We know, for single slit :
[tex]y =\dfrac{ n\lambda L}{a}\\\\\lambda = \dfrac{ya}{nL}[/tex] ...1)
[tex]y = 1.4\ mm = 1.4 \times 10^{-3}\ m[/tex]
n = 2
L = 89 cm = 0.89 m
[tex]a=7.1\times 10^{-4}\ m[/tex]
Putting all these in equation 1), we get :
[tex]\lambda = \dfrac{ya}{nL}\\\\\lambda = \dfrac{1.4\times 10^{-3}\times 7.1\times 10^{-4}}{2\times 0.89 }\\\\\lambda = 5.584 \times 10^{-7}\ m[/tex]
Therefore, wavelength of the incident light is [tex]5.584 \times 10^{-7}\ m[/tex] or 558.4 nm.
Hence, this is the required solution.
Why light travels slower in glass than in air or vacuum?
Answer:
because of glass' higher refractive index
Explanation:
air and vacuum have a lower refractive index and are optically lighter, so light travels faster.
whereas glass has a higher optical density, so light travels slower
Which state of matter does this model represent?
Image of particles tightly packed
Solid
Liquid
Gas
Plasma
Answer:
gas
Explanation:
it is gas because the particles are floating up none of the above would be floating up.
Answer:
Solid
Explanation:
A: Solid- Solids have the particles tightly packed. They have a definite shape and volume
B: Liquid- Liquids have particles not to tightly packed but kind of loose. They have an indefinite shape but a definite volume
C: Gas- Gas has particles freely all around. Indefinite shape and volume
D: Plasma- Plasma is different and should be explained with an example; think of lighting....
Since the image shows tightly packed particles, it is clear the answer is a solid.
If you measured the final velocity of the car to be 1 m/s and the initial mass of the car remains the same, how much coal was added to the car in kg
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]p = 14033.7 \ kg\cdot m/s[/tex]
b
[tex]v = 1.22 \ m/s[/tex]
c
[tex]m_2 = 9506.7 \ kg[/tex]
Explanation:
From the question we are told that
The mass of the coal car is [tex]m_1 = 4527 \ kg[/tex]
The velocity is [tex]v_i = 3.1 \ m/s[/tex]
The load of coal dropped is [tex]m_2 = 6952 \ kg[/tex]
Generally the momentum of the system before the coal is added is mathematically represented as
[tex]p = m_j * v_i[/tex]
=> [tex]p = 4527 * 3.1[/tex]
=> [tex]p = 14033.7 \ kg\cdot m/s[/tex]
Generally from the law of momentum conservation is mathematically represented as
[tex]m_1 * v_i + m_2 * v_2 = (m_1 + m_2 )v[/tex]
Here [tex]v_2[/tex] is the velocity of the load before it is dropped and the value is 0 m/s
So
=> [tex]v =\frac{m_1 * v_i }{m_1 + m_2}[/tex]
[tex]v = \frac{4527 * 3.1 }{( 4527 + 6952 )}[/tex]
=> [tex]v = 1.22 \ m/s[/tex]
When v = 1m/s and [tex]m_1[/tex] remain the same
Then
=> [tex]1 =\frac{4527 * 3.1 }{4527 + m_2}[/tex]
=> [tex]4527 + m_2 = 14033.7[/tex]
=> [tex]m_2 = 9506.7 \ kg[/tex]
A man driving a car at 35 mph hits his brakes suddenly to avoid hitting a dog.
Everything in the front seat of his car slides forward and into the floorboard. Which of
Newton's laws does this illustrate?
Answer:
Inertia; Newton's First Law
Explanation:
When you hit you're breaks, the force you feel that pulls you forward is due to inertia.
Newton's first law says that "every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force." The question is a perfect example of this.
It is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.
What is the name of Newton's first law of motion?Newton's first law of motion is known as the law of inertia.
Given is a man who is driving a car at 35 mph hits his brakes suddenly in order to avoid hitting a dog. During the incident, everything in the front seat of his car slides forward and into the floorboard.
The property of body by virtue of which it resist any change in its state of rest or uniform motion is called inertia of body. When the car was moving at 35 mph, every object on front seat was also moving with the same speed. However, when the brakes were applied, they were applied on the car and not on the objects in the front seat. Hence, they keep moving forward and stop only when they strike and fall down. This is called inertia of motion. This is Newton's first law of motion.
Therefore, it is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.
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A good alternative to sit ups is
A. Crunches
B. Leg Raises
C. Side Twists
Which statement is part of Dalton's atomic theory?
Matter is composed of small particles called atoms.
Atoms can be divided into their subatomic particles.
Atoms are able to be seen with proper spectroscopy equipment.
Chemical reactions can change atoms from one type to another.
Answer:
Dalton’s atomic theory was a scientific theory on the nature of matter put forward by the English physicist and chemist John Dalton in the year 1808. It stated that all matter was made up of small, indivisible particles known as ‘atoms’.
Explanation:
Atoms can be divided into their subatomic particles.
The statement that is part of Dalton's atomic theory is as follows: Matter is composed of small particles called atoms.
What is Dalton's atomic theory?John Dalton is a scientist that first stated the theory of chemical combination in 1803.
The components of these theory are as follows:
Elements consist of indivisible small particles called atoms.All atoms of the same element are identical i.e. different elements have different types of atom. Atoms can neither be created nor destroyedTherefore, according to this question, the statement that is part of Dalton's atomic theory is as follows: Matter is composed of small particles called atoms.
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what is mechanical energy?
a. the energy associated with the motion, position, or deformation of objects
b. the energy due only to the motion of an object or its component particles
c. the energy due only to the height of an object above a surface
D. the energy contained within the atomic nuclei of atoms
Answer:
A for sure
Explanation:
3) the maximum angular displacement of a pendulum in simple harmonie motion is theta,max then the
kinetic energy is equal to the potential energy when the angular displacement is given by
Answer:
B is correct
Explanation:
Maximum Kinetic energy= Work done.
Now, Work done=mgh=mg(L−Lcosθ)=mgL(1−cosθ)
Option B is thus correct.
1. Newton's 3rd Law states...
a. Objects in motion stay in motion and objects at rest stay at rest
b. Force is equal to mass times acceleration
c. For each action there is an equal and opposite reaction
Answer:
C
Explanation:
There's a reason newton's 3rd law is called action-reaction :D
A - 1st law/inertia
B - 2nd law/f=ma
Newton's third law of motion states that for each action there is an equal and opposite reaction or force. Thus, the correct option is C.
What is Newton's third law of motion?Newton's third law of motion states that for every action or force applied in nature there is an equal and opposite reaction or force.
According to Newton's third law of Motion, if an object A exerts a force on the object B, then the object B must exert a force which is of equal magnitude and opposite direction back on the object A. This law represents symmetry in nature with the forces which are always occur in pairs, and one body cannot exert a force which is on another object without experiencing a force itself.
Therefore, the correct option is C.
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A car Excel accelerates from rest to a velocity of 5 m/s in 4 seconds. What is its average acceleration over this period of time
Answer:
1.25
Explanation:
acceleration = velocity÷time
Answer:
Its acceleration is 1.25 meters/second2
Explanation:
The car's average acceleration would be 1.25m/s^2 or 1.25meters/second/second. That looks to be the fourth one you've listed.
An 800 kg car is parked next to a 1000 kg car. Their centers of mass are 3.5 m apart. Find the gravitational force between them.
Answer:
4.356e-6 Newtons
Explanation:
Using the equation for the force of gravity F=[tex]\frac{Gm_1m_2}{r^2}[/tex]. The two masses are m1=800kg and m2=1000 kg. The value of G, the gravitational constant =6.67e-11. The problem states the distance between the center of masses of the two cars is 3.5 meters(r). Plugging in what we have from the problem, you will get 4.346e-6 newtons. This makes sense as gravity in itself is a weak force requiring extremely massive objects to result in a noticeable force.
from a flying aeroplane abody should be dropped in advance to hit the target why
From a flying plane a body should dropped in advance to hit the target,Why? ... The body should be dropped in advance as when the body is dropped it has the velocity of the plane. So, in air the body moves forward which we have to take into consideration in order to hit the target.
Three persons wants to push a wheel cart in the direction marked x in Fig. [04 Marks] The two person push with horizontal forces F1 and F2 as F1 = 45 N 70degree And F2 = 75 N , 20 Degree (a) Find the magnitude and direction of the force that third person should exert to stop this cart. You can ignore the effects of friction. (b) If the third person exerts the force found in part (a), the cart accelerates at 200 m/S2 in the (+) x-direction. What is the weight of the cart?
Answer:
a) F₃ = 108.71 N , θ = 218.68º b) m = 0.8487 kg
Explanation:
a) To solve this problem we will use Newton's second law, in the first part the accuracy is zero
∑ F = 0
X axis
F₁ₓ + F₂ₓ + F₃ₓ = 0
F₃ₓ = - F₁ₓ -F₂ₓ
Y axis
[tex]F_{1y}[/tex] + F_{2y} + F_{3y} = 0
F3y = -F_{1y} -F_{2y}
Let's use trigonometry to find the components of the applied forces
cos 70 = F₁ₓ / F₁ F₁ₓ = F₁ cos 70
sin 70 = F_{1y} / F₁ F_{1y} = F₁ sin 70
cos 20 = F₂ₓ / F2 F₂ₓ = F₂ cos 70
sin 20 = F_{2y} / F₂ F_{2y} = F₂ sin 70
F₁ₓ = 45 cos 70 = 15.39 N
F_{1y} = 45 sin 70 = 42.29 N
F₂ₓ = 75 cos 20 = 70.48 N
F_{2y} = 75 sin 20 = 25.65 N
let's calculate
F₃ₓ = -15.39 - 70.48
F₃ₓ = -85.87 N
F_{3y} = -42.29 - 25.65
F_{3y} = -67.94 N
this is the force that must be applied to keep the system in equilibrium, we can give this value in the form of module and angle
F₃ = √ (F₃ₓ² + F_{3y}²)
F₃ = √ (85.87² +67.94²)
F₃ = 108.71 N
tan θ = F₃ = [tex]F_{3y}[/tex] / F₃ₓ
θ = tan⁻¹ (67.94 / 84.87)
θ = 38.68º
Since the two values are negative, this angle is in the third quadrant, therefore the measuring angle n counterclockwise from the positive side of the x-axis is
θ = 180 + 38.68
θ = 218.68º
b) It is not clear, but we must suppose that the person exerts this force F3 in the direction of movement, bone at an angle θ= 39.68º, in this case Newton's equation for the x axis remains
F₁ₓ + F₂ₓ + F₃ₓ = m a
m = (F₁ₓ + F₂ₓ + F₃ₓ) / a
let's calculate
m = (15.39 + 7048 + 85.87) / 200
m = 0.8487 kg
What happens to the mechanical advantage of a machine if the output force is less than the input force? What must happen to output distance? Give an example of a machine that does this?
5. What is necessary to move an object from one side of a room to the other side of the room?
Answer:
You have learnt how objects move. You also know that a moving object like a ball rolling on the ground slows down. Sometimes it may change its direction of motion. It is also possible that the ball may slow down and also change its direction. what makes an object to slow down or go faster, or change its direction of motion?
Let us recall some of our everyday experiences. What do you do to make a football move? What do you do to make a moving ball move faster? How does a goalkeeper stop a ball? How do fielders stop a ball hit by a batsman? A hockey player changes the direction of the moving ball with a flick of the stick. In all these situations the ball is either made to move faster or slower or its direction of motion is changed.
Explanation:
An oil refinery uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is
ρ = 7.40 ✕ 102 kg/m3,
the inlet and outlet tubes, respectively, have a radius of 3.74 cm and 1.87 cm, and the difference in input and output pressure is
P1 − P2 = 1.20 kPa.
a) find the speed of the gasoline as it leaves the hose
b) find the fluid flow rate in cubic meters per second
Answer:
(a) V₂ = 1.86 m/s
(b) Q = 5.1 x 10⁻⁴ m³/s
Explanation:
(a)
The formula derived for Venturi tube is as follows:
P₁ - P₂ = (ρ/2)(V₂² - V₁²)
where,
P₁ - P₂ = Difference in Pressure of Inlet and Outlet = 1.2 KPa = 1200 Pa
ρ = Density of Gasoline = 7.4 x 10² kg/m³
V₂ = Exit Velocity = ?
V₁ = Inlet Velocity
Therefore,
1200 Pa = [(7.4 x 10²kg/m³)/2](V₂² - V₁²)
V₂² - V₁² = (1200 Pa)/(3.7 x 10² kg/m³)
V₂² - V₁² = 3.24 m²/s² ------------------- equation (1)
Now, we will use continuity equation:
A₁V₁ = A₂V₂
where,
A₁ = Inlet Area = πd₁²/4 = π(0.0374 m)²/4 = 1.098 x 10⁻³ m²
A₂ = Exit Area = πd₂²/4 = π(0.0187 m)²/4 = 2.746 x 10⁻⁴ m²
Therefore,
(1.098 x 10⁻³ m²)V₁ = (2.746 x 10⁻⁴ m²)V₂
V₁ = (2.746 x 10⁻⁴ m²)V₂/(1.098 x 10⁻³ m²)
V₁ = 0.25 V₂
using this value in equation (1):
V₂² - (0.25 V₂)² = 3.24 m²/s²
0.9375 V₂² = 3.24 m²/s²
V₂² = (3.24 m²/s²)/0.9375
V₂ = √(3.456 m²/s²)
V₂ = 1.86 m/s
(b)
For fluid flow rate we use the following equation:
Flow Rate = Q = A₂V₂ = (2.746 x 10⁻⁴ m²)(1.86 m/s)
Q = 5.1 x 10⁻⁴ m³/s
The formula for finding variables in a Venturi tube is shown below:
The speed of the gasolineP₁ - P₂ = (ρ/2)(V₂² - V₁²)
where, P₁ - P₂ is difference in pressure of Inlet and outlet, ρ = density, V₂ = exit velocity and V₁ is inlet velocity
P₁ - P₂ = 1.2 KPa = 1200 Pa
ρ = 7.4 x 10² kg/m³
V₂ = Exit Velocity = ?
V₁ = Inlet Velocity
We then substitute the variables into this equation.
P₁ - P₂ = (ρ/2)(V₂² - V₁²)
1200 Pa = [(7.4 x 10²kg/m³)/2](V₂² - V₁²)
V₂² - V₁² = (1200 Pa)/(3.7 x 10² kg/m³)
V₂² - V₁² = 3.24 m²/s² ------ equation (1)
The continuity equation A₁V₁ = A₂V₂ is then used
where,A₁ = Inlet area = πd₁²/4 = π(0.0374 m)²/4 = 1.098 x 10⁻³ m²
A₂ = Exit Area = πd₂²/4 = π(0.0187 m)²/4 = 2.746 x 10⁻⁴ m²
(1.098 x 10⁻³ m²)V₁ = (2.746 x 10⁻⁴ m²)V₂
V₁ = (2.746 x 10⁻⁴ m²)V₂/(1.098 x 10⁻³ m²)
V₁ = 0.25 V₂
We then substitute the value into equation 1
V₂² - (0.25 V₂)² = 3.24 m²/s²
0.9375 V₂² = 3.24 m²/s²
V₂² = (3.24 m²/s²)/0.9375
V₂ = √(3.456 m²/s²)
V₂ = 1.86 m/s
The fluid flow rate we use the following equation:This can be calculated using the formula
Flow Rate = Q = A₂V₂
= (2.746 x 10⁻⁴ m²)(1.86 m/s)
= 5.1 x 10⁻⁴ m³/s
One way in which elements differ from each other is the structure of the electron cloud in each element’s atoms. In an electron cloud, an electron that is farther away from the nucleus has
a greater charge than an electron near the nucleus.
a smaller charge than an electron near the nucleus
a higher energy than an electron near the nucleus.
a lower energy than an electron near the nucleus.
a higher energy than an electron near the nucleus
In an electron cloud, an electron that is farther away from the nucleus has a higher energy than an electron near the nucleus. Thus, the correct option is C.
What is electron cloud?An electron cloud is the region which is surrounding an atomic nucleus in which there is a very high probability of an electron being located in an atom. The probability of finding an electron is greater than the more dense regions of the electron cloud in the atom.
One way in which the elements differ from each other is the structure of the electron cloud in each of the element's atoms in an electron cloud and the electrons which is farther from the nucleus has a higher energy than an electron near the nucleus of the atom.
Therefore, the correct option is C.
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Please help answer 1,2,3.

Answer:
gbh
Explanation:
2. Solid is a state in which in maintain a fixed volume and shape
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Proposed Exercise: Conservation of the Linear Moment
Consider a block of M grease originally kept at rest on an inclined plane, without friction, by a block A. If a mass bullet m is fired with a velocity v against the block, getting stuck in it, find an expression for the distance d that the "block+bullet" system will move up to the position where it stops momentarily. Tip: here it is necessary to decompose the speed for the calculations
Explanation:
Momentum is conserved when there is no net external force. So momentum is conserved in the direction parallel to the incline.
p₀ = p
m v cos θ = (m + M) vₓ
vₓ = m v cos θ / (m + M)
After the collision, energy is conserved.
PE = KE
(m+M) gh = ½ (m+M) vₓ²
gh = ½ vₓ²
h = vₓ² / (2g)
d sin θ = [m v cos θ / (m + M)]² / (2g)
d = [m v cos θ / (m + M)]² / (2g sin θ)
Electricity is produced in a hydroelectric plant when moving water turns a turbine.
Which describes this energy transformation from the turning turbine to electricity?
A
kinetic energy into electric energy
B
nuclear energy into electrical energy
С
thermal energy into electric energy
chemical energy into electric energy
Answer:
It involves both energy transformation and energy transfer.
Explanation:
In the hydroelectric power plant, the energy is transformed from kinetic energy to electricity. Therefore, option (A) is correct.
How is the energy transformed in the hydroelectric power plant?In the hydroelectric power plant, electric energy is generated using water from a turbine. The moving water is used to propel the turbines. At first, a large amount of the flowing water is stored across the dams. The kinetic energy of moving water is stored as potential energy in the dams.
Then the stored water will fall on the turbines and rotate the turbines which causes the potential energy of water to be used to turn the turbines which is mechanical energy.
Therefore, the potential energy of water is converted into mechanical energy. Then the rotating turbines generate electricity and the mechanical energy is converted into electrical energy.
Therefore, the hydroelectric power plant converts the kinetic energy of water into electrical energy.
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If you had a string tied firmly to a post, and you created a wave that went down the string, why do you think would happen as the wave reached the post?
A.
B.
C.
D.
A robot that is exploring the surface of a planet has a mass of 120.4 kg. If the
gravitational force acting on the robot is 655.2 N downward, what is the robot's free-
fall acceleration?
Answer:
4.65.3 heehiwijwjwwjwhh
Explanation:
behsjjejejnndjjje
Answer:
D
Explanation:
A 1400 kg car traveling in the positive direction takes 11.0 seconds to slow from 25.0 meters per second to 12.0 meters per second. What is the average force on the car during this time?
Answer:
–1652 N. The negative sign indicate that the force is in opposite direction to car.
Explanation:
The following data were obtained from the question:
Mass (m) of car = 1400 kg
Time (t) = 11 s
Initial velocity (u) = 25 m/s
Final velocity (v) = 12 m/s
Force (F) applied on the car =?
Next, we shall determine the acceleration of the car. This can be obtained as follow:
Time (t) = 11 s
Initial velocity (u) = 25 m/s
Final velocity (v) = 12 m/s
Acceleration (a) =?
a = (v – u) /t
a = (12 – 25) /11
a = –13/11
a = –1.18 m/s²
Finally, we shall determine the force on the car as follow:
Acceleration (a) = –1.18 m/s²
Mass (m) of car = 1400 kg
Force (F) applied on the car =?
F = ma
F = 1400 × –1.18
F = –1652 N
Thus, the force on the car is –1652 N. The negative sign indicate that the force is in opposite direction to car.
Only mirrors reflect light? True or false?
False - Every object which is not transparent and translucent reflect light. In order to see colours, the object absorb light and reflect the light we see.
The diagram shows the four primary steps in the production of work in a four-stroke heat engine.
What is the correct order in which these steps occur?
A. Y, W, X, z
B. X, Z, W. Y
C. W, X, Y, Z
D. Z, X, Y, W
Answer:
D- Z, X, Y, W
Explanation:
Correct on edge
Fossils remains of Cynognathus , a triassic land reptile, have been found at both South America And Africa . What does this imply?
A. these continents used to be connected and later moved apart
B . People can find really cool fossils in random locations
C . the Cynognathus reptile evolved independently on 2 separate continents
D . the Cynognathus is found on both continents because it swam across the ocean
The discovery of fossils remains of Cynognathus at both South America And Africa suggests that these continents used to be connected and later moved apart.
What is the continental drift theory?According to continental drift theory:
"All of the continents were once together as a single continent named Pangaea, which was surrounded by a Mega Ocean known as Panthalassa."
Who proposed this theory?The continental drift theory was first proposed by Abraham Ortelius in 1596, and Alfred Wegener developed it in 1912.
If continental drift had not occurred what would be the explanation?On distinct continents, the species evolved independently. orTo form a second population, they swam to the opposite continent in breeding pairs.To learn more about fossils, continents, continental drift, and Pangaea here,
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A student made a model of an onion skin cell she viewed using a microscope. The scale is 500:1. The student's cell model has a length of 15 cm. How many centimeters is the cells length
I feel like I'm in a city
Answer:
0.03 cm
Explanation: If the scale is 500:1, you have to divide 500 by 15 to get 0.03. You do not multiply 500 times 15 because the cells are smaller than the scale representation so you divide.
whatis one use of a cathode ray tube
Answer:
is used to display images
Explanation:
I NEED HELP ASAP MY LAB REPORT IS DUE TOMORROW ND MY BRAIN STOPPED WORKING HOURS AGO!!!
please explain the physics behind one of those coin wishing well funnels
like angular momentum, torque, centripetal force, gravity, and inertia
PLEasseee
Answer:
When the coin rolls down the ramp, it acquires a tangential velocity, and so travels in circles around the wishing well. As gravity pulls the coin down the curve, the circles get smaller. Since angular momentum must be conserved, the coin's speed increases as it goes further down the funnel.
