Answer:
90° or π/2 rad
Explanation:
Given two vectors:
[tex] \displaystyle{ \vec d = - 4 \hat i + \hat j} \ \: \text{and} \ \: \displaystyle{ \vec e = \hat i + 4 \hat j}[/tex]
We can find the angle by applying dot product:
[tex] \displaystyle{ \vec d \cdot \vec e = | \vec d| | \vec e| \cos \theta}[/tex]
Find magnitude of two vectors:
[tex] \displaystyle{ | \vec d| = \sqrt{ {( - 4)}^{2} + {1}^{2} }} \\ \\ \displaystyle{ | \vec d | = \sqrt{16 + 1} = \sqrt{17} }[/tex]
And
[tex] \displaystyle{ | \vec e| = \sqrt{ 1^{2} + {4}^{2} }} \\ \\ \displaystyle{ | \vec e | = \sqrt{1 + 16} = \sqrt{17} }[/tex]
Thus, we now have:
[tex] \displaystyle{ \vec d \cdot \vec e = \sqrt{17} \cdot \sqrt{17} \cos \theta} \\ \\ \displaystyle{ \vec d \cdot \vec e = 17 \cos \theta}[/tex]
Product of two vectors are:
[tex] \displaystyle{ \vec d \cdot \vec e = d_xe_x + d_ye_y}[/tex]
Therefore:
[tex] \displaystyle{( - 4)(1) + (1)(4) = 17 \cos \theta} \\ \\ \displaystyle{ - 4 +4= 17 \cos \theta} \\ \\ \displaystyle{0= 17 \cos \theta} \\ \\ \displaystyle{0 =\cos \theta}[/tex]
Therefore, the angle would be 90° or π/2 since we know that cos90° = 0.
students attach a force probe in the middle of string a to measure ta and then use a different force probe to provide the applied force f to the box of mass m1. with the box of mass m3 held in place by one student, a second student pulls to the left on the force probe that provides the applied force f. as the second student pulls with a steady force, and with the boxes remaining at rest, the following pairs of readings from the two force probes are recorded at different times. Time F(N) TA (N) ti 10.6 11 10 10.4 10.2 10.8 10 11 t5 10.6 11 Based on the measurements above, how do the magnitudes of the two force quantities compare? The two quantities exactly agree numerically. The two quantities agree within experimental uncertainty but do not exactly agree numerically. The two quantities disagree by an amount that is larger than the experimental uncertainty. The two quantities cannot be compared because the two force probes have different levels of precision.
The magnitudes of the two force quantities after comparing the two quantities agree within experimental uncertainty but do not agree numerically.
What is applied force?One of the most prevalent forms of force is applied force, which is the force we exert on objects with our hands, legs, or any other item. As an illustration, push a chair with some force to move it in a certain direction.
According to Newton's second equation of motion, an object's force is equal to its mass times its acceleration, or F = m × a.
Use Newtons for force, kilograms for mass, and meters per second squared for acceleration when applying this formula.
Given that, time F(N) TA(N)
t₁ 10.6 11
t₂ 10.4 10
t₃ 10.2 10
t₄ 10.8 11
t₅ 10.6 11
Thus, The mean value of F is: 10.52 N
The mean value of TA is: 10.6 N
So, the two quantities agree within experimental uncertainty but do not agree numerically.
Thus, the two quantities cannot be compared because the two force probes have different levels of precision.
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Which of the following telescopes is best suited for studying the hottest intergalactic gas(10 million K) in a cluster of galaxies?
Chandra X-ray Telescope
Chandra X-ray telescope is the one that is best suited for studying the hottest intergalactic gas in a cluster of galaxies.
Intergalactic gas is found in space that exists in-between the cluster of galaxies. This space is known as intergalactic space. An intergalactic gas is a very hot gas that emits X-rays. Temperature is very high where intergalactic gases exists in the universe. The intergalactic gases found in the universe are hydrogen and helium gases.
Chandra X-ray telescope is a successful mission of NASA that is programmed to detect the gases that emit X-rays. Therefore, intergalactic gases can easily be detected by this telescope. It is a powerful design that can also detect hot regions between the galaxies. This telescope was launched in the space by NASA, in the year 1999.
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find the tension in each cord in the following figure, if the weight of the suspended object is 100 n. (make a free body diagram).
T a = 573.77 N and T b = 702.7 N are the tensions in the system's cords A and B, respectively.
What is meant by tension?A rope, string, or cable that is stretched under an applied force develops a force known as a tension force in physics. In the opposite direction of the force imparted to the rope or cable, tension is exerted along its whole length. Other names for tension include stress, tensity, and tautness.
The force transferred through a rope, string, or wire when pushed by forces acting from opposite sides is referred to as tension. The tension force is applied along the entire length of the wire and exerts an equal amount of strain on the bodies at each end.
Something can stretch under tension. Something gets squeezed together through compression. Only materials having the ability to resist forces are useful. Similar to how water moves through a pipe, force moves through a material.
We have to solve the system of equations:
- T a × cos 60° + T b × sin 45° - 210 N = 0
- T a × sin 60° + Tb cos 45° = 0
------------------------------------------------------
- 1/2 T a + √2 / 2 T b = 210 N
- √3 / 2 T a + √ 2 / 2 T b = 0 / * ( - 1 )
---------------------------------------------------
- 1/2 T a + √2 / 2 T b = 210 N
√ 3 / 2 T a - √2 / 2 T b = 0
----------------------------------------
T a ( √3 / 2 - 1 / 2 ) = 210 N
0.366 T a = 210 N
T a = 210 N : 0.366
1 ) T a = 573.77 N
Ta × √3 / 2 = T b × √ 2 / 2
T b = ( 573.77 × 1.732 ) : 1.4142
2 ) T b = 702.7 N
The complete question is:
Find the tension in each cord in the figure if the weight of the suspended object is w = 210N
A) Find the tension in the cord A for system (b).
B) Find the tension in the cord B for system (b).
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consider medical x rays that are taken with electromagnetic waves having a wavelength around 0.14 nm in air. What is the frequency of such waves? Express your answer with the appropriate units
Frequency of such waves is 2.14 x 10¹⁸ Hz.
Given
wavelength λ = 0.14 *10^⁻⁹ m
ν =c/λ = (3×10⁸)/(0.14 x 10⁻⁹) =2.14 x 10¹⁸ Hz
The relation between frequency, velocity and wavelength of a wave is given by,
ν=v/λ
Where ν is the frequency,
v is the speed of the wave and
λ is the wavelength of the wave.
The angular frequency of the wave is given by,
ω=2π
ν=2πT
Electricity can be static, like the energy that can make your hair stand on end. Magnetism can also be static, as it is in a refrigerator magnet. A changing magnetic field will induce a changing electric field and vice-versa—the two are linked. These changing fields form electromagnetic waves. Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.
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The filament of a 75-W light bulb is at a temperature of 3300 K. Assuming the filament has an emissivity e = 0.9, find its surface area. (Use s = 5.6696 10-8 W/m2 · K4 for the Stefan-Boltzmann constant.)
Surface area is 1.10 × 10^-5 .
Stefan-Boltzmann law, statement that the total radiant heat power emitted from a surface is proportional to the fourth power of its absolute temperature.All bodies radiate energy W depending on temperature T, according to the Stefan-Boltzmann law W = ε σT4 where emissivity ε is equal to 1 for black bodies and less than 1 for grey bodies, σ being the Stefan constant.
From Stefan's law, the power radiated by an object at absolute
temperature T and surface area A is POAT, where a=5.6696 × 10
W/m²K and e is the emissivity. Thus, the surface area of the filament
must be
A =75 W / (5.6696x10 )(1.0 )(3300) = 1.10 * 10^-5
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xl and xc can be combined to favor one particular frequency, the resonant frequency to which the lc circuit is tuned quizledt
It will give resonant frequency when [tex]X_{c}= X_{l}[/tex].
The frequency on which Inductive Reactance ([tex]X_{l}[/tex]) and Capacitive Reactance([tex]X_{c}[/tex]) becomes equals that is called Resonant Frequency. Resonance Effect is also called tuning effect.An LC circuit, also known as a tank circuit, a tuned circuit, or a resonant circuit, is an electric circuit that consists of a capacitor marked by the letter “C” and an inductor signified by the letter “L.”These circuits are used to generate signals at a specific frequency or to accept a signal from a more complex signal at a specific frequency.LC circuits are basic electronics components found in a wide range of electronic devices, particularly radio equipment, where they are employed in circuits such as tuners, filters, frequency mixers, and oscillators. The basic purpose of an LC circuit is to oscillate with the least amount of damping possible.To know more about circuits visit:
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calculate the total impedance of the circuits in fig. 123. express your answer in rectangular and polar forms
a)6.8 + j8.2 ohms=10.65(50.33 deg) ohms
b)12-j6 ohms=13.41(-26.57 deg) ohms
c)6.6+j10 kohms=11.98(56.575 deg) ohms
RECTANGULAR FORMS
a) 6.8+j8.2 ohm
b)12-j6 ohm
c) 6.6+j10 kohm
POLAR FORMS
a) 10.65 angle 50.332 deg
b) 13.416 angle -26.565 deg
c) 11.982 angle 56.575 deg
Impedance, sometimes referred to as a "AC circuit," is the resistance to electricity passing through a circuit that uses an alternating current. Impedance, which is measured in Ohms, is the result of the combined action of the circuit's current-limiting elements, such as Resistance (R), Inductance (L), and Capacitance (C) (C).
The resistance to current flow in a Direct Current (DC) circuit is known as impedance, but in an AC circuit, impedance is the consequence of both the resistive (R) and reactive (X) components of the circuit. A DC circuit's electrical resistance is indicated by the letter "R," but an alternating AC circuit's resistance to current flow is indicated by the letter or symbol "Z."
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The energy released from condensation in thunderstorms can be very large. Calculate the energy released into the atmosphere for a small storm of radius 1.8 km, assuming that 2.7 cm of rain is precipitated uniformly over this area. The heat Q required to change the phase of a sample of mass m is,
Q = mLv
Where, Lv is the latent heat of vaporization.
The heat that must be applied to a unit quantity of material in order to shift it from the liquid to the vapor phase without a change in temperature is known as the latent heat of vaporization or evaporation (Lv).
Describe the latent heat of vaporization using an example?
The energy needed to convert stuff from a liquid to a vapor without affecting temperature is known as the latent heat of vaporization. The change of liquid water particles into vapors occurs, for instance, when a water kettle is brought to a boil.
In plain English, what is latent heat of vaporization?
Latent heat of vaporization is the quantity of heat required to transform a unit mass of a liquid substance into a gaseous phase under conditions of constant temperature.
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You put on sunglasses and looks at the outside view. The sky is a little dark, but the reflection from a pond is much darker. Why?
A. Pond reflection is polarized
B. The light outside has changed.
C. Sunglasses are not polarized.
D. Skylight is polarized.
When you put on sunglasses and looks at the outside view, the sky is a little dark, but the reflection from a pond is much darker because Pond reflection is polarized. Option (A) is correct.
What is polarization?In the field of physics, polarization is referred to as a phenomena brought on by the fact that electromagnetic radiation is a wave.
Moving across space, electric and magnetic fields interact to form light. Light waves vibrate electrically and magnetically in perpendicular to one another. The magnetic field and electric field both move perpendicular to one another in different directions.
As a result, the direction of motion is perpendicular to both the plane occupied by the electric field and the plane of the magnetic field that is perpendicular to it.
These magnetic and electric vibrations can take place on a variety of planes. Unpolarized light is a type of light wave that vibrates in more than one plane. The sun, a lamp, and a tube light are all examples of unpolarized light sources.
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substance a has a high melting point, is soluble in water, is a conductor of electricity when dissolved in water but not as a solid, and has a hard surface. stsate the type of bonding you would expect to find in this substance
The type of bonding in the substance is an ionic bond, as the substance is a non-conductor of electricity in the solid state but is a conductor when melted or in a liquid state.
When the complete transfer of some electrons takes place from one atom to another atom, the kind of bond is ionic bond. The atom which loses one or more electrons becomes a cation. It is a positively charged ion. The atom which gains one or more electrons becomes an anion. It is a negatively charged ion.
Ionic bonding is very strong. When the substance is in a solid state, bond force does not leave free electrons to conduct electricity. When dissolved in water, the bond breaks, and some electrons are freed to conduct electricity.
Water is a polar covalent compound that can help in breaking of ionic bonds.
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12. Calculate the potential difference that would be shown by the voltmeters shown in the circuits below. PLEASE ANSWER FAST
Answer: It is D
Explanation:
Divide the potential difference by the current to obtain the wire resistance. 20. Power A circuit has 12 of resistance and is connected to a 12-V battery.
an electron in a cathode-ray tube is accelerated through a potential difference of 10 kv, then passes through the d
The field strength that will deflect the electrons is 2.93*10^-3 T or 2.93mT.
Calculation:
from figure
sin(o) =d/r
r =d/sin(o) =1.6/sin8 =11.5 cm
from conservation of energy
qV =(1/2)mv^2
[tex](1.6*10^-19)(10*10^3)=(1/2)(9.11*10^-31)*v^2[/tex]
[tex]v=5.93*10^7 m/s[/tex]
and
r = mv/qB
= [tex]B =mv/qr =(9.11*10^-31)*(5.93*10^7)/(1.6*10^-19)(11.5*10^-2)[/tex]
B = 2.93*10^-3 T or 2.93mT.
An electron is a subatomic particle with a negative elementary charge. Electrons belong to the first generation of the leptonic particle family and are generally considered elementary particles because they have no known composition or substructure. In the standard model of particle physics.
Electrons are the smallest particles that make up an atom and have a negative charge. In neutral atoms, the number of protons and electrons is the same, and are considered elementary or elementary particles. electrons belong to a group of elementary particles called leptons.
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A pulse of electromagnetic radiation is propagating in the negative y-direction. You have two devices that can detect electric and magnetic fields. You place detector #1 at location {eq}\rm \langle 0, 4, 0 \rangle \ m {/eq} and detector #2 at location {eq}\rm \langle 0, -4, 0 \rangle \ m {/eq}.(a) At time t = 0, detector #1 detects an electric field in the negative x-direction. At that instant, what is the direction of the magnetic field at the location of detector #1?(b) At what time will detector #2 detect electric and magnetic fields?
The following approaches describe how electromagnetic waves travel from the transmitter antenna to the receiving antenna: ground swells Ground wave propagation is the term for electromagnetic wave propagation that occurs along the surface.
What devices that can detect electric and magnetic fields?As a result, electromagnetic waves can be generated by allowing an alternating current to pass through a wire, or an antenna.
Therefore, The X axis represents spatial distance, and the Y axis represents amplitude. An oscillating magnetic field and an adjacent oscillating electric field make up electromagnetic waves.
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A person is lying on a diving board 2.50 above the surface of the water in a swimming pool. The person looks at a penny that is on the bottom of the pool directly below her. The penny appears to the person to be a distance of 7.00 from her.
Part A
What is the depth of the water at this point?
Express your answer with the appropriate units.
S =
The depth of the water at this point by using water refractive index 1.33 is 5.985m.
What is refractive index (index of refraction)?In optics, the refractive index of an optical medium is a dimensionless number that gives the indication of the light bending ability of that medium. The refractive index determines how much the path of light is bent, or refracted, when entering a material.
Distance that is below water (as seen by diver)
= 7 - 2.5 = 4.5m
apparent depth would be 4.5m
using the formula
apparent depth = real depth / refractive index
real depth = 4.5 * 1.33= 5.985m
Therefore, the real depth of the water at this point is 5.985m
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(01.03 MC)
An object is moving 10 m/s to the south. After one minute, its moving at a rate of 15 m/s. Explain what type of motion this is describing. Then explain
whether this represents a scalar or vector quantity.
The type of motion that is being described is linear motion and it is vector quantity because it has direction.
What is linear type of motion?
A linear motion is a type of motion in which the displacement of the object is directly proportional to the speed and time of motion of the object.
Also this type of motion occurs in a straight line.
The formula for final velocity in a linear type of motion is given as;
v = u + at
where;
v is the final velocity of the objectu is the initial velocity of the objecta is the acceleration of the objectt is time of motion of the objectFrom the given statement, our equation becomes;
15 m/s = 10 m/s + 60a
Thus, the above equation shows final velocity formula which is a vector quantity.
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what happens to the atomic number of an atom when the number of neutrons in the nucleus of that atom increases? (2 points) it decreases it increases it doubles it remains the same
The atomic number of an atom when the number of neutrons in the nucleus of that atom increases, it remains the same.
What is meant by atomic number?The charge number of an atomic nucleus is the chemical element's atomic number, also known as nuclear charge number (symbol Z). This is equivalent to the proton number (np), or the number of protons present in the nucleus of each atom of that element, for conventional nuclei. Ordinary chemical elements can be uniquely identified using their atomic number. The atomic number and the number of electrons are both equal in a regular, uncharged atom.Isotopes are atoms with the same atomic number but distinct neutron numbers, and thus, varying mass numbers. The standard atomic weight of an element is determined by the average isotopic mass of an isotopic mixture for that element in a particular environment on Earth. A little over three-quarters of naturally occurring elements exist as a mixture of isotopes (see monoisotopic elements).Learn more about atomic number refer to :
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It's nighttime, and you've dropped your goggles into a 3.2-m-deep swimming pool. If you hold a laser pointer 1.2 m above the edge of the pool, you can illuminate the goggles if the laser beam enters the water 1.8 m from the edge. Part A How far are the goggles from the edge of the pool? Express your answer to two significant figures and include the appropriate units. μΑ ? d= Value Unit
The distance of the goggle from the edge is 4.7 m
What is the Snell's law in physics?According to Snell's law, "For light of a particular colour and for the given pair of media, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant."Snell's Rule No. 1: The incident ray, the refracted ray, and the normal ray are all said to be on the same plane.To take the shortest path across a system, a ray shifts its direction as it passes from one refractive index medium to another. We refer to the light beam as being reflected each time a light ray crosses a barrier along its path and bounces back at an angle.Given data :
Laser angle with water surface is given by: Tan α = 1 / 1.8= 0.55
α = 26.56°
Laser angle with Normal = 90 – 26.56 = 63.44 °
Assuming a red laser, refractive index in water is 1.331.
Angle of refraction in water is given by:
Ref Ind = Sin i / Sin r
1.331 = Sin 63.44 / Sin r
Sin r = 0.8945 / 1.331 = 0.6721
Angle r = 42.22°
For the path in water:
Tan 42.22 = x / 3.2
x = 2.9m where x is the lateral displacement of the laser ince it hits the water
So the goggles are 1.8 + 2.9 = 4.7 m from edge of pool
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TRUE/FALSE. g if a body is rolling on another body, the friction force required is less than or equal to je'n the relative velocity of the points in contact is zero the linear and angular motions of a cylinder are constrained by one another the friction force leads to loss of energy
It is true that the needed friction force when one body is rolling over another body is zero in both angular and linear motion if the relative velocity of the points in contact is less than or equal to that value.
When one body slides through a surface, friction acts as a repelling force. The contact between two surfaces is what causes friction. The passage of things through a surface is not smooth if there is a lot of friction. Throughout this motion, kinetic energy is converted to thermal energy. The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time. An object's speed and direction of motion are specified by its velocity.
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Which of these can be dissipated?
Choose all that are correct.
A: chemical b: thermal c:light d: sound e: elastic
All of the following can be dissipated
thermal energylightsoundelastic energyChemical energy cannot be dissipated, but it can be converted into other forms of energy through chemical reactions.
Answer:
b: thermal c:light d: sound
Explanation:
whatever can be converted into heat
Most of the energy you expend in cycling is dissipated by the drag force. If you double your speed, you increase the drag force by a factor of 4. This increases the power to cycle at this greater speed by what factor?
A. 2 B. 4 C. 8 D. 16
The power is increased by factor of 8 beacuse of the energy consumed in increasing the drag force.
Power is the rate of energy release. CCCs have high energy, but the TNT explosion has high power. It is defined as the energy used per second. It is the rate of energy release,
power = energy/time
The most common unit for power is the watt, named after James Watt who truly developed the science of the steam engine. It was the most powerful motor of its time, and the “high tech” of the 1700s. The watt is defined as one joule per second:
1 Watt = 1 W = 1 watt = 1 joule per second
1 kW = 1 kilowatt = 1000 joules per second
The value of TNT is that even though it has less energy per gram than chocolate chip cookies, it has greater power (since it can convert its limited energy to heat in a few millionths of a b). Of course, it can’t deliver this power for very long because it runs out of energy.
Power (P) = F v
Given,
where n is new
Vn = 2v
And Fn = 4F
So Pn = Fn*Vn
= 4F *2v =
= 8 (Fv) = 8 P
So, this increases the power by factor of 8.
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Consider a fish swimming forward in the ocean. Which of the following describes the basic action/reaction forces between the fish and the water? Explain the answer.
a. The forces point in the same direction because forces in liquid media behave differently than forces in air.
b. The force of the fish points forward while the force of the water points back.
c. The force of the fish points back while the force of the water points forward.
d. The force of the fish points upward while the force of the water pulls downward.
Answer:
turn off the force
Explanation:
This painting represents the Milky Way Galaxy as it would appear edge-on from a distance. Label the indicated features; be sure to pay attention to where the leader lines are pointir Drag the labels to the appropriate blanks on the diagram. You may use a label more than once. View Available Hint(s) Reset Help bulge globulan clusters halo disk
The indicated features from top to bottom:
spiral armbulgediskIt is called a spiral galaxy because it looks like a spinning windmill when viewed from above or below. The Sun is in one of the spiral arms about 25,000 light-years away from the center of the galaxy.
Our solar system is in a galaxy called the Milky Way which is tightly packed with 100 to 400 billion other stars many of which have planets of their own. The Milky Way got its name because it looks like a stream of spilled milk across the sky. An elliptical galaxy is a type of galaxy with an almost featureless image that is nearly elliptical and smooth.
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vexplain the differences between refraction diffraction, and interference. are there any situations where more than one of those are happening at the same time? in which of these situations does the speed of a wave change? what about the wavelength? and the frequency? provide as detailed a description as possible to show that you have mastered the differences between these three processes
Refraction is when light travels from one medium to another
This is studied by considering the light as ray.
Here as the ray travels from one medium to another, its speed changes.
However, the frequency of the waves which depend on the source will not change in the other medium as well. So frequency does not change in refraction. But wavelength changes when light undergoes refraction.
Interference and Diffraction are studied treating light as wave. And both of these are basically superposition of waves
In interference, light from two coherent sources interfere with each other and the resulting wave pattern is the subject of interference.
While in diffraction, secondary wavelets emerging from the original wave's different parts is considered. The supersposition of these secondary wavelets is basically diffraction.
In both of these interference and diffraction, speed, wavelength and frequency all remains same as the speed and therefore wavelength depends only on the medium
Reflection involves the change in direction of a wave as it bounces off a barrier. Wave refraction involves the change in direction of a wave as it passes from one medium to another. Diffraction involves the change of direction of a wave as it passes around an opening or barrier in its path.
Reflection is the process of reflecting light when it hits an in-plane medium. Refraction is the process of changing the path and bending light as it passes through a material. Hence, this is the main difference between reflection and refraction.
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What is the magnitude B of the magnetic field at the location of the charge due to the current-carrying wire? Express your answer in teslas. View Available Hint(s) V AED + ? BB = V\rm{T}) Learning Goal:
To practice Problem-Solving Strategy 24.2 Magnetic force problems A long straight horizontal wire carries a current I = 1.20 A to the left. A positive 1.00 C charge moves to the right at a distance 5.00 m above the wire at constant speed v = 5000 m/s. (Figure 1) What are the magnitude and the direction of the magnetic force on the charge?
The magnitude of the magnetic field on the charge: 4.8 × 10⁻⁸ T
What is magnetic field?The magnetic field is a zone surrounding a magnetic substance or a moving electric charge where magnetism acts. Moving electric charges and magnetic dipoles combine to form a magnetic field, which acts as a force field on other adjacent moving charges and magnetic dipoles.
B and H are used to denote the magnetic field. The SI units for B and H are Newtons per meter per ampere or Teslas, respectively.
Here, by right hand rule, the magnetic field around the wire which will be into the location.
Thus, the magnitude of the magnetic field,
B = μ(0)I/2πr
or, B = [(4π × 10 ⁻⁷) × (1.20)] ÷ [2π(5.00)]
or, B = 4.8 × 10⁻⁸ T
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Choose an example of a vertical motion with a negative velocity and a negative acceleration.
A body falling down towards earth, when upward direction is considered as positive direction got negative velocity and acceleration.
What is negative velocity and negative acceleration?Negative velocity = You move backwards. Negative acceleration = You slow down or you go faster in the backwards direction.You are standing on top of a building with certain height, H and you select height of building to be positive. If you throw a stone upward it's displacement is increasing and velocity is decreasing, both of them are positive and it is attracted towards earth by an acceleration so it is downward. SO it's value is negative.After reaching the maximum height the stone comes down and it's velocity increases in the downward direction, in this situation it is having negative velocity and and negative acceleration.An object which moves in the negative direction has a negative velocity. If the object is speeding up then its acceleration vector is directed in the same direction as its motion (in this case, a negative acceleration).Negative Velocity: An object has negative velocity if its position is changing in the negative direction as time increases. If examining a graph of displacement vs. time, the velocity is negative whenever the graph has negative slope.To learn more about negative acceleration refer to:
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In searching the bottom of a pool at night, a watchman shines a narrow beam of light from his flashlight, 1.3 m above the water level, onto the surface of the water at a point d = 2.9 m from his foot at the edge of the pool Where does the spot of light hit the bottom of the h = 2.2 m deep pool? Measure from the bottom of the wall beneath his foot. Express your answer to two significant figures and include the appropriate units.
The spot of light hit the bottom of the h = 2.2 m deep pool will hit the bottom at 4.98 m away.
Here ,
height h = 2.2 m
h1 = 1.3 m
d = 2.9 m
let the distance of spot where light hit bottom from side is l
angle of incidence , i = arctan(2.9/1.3)
i = 65.9 degree
Using Snell's law
1 * sin(i) = 1.33 * sin(r)
1 * sin(65.9) = 1.33 * sin(r)
r = 43.4 degree
Now , tan(r) = (l - 2.9)/h
tan(43.4 degree) = (l - 2.9)/2.2
solving for x
l = 4.98 m
the spot Light will hit the bottom at 4.98 m away
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what is - zqxs toivde :: apple flavoured and 8 are blackberry flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at random. Calculate the probability
The probabilities regarding the sweets are given as follows:
a) both sweets were apple flavour: 5/17.
b) both sweets were blackberry flavored: 28/153.
c) the first was apple and the second was blackberry: 40/153.
How to calculate the probabilities?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The sweets are chosen without replacement, hence the probability that both sweets were of apple flavor is calculated as follows:
p = 10/18 x 9/17 = 5/17.
The probability that both were blackberry flavored is calculated as follows:
p = 8/18 x 7/17 = 28/153.
The probability that the first was apple and the second was blackberry is of:
p = 10/18 x 8/17 = 40/153.
Missing InformationThe complete problem is given as follows:
Maria has a bag containing 18 fruit drop sweets. 10 are apple flavoured and 8 are blackberry flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at random. Calculate the probability that:
a) both sweets were apple flavour
b) both sweets were blackberry flavored
c) the first was apple and the second was blackberry
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How did great britian changed the science of forces
Shortage of wood and the abundance of convenient coal deposits and Commercial-minded aristocracy of the great Britain changed the science of forces.
What is the Spread of the Industrial Revolution?Britain attempted to keep its manufacturing processes a secret, but people came to learn about them and brought the knowledge home with them.
Sometimes they used rowboats to smuggle the machines to nearby nations. Belgium, Switzerland, France, and the states that would become Germany were the first nations after Britain to build factories and railroads. Industrialization proven to require the establishment of a national train network. Switzerland's railroads were built in 1847, Belgium's in 1834, France's in 1842, and Germany's in the 1850s.
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Listed following are distinguishing characteristics of different end states of stars. Match these to the appropriate consequence of stellar death. ► View Available Hint(s) Reset Help usually has a very strong magnetic feld sometimes appears as a pulsar In a binary system, it can explode as a supernova viewed from afar, time stops at its event horizon typically about the size (diameter) of Earth supported by electron degeneracy pressure has a mass no greater than 14 MSU size defined by its Schwarzschild radius White dwarf Neutron star Black hole
White Dwarfs are normally approximately the size (diameter) of Earth, Neutron Stars occasionally appear as pulsars, and Black Holes have sizes determined by their Schwarzschild radii. They are all maintained by electron degeneracy pressure.
Describe white dwarfs:The leftover cores of extinct stars are known as white dwarfs. White dwarfs with the same mass as the Sun are roughly the same size as the Earth, and electron degeneracy pressure protects them from the crushing effects of gravity.
What is a white dwarf's primary pressure source?White dwarfs mostly experience pressure from electron degeneracy, whereas neutron stars predominantly experience pressure from neutron degeneracy. It is the boundary past which nothing or anything can elude.
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if the position of a particle on the x-axis at time t is −5t2, then the average velocity of the particle for 0 ≤ t ≤ 3 is
Answer:
Below
Explanation:
Position at t = 0 = -5 (0)^2 = 0
Position at t = 3s -5 (3)^2 = -45
average velocity = (-45- 0 ) / 3s = -15 units/s
The average velocity of the particle for 0 ≤ t ≤ 3 is - 15 unit.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that: the position of a particle on the x-axis at time t is = -5t².
Hence, at t = 0s; the position of the particle = 0 unit.
at t = 3s; the position of the particle = -5× 3²unit = - 45 unit.
Then, the average velocity of the particle
= (final position - initial position) time interval
= (- 45 - 0)/3 unit
= - 15 unit.
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