Light of wavelength λ = 630 nm and intensity i0 = 250 W/m2 passes through a slit of width w = 3.6 μm before hitting a screen l = 1.7 meters away. The diffraction pattern of the light is observed on the screen.
When light passes through a slit, it diffracts, causing the light to spread out. The diffraction pattern of the light is observed on the screen. The pattern consists of a bright central maximum surrounded by a series of alternating bright and dark fringes. The distance between adjacent bright fringes is given by:
Dλ/w = (l/y)m
where D is the distance between the slit and the screen, λ is the wavelength of the light, w is the width of the slit, l is the distance from the slit to the screen, y is the distance from the center of the pattern to a bright fringe, and m is an integer representing the order of the bright fringe.
Using the given values, we can calculate the distance between adjacent bright fringes as:
y = (Dλ/w)(m*l)
For m = 1, the distance between adjacent bright fringes is y ≈ 0.0029 m.
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Use the concepts of work and energy to solve the following: You are in first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
You will not stop before you hit the spill.
Your braking distance is 10.8 m.
What is the minimum distance you can travel?
The minimum distance you can travel at the maximum braking force is calculated as follows;
Apply the principle of work energy theorem as follows;
K.E = W
¹/₂mv² = Fd
where;
m is the mass of the Kartv is the speed of the KartF is the maximum braking forced is the minimum distance travelled¹/₂(5)(5.5)² = 7d
75.625 = 7d
d = 75.625 / 7
d = 10.8 m
Hence, you will hit the spill since 10.8 m is greater than 10 m.
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If a ball is dropped from the top of a
building and it takes 11 seconds to hit the
ground, how tall is the building? travel?
A 10. 0 g pebble is placed in a sling shot with a spring constant of 200. 0 n/m and is stretched back 0. 500 m. What is the maximum velocity the pebble will acquire?.
The maximum velocity the pebble acquires while placing it in a sling shot with a certain spring constant and in a stretched back position is 70.71 m/s.
Given that,
Mass of the pebble m = 10 g
Spring constant k = 200 N/m
Extension in the sling shot x = 0.5 m
As energy is conserved therefore, slingshot's elastic potential energy is converted into kinetic energy of pebble,
1/2 k x² = 1/2 m v²
200 × 0.5² = 10 × 10⁻³ v²
10⁻² v² = 50
v² = 50 × 10²
v = 70.71 m/s
The maximum velocity of the pebble is calculated to be 70.71 m/s.
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The graph represents the simple harmonic motion of a mass on a spring.
Which arrow indicates the amplitude of the motion?
A
B
C
D
Answer:
B
Explanation:
Amplitude, in simple terms, is height of the peak. This is done by measuring the peak point to the middle line.
That is B.
Determine the acceleration of a soccer ball if a footballer may strike a ball of mass 500g with a force of 200 N
The acceleration of the soccer ball is determined as 400 m/s².
What is the acceleration of the soccer ball?
The acceleration of the soccer ball is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
m is the mass of the object in kga is the acceleration of the object is m/s²The acceleration of the soccer ball is calculated as;
a = ( F ) / ( m )
a = ( 200 N ) / ( 0.5 kg )
a = 400 m/s²
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How does shaking the box represent the energy given off by the radioactive
elements when they become stable?
Answer:
shaking the box requires energy given off when the elements change to become stable.
A baseball is pitched at 70 miles per hour (but instead use 31.29 meters/second). The baseball has a mass of 0.145 kg. The catcher catches the ball, and the catcher has 95.9 kg of mass. The catcher is originally stationary (not moving). What is the speed of the catcher (and the ball, combined) immediately after he catches the baseball?
The combined speed of the catcher and the ball is 0.047 m/s.
What is the combined speed?In the case of the question that we have here, we would need to apply the principle of the conservation of linear momentum. It is the principle that stresses the fact that the momentum before collision must be the same as the magnitude of the momentum after collision.
We then have that;
Momentum before collision = Momentum after collision
(0.145 * 31.29) + (95.9 * 0) = (95.9 + 0.145)v
v = the combined speed
Then we have;
4.54 = 96v
v = 4.54/96
v = 0.047 m/s
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Please answer by 8:00!!! Thank you so much!
A
good examples of a moist passageway that does oxygen exchange are your throat, heart, and nostrils. (simplified answer)
From 0-3 seconds Is the object
1) From 0 to 3sec , the object is a)increasing in speed ; 2) From 3 - 6 sec, object is c) neither ; 3) From 6 - 10 sec, object is b) decreasing in speed.
What is speed and acceleration?Speed is the distance covered in an unit of time whereas acceleration is the rate of change of the speed. The unit of speed is meters per second (m/s) and that of acceleration is meters per second squared. Speed is a scalar quantity but acceleration is a vector quantity.
Speed is defined as the rate of change of distance. Velocity is the rate of change of displacement (change of distance in particular direction with respect to time) and acceleration is rate of change of velocity per unit time.
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Which is a complete description of the momentum of an object?O 4.2 m/s, eastO 2.4 kg/mO2 kg/sO 1.9 kg*m/s, west
1.9 kg*m/s
As we know that momentum is directly proportional to Mass and Velocity
Momentum= k*M*V
where k is the proportional constant, which is equal to 1 in this case.
(M*V). And by now if we talk about Unit then Mass has SI Unit as Kg. and Velocity have as m/s
I option 1 we unit as m/s which simply shows the unit of Velocity. whereas option 2 is 2.4 kg/m which is not true as we already calculated as it must be kgm/s similarly in the case of option 3 2kg/s which again is not exactly the same SI unit of what we calculated before using equating the equation.
we can calculate the Kinetic energy by multiplying moment by Velocity and dividing 2.
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Does anyone know what car model this is? i needa answer asap please help. It was in a IIHS car crash test i think. need this question done for physics.
Answer:
Lincoln town car (luxury Ford car)
used commonly for taxi/limos
like around 1995
edmunds
An inactive student wants to become more physically active but does not think he has the time. What is the most effective thing he can do to start making physical fitness a priority?
The most effective way for an inactive student to become more physically active is to make a schedule and stick to it. This can involve setting aside specific times for exercise each day.
How can one be physically active?Starting with small goals and gradually increasing the duration and intensity of their physical activity can also be helpful. Including physical activity into their daily routine like taking the stairs instead of the elevator or going for a walk during lunch, can make it easier to fit exercise into their busy schedule.
Why is physical fitness important?Physical fitness is important for a number of reasons like improved Health, better mental health, increased energy, improved sleep and better brain functioning.
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An inductor and a resistor are connected in a simple series circuit. If the inductance increases, the current in the circuit
a. Does not change.
b. Decreases.
c. Increases.
An inductor and a resistor are connected in a simple series circuit. If the inductance increases, the current in the circuit decreases. The correct answer is b.
An inductor is a passive component that stores energy in a magnetic field when electric current flows through it. In a series circuit, the current flows through both the inductor and the resistor. When the inductance of the inductor increases, the opposition to the current flowing through it also increases, known as inductive reactance. This results in a decrease in the current flowing through the circuit, as more energy is being stored in the magnetic field of the inductor and less is available to flow through the resistor.
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5. A bullet accelerates at 5.8 x 10 m/s from rest as it travels the 0.80 m of the
rifle barrel.
a
How long was the bullet in the barrel?
b. What velocity does the bullet have as it leaves the barrel?
Answer:
Below
Explanation:
d = 1/2 a t^2
.80 = 1/2 ( 5.8 x 10^?) t^2
( I think you left off the exponent...and acceleration has units m/s^2 ...not m/s)
t = .166 s
v = at = 58 x .166= 9.63 m/s
A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car moving in the same direction at 2 m/s. after the collision the car moves at 142 m/s, what is the final velocity of the truck?
The final velocity or speed of the truck is about 2.5 m/s.
What is the momentum?We have to recall that in this case, the principle of the conservation of the linear momentum must come to mind. From the principle that we have it ought to be know that;
Momentum before collision = Momentum after collision
Then we would have;
(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)
8000 + 100 = 7100 + 400v
8100 - 7100 = 400v
v = 1000/400
v = 2.5 m/s
The velocity is 2.5 m/s from the calculation that we have done.
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a stone tumbles into a mine shaft and strikes bottom after falling for 4.2 seconds. how deep is the mine shaft
The mine shaft has been found to be exactly about 84 m deep.
How deep is it?Let us know that in this case, we have to look at the equation of the motion that is taking place under gravity. This is because, we we can see, the shaft that we have would appear to have been falling freely under the influence of the force of gravity.
We have;
h = ut + 1/2gt^2
h = height
u = initial velocity
g = acceleration due to gravity
t = time taken
Given that u = 0 m/s
h = 1/2gt^2
h = 0.5 * 9.8 * 4.2^2
h = 84 m
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Explain why an 80,000 pound big rig traveling 2 mph has the same momentum as a 4,000 pound sport utility vehicle (suv) traveling 40 mph.
Answer:
Below
Explanation:
Momentum = m * v
80 000 *2 = 4000 *40
160 000 = 160 000 they have the same momentum
What are the factors required for the choice of electric propulsion systems for EVs and HEVs?
When it comes to choosing the right electric propulsion system for electric vehicles (EVs) and hybrid electric vehicles (HEVs), there are several factors to consider. These include power needs, cost, efficiency, environmental impact, and safety.
Power needs are important to consider as the right system will be able to provide enough power for the vehicle’s needs without overpowering it. Cost is also an important factor when selecting a propulsion system as some systems can be expensive.
Efficiency is also key to consider as some systems can be more efficient than others. Environmental impact is also important as some propulsion systems are more efficient and have lower emissions than others. Finally, safety is an important consideration, as some systems may be safer than others.
By considering all of these factors when selecting an electric propulsion system for an EV or HEV, vehicle owners can ensure they are making the best choice for their needs.
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When the woman in Example 14.4 expels some of the air in her lungs, what happens to her density and her submerged volume
The density of woman can be calculated from the fraction of submerged. The submerged volume is equal to the volume of fluid displaced.
How does the Archimedes Principle relate to buoyancy?Any object that is partially or fully submerged in a fluid will always be subject to the buoyant force. The buoyant force on an object is equal to the weight of the fluid it pushes away, according to Archimedes' principle.
the woman’s density by solving the equation
fraction submerged = ρ woman/ρ fluid
Density of woman ρ woman => fraction submerge x ρ fluid
Volume of submerged = Volume of float = mass float/ρ fluid.
What is the guiding concept of Archimedes?The buoyant force, which is equal to the weight of the fluid the body displaces, acts on a body at rest in a fluid by pushing upward. If the body is entirely immersed, the amount of fluid that is displaced is equal to the body's volume.
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How can a protective device minimize the magnitude of the net
force acting on an egg in a cart during a collision?
This reduces the force of the impact on the egg, limiting the amount of damage it receives.
What is force ?
Force is an influence that can cause a change in the motion, direction, or shape of an object. It is a vector quantity, meaning it has both magnitude and direction. Forces are a result of interactions between objects, and can either be a push or a pull.
Force can cause an object to accelerate, decelerate, or remain in its current state of motion. Examples of forces include gravity, friction, electromagnetism, and the normal force. Force is measured in units of Newtons (N).
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gas expands when 591 J of energy is added to it as heat. The expanding gas does 431 J of work on its surroundings.
(a) What is the overall change in the internal energy of the gas?
J
(b) If the work done by the gas were equal to 1102 J (rather than 431) J), how much energy would need to be added as heat in order for the change in internal energy to equal the change in internal energy in part (a)?
Let us cut the work done on gas as we move along the direct path
W=-(-area undercurve),=-[(1.00atm)(4.l-2)+1/2(4-1)(4-2)],W=-5atm
The change in internal energy=-88.5J
What does physics mean by internal energy?
In thermodynamics, internal energy is a property or state functional that characterises a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.
What makes it internal energy?
Internal Energy is the energy in a thermodynamics that is NOT either the system's total kinetic energy or the gravitational potential energy. The system's internal freedom levels are connected to the internal energy.
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Count The Significant Digits In Each Of These Measurements:: Measurement Number of significant digits -9.0x10-1 kJ/mol 9.6 x 10^-1 mL 0.006600 J 91900 kg
All the non zero digits are significant and 9*10^-1 has 3 significant figures. Leading zeros and succeeding zeros are not significant.
Rules to find significant digits. 0.175 has 3 significant figures, 1930000 has 3 significant figures, 0.045 has 2 significant figures. Zeros after decimals are significant, provided they must have a significant figure(s) on the left side of them. Example-5.730 has 4 significant figures.
40.038 has 5 significant figures. All constants or exponential nos. and trigonometric angles are not significant. Example- 50° has no significant figure. Speed of light-3*10^8 m/s have no significant figures. 14*10^7 have 2 significant figures.
Zeros between two significant figures are significant. Example-40.0 have 3 significant figures. All amounts like 4 apples ,7 children have infinite no.of significant figures.
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15. Go back and click on Transition Metals (left bar) and answer these questions. a. How many elements are in this group? _____________ b. What are the group numbers? ___________ through ___________ c. Name the three elements in this family that produce a magnetic field. ________________________, _________________________, and __________________________.
The answers include the following below:
There are 38 elements which are in this group of transition metals.The elements in groups 3-12 are called the transition metals.The three elements in this family that produce a magnetic field are Iron, cobalt and nickel.What is a Transition metal?These are elements that have partially filled d orbitals and occupy a central block in the periodic table.They have high melting points and boiling points and are good conductors of heat and electricity.
There are thirty eight elements in this group and only three is able to produce a magnetic field and they include iron, nickel and cobalt.
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How do astronomers find asteroids heading toward Earth?
Astronomers use a variety of techniques to find asteroids that may be on a collision course with Earth. Some of them are by using optical telescopes and infrared telescopes, and radio telescopes. Once an asteroid is detected, astronomers use its position and velocity data to calculate its orbit and determine if it poses a threat to Earth.
Optical telescopes are equipped with cameras that can take images of a large area of the sky at once. The images are then compared over time to identify asteroids that are moving in relation to the stars.
Infrared telescopes are useful for finding asteroids that are in the inner solar system, where they are closer to the sun and therefore warmer. This is particularly useful for finding asteroids that are difficult to detect using traditional optical telescopes, as many asteroids are dark and therefore do not reflect much light.
Radio telescopes involve bouncing radar waves off asteroids and measuring the time it takes for the waves to return. By analyzing the radar data, astronomers can determine the asteroid's distance and speed, as well as its size and shape.
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A child of mass 40kg jumps off a wall and hits the ground at 4m\s.he bends his knees and stops in 1s.calculate the force required to slow him down.how would this force be different if he didn't bend his knees and stopped in 0.1s?
Answer:
F
=
m
Δ
v
t
force = mass * change in velocity / time
at
1
s:
mass:
40
kg
change in velocity (taking downwards as a positive direction):
4
m/s to rest
=
4
−
0
=
4
m/s
time:
1
s
m
Δ
v
t
=
160
1
=
160
force applied
=
160
N
at
0.1
s:
m
Δ
v
t
=
160
0.1
=
1600
force applied =
1600
N
How does an HEV work?
An HEV, or hybrid electric vehicle, is a type of vehicle that works by combining a traditional gasoline-powered engine with an electric motor that is powered by a battery.
The electric motor and battery are used to supplement the gasoline engine, allowing the vehicle to operate more efficiently and using less fuel.
The electric motor is used to power the vehicle at low speeds and during acceleration, while the gasoline engine is used at higher speeds and to keep the battery charged.
By using both sources of power, an HEV is able to work better fuel economy than a traditional gasoline-powered vehicle, making it a great choice for those looking to reduce their environmental impact.
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1. What is the total energy of all of the particles?
in an object called?
A. chemical energy
B. thermal energy
C. potential energy
D. nuclear energy
In trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. In trial 2, the setup is identical except that the carts stick together during the collision. How does the speed of the two-cart system’s center of mass change, if at all, during the collision in each trial?answer choicesTrial 1: Does not changeTrial 2: Does not changeTrial 1: Does not changeTrial 2: DecreasesTrial 1: DecreasesTrial 2: Does not changeTrial 1: DecreasesTrial 2: Decreases
The speed of the two-cart system’s center of mass during the collision in Trial 1: Does not change, and in Trial 2: Decreases.
In Trial 1 of the experiment, the carts collide elastically and the speed of the two-cart system's center of mass does not change during the collision. In Trial 2, the carts stick together and the collision is inelastic. Some of the kinetic energy is converted into internal energy, resulting in a decrease in kinetic energy and the speed of the center of mass. In conclusion, the speed of the center of mass does not change during the collision in Trial 1, but, decreases in Trial 2 as a result of a decrease in the kinetic energy.
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lydia picks up oranges each of which is 1kg from a basket on the ground and puts them on a table that is 1.5 meter high. how much work is she doing on each orange
Explanationnswer:
Answer:find out ;/
Explanation:
The processes that transform rock from one type to another are part of the
The different types of rocks found in the Earth's crust are created and altered through a sequence of events known as the rock cycle.
The cycle of rocksGeologists use the term "rock cycle" to describe how the three main types of rocks—sedimentary, metamorphic, and igneous—transition throughout the course of geologic time. When pushed outside of its equilibrium circumstances, each type of rock undergoes change.
The three major rock types—igneous, metamorphic, and sedimentary—are formed and degraded in accordance with various applications of heat and pressure throughout time, according to a web of processes known as the rock cycle. For instance, adding heat and pressure transforms sedimentary rock shale into slate.
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