0.52 kg ⇒ m₂
So,
I₁ x ω₁ = I₂ x ω₂
(½ mR²) ω₁ = (½ mR² + m₁R² + m₂R²) ω₂
(½ (2.0) (0.1)² (14.65) = (½ (2.0) (0.1)² + (2.0) (0.1)² + (0.52) (0.1)² ω₂
0.1465 = (0.01 + 0.02 + 0.02 + 0.0052) ω₂
ω₂ = 4.16 rad/s ⇒ 39,72 rad/m
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What is the most accurate way to describe the motion of bird in flight?
A. The bird flew real far and fast
B. The bird flew 5 miles over the course of 1 hour
C. The bird flew 5 miles per hour, directly north
D. The bird flew 5 miles
Answer:
Explanation:
A. The bird flew real far and fast.
"far" and "fast" describe the type of motion.
If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion?.
The frequency of simple pendulum will become 1/√2 times of original frequency if length of simple pendulum is doubled.
We know that frequency of simple pendulum is given by the formula
=>f=(1/2π)×√g/√l
where f is the frequency of simple pendulum,
l is the length of simple pendulum
and g is the acceleration due to gravity
We can see that frequency is directly proportional to length of pendulum and inversely proportional of acceleration due to gravity. Since value of acceleration due to gravity remains same on observations, therefore only factor where frequency gets changed when length of simple pendulum gets changed. 1/2π is constant value, it does not affected on changing the length of simple pendulum.
So, if we double the length of simple pendulum, new frequency will become
New Frequency=(1/2π) × (√g / √2l)
=>New Frequency=(1/√2)×[(1/2π×√g/√l)]
=>New Frequency=(1/√2)f.
Hence, new frequency will become 1/√2 times of original frequency.
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what is the wavelength of light that is deviated in the first order through an angle of 15.0 ∘ by a transmission grating having 5000 slits/cm ? assume normal incidence.
The wavelength of light will be 5.17 x10⁻⁷ m
Since we are given the angle of 15.0, and transmission grating having 5000 slits/cm, for a normal incidence
since we know the diffraction of first-order formula is :
d sineθ =nλ ,and the separation os the slits are : d= 1/N
=>d=1/ 5000 = 2x 10^-6 m
Now subsituing the value of d in the main formula of diffraction, where we get the wavelength of :
λ = dsine θ/ n
since here n is 1
λ= 2x 10 *sine 15.0/ 1
λ = 2x 10^-6 *0.2588 = 5.17 x10⁻⁷ m
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an image of the lateral skull taken at 68 kvp, 20 mas and is repeated. if the kvp is increased to 78 kvp, what should be the new mas?
The new mAs should be a half of 20mAs, which is 10mAs.
How does kVp and mAs affect image quality?The first experiment demonstrated that, when the film density is held constant, the resolution and image contrast % decrease with increasing kVp and increase with increasing mAs, respectively.In the second portion of the experiment, several mAs were selected, and many kVps were employed for each mAs. The radiographs were read by five observers.The second experiment demonstrated that the correlation between kVp and resolution and between kVp and the picture contrast % were the same as in the first experiment when the film density was not maintained constant. The relationship between mAs and resolution and mAs and the percentage of picture contrast was, however, hardly significant.Learn more about kVp and mAs refer to :
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what is the mass-to-light ratio of a 0.8 msun white dwarf with luminosity 0.001 lsun ? here, msun is the mass of the sun, and lsun is the sun's luminosity g
The mass-to-light ratio will be [tex]\frac{M_{\omega D}}{L_{\omega D}}=4.6 \times 10^6 \mathrm{~kg}/ watt[/tex]
As per the data given in the question,
We have,
Mass of white dwarf [tex]$M_{\omega_D}=0.8 M_{\text {sun }}$[/tex] where [tex]$M_{\text {sun }}$[/tex] is the mass of the Sun
We have, Luminosity of the white dwarf [tex]$$L_{\omega_D}=0.001 L_{\text {sun }} .$$[/tex] ,where [tex]$L_{\text {sun }}$[/tex] is the Luminosity of the Sun.
Calculating Mass to light Ratio =M/L
Mass to light Ratio for Sun, [tex]\frac{M_{\text {sun }}}{L_{\text {sun }}}=\frac{1.989 \times 10^{30} \mathrm{~kg}}{3.867 \times 10^{26} \text { watts. }}[/tex]
[tex]\frac{M_{\text {sun }}}{L_{\text {sun }}}=Y_0 \approx 5133 \mathrm{~kg} / \text { watt }[/tex]
Hence,
[tex]\frac{M_{w D}}{L_{w D}}=\frac{0.9 M_{\text {sim }}}{0.001 L_{\text {sun }}}=900 \frac{M_{\text {sun }}}{L_{\text {sun }}}\\\\\therefore \frac{M_{\omega D}}{L_{\omega D}}=900 Y_{\odot}[/tex]
[tex]\frac{M_{\text {wD }}}{L_{\text {sun }}} & =900 \times(5133) \mathrm{kg} / \text { watt } \\\\=4.6 \times 10^6 \mathrm{~kg} / \text { watt. }[/tex]
Therefore, [tex]\frac{M_{\omega D}}{L_{\omega D}}=900 Y_0=4.6 \times 10^6 \mathrm{~kg}/ watt[/tex]
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the air in an inflated balloon (defined as the system) warms over a toaster and absorbs 115 j of heat. as it expands, it does 77 kj of work. what is the change in internal energy for the system? (ans: -77 kj)
ΔU = q+w The system does work, which gives a negative value: -77kJ
The heat absorbed is q, which is 115J = 0.115kJ
Change of internal energy= 0.115kJ + (-77kJ) = -76.885kJ
Taking two sig figs: -77kJ
What is internal energy and an illustration?
The term "internal energy" describes the power contained in all of the chemical bonds that hold a system's molecules together as well as the kinetic energy of the molecules themselves. Every time heat, work, and internal energy interact, there is a transfer of energy and a conversion.
What makes it internal energy?
W. Thomson first used the word in thermodynamics in 1852. (the later Lord Kelvin). Because certain energy contributions are ignored, the adverb "internal" is used. For instance, the entire system possesses kinetic energy when it is moving uniformly.
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an automobile engine provides 508 joules of work to push the pistons and generates 2277 joules of heat that must be carried away by the cooling system. calculate the change in the internal energy of the engine. e
Answer:
Explanation:
Given:
Q = 2277 J
A = 508 J
__________
ΔU - ?
ΔU = Q - A
ΔU = 2277 - 208 = 2069 J
if the planes were not frictionless, which block would have the most mechanical energy at the bottom of the inclined plane?
Since. The frictionless incline and uniform height "h" at which all the blocks are released. Therefore, the total energy at the bottom of the incline will be equal to the initial potential energy (PEi = mgh). - In line with energy conservation.
What is kinetic energy?Kinetic energy is the power that an object has as a result of motion. If we want to accelerate an object, we have to exert force. Applying force requires effort on our part. When the project is complete, the item will be moving at a new, constant speed because energy has been transferred to it.
In other words, the amount of work done is equal to how much the object's K.E. has changed! This is the relationship between Kinetic energy and Work Done, or the Work-Energy Theorem. In other words, the change in an object's kinetic energy represents the work done on it. W = Δ(K.E.).
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the aorta carries blood away from the heart and eventually branches into a large number of capillaries that distribute the blood to various body organs. if for an average person, the aorta has a radius of 1.2 cm and blood travels through it at a speed of 36 cm/s and the capillaries have an average radius of 5.0 10-4 cm and blood travels through them at a speed of 0.008 cm/s, determine the approximate number of capillaries in the human body.
13.7 × [tex]10^{8}[/tex], the approximate number of capillaries in the human body, that are carrying blood from the aorta.
What is Aorta?
A huge, cane-shaped blood channel called the aorta carries oxygen-rich blood to your body. It travels across the chest and belly after beginning in the lower left corner of the heart. Blood arteries leave the aorta along the way and extend to the organs and supporting tissue.
What are the Calculations?
The speed of the blood in the aorta is v = 35cm/s
the radius of the aorta is r = 1.1 cm
the area of the cross-section of the aorta is A =π[tex](1.1cm^{2} )[/tex]
the speed of the blood in the capillary v ' = 0.078 cm/s
radius of the capillary is r = 6.3 × [tex]10^{-4}[/tex]cm
Now area of cross-section of capillary is A' = Π[tex](6.3 * 10^{-4}) ^{2}[/tex]
Let there be N number of capillaries
The volume rate of flow in the aorta is the total sum of the volume rate of flows in the capillaries.
Then Av = N*A' *v'
Π(1.1cm)² (35 cm/s) = N * (Π[tex](6.3 * 10^{-4}) ^{2}[/tex])* 0.078 cm/s
N = 13.7 × [tex]10^{8}[/tex]
Hence, 13.7 × [tex]10^{8}[/tex], the approximate number of capillaries in the human body, that are carrying blood from the aorta.
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the shanghai maglev train takes 8 minutes to travel a distance of 30.5 kilometres.work out the average speed of the train. give your answer in kilometres per hour.
The average speed is 228.75 km/h.
What is speed?Speed is the time rate at which an object is travelling along a route. To put it another way, velocity is a vector, whereas speed is a scalar value.
What is the speed-distance formula?
Speed is equal to distance traveled and time spent.
Distance is determined by multiplying the time and the speed.
Time is determined by speed and distance.
Given:
Distance = 30.5 kilometers
Time= 8 minutes
= 8/60 hour = 2/15 hour
Now, average speed equals distance / time.
= 30.5 x 15/2
= 228.75 Km/ h
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light inside an optical fiber tube hits the wall between the tube and air. we find that if the incident light makes and angle of 30 degrees with respect to the tube wall it is totally internally reflected, but if the angle is greater, it is not. what is the index of refraction of the tube?
The total internal reflection is the complete reflection of a ray of light within a medium such as water or glass from the surrounding surfaces back into the medium. The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.
This is an internal total reflection exercise, the equation that describes this process is
sin θ = n₂ / n₁
where n₂ is the index of the incident medium and n₁ the other medium must be met n₁> n₂
θ = sin⁻¹ n₂ / n₁
let's calculate
30⁰ = sin⁻¹ (n₂ / n₁)
Therefore, if the angle is greater then the totally internal reflection also increases.
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how much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.00 s ? assume it is a solid cylinder.
The net work required is equal to (1/2)mr^2 x 1/8 x 360 = 90mr^2.
What is work?
Work in physics is the energy that is transmitted to or from a object when a force is applied along a displacement. In its simplest form, it equals this same product of a force's magnitude and the distance travelled for a constant force directed in the same direction as the motion. When a force is applied, it is said to have a component that moves the point of application, or it is said to have positive work. If the component of a force at the point of application is in the opposite direction of the displacement, the force is said to do negative work.
The net work required to accelerate a solid cylinder from rest to a rotation rate of 1 revolution per 8.00 s is equal to the torque multiplied by the angle of rotation. Since the angle of rotation is 360 degrees, the net work required is equal to the torque multiplied by 360 degrees.
The torque is equal to the moment of inertia of the cylinder multiplied by its angular acceleration. The moment of inertia of a solid cylinder is equal to (1/2)mr^2, where m is the mass of the cylinder and r is its radius. The angular acceleration is equal to the change in angular velocity divided by the time interval. In this case, the angular velocity is 1 revolution per 8.00 seconds, so the angular acceleration is 1/8 rad/s^2.
Therefore, the net work required is equal to (1/2)mr^2 x 1/8 x 360 = 90mr^2.
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Objects A and B interact with each other via both conservative and nonconservative forces. Let KA and KB be the kinetic energies, U be the potential energy, and Eint be the thermal energy. If no external agent does work on the objects then:
A. KA + U is conserved
B. KA + U + Eint is conserved
C. KA + KB + Eint is conserved
D. KA+KB+Uisconserved
E. KA +KB +U +Eint is conserved
(D) Since both conservative and non-conservative forces are involved, so the sum of all of them will be conserved. The kinetic energy, potential energy and thermal energy all together is conserved in the system.
What is Kinetic energy?
A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion. The type of motion can be vibration, rotation on an axis, translation (or travel along a path from one place to another), or any combination of these.
What is Thermal energy?
Heat is the transfer of thermal energy, whereas thermal energy is the entire internal energy of a system's temperature.
Hence, the kinetic energy, potential energy and thermal energy all together is conserved in the system.
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you discover a new cluster of galaxies, and the brightest galaxy in this new cluster has an infrared color ratio of 0.65. based on the data in the graph, what is the approximate distance to this new cluster?
The approximate distance to this new cluster is 1 billion light-years.
What is a Galaxy Cluster?
A galaxy cluster, also known as a cluster of galaxies, is a formation made up of a large number of gravitationally connected galaxies, typically with masses between 1014 and 1015 solar masses. Before superclusters were found in the 1980s, they were thought to be the largest known structures in the universe and are now the second-largest known gravitationally bound structures in the cosmos after galaxy filaments.
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The approximate distance to this new cluster is 1 billion light-years.
What is a Galaxy Cluster?
A galaxy cluster, also known as a cluster of galaxies, is a formation made up of a large number of gravitationally connected galaxies, typically with masses between 1014 and 1015 solar masses. Before superclusters were found in the 1980s, they were thought to be the largest known structures in the universe and are now the second-largest known gravitationally bound structures in the cosmos after galaxy filaments.
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a sled of mass 1375 kg has four identical rockets. with all four rockets burning, the sled initial acceleration is 45.0 m/s2. assume that the force of friction opposing the motion is 450 n, what is the force exerted by the rockets?
The force exerted by the rockets is 62,325 N.
What is the force exerted by the rockets?
The force exerted by the rockets is determined by applying Newton's second law of motion.
According to Newton's second law of motion, the force exerted by an ob ject is directly proportional to the product of mass and acceleration of the object.
F(net) = ma
where;
F(net) is the net force on the objectm is the mass of the objecta is the acceleration of the objectF - Ff = ma
where;
F is the force exerted by the rocketsFf is the force of frictiona is the acceleration of the sledF - 450 = (1375 x 45)
F = 61,875 + 450
F = 62,325 N
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an aluminum nail has an excess charge of 4.8 c. how many electrons must be added to the nail to make it electrically neutral?
3.3×10⁻²⁰ electrons must be added to the nail to make it electrically neutral.
Why is an atom neutral in terms of electricity?Although heavier atoms typically have more neutrons than protons, there are always the same number of electrons in an atom as there are protons. As a result, an atom is electrically neutral overall. An atom becomes positively charged when one or more of its electrons are taken away.
An atom has no overall charge when it is electrically neutral, which is defined as this. Positively charged particles called protons, negatively charged particles called electrons, and non-charged particles called neutrons make up atoms.
q = ne
q = 1.6×10⁻¹⁹
e = 4.8μc
n = ?
1.6×10⁻¹⁹ = ne
n = 1.6×10⁻¹⁹ /4.8
n = 3.3×10⁻²⁰.
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what do we mean by dimension in the context of relativity? what do we mean by dimension in the context of relativity? the number of sides that we can see when we look at an object the size of an object the letter used to represent length mathematically the number of independent directions in which movement is possible
The number of independent directions in which movement is possible dimension in the context of relative motion.
To discuss relative motion in one or more dimensions, the idea of reference frames was initially developed. When we refer to an object's velocity, we are referring to it in relation to the so-called reference frame. When measuring an object's velocity in daily life, the ground or the earth is assumed to be the reference frame.
As an illustration, if you are travelling in a train that is moving at 100 km/h, then from the perspective of another passenger in the train, you are moving at a speed of zero. He says you're standing still. However, if a bystander sees you standing on the ground outside the train, he claims that you are going with the train.
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What is the maximum possible amplitude the end of the board can oscillate at, so that a pebble placed there never loses contact with the board at any point of the oscillation?.
If the pebble on the board do not want to lose contact with one another, so the maximum acceleration would be equal, rather would be equal to four pies square times the frequency squared times the amplitude and this has to be less than G.
Oscillation is defined as the process of repeating variations of any quantity or measure about its equilibrium value in time.Oscillation can also be defined as a periodic variation of a matter between two values or about its central value.However, oscillations also occur in dynamic systems or more accurately in every field of science. Even the beating of our heart creates oscillations.The amplitude of a wave is the maximum displacement of the particle of the medium from its equilibrium position.
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on a keyboard, you strike middle c, whose frequency is 256 hz. a) what is the period of one vibration of this tone? (in ms)
The period of the vibration is 3.9ms
What is Period of a vibration?The period (T) of a vibration is the time to complete one oscillation or revolution and is measured in seconds. The period of vibration is given as
T= 1/F
For example, if the period of a vibration is 0.1 second (one vibration takes 0.1 second), then the frequency of the vibration is 1/0.1=10 vibrations per second or 10 hertz.
Similarly if the frequency of a vibration is 256hz, the period T= 1/F= 1/256=0.0039s
1second= 1×10³ms
therefore 0.0039s = 0.0039×10³= 3.9ms
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a block of mass 100kg falls down a waterfall. the waterfall is 5m high. calculate: a) the potential energy of the block at the top of the waterfall. b) the kinetic energy of the block at the bottom of the waterfall. c) the magnitude of the velocity of the block at the bottom of the waterfall.
(a) Potential energy can be calculated using the formulae
[tex]P= mgh[/tex]
where,
[tex]m[/tex] is the mass of block
[tex]g[/tex] is acceleration due to gravity
[tex]h[/tex] is height
Therefore,
[tex]P= (100)(9.8)(5)[/tex]
[tex]P=4900[/tex]
(b) Kinetic Energy can be calculated using the formulae
[tex]\frac{1}{2} mv^{2}[/tex]
for this velocity ([tex]v[/tex]) can be calculated using
[tex]v=\sqrt{2gh}[/tex]
[tex]v=\sqrt{(2)(9.8)(5)}[/tex]
[tex]v=9.899[/tex]
now,
[tex]k=\frac{1}{2}mv^{2}[/tex]
[tex]k=-\frac{1}{2}(100)(9.8)^{2}[/tex]
[tex]k=-5000J[/tex]
(c) Velocity ([tex]v[/tex]) can be calculated using
[tex]v=\sqrt{2gh}[/tex]
[tex]v=\sqrt{(2)(9.8)(5)}[/tex]
[tex]v=9.899[/tex]
What is Potential energy?
Potential energy is a type of energy that results from a change in position or state.
What is kinetic energy?
The kinetic energy of something is the amount of work it can do due to its motion.
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light rays coming from an object are observed to be parallel. what does this imply about the distance to the object
Since the distance from the source point is always finite, light beams are never precisely parallel in reality. So, theoretically, we may refer to two rays as being parallel if their spacing is near to zero and their distance traveled is about infinite.
What is a light beam and give an example?
Three types of light beams are possible. Both convergent and divergent, they are parallel. A parallel Light Beam is created when the rays from a distant point source move in the same direction alongside one another. An illustration of a parallel beam of light is the sun Ray.
What materials make up light beams?
Many photons in the same condition make up coherent beams, including laser and radar beams. A light beam's photon count is more of a measurement of its brightness than of its breadth.
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