The ratio of the speed of light in a vacuum to the speed of light in a particular material is called refractive index.
When light travels in a medium other than a vacuum, the atoms of that medium constantly absorb and re-emit particles of light, slowing down the speed of light, the ratio between the speed of light in a medium and the speed in a vacuum is the index of refraction or called as refractive index.
It is a dimensionless quantity.It depends upon the properties of the material.It can also be defined as a number that tells how much slower a light wave is in a material than it is in a vacuum.It is denoted by nMathematically, n = (c/v)where n = refractive index of the material
c = speed of light in vacuum
v = speed of light in the material
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2. A small meteor in space, of mass 25000.0 kg, collides with a satellite of mass 9600.0 kg. Afterwards, the two objects merge into a single object. If the meteor was travelling at a speed 250.0 m/s, and the satellite was travelling at a speed of 375.0 m/s, calculate the new speeds if…a) …they were initially moving TOWARDS each otherb) ….they were initially moving in the same direction.
Given
Mass of the meteor, m=25000.0 kg
Mass of the satellite, m'=9600.0 kg
The speed of the meteor, v=250.0 m/s
The speed of the satellite, v'=375.0 m/s
To find
The speed after the collision
Explanation
Let the combined speed after collision be u.
a) they were initially moving towards each other
Let us consider the right direction to be positive.
Considering the meteor to be travelling towards the right and the satellite towards left.
By conservation of momentum
\(\begin{gathered} mv+m^{\prime}v^{\prime}=(m+m^{\prime})u \\ \Rightarrow25000\times250+9600\times(-375)=(25000+9600)u \\ \Rightarrow u=76.58\text{ m/s} \end{gathered}\)The combined speed is 76.58 m/s
b) they are moving in same direction
Let both the meteor and satellite moves towards the right direction
\(\begin{gathered} mv+m^{\prime}v^{\prime}=(m+m^{\prime})u \\ \Rightarrow25000\times250+9600\times375=(25000+9600)u \\ \Rightarrow u=284.68\text{ m/s} \end{gathered}\)The combined speed is 284.68 m/s
Conclusion
a. The combined speed is 76.58 m/s
b. The combined speed is 284.68 m/s
What is the difference between elastic PE and gravitational PE?
what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2
The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)
Pressure (P) = Density (ρ) × g × Depth (h)
Given: Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Depth (h) = 6 m
Using the given values, one can calculate the pressure:
Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure
= 58800 kg·m⁻¹·s⁻²
Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:
Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)
Pressure = 580.124 atm
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you choose a bowling ball with a smaller mass because you can roll it down the lane
which law is this?
(newtons laws 1,2 and 3)
Answer:
based on my research i found that it was newtons law # 1
Explanation:
Answer: newton's 2nd law revolves around mass {credits to Britannica} A lesson proving immovable objects and unstoppable forces are one and the same. Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body.
What is the most likely reason for some antelope to employ selective brain cooling
Answer:
The brain is a part of the body that is particularly sensitive to high temperature. Hence some ungulates, like the Thomson's gazelle, use a counter-current heat exchanging structure known as the carotid rete to keep the brain cooler than the body.The cooled arterial blood then continues toward the brain.
Identify the part of the water cycle when ocean water may end up in the river.
Condensation.
Precipitation.
Collection.
Evaporation.
Answer:
Collection. or Precipitation.
Explanation:
b or d
The part of the water cycle when ocean water may end up in the river is to be considered as the condensation.
What is condensation?
It is the change with regard to the state of matter from the gas phase into the liquid phase. Also, it should be considered as the reverse of vaporization.
So based on this, we can say that The part of the water cycle when ocean water may end up in the river is to be considered as the condensation.
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In a two-dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector?
a. dividing by cosine
b. dividing by sine
c. multiplying by cosine
d. multiplying by sine
Complete the following sentences:
Wave speed is NOT dependent on _________ or ____________. Instead, wave speed only changes when the ______________ changes. This means that if a sound wave is traveling in pure water and the frequency doubles, the wavelength must _________.
A car accelerates at a rate of 9 ft/s/s for a time of 11 seconds. How far does the car go?
A 2.8 kg block slides along a frictionless surface at 1.1 m/s . A second block, sliding at a faster 4.8 m/s , collides with the first from behind and sticks to it. The final velocity of the combined blocks is 2.3 m/s.
What was the mass of the second block?
Conservation of momentum is a major law of physics which states that the momentum of a system is constant if no external forces are acting on the system. It is embodied in Newton’s First Law or The Law of Inertia.the mass of the second block is 1.1Kg.
principle of momentum conservation
M1u1 plus M2u2 equals M1v1 and M2V2.
As all collisions were elastic in nature and no energy loss through friction, heat, etc. was taken into account, theoretic calculations alone cannot guarantee that there was a complete transfer of energy.
Consider the scenario where a football with mass M2 is lying on the ground and a bowling ball with mass M1 is hurled at the football at a velocity of
The formula is: (2.8 kg * 1.1 m/s) + (m2 * 4.8 m/s) = (2.3 kg + m2). 2.3 m/s
The formula is 2.8 J + (4.8 m/s m2) = 4.8 J + (2.3 m/s m2).
4.8 m/s m2 = 2.8 J plus (2.3 m/s m2)
4.8 m2 = 2.8 + 2.3 m2
2.3 m2 on each side of the equation
2.5 m = 2.8 m = 2.8 / 2.5\sm = 1.1kg
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In part A, the metal object was heated in water. If some of the hot water was transferred to the calorimeter along with the metal object, what effect would this have on the calculated value of the specific heat of the metal
Answer:
The calculated value of the specific heat capacity of the metal will be larger than the actual value
Explanation:
If some of the hot water is transferred to the Calorimeter along with the metal object whose specific heat is to calculated the effect will be that the calculated value of the specific heat of the metal will be larger than normal
this can be explained with the equation below
= heat transferred to liquid in which metal was / Δ T metal
where ΔTmetal < heat transferred to liquid
how to get acceleration working with veliocity?
Answer:
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).
Explanation:
Acceleration can be calculated by dividing the change in velocity (measured in metres per second) by the time taken for the change (in seconds). The units of acceleration are m/s/s or m/s 2.
The bellows of an adjustable camera can be extended so that the largest distance from the lens to the film is 1.45 times the focal length. If the focal length of the lens is 6.14 cm, what is the distance from the closest object that can be sharply focused on the film
Answer: 19.80 cm
Explanation:
Given
focal length \(f=6.14\ cm\) (as focal length is positive, it is converging lens)
Image distance \(v=1.5f\)
\(v=1.5\times 6.14\\v=9.21\ cm\)
using lens formula
\(\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\)
insert values
\(\dfrac{1}{u}=\dfrac{1}{6.14}-\dfrac{1}{8.9}\\\\\dfrac{1}{u}=0.1628-0.1123\\\\\dfrac{1}{u}=0.0505\\\\u=19.80\ cm\)
Thus, the distance of the object is 19.80 cm
Given:
Focal length, f = 6.14 cmNow,
The image distance will be:
→ \(v = 1.5 f\)
\(= 1.5\times 6.14\)
\(= 9.21 \ cm\)
By using the lens formula, we get
→ \(\frac{1}{v} + \frac{1}{u} = \frac{1}{f}\)
By putting the values, we get
→ \(\frac{1}{u} = \frac{1}{6.14} - \frac{1}{8.9}\)
\(\frac{1}{u} = 0.1628-0.1123\)
\(\frac{1}{u} = 0.0505\)
\(u = 19.80 \ cm\)
Thus the answer above is correct.
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1 (a) A large stone, initially at rest, falls from the top of a building. The stone takes 3.2s to fall to the ground. For this stone, air resistance can be ignored.
(i) Stating the formula that you use, show that the speed of the stone when it hits the ground is 32 m/s.
The formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at
According to equations of motion,
v = u + at
v = Final velocity
u = Initial velocity
t = Time
a = Acceleration due to gravity
t = 3.2 s
a = 10 m / s²
v = 0 + ( 10 * 3.2 )
v = 32 m /s
Equations of motion are used to describe the position of a moving object in a constantly accelerated manner. The position can be described using acceleration, velocity, displacement and time.
Therefore, the formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at
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A cross country skier moves 32 m north, then 65 m south, and finally 16 m north. What is the distance? What is the displacement ?
The distance and Displacement travelled by skier is 17m and 16 m
What is Distance and Displacement?Distance is the length of the actual path taken by object.
Displacement is the shortest distance between the initial and final position.
The SI unit of both distance and displacements is meter (m).
In this case,
Distance = 32m - 65m + 16 m
= 17 m
Here ,
Displacement = Initial position - Final position
= 32m -16m = 16m
Hence , The distance and displacement of the skier are 17m and 16m.
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1. A UEFA BAll is vertically Thrown up with an 'ni-
tial velocity of 25mls. Calculate;
i maximum height
Answer:
maximum height,h=31.25m
Explanation:
when an object is thrown vertically upward, v=0.
using the formula, v²= u²+2gh.
since the object is thrown upwards, g= -10m/s
v²=u²-2gh
0²=25²- 2×10×h
0=625-20h
20h = 625
h=31.25m
How much energy is supplied to a 9 V bulb if it is switched on for 3 minutes and takes a current of
0.2 A ?
Answer:
324J is the energy supplied
Answer:
hey hind the answer is 324 J
Explanation:
Read the following scenarioKelley chooses to move a bookshelf in his room so that he can better access it. He wants to start by moving it into the centerof the room Standing behind it, he begins to pushBased on this information, which of the following statements is correct?(1 point)It will move forward Owe to an unbalanced forceIt will move to the left because of its magnitudeIt will stay st because of the bodies grzetyIt will move to the right to a balanced force
Answer:
It will move forward due to an unbalanced force
Explanation:
Kelly is standing behind the bookshelf and begins to push, so he is applying a force that goes forward. Therefore, there will be an unbalanced force in the bookshelf and it will move in the direction of the force, forward.
So, the answer is
It will move forward due to an unbalanced force
A motorcyclist changes his speed from 20 km / h to 100 km / h in 3 seconds, maintaining a constant acceleration in that time interval. If the mass of the motorcycle is 200 kg and that of its rider is 80 kg, what is the value of the net force to accelerate the motorcycle? Help!
Answer:
2000 N
Explanation:
20 km/h = 5.56 m/s
100 km/h = 27.78 m/s
F = ma
F = m Δv/Δt
F = (200 kg + 80 kg) (27.78 m/s − 5.56 m/s) / (3 s)
F = 2074 N
Rounded to one significant figure, the force is 2000 N.
A 1,364 kg car is driving down the highway at a constant velocity of 23 m/s. What is the net force acting on the car?
A car of mass 1364 kg which is moving at a constant velocity of 23 m/s then the net force acting on the car is 31,372 N.
What is Force?In physics, a strain is an effect with the ability to alter the velocity of an object. A force can influence a surplus object's velocity to alter or rise. To describe force, a pushing or a pulling makes intuitive sense. Forces have both size and direction, since they are vector quantities. It is measured in newtons using the SI system (N). F is the symbol that denotes force.
Given data provided by the question,
Mass, m = 1364 kg and,
Velocity, v = 23 m/s
Force, F = 1364 × 23
F = 31,372 N.
Therefore, the force is 31,372 N.
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how can cell phone radiation be harmful to people
Answer:
The rays devices emit can be very harmful to humans. A few long term effects are damage to deep layers of the skin, premature aging, and cancer if exposed to high amounts of blue light.
Explanation:
URGENT URGENT DUE SOON!!
Which statement describes a question that can guide the design of a
scientific investigation?
A. It asks about a cause-and-effect relationship between two
variables.
B. It asks about the preferred outcome of the investigation.
C. It asks about whether a controlled variable is necessary.
D. It asks about how the observations will be organized.
Answer:
A.
Explanation:
Im just guessing because it sounds like it describes a hypothesis the most and you said its urgent
Which object has the greatest kinetic energy?(1 point)
Responses
a car with a mass of 1,000 kg moving at 30 m/s
a baseball with a mass of 0.5 kg moving at 30 m/s
a person with a mass of 70 kg walking at 3 m/s
a car with a mass of 1,000 kg moving at 3 m/s
Answer:1. the object with the greater speed 2. The car is moving faster. 3.a car with a mass of 1,000 kg moving at 30 m/s 4. The wildlife keeper increases speed and catches the rabbit. 5. His kinetic energy increased for a while, then it became constant.
Explanation: i did it
1. Suppose the spring in Sample Problem A is replaced with a spring that stretches
36 cm from its equilibrium position.
a. What is the spring constant in this case?
b. Is this spring stiffer or less stiff than the one in Sample Problem A?
Answer:
a. spring constant = 125 N/m
b. This spring is less stiff than the one in Sample Problem A.
Explanation:
P.S - The Sample Problem A is as follows :
Given - Sample Problem A - A load of 45 N attached to a spring that is
hanging vertically stretches the spring 0.14 m. What is the spring
constant?
Suppose the spring in Sample Problem A is replaced with a spring
that stretches 36 cm from its equilibrium position.
To find - a. What is the spring constant in this case?
b. Is this spring stiffer or less stiff than the one in Sample Problem A.
Proof -
As given,
Load = 45 N
Amplitude = 0.14 m
Let the spring constant = k
As we know that,
Load = k (Amplitude)
⇒45 = k(0.14)
⇒k = \(\frac{45}{0.14}\) = 321.43
∴ we get
Spring constant in Sample problem A = 321.43
Now,
a.)
Given, Amplitude = 36 cm = 0.36 m
Let the spring constant = k₁
⇒45 = k₁ (0.36)
⇒k₁ = \(\frac{45}{0.36}\) = 125 N/m
b.)
AS we can see that k₁ < k
⇒ This spring is less stiff than the one in Sample Problem A.
a. spring constant = 125 N/m
b. This spring is less stiff than the one in Sample Problem A.
what is spring constant?The spring constant generally shows the stiffness of the spring and is the ratio of the force applied to the deflection of the spring.
It is given in the question that:
Sample Problem A - A load of 45 N attached to a spring that is
hanging vertically stretches the spring 0.14 m.
Suppose the spring in Sample Problem A is replaced with a spring
that stretches 36 cm from its equilibrium position.
a. What is the spring constant in this case?
As given,
Load F = 45 N
Amplitude x= 0.14 m
Let the spring constant = k
As we know that spring force will be
\(F=k\times x\)
\(45=k\times 0.14\)
⇒k = 321.43N/m
∴ we get
Spring constant in Sample problem A is \(k=321.43\ \frac{N}{m}\)
Now,
Given, Amplitude = 36 cm = 0.36 m
Let the spring constant = k₁
⇒45 = k₁ (0.36)
⇒k₁= 125 N/m
b.) Is this spring stiffer or less stiff than the one in Sample Problem A.
AS we can see that k₁ < k new spring is less stiff than the one in Sample Problem A.
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a double-decker london bus (figure 1) might be in danger of rolling over in a highway accident, but at the low speeds of its urban environment, it's plenty stable. the track width is 2.05 m. with no passengers, the height of the center of gravity is 1.45 m, rising to 1.73 m when the bus is loaded to capacity. What are the critical angles for both the unloaded and loaded bus?
When the bus is fully loaded, the center of gravity rises to 1.73 m, and the critical angles are 35.3 degrees for the unloaded bus and 30.6 degrees for the loaded bus, respectively.
Center of gravity: What is it?Theoretically, the body's total weight is concentrated at a location called the center of gravity.
What distinguishes the center of mass from the center of gravity?The main distinction between the centers of mass and gravity is that the center of gravity refers to the location where the total weight of the body is balanced, whereas the center of mass refers to the location where the body's complete mass is directed.
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The driver of a 1000 kg car traveling on the interstate at 35 m/s slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead. After the brakes are applied, a constant friction force of 800 N acts on the car. Ignore air resistance, at what minimum distance should the brakes be applied to avoid collision with the other vehicle
Answer:
765.625 m
Explanation:
When brakes are applied , work is done by frictional force to reduce the kinetic energy of the car . To stop the car , the work done by brake must equalize the kinetic energy of car .
1/2 m v² = F d
m is mass of the car , v its velocity , F is frictional force and d is displacement of car .
1/2 x 1000 x 35² = 800 x d
d = 765.625 m
a stone dropps 7,11m how long will it take it to fall
The time it takes the stone to fall from a height of 7.11 m is 1.2 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the time it takes the stone to drop from an height of 7.11 m, we use the formula below.
Formula:
H = ut+gt²/2............ Equation 1Where:
H = Heightu = Initial velocityt = Timeg = Acceleration due to gravityFrom the question,
Given:
u = 0 m/sH = 7.11 mg = 9.8 m/s²Substitute these values into equation 1 and solve for t.
7.11 = (0×t)+9.8×t²/27.11 = 4.9t²t² = 7.11/4.9t² = 1.451t = √1.451t = 1.2 secondsHence, the time it takes the stone to fall is 1.2 seconds.
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Which is the best predictor of the radioactive nature of an isotope?
O the proton-to-electron ratio
O the neutron-to-proton ratio
O the neutron-to-electron ratio
O the electron-to-proton ratio
The best predictor of the radioactive nature of an isotope is the neutron-to-proton ratio. The correct option is second.
What is proton?The proton is a subatomic particle lies inside the nucleus of an atom of element. The number of proton gives an idea of the atomic number of the element.
Isotopes are the elements having the same number of protons but they don't have the same number of neutrons.
The best predictor of the radioactive nature of an isotope is the neutron-to-proton ratio.
Thus, the correct option is second.
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A man running at a speed of 12 m/s grabs a rope and swings upward. What is the maximum height he could reach?
Answer:
7.2 m
Explanation:
In this scenario, the man possesses kinetic energy as he is in motion.
⇒ KE = 1/2mv²
His potential energy will be equal to the kinetic energy as per the law of conservation of energy.
So, 1/2mv² = mgh [potential energy]
⇒ v²/2 = gh
⇒ h = v²/2g
⇒ h = (12)²/2(10)
⇒ h = 144/20
⇒ h = 7.2 m
A wave travels at a constant speed.How does the frequency change if the wavelength is reduced by a factor of 3 The frequency decreases by a factor of 3 the frequency increases by a factor of 3 the frequency increases by a factor of 9 the frequency does not change
Answer:
The frequency increases by a factor of 3.
Explanation:
The relation between speed, wavelength and frequency of a wave is given by :
\(v=f\lambda\)
or
\(f\propto \dfrac{1}{\lambda}\)
A wave travels at a constant speed. If the wavelength is reduced by a factor of 3, it would mean that the frequency increases by a factor of 3 because there is an inverse relationship between wavelength and frequency.