1.21 x 10^26 photons with a wavelength = 12 cm, must be absorbed to raise the temperature of your eye by 3.0 C. Assume the mass of the eye is 11 g and its specific heat is 4.0 J/g K.
λ = 12 cm = 0.12 m
T=3 C degrees.
m = 11 g, or 0.011 kg, and c = 4 J/g K, or 4000 J/kg K.
Suppose there are n photons.
One photon's energy is equal to hc/.
h is the Planck constant, and let c represent the speed of light.
n photons' energy, E = n h c /
Since this energy is used to increase the eye's warmth, n h c / = m c. Δ T\sn = m c T = (0.011 x 4000 x 3 x 0.12)/(6.63 x 10-34 x 3 x 108), where n = 1.21 x 1026.
The number of photons is 1.21 x 1026.
The term "photon" refers to an elementary particle that is a quantum of the electromagnetic field, which includes electromagnetic radiation like light and radio waves, as well as the force carrier for the electromagnetic force. The word "photon" is derived from the Ancient Greek "phôs, phtós," which means "light." The speed of light in a vacuum, which is 299792458 m/s (or 186,282 mi/s), is the only speed at which photons can travel because they have no mass[a]. The boson class includes the photon.
The behavior of photons exhibits wave-particle duality, exhibiting characteristics of both waves and particles. Like other elementary particles, photons are best understood by quantum mechanics. The contemporary photon theory was developed by Albert Einstein in the first two decades of the 20th century, building on the work of Max Planck.
Learn more about photons here:
https://brainly.com/question/14758126
#SPJ4
solar panels generate an average of about 200 watt/m2. estimate the area (in meter2) needed to provide this annual energy usage.
The area 63000 m² needed to provide this annual energy usage.
What is annual energy usage?The term "Annual Usage" refers to the estimated annual power consumption at the Address, computed in kWh, as inputted into the programme or as recalculated in the case that more project watts are requested.
A normal household in Arizona uses about 1050 KWh of energy per month .
So annual consumption of energy is about 12600 KWh that is 12600000 watt-hour.
Average solar panel generate about 200 watt per square meter area.
Total area needed to provide this power can be calculated by the formula.
Total power required= total area × total power generation by solar panel.
Here, total power =12600000 watt hour.
Power generation by solar panel is 200 watt/ m²
So total area= total power required/ power generation by solar panel.
Total area= 12600000/200 m²
Total area= 63000 m².
So total area required to generate that amount of power is about 63000 m².
Here power generation of 200 watt/m² by solar panel indicates that the solar panel has efficiency of about 20% that means it can convert only 20% of solar irradiance ( which is nearly about 1000 watt per m²).
To know more about annual energy usage refer to:
https://brainly.com/question/27438014
#SPJ1
The complete question is as follows:
Estimate the annual energy consumption (in watt-hour) of a typical house in Arizona.
Solar panels generate an average of about 200 Watt/m² . Estimate the area (in m²) needed to provide this power.
Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 41 cm. (a) How much work is needed to stretch the spring from 32 cm to 37 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length will a force of 10 N keep the spring stretched? (Round your answer one decimal place)
Stretching the spring from 32 cm to 37 cm requires 0.99J of labor.
A force of 10 N will extend a spring to its normal length of 363 cm.
These are the characteristics of a spring's spring constant, k.
1) It takes force kx to extend the spring's length.
2) A spring with length x stretched has energy kx²/2.
You can calculate k using the information provided in the manner shown below.
Work of 5J gave the spring energy k(39-28)²/2.
Therefore
5 = k(39-28)²/2
k = 10/121 N/cm
(a)
At 33cm the spring has energy k(33-28)²/2.
At 35cm the spring has energy k(35-28)²/2.
The extra energy needed is
(10/121)(35-28)²/2 - (10/121)(33-28)²/2 = 120/121 = 0.99J
(b)
30 = kx
x = 30/k = 363cm
An elastic device known as a spring is used to store mechanical energy and release it in response to the removal of an opposing force. Without the aid of motors or other powered devices, if you need to exert effort to move something or keep it in place.
Learn more about spring here:
https://brainly.com/question/14655680
#SPJ4
How to find the net force of on an object?
Answer:
Look for the formula!
Explanation:
the net force formula is FNet = Fa + Fg + Ff + FN.
FN is the force acting on a body.
here are the hints to find one in the future!
Fa is applied force,
Fg is the gravitational force,
Ff is the frictional force,
FN is a normal force.
if electronmagnetic radiatn a has a lower frequency than electromagnetic radion then b, then compared to the wavelegnth of a is ____.
As the frequency of radiation A is lower than that of radiation B. Then the wavelength of A will be more than that of radiation B.
The formula for the wavelength of radiation is
λ = v/f
where λ is the wavelength of the radiation
c is the speed of the radiation
f is the frequency of this radiation.
Both the frequency and wavelength were indirectly proportional to each other. The longer the wavelength, the lower will be the frequency and vice versa. The speed at which a wave propagates is equal to the product of its frequency and wavelength, justifying the link between these two parameters.
Learn more about the electromagnetic radiation in
https://brainly.com/question/4185163
#SPJ4
Nancy is running around a circular track encircling the reservoir where she grew up in Boston. As she's running, which of the following is true?
A. Her shoes need to exert a small, radially inward force on the ground to keep her body moving along the circular track.
B. Her shoes need to exert a small, radially outward force on the ground to keep her body moving along the circular track.
C. Her shoes do not need to exert any force in the radial direction to keep her moving around the circle.
Option B; Her shoes need to exert a small, radially outward force on the ground to keep her body moving along the circular track.
A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude. Force is applied at a location known as the application, and the direction in which it is applied is referred to as the force's direction. Force is the pushing or pulling of an object. When objects interact with one another, push and pull are generated. You can also describe force using words like stretch and squeeze.
A mass-containing object's velocity changes when a push or pull is applied, according to the definition of force in physics.
Motion in physics is characterised as a shift in position with respect to time. Motion is just the movement of something, as opposed to
Learn more about force here:
https://brainly.com/question/13191643
#SPJ4
A beam of protons moves in a circle of radius 0.25 m. The protons move perpendicular to a 0.44-T magnetic field. (a) What is the speed of each proton? (b) Determine the magnitude of the centripetal force that acts on each proton.
(a) Each proton travels at a speed of V= 6.898*106 m/s.
(b) The magnitude of a centripetal force acting on each proton is Fc = 3.97*1013.
What force has centripetal motion?Centripetal or centrifugal are the forces produced when rotating objects. An object is kept moving in a circle by the centripetal force, which is always directed to towards the center of the circle.
Three instances of centripetal acceleration is?The stress on the rope pushes the object toward the center when you spin a ball around a string or twirl a lasso. When a car is spinning, the force between the earth and also the wheels produces the centripetal force.
Briefing:
r = 0.25
q = 1.6 * 10⁻¹⁹C
B = 0.44 T
m = 1.67 * 10⁻²⁷ kg
Fb = Fc
qvB = mv²/r
qB= mv/r
(1.6 * 10⁻¹⁹)*0.44 = 1.67 * 10⁻²⁷ * v/2
v= 6.898* 10⁶ m.s⁻¹
centripetal force, Fc = m*v2/r
Fc = 1.67 * 10⁻²⁷ * (6.898* 10⁶)2/0.2
Fc = 3.97*10⁻¹³
To know more about centripetal force visit:
https://brainly.com/question/11324711
#SPJ4
somebody please helpppp
Answer:
6 is Electrical
1 is Thermal
13 is Mass and Acceleration
3 is Force and Distance
2 is Work and Time
4 is Mechanical
Explanation:
NOTE: Sorry if I missed any and sorry if some aren't correct, but I think they are :)
Germanium, element 32 on the Periodic Table, is shown here. If a proton is added to the nucleus of germanium, what outcome(s) would occur? Select ALL That apply.A) The atom would increase in mass but would remain germanium.
B) The atom would become arsenic and have different properties.
The atom would remain germanium, but it would have a positive charge.
D) The atom would increase in mass and have different elemental properties.
E) The atom would expel a neutron to maintain a constant mass and chemical properties.
If a proton is added to the nucleus of germanium, the atom would increase in mass and have different elemental properties (option D).
What is mass number?Mass number of an element is the total number of protons and neutrons in an atomic nucleus. The atomic number of the element is the number of protons contained in the nucleus of the atom.
Elements are arranged in an hierarchical order on the periodic table, which is a tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group (column).
According to this question, germanium is an element on the periodic table with atomic number of 32. This means that germanium has 32 protons in its nucleus. The number of protons of an atom represents the identity of that element.
This means that adding a proton to the nucleus of germanium atom will increase it to 33, hence, changing the identity of the element.
Therefore, option D correctly describes what will happen if a proton is added to germanium atom.
Learn more about atomic number at: https://brainly.com/question/16858932
#SPJ1
an empty, isolated parallel plate capacitor has stored energy of 1.34 J. Then a material with a dielectric constant of 7.20 is inserted between the plates. How much energy is now stored in the capacitor.
The energy stored in the capacitor after the dielectric material is inserted is approximately 9.648 joules.
How do you calculate the stored energy?The energy stored in a capacitor is given by the formula:
E = 1/2 * C * V^2
Where E is the energy stored in the capacitor (in joules), C is the capacitance of the capacitor (in farads), and V is the voltage across the capacitor (in volts).
When a material with a dielectric constant of 7.20 is inserted between the plates of the capacitor, the capacitance of the capacitor increases by a factor of 7.20. This means that the energy stored in the capacitor also increases by a factor of 7.20.
Therefore, the energy stored in the capacitor after the dielectric material is inserted is:
E = 1.34 J * 7.20 = 9.648 J
So the energy stored in the capacitor after the dielectric material is inserted is approximately 9.648 joules.
To know more about dielectric constant, visit:
brainly.com/question/16751858
#SPJ1
the atmospheric density at an altitude of 2500 km is about 1 molecule/cm3 . (a) assuming the molecular diameter of 2.0 x 10-8 cm, find the mean free path predicted by the equation:
The mean free path equation is 0.19 X 10⁻⁸ cm.
The mean free path is average distance an object will move between collisions. The actual distance a particle, such as a molecule in a gas, will move before a collision, called free path, cannot generally be given because its calculation would require knowledge of the path of every particle in the region.
Density = Mass per unit volume = N/V = 1 molecule/cm³
Altitude = 2500 Km
Diameter = d = 2 X 10⁻⁸ cm
Mean free path = λ =
= λ = 1 / [√(2πd²(N/V))]
= λ = 1 / [√(2 X 3.14 X ( 2 X 10⁻⁸ )²X (1))]
= λ = 1 / √ (25.12 X 10⁻¹⁶ )
= λ = 1 / 5.011 X 10⁻⁸
= λ = 0.19 X 10⁻⁸ cm
To know more about Mean free path:
https://brainly.com/question/13082854
#SPJ4
student uses a heavy ball attached to a rope as a pendulum in an experiment. the ball is hanging so the rope is vertical. the student pulls the ball back and releases it from rest, as shown. comparing the measured value to the expected value of the speed of the ball at the lowest point of its swing, the student finds that the ball is moving slower than expected. which of the following may account for the slower-than-expected speed?
the speed of the ball lowest point of its swing, the student finds A. The student measured the mass of the ball to be higher than it actually is. B. The student did not account for the mass of the rope. С. The angle of the swing was so high that air resistance had a significant effect. D. The ball was accidentally given a small push when it was released. E. The student did not account for the stretch of the rope caused by the weight of the ball.
Answer:-(E)
The speed of ball is slower than expected speed due to stretch in length of string. The swing rate, or frequency, of the pendulum is determined by its length. The longer the pendulum, whether it is a string, metal rod or wire, the slower the pendulum swings. Conversely the shorter the pendulum the faster the swing rate.
Mass of rope or ball does not effect speed,time period or frequency.The air resistance has no significant effect on speed of ball.
Frequency is the number of occurrences of a repeating event per unit time. For clarity, also called temporal frequency, which is different from angular frequency. Frequency is measured in hertz (Hz) and corresponds to one event per second. Duration is the reciprocal of frequency because duration is the time interval between events.
For example, if the heart beats 120 times per minute (2 hertz), the period T (the interval between repeated beats) is 0.5 seconds (60 seconds divided by 120 beats). value). Frequency is an important parameter used in science and engineering to describe the speed of vibrations and vibrational phenomena such as mechanical vibrations, audio signals (sound), radio waves, and light.
Learn more about frequency here : https://brainly.com/question/254161
#SPJ4
What Are Balanced and Unbalanced Forces?
Balanced forces are equal in size and opposite in direction, whereas unbalanced forces are not equal in magnitude.
When forces are balanced, there's no alter in motion. In one of your circumstances within the last section, you pushed or pulled on an object from opposite directions but with the same force. To have unbalanced forces implies that the force applied in one direction is greater than the force applied within the opposite direction. When unbalanced forces are acting on an object, there's an alteration in speed and/or direction. By applying an unequal force, you'll be able to alter the motion of an object. Unbalanced forces can make an object at rest begin moving, make a moving object halt, or alter the direction and speed of the object.
To know more about balanced force refer to the link brainly.com/question/19127263
#SPJ4
A sound wave travels in air at a speed of 345 m/s. What would be the wavelength of a sound wave of frequency 1200 hz
Answer:
0.29 meters, or 29 centimeters.
Explanation:
The wavelength of a sound wave is related to its frequency and the speed at which it travels. The relationship between these quantities is given by the equation:
wavelength = speed / frequency
Plugging in the values given, we get:
wavelength = 345 m/s / 1200 Hz
This gives us a wavelength of approximately 0.29 meters, or 29 centimeters.
It's important to note that this is an approximate value, as the speed of sound can vary depending on the temperature, humidity, and other factors of the air through which it is traveling.
a friend of yours is loudly singing a single note at 500 hz while racing toward you at 27.2 m/s on a day when the speed of sound is 343 m/s. what frequency do you hear?
With the use of formula, the magnitude of the observed frequency will be 463.3 Hz
What is Doppler Effect ?Doppler effect is the change in frequency of a sound as you move toward or away from the source of the sound.
Given that a friend of yours is loudly singing a single note at 500 Hz while racing toward you at 27.2 m/s on a day when the speed of sound is 343 m/s.
The parameters are;
Speed of sound c = 343 m/sObserver frequency Fo = ?Sound frequency F = 500 HzSpeed of the object v = 27.2 m/sThe frequency you hear can be calculated by using the formula below.
Fo = Fc/(c + v)
Fo = (500 × 343) / (343 + 27.2)
Fo = 171500/370.2
Fo = 463.3 Hz
Therefore, the frequency at which you hear will be 463.3 Hz
Learn more about Doppler Effect here: https://brainly.com/question/22068654
#SPJ1
Pulley Block A of mass 4m is attached by a light string to block B of mass 2m. The string passes over a pulley with negligible friction and of negligible mass. Block A is held a distance h above the ground, as shown. The blocks are released from rest, and block A reaches the ground two seconds later. The value of h is most nearly
a. 13.3 m b. 6.7 m c. 3.3m d. 2 m
The value of h is most nearly 6.7 m. option B is the correct answer
From the question, we have
Body mass m1 = 4 kg
mass of the body on the ground m2 = 2 kg
descent time t = 2s
From Newton's second law,
T - W₁ = m₁ a
-T + W₂ = m₂ a
Solving, we get
a = -3.27 m / s²
y = y₀ + v₀ t + ½ a t²
0= y₀ + 0 +½ a t²
y₀ = ½ 3.27 2²
y₀ = 6.54 m
The value of height is most nearly 6.7 m
Kinematics:
The net force, the mass, and the acceleration of a body are related by Newton's second law.
∑ F = m a
Kinematics investigates how objects move while searching for connections between position, speed, and acceleration.
y = v₀ t + ½ a t²
To learn more about Kinematics visit: brainly.com/question/19818185
#SPJ4
you are watching a new bridge being built near your house. you notice during the construction that two concrete spans of the bridge of total length li
The construction that two concrete spans of the bridge of total length is 2.55m.
What is Linear expansion coefficient ?
The coefficient of linear expansion may be defined as the increase in length per unit length when the temperature is raised 1°C. Thus if the temperature of a rod of length l0 is raised from 0°C to t°C, the new length, lt, will be given by. (21.1)
Linear expansion coefficient of concrete is, [tex]$\alpha=1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}$[/tex]
Final length of the bridge,
[tex]$$\begin{aligned}& L=L_i(1+\alpha \Delta T)=260 \times\left(1+\left(1.2 \times 10^{-5} \times 16\right)\right)=260.04992 \mathrm{~m} \\& y=\frac{1}{2} \sqrt{L^2-L_i^2}=\frac{1}{2} \times \sqrt{(260.04992)^2-260^2}=2.55 \mathrm{~m}\end{aligned}$$[/tex]
To learn more about Linear expansion coefficient visit:https://brainly.com/question/3314727
#SPJ4
according to general relativity, the presence of matter curves spacetime and therefore time slows down in a gravitational field. time is universal. time is different for every object. none of the above
General relativity states that the existence of matter bends spacetime, which causes time to slow down in a gravitational environment.
Explain the term general relativity?It is, in essence, a theory of gravity. The fundamental assumption is that gravity is a bending or curving of space rather than an invisible force which draws items together.
An item warps the space surrounding it more dramatically the more large it is.According to Einstein's general theory of relativity, matter or energy causes a distortion of space (or more specifically, spacetime) known as gravity. A large item produces a gravitational field by distorting the geometry of the spacetime it is located in.Thus, general relativity states that the existence of matter bends spacetime, which causes time to slow down in a gravitational environment.
To know more about the general relativity, here
https://brainly.com/question/23896217
#SPJ4
light striking a metal surface causes electrons to be emitted from the metal via the photoelectric effect. part a in a particular experiment to study the photoelectric effect, the frequency of the incident light and the temperature of the metal are held constant. assuming that the light incident on the metal surface causes electrons to be ejected from the metal, what happens if the intensity of the incident light is increased? check all that apply. view available hint(s)for part a in a particular experiment to study the photoelectric effect, the frequency of the incident light and the temperature of the metal are held constant. assuming that the light incident on the metal surface causes electrons to be ejected from the metal, what happens if the intensity of the incident light is increased?check all that apply. the work function of the metal decreases. the number of electrons emitted from the metal per second increases. the maximum speed of the emitted electrons increases. the stopping potential increases.
The correct answer is that the number of electrons emitted from the metal per second increases as the intensity of the incident light is increased.
This is due to the fact that more energy is being absorbed by the metal and so more electrons can be excited to a higher energy level and then emitted through the photoelectric effect. The work function of the metal remains constant, as does the temperature of the metal.
The maximum speed of the emitted electrons and the stopping potential will increase as the intensity of the incident light increases since more energy is being absorbed and more electrons will be emitted with higher kinetic energy.
For more questions like Intensity click the link below:
https://brainly.com/question/13030762
#SPJ4
A hiker of mass 69 kg is going to climb to the top of Mount Tam, which has an elevation of 2.574 ft. 4 50% Part (n) If the hiker starts climbing at an elevation of 395 ft what will their change in gravitational potential energy be, in joules, once they reach the top? Assume the zero of gravitational potential energy is at sea level AV- Grade Summary Deductions 0 Potential 100 Soheissions Atempts remaining: e per attempt detailed view sino cos tan cotano asino acos atan acotano sinho cosh tanho cotanho Degrees O Radians ( 7 8 9 ET 4 5 6 123 + - 0 vo Submit Hini I give up! Hints: deduction per hint. Hints remaining: Feedback deduction per feedback A 50% Part (b) Repeat the above calculation for the change in gravitational potential energy, but assume the gravitational potential is zero at the top of the mountain
a. The gravitational potential energy change is 449.105 kJ
b. The gravitational potential energy change is 449.105 kJ
What is gravitational potential energy?Gravitational potential energy is the energy due to the position of an object. It is given by U = mgh where
m = mass of object, g = acceleration due to gravity and h = height of objectPart (a) If the hiker starts climbing at an elevation of 395 ft what will their change in gravitational potential energy be, in joules, once they reach the top?Since the mountain is 2574 ft high, the gravitational potential energy change is given by ΔU = mg(h' - h) where
m = mass of man = 69 kgg = acceleration due to gravity = 9.8 m/s²h = height at top of mountain = 2574 ft = 2574 × 0.3048 m = 784.56 m and h' = height where he starts climbing = 395 ft = 395 × 0.3048 m = 120.40 mSubstituting the values of the variables into the equation, we have
ΔU = mg(h' - h)
ΔU = 69 kg × 9.8 m/s²(784.56 - 120.40) m
ΔU = 69 kg × 9.8 m/s² × 664.16 m
ΔU = 449104.992 J
ΔU = 449.104992 kJ
ΔU ≅ 449.105 kJ
So, the gravitational potential energy change is 449.105 kJ
Part (b) Repeat the above calculation for the change in gravitational potential energy, but assume the gravitational potential is zero at the top of the mountain?We know that the gravitational potential energy change is ΔU = U' - U = mg(h' - h) where
U' = gravitational potential energy at top = 0, U' = gravitational potential energy at starting point, m = mass of man = 69 kg g = acceleration due to gravity = 9.8 m/s²h = height at top of mountain = 2574 ft = 2574 × 0.3048 m = 784.56 m and h' = height where he starts climbing = 395 ft = 395 × 0.3048 m = 120.40 mSubstituting the values of the variables into the equation, we have
ΔU = U - U' = mg(h' - h)
ΔU = 0 - U' = 69 kg × 9.8 m/s²(784.56 - 120.40) m
ΔU = 69 kg × 9.8 m/s² × 664.16 m
ΔU = 449104.992 J
ΔU = 449.104992 kJ
ΔU ≅ 449.105 kJ
So, the gravitational potential energy change is 449.105 kJ
Learn more about gravitational potential energy here:
https://brainly.com/question/29490129
#SPJ1
Which of the following could not be determined by an observation that only uses spectroscopy?
the chemical composition of a distant star
the angular size of a distant galaxy
the speed at which a distant galaxy is moving away from us
the surface temperature of a distant star
the rotation rate of a distant star
The angular size of a distant galaxy cannot be determined by an observation that only uses spectroscopy.
Astronomical spectroscopy can be used to examine the different wavelengths of light or radiation coming from matter found in space. Astronomical spectra can be observed to determine the chemical composition of stars and galaxies. Continuous spectrum can be examined by a researcher to determine the temperature of the star.
The angular size or angular diameter of a distant galaxy can be measured by Fourier technique. It is a technique that is based on the interference of light. Spectroscopy uses the dispersion of light to calculate a quantity.
To know more about spectroscopy, visit: https://brainly.com/question/27610069
#SPJ4
Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following wave function, where x is in meters and t is in seconds.y = (1.50 m) sin(0.900x) cos(900t)Determine the wavelength of the interfering waves.mWhat is the frequency of the wave?HzFind the speed of the wave.m/s
The speed of the wave is 0m/s.
What is speed?
The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
we can see that k = 0.9
wavelength = 2pi/k = 2pi/0.9=6.98
w = 900
f = w/2pi=900/2pi=143.2
v = w/k = 900/0.9=1000 m/s
If you look at the expression you must see a wave.
y = sin(0.3.x)
the wavelength 0.3.x = 2.pi gives x = 20.9 m
the frequency of the wave is the number of times the wave makes a full cycle per second. So every time 300.t = 2.pi makes a cycle. gives t = 2.pi/300 = 0.021
the frequency = 1/t = 47.8 sec^(-1) or 47.8 Hz
As it is a standing wave the speed is 0.
To learn more about Speed visit:https://brainly.com/question/28224010
#SPJ4
a diving board of length 3.00 m is supported at a point 1.00 m from the end, and a diver weighing 450 n stands at the free end (figure 1). the diving board is of uniform cross section and weighs 260 n. a) Find the magnitude of the force at the support point?
b) Find the direction of the force at the support point? (upward or downward)
c) Find the magnitude of the force at the left-hand end?
d) Find the direction of the force at the left-hand end. (upward or downward)
a)The magnitude of force at the support point is 1455 N.
b)The direction of the force at the supporting point is in equilibrium.
c)The magnitude of force at the left-hand end is 1030 N.
d)The direction of force at the left-hand end is equilibrium.
Given,
length of board = 3m
distance of pivot = 1.0m
weight of diver = 450N
weight of diving board = 260N
a)
The force at the support point is the sum of all forces multiplied by their distance.
[tex]F_s=f_1d_1+f_2d_2\\[/tex]
here,
f1 = force applied by diver=450 N
d1=distance covered by diver i.e. 1.5 m(half the distance of diving board, because as diver it standing at the centre of board/centre of gravity)
f2=force applied by diving board =260 N
d2=distance covered by diving board = 3m
Now,
[tex]F_s=(450*1.5)+(260*3)\\\\F_s=675+780=1455 N[/tex]
c)
The total torque is zero then,
[tex]f_ld_l-f_1d_1-f_2d_2=0[/tex]
here,[tex]d_1 =1.5-1=0.5m,\d_2=2\ and\ d_l=1m[/tex]
[tex]f_ld_l=f_1d_1+f_2d_2\\\\f_l=(260*0.5)+(450*2)=1030N[/tex]
b) and d)
Because the diver exerts force on both sides at the free end, there is no net force exerted on an object, and it is said to be in equilibrium .Thus, the direction of acting force acting is balanced.
To learn more about equilibrium force refer here
https://brainly.com/question/25329636
#SPJ4
A 50 g rock is launched vertically in the air by a slingshot. The slingshot exerts an average force of 53 N on the rock over a distance of 0.750 m.
The work done by the average force is 39.75 J.
What is the work done by the average force?The work done by the average force of the slingshot is calculated by applying the following equation as shown below.
Mathematically, the formula for work done is given as;
W = Fd
where;
F is the average forced is the displacement of the rockThe given parameters include;
average force, f = 53 Ndisplacement, d = 0.75 mThe work done by the average force is calculated as follows;
W = 53 N x 0.75 m
W = 39.75 J
Learn more about work done here: https://brainly.com/question/25573309
#SPJ1
A heavy piece of hanging sculpture is suspended by a 90
c
m
long 5.0
g
steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 95
H
z
.
What is the mass of the sculpture?
The sculpture measures 16.70 kg, which is in accordance with the requirement.
Why would one use wire?Wires, often in the form of a wire rope, are used to transport mechanical loads. In the realm of electricity with telecoms transmissions, a "wire" might be an electrical cable. The "solid core" of this kind of cable might be formed of a wired connection or numerous strands that have been braided or stranded together.
Briefing:Use the string's tautness' fundamental frequency as a formula.
f = (1/2L)*√(T/μ) .... (Eqn1)
Where,
f= frequency in Hertz =95Hz
T = String tension equals Mg
M represents the sculpture's mass, thus what is it?
g= 9.8m/s^2
L= Length of the string=90cm=0.9m
Mass density is equal to mass of string divided by string length.
mass of string =5g=0.005kg
L=0.9m
μ=0.005/0.9 = 0.0056kg/m
Using (Eqn1)
95 = 1/(2*0.9) √(T/0.0056)
171 = √(T/0.0056
Square both sides
29241 = T/0.0056
T= 163.74N
Recall that T =Mg
116.12= M * 9.8
M=163.74/9.8
M= 16.70kg
Consequently, the sculpture weighs 16.70kg.
To know more about Mass visit:
https://brainly.com/question/16452786
#SPJ4
A man runs 300 m west in 60 seconds. He then runs 100m north-west in 20 seconds. What is his average velocity in meter per second?
Answer:
See below
Explanation:
Total distance = 300 + 100 = 400 meters in 60 + 20 = 80 seconds
400 m / 80 s = 5 m/s
If you are using DISPLACEMENT:
displacement = sqrt ( ( 300 + 100 cos 45)^2 + (100sin 45)^2 ) = 377.4 m
in 80 seconds 377.4 / 80 = 4.7 m/s
A force of 600 newtons will compress a spring of 0.5 meters. What is the spring constant of the spring?
Answer:
1200 N/m
Explanation:
k = spring constant = 600 N / .5 m = 1200 N / m
Danger Through Electromagentism Just for fun, you decide to build a powerful hand-held electromagnet that can generate a field strength of 0.5 T. You realize that by using a solenoid with a ferromagnetic core, you can achieve the desired field using a current of only 0.20 amps in the solenoid. You wind a copper wire several hundred times around an iron core, to build a solenoid with a resistance of 30 ohms and selfinductance of 0.50 H. You hook up the solenoid in series with a suitable emf, along with a simple on/off toggle switch. When you flip the switch on, you realize that a 0.5 T magnet is MUCH too strong to handle safely, so you quickly switch it back off againâbut when you do, you receive a really nasty electrical shock from the switch. On the way back from the ER, you wonder what average voltage was generated across the switch, just after it was opened. A quick internet search tells you that a typical current requires about 250 microseconds to die off to zero, after a toggle switch is opened.
Initial magnetic flux through the coil = LI
where L = inductance and I current through the coil
Final magnetic flux when the switch was opened =0
Flux change = LI -0=LI
Average voltage generated across the switch just after it was opened
= |LI/dt|
Given L = 0.50 H
I = 0.20 Amp
dt = 250*10^-6 Sec
Voltage generated = (0.50*0.20)/(250*10^-6)=400 volt
Voltage, also called electromotive force, is surely the energy in line with unit charge. In other phrases, voltage is the difference in electric powered capacity among two factors. Cutting-edge is simply the price of drift of electrical charge.
We outline voltage as the amount of capability electricity among points on a circuit. One point has greater charge than any other. This distinction in fee among the 2 points is referred to as voltage.
Learn more about voltage here:- https://brainly.com/question/1176850
#SPJ4
400 volt
Initial magnetic flux through the coil = LI
where L = inductance and I current through the coil
Final magnetic flux when the switch was opened =0
Flux change = LI -0=LI
Average voltage generated across the switch just after it was opened
= |LI/dt|
Given L = 0.50 H
I = 0.20 Amp
dt = 250*10^-6 Sec
Voltage generated = (0.50*0.20)/(250*10^-6)=400 volt
Magnetic Flux:
Specifically in electromagnetism, the magnetic flux through a surface is the integral of the normal component of the magnetic field B across that surface. Usually displayed as Φ or ΦB. The SI unit of magnetic flux is Weber and the CGS unit is Maxwell.
Learn more about magnetic flux:
https://brainly.com/question/10736183
#SPJ4
a 10.0 gram mass is tied to a string. the string is connected to a 500.0 g mass by a string that passes over a pulley. the 10.0 gram mass is suspended over the floor. there is no friction on the table. a. draw a fbd for each mass and of the system
In physics and engineering, a free frame diagram (FBD; also referred to as a force diagram) is a graphical instance used to visualize the applied forces, moments, and ensuing reactions on a frame in a given situation.
A free-body diagram is a sketch of an item of interest with all the surrounding items stripped away and all of the forces acting on the frame shown. The drawing of an unfastened-body diagram is a critical step in the solving of mechanics issues because it helps to visualize all the forces appearing on an unmarried object.
A free-body diagram is a graphic, dematerialized, symbolic representation of the body (structure, element, or segment of an element) wherein all connecting "pieces" have been removed. An FBD is a convenient method to model the structure, structural detail, or phase that is under scrutiny.
Learn more about free body diagrams here:-https://brainly.com/question/10148657
#SPJ4
levi boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for several rotations. the ferris wheel has a radius of 12 meters, and when levi boards the ferris wheel he is 16 meters above the ground. imagine an angle with its vertex at the center of the ferris wheel that subtends the path levi travels.
Levi height above the ground is = 16 + 12sin(d/12)
Levi height above the center of the Ferris wheel in radius lengths is = 12sin(d/12)
Since Levi height above the center of the Ferris wheel is 12sin(d/12) meters and it's center is 14 meters above the ground.
Therefore, Levi height above the ground is = 16 + 12sin(d/12)
When an object is flung or projected into the air, it moves only with the acceleration caused by gravity. Projectile motion has several uses in both engineering and physics. Examples include the motion of any ball in sports, the entry of meteorites into the Earth's atmosphere, and fireworks. These things are referred to as projectiles, and their course is referred to as a trajectory. The projectile motion of falling objects, as it is described in Motion Along a Straight Line, is a straightforward one-dimensional kind in which there is no horizontal movement. The effects of air resistance are ignored in this section's discussion of two-dimensional projectile motion.
Learn more about height here:
https://brainly.com/question/25928005
#SPJ4
Consider the following weighted, directed graph, representing the state space for a search problem. The weight between two nodes (u, v) indicates the cost of moving from node u to node v. The heuristic function value h(n) for each node n is also shown next to the node. The node S is the start state, and the node G is the goal state. h = 2 2 A 2 h = 3 h = 4 S 3 2. B 3 G) h = 0 h = 1 5 D 2 h = 2 Consider the following statement: 'The heuristic function his admissible' The statement is Select one: O True O False
True; The heuristic function his admissible.
When there are no specific solutions or the time required to find a solution is too great, a heuristic function (algorithm) or simply a heuristic is a shortcut to issue solving. We can infer that the objective is to locate a quicker or more approximate solution, even if it is not the best one. In other words, while applying a heuristic, we compromise accuracy for solution speed.
For instance, greedy algorithms typically result in speedy but inadequate answers. In the following tree, a greedy algorithm that seeks the highest sum would take the red path, but the green path is the best one
Learn more about speed here:
https://brainly.com/question/13488869
#SPJ4
