Answer:
a
[tex]\theta _2 = 13^o[/tex]
b
[tex]\theta _1 =32.94^o[/tex]
c
[tex]\theta_c = 53.05^o[/tex]
Explanation:
From the question we are told that
The angle of incidence is [tex]\theta_1 = 10^o[/tex]
The refractive index of water is [tex]n_1 = 1.3[/tex]
Generally Snell's law is mathematically represented as
[tex]n_1 sin(\theta_1) = n_2 sin(\theta_ 2)[/tex]
Here [tex]n_2[/tex] is the refractive index of air with value [tex]n_2 = 1[/tex]
[tex]\theta_2[/tex] is the angle of refraction
So
[tex]\theta _2 = sin^{-1}[\frac{n_1 * sin(\theta _1)}{n_2} ][/tex]
=> [tex]\theta _2 = sin^{-1}[\frac{1.3 * sin(10)}{1} ][/tex]
=> [tex]\theta _2 = 13^o[/tex]
Given that the angle should not be greater than [tex]\theta _2 =45^o[/tex] then the angle of incidence will be
[tex]\theta _1 = sin^{-1}[\frac{n_2 * sin(\theta _2)}{n_1} ][/tex]
=> [tex]\theta _1 = sin^{-1}[\frac{1 * sin(45)}{1.3} ][/tex]
=> [tex]\theta _1 =32.94^o[/tex]
Generally for critical angle is mathematically represented as
[tex]\theta_c = sin^{-1}[\frac{n_2}{n_1} ][/tex]
=> [tex]\theta_c = sin^{-1}[\frac{1}{1.3} ][/tex]
=> [tex]\theta_c = 53.05^o[/tex]
A 2.0 kg block is released from rest at the top of a curved incline in the shape of a quarter of a circle of radius R = 3.0 m. The block then slides onto a horizontal plane where it finally comes to rest a distance D from the beginning of the plane. The curved incline is frictionless, but there is a coefficient of friction, μ = 0.5, on the horizontal plane. Determine the velocity of the box at maximum kinetic energy
The block has maximum kinetic energy at the bottom of the curved incline. Since its radius is 3.0 m, this is also the block's starting height. Find the block's potential energy PE :
PE = m g h
PE = (2.0 kg) (9.8 m/s²) (3.0 m)
PE = 58.8 J
Energy is conserved throughout the block's descent, so that PE at the top of the curve is equal to kinetic energy KE at the bottom. Solve for the velocity v :
PE = KE
58.8 J = 1/2 m v ²
117.6 J = (2.0 kg) v ²
v = √((117.6 J) / (2.0 kg))
v ≈ 7.668 m/s ≈ 7.7 m/s
The velocity of the block at maximum kinetic energy is 7.668 m/s.
From potential energy formula,
PE = m g h
Where,
m = mass = 2 kg
g -gravitational acceleration = 9.8 m/s²
h - height = 3 m
Put the values in the formula,
PE = (2.0 kg) (9.8 m/s²) (3.0 m)
PE = 58.8 J
Since,
PE = KE
Thus,
58.8 J = 1/2 m v ²
117.6 J = (2.0 kg) v ²
v = √((117.6 J) / (2.0 kg))
v = 7.668 m/s
Therefore, the velocity of the block at maximum kinetic energy is 7.668 m/s.
To know more about potential energy
https://brainly.com/question/21288807
please answer it fast and correctly
Answer:
(1) chess is played by him
(2) The great black engine was seen by her
(3) Arrangements for functions had been made by him
(4) A meeting is being attended by Raman
= when the last of the guests left, I went back into the hall to look for my mobile phone that I had kept on the table, I found that my mobile phone was not there. I felt freaked and I asked to every member of my family about my phone, but nobody had idea about that. then there was a phone call made by my uncle to my father, that his son had taken the mobile by mistake. After sometime, My uncle came to return my mobile. Then I took a sigh of relief .
please mark me as a brainelist
The magnitude of the resultant of two vectors of magnitude 3 units and 4 units is 5 units. What is the angle between two vectors?
Explanation:
Using Cosine rule, we have 5² = 3² + 4² - 2(3)(4)(cosx).
=> cosx = 0, x = 90°.
A 4000-kg car bumps into a stationary 6000kg truck. The Velocity of the car before the collision was +4m/s and -1m/s after the collision. What is the velocity of the truck?
Answer:
The velocity of the truck is 3.33 m/s
Explanation:
Law Of Conservation Of Linear Momentum
The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is
P=mv.
If we have a system of bodies, then the total momentum is the sum of the individual momentums:
[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]
If some collision occurs, the velocities change to v' and the final momentum is:
[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]
In a system of two masses:
[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]
There are two objects: The m1=4000 Kg car and the m2=6000 Kg truck. The car was moving initially at v1=4 m/s and the truck was at rest v2=0. After the collision, the car moves at v1'=-1 m/s. We need to find the velocity of the truck v2'. Solving for v2':
[tex]\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}[/tex]
Substituting:
[tex]\displaystyle v'_2=\frac{4000*4+6000*0-4000(-1)}{6000}[/tex]
[tex]\displaystyle v'_2=\frac{16000+4000}{6000}[/tex]
[tex]\displaystyle v'_2=3.33[/tex]
The velocity of the truck is 3.33 m/s
I REALLY NEED HELP ON PHYSICS!!!
10 POINTS
Answer:
25.021 sec
Explanation:
v=d/t
-2.33= - 58.3/t
t= - 58.3/-2.33
t=25.021 sec
PLEASE HELP ASAP!!!
Bradley is installing fencing on a farm. As he is installing the fencing, he moves 65.0 meters directly south, then turns, and goes 44.0 meters at an angle 25.0° east of south, where he finishes his work shift. What is his final displacement vector at the end of his shift??
a. 107m, 10.1°, east of south
b. 107m, 10.1° south of east
c. 121m, 14.1° south of east
d. 121m, 14.1° east of south
Answer:
The correct option is;
a. 107 m, 10.1°, east of south
Explanation:
The given question can be answered using vectors as follows;
The initial displacement south by Bradley = 65.0 meters
In vector form, we have
The initial displacement south by Bradley = -65·j
The displacement 25.0° east of south = 44.0 meters
In vector form, we have
The displacement 25.0° east of south = 44 × sin(25°)·i - 44 × cos(25°)·j
In vector, form, we have;
The total displacement = The sum of the vectors of the two displacement
∴ The total displacement = -65·j + 44 × sin(25°)·i - 44 × cos(25°)·j
The total displacement = 44 × sin(25°)·i - (44 × cos(25°) + 65)·j
We use the i and j components to find the magnitude and the direction of the total displacement as follows;
The magnitude of the total displacement = √((44 × sin(25°))² + (44 × cos(25°) + 65)²) = 106.5132881 ≈ 107
The magnitude of the total displacement ≈ 107 m
The direction of the total displacement = arctan((44 × sin(25°))/((44 × cos(25°) + 65)) = 10.0542797419° ≈ 10.1° east of south
At which point is the kinetic energy the greatest?
Answer:
Kinetic energy is energy an object has because of its motion and is equal to one-half multiplied by the mass of an object multiplied by its velocity squared (KE = 1/2 mv2). Kinetic energy is greatest at the lowest point of a roller coaster and least at the highest point.
Explanation:
here is an example Where is the apple when it has the most kinetic energy? When the apple is falling and is right before it hits the ground. As an object falls under the influence of gravity, kinetic energy and potential energy are equal everywhere/at the halfway point only. 10. As an object falls under the influence of gravity, potential energy is greater than kinetic energy after halfway point/ before the halfway point
In the roller coaster, the kinetic energy is greatest at point X.
The kinetic energy of a body is given by 1/2mv^2.
Where;
m = mass of the object
v =velocity of the object.
For a roller coaster, the velocity is maximum at the lowest points of the roller coaster. If the velocity is maximum at the lowest point, it also follows that the kinetic energy is also maximum at the lowest point. Hence point X has the highest kinetic energy.
Learn more: https://brainly.com/question/999862
What element conducts heat and electricity:
Helium
Potassium
Sulfur
Copper
Arsenic
Which of the four spheres is this pictures/scene?
A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere
Answer:
I Believe the answer is
[tex]D. \: \: atmosphere[/tex]
Explanation:
I hope how this helps!
If an object has a weight of 4050 N near the surface of the Earth, what is its mass?
Answer:
417.5 kg
Explanation:
Since the gravitational for of attraction F, equals the weight of the object W when its close to the earth, F = GMm/R² = W = mg where m = mass of object and g = acceleration due to gravity close to the earth = 9.8 m/s².
g = GM/R² where g = acceleration due to gravity close to the earth, G = universal gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg², M = mass of earth = 5.927 × 10²⁴ kg and R = radius of earth = 6.4 × 10⁶ m
So, g = GM/R²
= 6.67 × 10⁻¹¹ Nm²/kg² × 5.927 × 10²⁴ kg/(6.4 × 10⁶ m)²
= 39.53 × 10¹³ Nm²/kg ÷ 40.96 × 10¹² m²
= 9.65 N/kg
≅ 9.7 N/kg
= 9.7 m/s²
Since W = 4050 N and W = mg
m = W/g = 4050 N/9.7 m/s²
= 417.53 kg
≅ 417.5 kg
So, the mass of the object is 417.5 kg
Suppose the green car was traveling at 0 miles the white car was traveling at 70 miles at the red car was trailing at 22 miles which car is covering the most distance every second?
Answer:
The white car will cover the most distance every second.
Explanation:
The formula for the uniform speed of an object is given as follows:
[tex]s = vt[/tex]
where,
s = distance covered by the object
v = speed of the object
t = time required
Now, if we assume time to be constant at 1 s. Then the distance covered by each car will be directly proportional to the speed of the car. Hence, the car with the greatest speed will travel the greatest distance in 1 second.
We, have:
Speed of white car > Speed of red car > Speed of green car
Therefore, the white car will cover the most distance every second.
Which wave form will Rayleigh waves most likely create?
A. an ocean wave
B. a skier moving down a mountain hill
C. a car traveling through the sand dunes
D. a whale gliding along the ocean's surface
The argument against your claim (what the other side would say if they disagreed with your claim.) is:
Group of answer choices
counterclaim
author's purpose
opinion
argument
Answer:
a counterclaim
Explanation:
authors purpose is what an author wrote somthing for
opinion is someones thoughts or "side" on a argument
an arguement is a battle of opinions if that makes sense
1 point
Which will hit the ground first, if both objects are dropped from the same
height at the same time IN AIR?*
O an icicle
O a snow flake
O both hit the ground at the same time
Answer:
an icicle
Explanation:
and icicle has less air resistance compared to that of a snow flake
How much heat is lost by 2.0 grams of water if the temperature drops from 31 °C to 29 °C? The specific heat of water is 4.184 J/(g • °C) *
1 point
a) 4.0 J
b) - 7.5 J
c)- 8.4 J
d) - 16.7 J
Given :
Mass of water, m = 2 grams.
The temperature of water drops from 31 °C to 29 °C .
The specific heat of water is 4.184 J/(g • °C).
To Find :
Amount of heat lost in this process.
Solution :
We know, heat lost is given by :
[tex]Heat\ lost,H = ms( T_f - T_i)\\\\H = 2\times 4.184 \times ( 31 - 29 )\ J\\\\H = 16.736\ J[/tex]
Therefore, amount of heat lost in this process is 16.736 J.
role play pokimon only
Answer:
huh
Explanation:
im so confused
Answer:
eevee
Explanation:
A container is filled with liquid the depth of the liquid is 60 CM if exertingc in pressure is 2000pa. calculator the density of a liquid
Answer:
The density of the liquid is 340.136 kg/m³
Explanation:
Given;
depth of liquid in the container, h = 60 cm = 0.6 m
pressure of the liquid, P = 2000 Pa = 2000 N/m²
The pressure of the liquid is calculated as ;
P = ρgh
where;
ρ is density of the liquid
g is acceleration due to gravity = 9.8 m/s²
h is depth of the liquid
Make the density (ρ) the subject of the formula;
[tex]\rho = \frac{P}{gh} \\\\\rho = \frac{2000}{9.8 \times 0.6}\\\\\rho = 340.136 \ kg/m^3[/tex]
Therefore, the density of the liquid is 340.136 kg/m³
Which of the following substances can be separated into several elements?
A. nitrogen B. zinc
C. air D. aluminum
Answer: C
Explanation: Air
Hope this helps! Brainlist Plz?
The following substances can be separated into several elements is the air because consisting of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases.
What is air composed of?Atmospheric air is made up of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases. Oxygen and nitrogen are the most abundant gases, with the other gases being found in smaller amounts.
So the only element that we can separate into is air, because when performing the separation we find oxygen, nitrogen, carbon dioxide and noble gases.
See more about air at brainly.com/question/19368011
#SPJ2
1.
Asthenosphere
a. the liquid layer located between the mantle and the inner
core
2.
Continental crust
b. the inner most solid layer of Earth
3.
Convection currents
the parts of Earth's crust located beneath the ocean that
make up the seafloor
4.
Crust
5.
Density
d. a transition zone beneath the lithosphere that is semi-
fluid, sometimes referred to as the plastic layer
6.
Inner core
e. the hard, rigid outermost layer of Earth
7
Lithosphere
f. all the parts of the Earth's crust that are not beneath the
ocean
8
Mantle
9.
Mesosphere
g the layer that is directly below Earth's crust and is divided
into 3 parts: lithosphere, asthenosphere, and mesosphere
h. the amount of force on a substance
10.
Oceanic crust
1. the solid lower layer of the mantle
11.
Outer core
j. the rigid, solid upper mantle connected to Earth's crust
12
Pressure
ki instrument used to measure earthquake waves
13.
Seismograph
1. the layer of Earth that is split into larger pieces: it floats on
the asthenosphere and moves due to convection currents
14.
Tectonic plates
m. the measure of mass per volume; the number of particles
in a given space
in movement of liquid and gaseous matter in a circular
motion caused by a difference in temperature; warm rises
and cool sinks, causing a circular current
Answer:
dsfghrtykuyjfcjuktj,ilyk
Explanation:
jgbnm,g bcm
How does variation impact natural selection?
how does a plane mirror work
Answer:
Plane mirrors work because the light rays create a virtual image behind the mirror. Light rays from the object strike the mirror and reflect according to the law of reflection. ... Therefore, our eye and brain track the light rays backward to a position from which they appear to have come.
The vertical (top to bottom) parts of periodic table are called groups or
If an object is resting on a surface it "crunches" the atoms underneath it. According to Newton's Third Law the surface pushes back on the object. What is the name given to this force that acts perpendicular to the surface?
Answer:
Normal force
Explanation:
Normal force is the force that surfaces employ so that solid objects are disallowed from passing through each other.
in winter morning as soon as we wake up , the air inside the room is cold but if we go out and return to the same room , we feel warm why?
An icicle falls off of a skyscraper from rest and falls for 34 seconds. How fast will that icicle be moving after that time? Show all work and units. (a = g = 9.81 m/s^2) *
Answer:
The icicle will be moving at 333.54 m/s
Explanation:
Free Fall Motion
A free-falling object falls under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not encounter air resistance.
If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.81 m/s^2[/tex].
The final velocity of a free-falling object after a time t is given by:
vf=g.t
The icicle falls from rest for 34 seconds. We need to find the speed after that time:
vf = 9.81*34
vf = 333.54 m/s
The icicle will be moving at 333.54 m/s
Which of the following are single-displacement reactions?
A Mg (s) + 2H,0 (g) → Mg(OH)2 (aq) + Hz (g)
B. 2C,H6 (g) + 70, (g) → 6H,0 (9) + 4CO, (g)
c. AgNO3 (aq) + NaCl (aq) → AgCl (s) + NaN3 (aq)
D. Clz (9) + KBr (aq) → KCI (aq) + Br2 ()
Multiple answer are allowed!!!
Answer:
A & D
Explanation:
A single-displacement reaction is a chemical reaction whereby one element is substituted for another one in a compound and thereby generating a new element and also a new compound as products.
From the options, only options A & D fits this definition of single-displacement reactions.
For option D: Both left and hand and right hand sides each have one element and one compound. We can see that K is substituted from KBr to join Cl to form KCl and Br2 on the right hand side.
For option A: Both left and hand and right hand sides each have one element and one compound. We can see that OH is substituted from 2H2O to join Mg to form Mg(OH)2 and H2 on the right hand side.
The other options are not correct because they don't involve only and element and a compound on each side of the reaction.
How does a decrease in thermal energy affect the temperature of each state of matter?
A car is traveling at an average speed of 120km/h.how long will it take to travel between two station 525km apart?
Answer:
Time taken 4 hrs. 38 minutes
Explanation:
As speed = distance/time interval
So time taken = 4.38
speed=distance/time
we know the speed and we know the distance so we can calculate the time
120km/h=525km/time
time=525km/120km/h=4.375hours or 4 hours and 22 minutes and 30 seconds
help!! i need to know which letter has the highest speed, the middlest speed and the lowest speed!!
Answer:
From highest speed to lowest speed:
A, C, B
Explanation:
On a position time graph, the slope of a line would represent the velocity, since the rate of change represents how many meters traveled in the given time.
The larger the slope, the faster the velocity; the steeper the line, the faster the speed.
Since line B is negative, you know that velocity is negative so it automatically has the lowest speed.
Out of lines A and C, since A is steeper, you know that A has a faster speed.
In conclusion:
A is the fastest
C is the middle
B is the slowest
Write two different unit in which mass is measured.
Answer:
kilograms and grams
Explanation:
kilograms is the stadard unit for mass according to the SI system.
Grams is another unit for mass.
