Answer:
Below
Explanation:
The forces are equal..but opposite........the bug just doesn't handle it as well
Ibrahim fires a gun in front of a building 167m away. If the speed of the sound is 334m/s calculate time in which he hears an echo
Exposure to high doses of microwaves can cause tissue damage. Estimate how many 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.
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.
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derive an equation for the tension string connected to the two blocks in terms of ; any physical constants
The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension.
How do we measure tension?
When a body is suspended from items like chains, cables, strings, etc., tension is simply the drawing force at work on the body. T is used to signify it (occasionally also symbolised as Ft).
Tension formula is articulated as
T=mg+ma
Where,
T= tension (N or kg-m/s2)
g = acceleration due to gravity (9.8 m/s2)
m =Mass of the body
a = Acceleration of the moving body
For mass m, the forces are given as
T−mg=ma ...... (1)
Similarly, for mass M, the forces are given as
Mg−T=Ma ...... (2)
From equation (1), we have
T=mg+ma
Substituting equation (3) in (2) we get
Mg−mg−ma=Ma
g(M−m)=a(M+m)
a=( M+m / M−m )g
T=m×( M+m / M−m )g+mg
T = g( Mm - m² + m² + Mm / M + m) = g( 2Mm / M+m )
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A block of mass m pulled with constant velocity over a floor by a force T inclined at an angle theta with the floor. The coefficient of friction between the block and the floor in mu. It is a box on floor drawn by a cord half way down fron edge at an angle of about 30 degrees from horizontal. No actual dimensions. The magnitude of the vertical component of the force exerted on the block by the floor is:a. mgb. mg-T cos thetac. mg+T cos thetad. mg-T sin thetae. T sin theta
The floor's force on the block, measured in terms of its vertical component, is expressed as follows: mg- t sin theta
What is the friction coefficient?The resistive friction force (Fr) multiplied by the normal or horizontal force (N) forcing the objects together yields the coefficient of friction (fr), which is a numerical value. It can be represented by the equation fr = Fr/N.
What is a force?A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the things. Newton(N) F=ma stands for the Si system of force.
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if you wanted to observe the center of our galaxy, you would need to point a telescope in the direction of the constellation. Aquarius Sagitarius
You would be required to focus a telescope towards the general direction of a constellation "Sagittarius." in order to see the galactic center.
Explain the function of telescope?Astronomers use a telescope to observe distant things.
Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light from of the night sky. The original telescopes employed lenses, which are simply curved pieces of clear glass, to focus light.The two most crucial tasks of a telescope are-
(1) gathering the weak light coming from such an astronomical source and (2) concentrating all of the light into a single point or image.The majority of astronomical objects of interest are quite dim; more the light we can gather, the better we can examine such objects.
As the galactic center is located in the direction of the Sagittarius constellation. That is why the name of the main item (Sagittarius A*) contains the word "Sagittarius".
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The complete question -
if you wanted to observe the center of our galaxy, you would need to point a telescope in the direction of the constellation.
The correct option is-
Aquarius Sagitariusan experiment is conducted in which red light is diffracted through a single slit. part a listed below are alterations made, one at a time, to the original experiment, and the experiment is repeated. after each alteration, the experiment is returned to its original configuration. which of these alterations decreases the angles at which the diffraction minima appear? select all that apply. view available hint(s)for part a listed below are alterations made, one at a time, to the original experiment, and the experiment is repeated. after each alteration, the experiment is returned to its original configuration. which of these alterations decreases the angles at which the diffraction minima appear? select all that apply. the experiment is conducted in a water-filled tank. the distance between the slits and the screen is halved. a green, rather than red, light source is used. the slit width is doubled. the slit width is halved. the distance between the slits and the screen is doubled.
The answer is: The slit width is halved.
Minima are the points of low intensity in a diffraction pattern. They appear due to destructive interference between light waves scattered by different points of a lattice or crystal. Minima occur when the path difference between two waves is equal to an integer multiple of the wavelength of the light.
When the slit width is halved, the angles at which the diffraction minima appear are decreased because the diffraction pattern becomes more focused due to the reduced aperture size. This causes the minima to be closer together and have smaller angles. The other alterations do not affect the angles at which the minima appear.
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Rank the following from greatest to least for the percentage of its volume above the water line: a. Basketball floating in fresh water b. Basketball floating in saltwater c. Basketball floating in mercury
Basketballs floating in saline water, mercury, and air are all examples of the same phenomenon (basketball floating in fresh water.)
What is the liquid's volume?The volume of liquid that a vessel holds is measured in standard units as the liquid measurement. It is sometimes referred to as the vessel's "volume" or "capacity." Juice bottle with a 1 liter capacity and a baby milk bottle with milliliter measuring indications.
Briefing:Fresh water density, salt water density, and mercury density
Volume submerged times liquid density times gravitational acceleration equals buoyant force.
It will submerge less because hydrostatic pressure will be greater than in mercury.
The height of the basketball above the water is lower in fresh water than salt water or mercury.
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The switch in the circuit in (Figure 1) has been in the left position for a long time. At t- 0, it moves to the right position and stays there. Figure 1 of 1 sov 150 V+ 40 nF 30k60 k2 a) Find the initial voltage drop across the capacitor. b) Find the initial energy stored by the capacitor. c) Find the time constant of this circuit for t>0. d) Write the expression for the capacitor voltage v(t) for t 20. Express your answer in terms of t, where t is in seconds.
The initial voltage drop across the capacitor is 150v,b) The initial energy stored by the capacitor is 450 × [tex]10^{-6}[/tex]
Figure 1 of 1 150 V drop given ,So across the capacitor is 150v
initial energy stored by the capacitor = 1/2 CVc(v)
energy = 1/2 × 40 × [tex]10^{-9}[/tex] × 150×150
= 450 × [tex]10^{-6}[/tex]
the expression for the capacitor voltage v(t) for t 20 is
Vc(t) = Vc(α) + [Vc(0) - Vc(α)][tex]e^{t/T}[/tex]
By building up electric charges on two nearby surfaces that are isolated from one another, a capacitor is a device that stores electrical energy in an electric field. It is a two-terminal passive electrical component.
Capacitance is the name given to a capacitor's effect. While there is some capacitance between any two electrical conductors that are close to one another in a circuit, a capacitor is a component made to increase capacitance in a circuit. Condenser is a term that still appears in a few compound names for the capacitor, such as condenser microphone.
Practical capacitors come in many different shapes and sizes, and they are made of a large variety of materials. Most capacitors include two or more electrical conductors, frequently in the form of metallic plates.
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In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially un-stretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction on the horizontal surface.
Which of the following is true of the energy of the system during this process?
Potential energy lost by block 2 is greater than the potential energy gained by the spring - is true of the energy of the system during this process
What is potential energy?Potential energy is stored energy that is affected by the relative location of various components in a system. Stretching or compressing a spring increases its potential energy. A steel ball has higher potential energy when lifted above ground than when it falls to Earth.
Because every item moved from its resting posture has stored energy, it is referred to as potential energy because it has the ability to accomplish work when released.
Thus, potential energy lost by the block 2 = potential energy gained by the spring + energy lost to overcome the friction.
Thus, Potential energy lost by block 2 is greater than the potential energy gained by the spring .
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The complete question is as follows:
Block 1 and Block 2 In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially unstretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction of the horizontal surface. 24. Which of the following is true of the energy of the system during this process? (A) The total mechanical energy of the system is conserved. (B) The total mechanical energy of the system increases. (C) The energy lost to friction is equal to the gain in the potential energy of the spring, (D) The potential energy lost by block 2 is less in magnitude than the potential energy gained by the spring. (E) The potential energy lost by block 2 is greater in magnitude than the potential energy gained by the spring.
Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.42 m from the grating. In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 2.86 mm. What is the difference between these wavelengths?
The difference between these wavelengths is 15.85 nm.
What is wavelengths?
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
The number of lines on the grating N= 900 cm
Distance between screen grating L= 2.24 m
Order number = 1
Distance y = 3.20 mm
We need to calculate the width of the slit
Using formula of width
[tex]d=\frac{1}{N}$$[/tex]
Put the value into the formula
[tex]$$\begin{aligned}d & =\frac{1}{900} \\d & =0.00111=1.11 \times 10^{-5} \mathrm{~m}\end{aligned}$$[/tex]
We need to calculate the angular distance
[tex]$$\theta=\frac{\lambda}{d}$$[/tex]
The angular separation for different wavelength is
[tex]$$\Delta \theta=\frac{\lambda_1-\lambda_2}{d}$$[/tex]
We know that,
Linear separation is
[tex]$$\Delta y=\Delta \theta L$$[/tex]
We nee to calculate the difference between these wavelengths Put the value into the formula of angular separation
[tex]\begin{aligned}& \Delta y=L\left(\frac{\lambda_1-\lambda_2}{d}\right) \\& \lambda_1-\lambda_2=\frac{\Delta y \times d}{L} \\& \lambda_1-\lambda_2=\frac{3.20 \times 10^{-3} \times 1.11 \times 10^{-5}}{2.24} \\& \lambda_1-\lambda_2=1.585 \times 10^{-8} \\& \lambda_1-\lambda_2=15.85 \mathrm{~nm}\end{aligned}[/tex]
Hence, The difference between these wavelengths is 15.85 nm.
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a soccer ball is kicked 19 meters into a soccer goal. the ball has a mass of 12kg is kicked with an acceleration or 3.9m/s2. what is the work done on the ball?
Answer:
889.2 J
Explanation:
F = ma = (12 kg)(3.9 m/s²) = 46.8 N
W = Fd = (46.8 N)(19 m) = 889.2 J
A cyndrical flask of cross sectional area A is fitted with an airtight piston that is free to slide up and down .contained within the flask is an ideal gas. Initially the pressure applied by the piston is 140kpa and the base of the flask is 22cm. When additional mass is added to the piston the pressure increases to 380kpa. Assuming the system is always at the temperature of 290k find the new height of the piston
Assuming the system is always at the temperature of 290k, the new height of the piston be 16.21 cm.
What is pressure?The physical force applied to an object is referred to as pressure. Per unit area, a perpendicular force is delivered to the surface of the objects. F/A is the fundamental formula for pressure (Force per unit area). Pascals are a unit of pressure (Pa).
Absolute, atmospheric, differential, and gauge pressures are different types of pressure.
As height of the piston is proportional to volume of ideal gas. From Boyle's law of gases at constant temperature we can write:
PV = pv
⇒PH = ph
⇒ 140 kpa × 22 cm = 290 kpa × h
⇒ h = 22 × 140/190 cm = 16.21 cm.
Hence, the new height of the piston be 16.21 cm.
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Can someone help solve this, and explain if you're able to.
The net electric force on particle q₂ is determined as 27.94 N.
What is the net force of particle q₂?
The net force of particle q₂ is determined by applying Coulomb's law of electrostatic force.
The electric force between particle q₁ and q₂ is the attractive force and the magnitude is calculated as;
F₁₂ = kq₁q₂ / r²
where;
K is the Coulomb's constantq₁ is the magnitude of charge 1q₂ is the magnitude of charge 2r is the distance between charge 1 and charge 2F₁₂ = (9 x 10⁹ x 18.1 x 10⁻⁶ x 11.2 x 10⁻⁶) / (0.28²)
F₁₂ = 23.27 N
The electric force between particle q₃ and q₂ is the attractive force and the magnitude is calculated as;
F₂₃ = kq₃q₂ / r²
F₂₃ = (9 x 10⁹ x 5.67 x 10⁻⁶ x 11.2 x 10⁻⁶) / (0.35²)
F₂₃ = 4.67 N
The net force on the particle q₂ is calculated as;
F (net) = F₁₂ + F₂₃
F (net) = 23.27 + 4.67
F (net) = 27.94 N
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An object falls freely from rest under the influence of gravity. If air resistance is negligible, the ratio ofthe distances traveled during each 1-second time interval by the object during the first, second, and third seconds of its fall is Gwen _ A 1:1.1 J = lom/s t= 1,,3 B. 1.233 Vo: 0 Bx = 3,18113& C. 1.2.4 Ax = Vol #at8 D 1.3.5 T, = #at? X} = gat' x9aft 3 (1o) (0)" E 1.4.9 4 (1)(2)* Sn (i0 R0m 4Sm
The ratio of the distances travelled during each 1-second time interval by the object during the first, second, and third seconds of its fall is 1:3:5 .
Distance is a numerical size of how a long way apart objects or points are. It's miles the real length of the course travelled from one factor to every other. In physics, we often use distance as a reference to a bodily duration or an estimation based totally on other criteria like “ few kilometres apart”, “some miles away. but, the gap blanketed by an object to move from initial to final position could be the same as the space protected through the item to head from final to initial position. for that reason, distance does not rely on the direction in which a frame is moving.
Distance travelled through an item offers the size of the total path blanketed through it at some point of its movement. the gap protected via an object increases if the charge at which the object is shifting increases. The space blanketed by means of the item also increases if the object travels for a longer length. therefore, the distance travelled through an item depends on its speed and the duration(time) for which it is in motion. Consequently, the components of distance is:
Total distance covered= speed× time
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(a) On the dot below, which represents the block, draw and label the forces (not components) that act on the block as it is at rest on the incline. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot. The dashed line represents the direction of the incline.
(b) Derive an expression for the maximum value of θ for which the block will not slide down the incline.
Assume the value of θ is greater than the value from part (b).
(c) Derive an expression for the acceleration of the block.
(d) The incline is set with the angle θ. The angle is slowly increased until the block begins to slide down the incline. After the block begins to slide, the angle is kept constant.
Numerous forces are applied to the block in a circular route; the forces at the path's lowest point are as follows. Vertically and downwards, the weight that the Earth exerts on the body.
Describe some instances of components.Component examples include a single button on a graphical user interface, a tiny interest calculator, and an interface to a database management. On various servers throughout a network, components may be set up and can connect with one another to provide the required services.
What do simple components refer to?With the use of simple component analysis, you may condense a huge number of closely linked variables into a manageable amount of useful components. However, it offers a more understandable resolution. It is comparable to principal component analysis.
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What will happen when you throw paper airplane in the air?; What forces are acting on a paper airplane when you throw it?; What type of friction does a paper airplane experience as it flies through the air?; Is throwing a paper airplane a projectile motion?
When we throw paper airplane in the air, it will stop after sometimes due to friction and fall on ground due to gravity.
Physical friction is all around us. Static friction is the resistance to an object moving along a path. Finally, explain it with a simple example. Consider the common activity we all engage in: walking. While working, we are constantly in contact with the floor. The fact that friction operates in the opposite direction from relative motion is one important concept to be aware of in order to minimize friction. This phenomenon might be helpful for slowing down the action until it eventually stops.
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A venturi meter is measuring the flow of water in a pipe having cross-sectional area
of 0.0038 m², a throat with cross-sectional area of 0.00031 m² is connected to it.
If the pressure difference is measured to be 2.4 kPa, what is the speed of the water
in the pipe?
The speed of the water is 0.069 m/s
How do you determine the speed of the water?To determine the speed of the water in the pipe, you can use the Bernoulli equation, which relates the pressure, velocity, and height of a fluid in a system. In this case, the Bernoulli equation can be written as:
P + 1/2*rho*v^2 + rho*g*h = constant
where P is the pressure, rho is the density of the water, v is the velocity of the water in the pipe, g is the acceleration due to gravity, and h is the height of the fluid above a reference point.
Since the pressure difference between the two points in the pipe is known, you can rearrange the Bernoulli equation to solve for the velocity of the water in the pipe:
v = √((2*(P1 - P2))/rho)
where P1 is the pressure at the throat and P2 is the pressure at the cross-sectional area of the pipe.
Plugging in the values given in the question, we have:
v = √((2*(2.4 kPa - 0))/1000 kg/m^3)
= √(4.8 kPa/1000 kg/m^3)
= √(0.0048 Pa/kg/m^3)
= 0.069 m/s
Therefore, the speed of the water in the pipe is approximately 0.069 m/s.
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a small block with mass 0.390 kg is attached to a string passing through a hole in a frictionless, horizontal surface (figure 1). the block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. the string is then pulled slowly from below, shortening the radius of the circle in which the block revolves. the breaking strength of the string is 30.0 n.
The radius of the circle when stringe break is 6.93×10^-2.
What is radius?The radius is the distance from the centre of a circle.
When finding the radius of the string at the point it breaks, the tangential
velocity is assumed to be constant.
The radius when the string breaks is 6.9.3×10^-3m
Reasons:
The mass of the small block, m = 0.130 kg
Initial radius of the circle of rotation = 0.800 m
Tangential velocity, v = 4.00 m/s
The radius of the path of rotation is reduced as the string is pulled
Breaking strength of the string = 30.0 N
Required:
The radius of the circle when the string brakes
Solution:
centripetal force =m.v^2/r
Where;
r = The radius of the circle of rotation
When the string brakes, w have;
Centripetal force = Breaking strength of the string = 30.0 N
Which gives;
r=m.v^2/centrigual force =6.93×10^-2
The radius of the circle when, the string breaks r = =6.93×10^-2.
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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
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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
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a distortion of the shape of four-dimensional spacetime. a distortion of the shape of three-dimensional space. a force that acts through the action of photons at the speed of light. a force that acts through the action of gravitons that travel instantaneously.
Just as waves spread out when a boat moves in water or a stone is thrown in a pond, gravitational waves are distortions in the curvature of space-time caused by motions of matter that propagate with the speed of light.
It turns out that one type of gluon chain behaves in the four-dimensional spacetime as the graviton, the fundamental quantum particle of gravity. In this description, gravity in four dimensions is an emergent phenomenon arising from particle interactions in a gravityless, three-dimensional world.
Since matter carries energy, such objects will have a gravitational field and so they will distort space-time. So one way in which a charge or a magnet will distort space-time is by virtue of its matter.
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In an independent-measures experiment with three treatment conditions, all three treatments have the same mean, M1 = M2 = M3. For these data, what is the value for SSbetween treatments?
a. 3(5.50)
b. 0
c. 1.00
d. Cannot be determined from the information given
A is the answer 3(5.50) .Three of the treatment means in a two-factor experiment with two levels of factor A and two levels of factor B are almost identical, while one is significantly different from the others. What outcome (s) would this course of treatment achieve?
When analysing variance, the differences that exist when there are no treatment effects are measured using the variance within treatments. By summing the SS values across all treatments and dividing by the total of the df values across all treatments, this value is obtained. By summing the SS values across all treatments and dividing by the total of the df values across all treatments, this value is obtained. A study evaluating three therapies with a n = 10 sample size
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a rock climber stands on top of a 50 m -high cliff overhanging a pool of water. he throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. the initial speed of the first stone was 1.6 m/s.
A) How long after the release of the first stone does the second stone hit the water? (in seconds) B) What was the initial speed of the second stone? (in m/s) C) What is the speed of the first stone as it hits the water? (in m/s) D) What is the speed of the second stone as it hits the water? (in m/s)
(a) The second stone hit after 2.91 seconds
(b) The initial velocity of the second stone must be 15.8 m/s vertically downward.
(c) The velocity of each stone when they reach the water is: First stone : -30.7 m/s Second stone: -34.5 m/s
The height and velocity of the stones can be calculated using the following equations:
y = y0 + v0 · t + 1/2 · g · t²
v = v0 + g · t
Where:
y = height at time "t".
y0 = initial height.
v0 = initial velocity.
t = time.
g = acceleration due to gravity (-9.81 m/s² considering the upward direction as positive).
v = velocity at time "t".
a) If we place the origin of the frame of reference on the water, then, the height of both stones when they hit the water will be 0. Using the equation of height for the first stone, we can obtain the time when the height is 0:
y = y0 + v0 · t + 1/2 · g · t²
0 = 50.0 m -1.91m/s · t - 1/2 · 9.81 m/s² · t²
0 = 50.0 m - 1.91 m/s · t - 1.6 m/s² · t²
Solving the quadratic equation:
t = 2.91 s
The two stones hit the water 2.91 s after the release of the first stone.
b) The second stone reaches the water in (2.91 s - 1.00 s) 1.91 s after released (remember that it was released 1.00 s after the first stone but both reached the water simultaneously). Then, using the equation of height, we can obtain the initial velocity knowing that at t = 1.91 s, y = 0:
y = y0 + v0 · t + 1/2 · g · t²
0 = 48.0 m + v0 · 1.91 s - 1/2 · 9.81 m/s² · (1.91 s)²
(-48.0 m + 1/2 · 9.81 m/s² · (1.91 s)²) / 1.91 s = v0
v0 = -15.8 m/s
The initial velocity of the second stone must be 15.8 m/s vertically downward.
c) We have to use the equation of velocity for each stone. We already know the time when the stones reach the water and the initial velocities:
First stone:
v = v0 + g · t
v = -2.18 m/s - 9.81 m/s² · 2.91 s
v = -30.7 m/s
Second stone:
v = v0 + g · t
v = -15.8 m/s - 9.81 m/s² · 1.91 s
v = -34.5 m/s
The velocity of each stone when they reach the water is:
First stone : -30.7 m/s
Second stone: -34.5 m/s
Therefore, the velocity of the first and second stones are -30.7 m/s and -34.5 m/s.
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heat is transferred at a rate of 2 kw from a hot reservoir at 775 k to a cold reservoir at 300 k. calculate the rate at which the entropy of the two reservoirs changes. (round the final answer to six decimal places.) the rate at which the entropy of the two reservoirs changes is kw/k. is the second law satisfied? (click to select)
the rate at which the entropy of the two reservoirs changes is 0.004081 KW/K
Yes, the second law is satisfied.
claculation :
ΔS = Q/T (entropy formula)
ΔS1 = 2/300 = 0.006667 KW/K
ΔS2 = 2/715 = 0.002580
Δs = 0.006667 - 0.002580
Δs = 0.004081 KW/K
Yes, the second law is satisfied.
Entropy is a scientific concept and a measurable physical property most commonly associated with states of disorder, randomness, or uncertainty. The term and concept are used in a variety of fields, from classical thermodynamics, where it was first recognized, to microscopic descriptions of nature in statistical physics, to principles of information theory. It finds a wide range of applications in information systems, including information transmission in chemistry and physics, the relationship between biological systems and life, cosmology, economics, sociology, weather science, climate change, and communications.
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The ____ successfully discovered thousands of extrasolar planets with a spacecraft that searched for transits among some 100,000 stars.
The Kepler Mission successfully discovered thousands of extrasolar planets with a spacecraft that searched for transits among some 100,000 stars.
Kepler mission was initiated by NASA's researcher William Borucki with the main goal of launching a space shuttle containing Kepler space telescope in order to survey and monitor planets and stars in our milky way galaxy as well as those beyond of our solar system. The space craft containing the Kepler space telescope was launched by NASA in March 7th 2009. The Kepler mission successfully identified that there are more than 2600 exoplanets or extrasolar planets that orbits the star outside of our solar system, and some of which were identified to be suitable planets for a form of life to exist.
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An air-filled cavity for producing electromagnetic standing waves has two parallel, highly conducting walls separated by a distance L. One standing-wave pattern in the cavity produces nodal planes of the electric field with a spacing of 1.50 cm. The next-higher-frequency standing wave in the cavity produces nodal planes with a spacing of 1.25 cm. What is the distance L between the walls of the cavity?
The distance between the wall of the cavity is 7.5 cm
Distance is the length of a space between two points at rest or in motion.
It has the SI unit as meter denoted by letter 'm'.Since the waves are travelling within two parallel, highly conducting walls, i.e. both the ends are rigid and closed, the general formula for the distance (L) between both closed ends is (n+1) λ/2
for n = 0, λ/2 = 1.5 cm
λ = 3.0 cm
for λ(n+1/2) = 1.25
λ(n+1) = 2.5
(n + 1) * 1.5 = (n + 2) * 1.25
n = 4
L = (n+1) λ/2
L = (4+1) 3/2
L = (5) * 3 / 2
L = 7.5 cm
The distance L between the walls of the cavity is 7.5 cm.
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An 8.0-newton block is accelerating down a frictionless ramp inclined at 15° to the horizontal. What is the magnitude of the net force causing the block’s acceleration?
The magnitude of the net force causing the block’s acceleration is 8N.
We know that,
[tex]F_{x} = mg* cos\alpha[/tex] (force along x - axis) and
[tex]F_{y} = mg* sin\alpha[/tex] (force along y - axis)
The magnitude of net force is given by :
[tex]F_{net} = \sqrt{F_{x} ^{2} + F_{y} ^{2} }[/tex]
[tex]F_{net} = \sqrt{(mg*cos\alpha )^{2} + (mg*sin\alpha )^{2} } \\F_{net} = \sqrt{(mg)^{2}[ (cos\alpha) ^{2}+(sin\alpha) ^{2} ] } \\F_{net} = mg[/tex]
Given, weight = 8N and angle [tex]\alpha =[/tex] 15°
We know that F (force) = ma = mg = weight
Putting these values in above equation we get ,
[tex]F_{net} = 8N[/tex]
So the magnitude of the net force causing the block’s acceleration is 8N.
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Suppose that current flows in a horizontal conducting loop such that the magnetic flux produced by the current points upward.
As viewed from above, in which direction does this current flow? a. A
b. B
The current will be flowing in an anti-clockwise direction.
We consider a current carrying loop according to the question lying horizontally, say X-Y plane , the magnetic flux has a direction pointing upwards.According to Lenz law, the direction of induced emf is such that it always opposes the cause of effect.In order to find the direction of the current flowing in the loop we can use the screw / right hand thumb rule by curling our fingers in the direction of the magnetic flux and the thumb of the right hand will point towards the the direction of the current flowing in the coil.According to the situation, the direction of the current comes out to be anti - clockwise when viewed from the above of the coil . From below of the coil the direction of the current will be reversed and it will turn clockwise.To know more about magnetism visit:
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When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears
a) deeper than it really is
b) at its actual depth
c) shallower than its real depth
d) It depends on your height above the water
When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears to be shallower than its real depth.
The correct option is C.
What is the refraction of light?The refraction of light refers to the bending of light rays as they cross the boundary between media of different densities.
The bending of light rays may be towards the normal or away from the normal depending on the ratio of the densities of the media.
When light rays move from media of higher density to media of lower density, the light rays bend away from the normal.
When light rays move from media of lower density to media of higher density, the light rays bend toward the normal.
The ratio of the angle of the incident ray and the angle of the refracted ray is known as the refractive index of the medium.
The refractive index of various materials varies.
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A rectangular plate is rotating with a constant angular speed about an axis that passes perpendicularly through one corner, as the drawing shows. The centripetal acceleration measured at corner A is n times as great as that measured at corner B. What is the ratio
L1
L2
of the lengths of the sides of the rectangle when n = 2.24?
The ratio of L1 and L2 ,lengths of the sides of the rectangle when n = 2.24 is 2.0043
We use the centripetal acceleration definition,
[tex]a = \frac{v^2}{r}[/tex]
The relationship between angular and linear velocity
[tex]v=w^2r[/tex]
we substitute [tex]a = w^2 r[/tex]
The rectangular body rotates at an angle of w.
We locate the points, but the diagram is missing. In this case, the axis of rotation is in a corner called O, one of the adjacent corners is called A, and the opposite corner is called B.
the distance[tex]OB = L_2[/tex]
the distance [tex]AB = L_1[/tex]
It is indicated that the accelerations in A and B are related, so we substitute the acceleration value.
[tex]w^2 r_A = n r_B[/tex]
the distance from the each corner is
[tex]r_B = L_2\\\\ r_A =\sqrt{L_1^2+L_2^2}[/tex]
we substitute
[tex]\sqrt{L_1^2 + L_2^2} = n L_2[/tex]
[tex]L_1^2 + L_2^2 = n^2 L_2^2[/tex]
[tex]L_1^2= (n^2-1) L_2^2\\\\\frac{L_1^2}{L_2^2}=(n^2-1)\\\\\frac{L_1}{L_2}=\sqrt{(n^2-1)}[/tex]
When n=2.24
[tex]\frac{L_1}{L_2}=\sqrt{(2.24^2-1)}\\\\\frac{L_1}{L_2}=2.0043[/tex]
Thus, the ratios of length is 2.0043.
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