From Snell's law, the angle of refraction is 38 degree approximately and the index of refraction is 1.13
The given refractive index is 1.61
If light approaches the gem at an angle of 80.0°, that means the angle of incidence is 80.0°
To calculate the angle of refraction, we will use Snell's law which state that:
n = sin i / sin r
where n = refractive index
Substitute all the parameters into the formula
1.61 = sin 80 / sin r
make sin r the subject of formula
sin r = sin 80 / 1.61
sin r = 0.611
r = [tex]Sin^{-1}[/tex](0.611)
r = 37.7
r = 38 degree (Approximately)
We will use the same formula to calculate the index of refraction of a material if the angle of incidence is 60° and the angle of refraction is 50°. That is,
n = sin i / sin R
Where n = index of refraction
i = Incidence
R = refraction
Substitute all the parameters to the formula
n = sin 60 / sin 50
n = 0.866 / 0.766
n = 1.13
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A sports car accelerates from 0 to 60mph ,27 m/s ,in 6.3 secounds .The car exerts a force of 4106N . What is the mass of the car
The car accelerates 60 mph in 6.3 seconds. Thus, the acceleration is [tex]\frac{60}{6.3}[/tex]. [tex]f=ma[/tex], so [tex]4106 = m(\frac{60}{6.3})[/tex], so [tex]m=431.13[/tex].
How many boxes of potatoes does the Mayflower need if each person gets 3 potatoes a day?
How many burlap bags of cabbage need to be stored if each person will receive 4 cups of cooked shredded cabbage per day?
Using the appropriate arithmetic operation, the amount of potatoes and cabbage require for the voyage are 19998 and 26664 respectively.
Number of men = 47Number of women = 32Number of children = 22 Number of voyage daysTotal number of passengers = (47 + 32 + 22) = 101
1.)
If each person gets 3 potatoes per day :
Number of potatoes needed per day = (3×101) = 303
Number of potatoes needed for entire voyage = (303 × 66) = 19998 potatoes.
2.)
If each person gets 4 cabbage per day :
Number of cabbage needed per day = (4×101) = 404
Number of cabbage needed for entire voyage = (404 × 66) = 26664 cabbages.
Hence, the number of cabbage needed for the voyage would be 26664 cabbages.
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An object of mass 10 kg is moving along positive x- axis with velocity 5 m/s. At some point it breaks into two parts of 6 kg and 4 kg. 6 kg moves making 600 with x –axis and 4 kg moves making -300 with axis. What is velocity of their centre of mass after breaking?
Explanation:
Correct option is
B
−3m/s
2
Given,
m=10kg
u=10m/s
v=−2m/s
t=4sec
The acceleration is rate of change of velocity,
a=
t
v−u
a=
4
−2−10
a=
4
−12
=−3m/s
2
The correct option is B.
Why are saturn's rings so noticeable?.
Answer:
Why are Saturn's rings so noticeable? They are made of lots of fresh, bright icy particles from a recent breakup.
Explanation:
In the pie chart below, which of the following represents the amount of Earth's surface covered by water?
A only
B only
B and C
D only
Answer:
A
Explanation:
What generates the energy produced when small light atoms are combined into heavier ones
A. Fusion reactions
B. Chemical reactions
C. Fission reactions
D. Nuclear chain reactions
Answer:
A. Fusion Reactions
Explanation:
Definition of Speed?
speed- the rate something moves or operates
Can I have brainlist please
The Speed are distance covered by the object in unit time.The S.I unot of speed is metre per second written as m/sec.It is a scalar quantity.
Speed=Distance/TimeAverage speed=Total distance covered/Total time takenThe speed is measured in metres per second ( ms- ¹ )
Where denoted by s
The distance travelled is measured in metres (m) and denoted by d
t is the amount of time spent and measured in seconds s
Explanation:There are Two Types of Speed are :Uniform Speed: When the distance travelled by a body is equal in equal interval of time then the speed is uniform. Non-uniform Speed: When the distance travelled by a body is unequal in an equal interval of time then the speed is known as non- uniform speed.There are four different forms of speed are : If an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed.When an object travels a different distance at equal intervals of time, it is said to be moving at variable speed.The Average speed is the average speed determined by the ratio of the total distance travelled by an object to the entire amount of time it took to travel that distance.The speed of an object at any given moment when it is travelling at a variable speed is referred to as the object's instantaneous speed.Know more:The Discover of the Speed is Galileo Who was the Discover the speed as the distance covered per unit of time.Speed is measured as the ratio of distance to the time in which the distance was coveredThe dimensional formula of speed is:M ⁰ L ¹ T -¹ The measurement of speed in vehicles, speedometers are used. To measure the distance covered odometers are used. The Speed can also be calculated with the help of a graph. The Distance-time graph helps in understanding the speed of an object.An instrument to measure immediate speed is a speedometer.186,282 miles per second is another way to write the speed of light.In dry air, the speed of sound is 343.2 meters per second.A 0.14-MIN baseball is dropped from rest. It has a momentum of 0.90 kg⋅m/skg⋅m/s just before it lands on the ground.
For what amount of time was the ball in the air?
The time spent in the air by the ball at the given momentum is 6.43 s.
The given parameters;
momentum of the ball, P = 0.9 kgm/sweight of the ball, W = 0.14 NThe impulse experienced by the ball is calculated as follows;
[tex]Ft = \Delta P[/tex]
where;
[tex]Ft[/tex] is impulse
[tex]\Delta P[/tex] is change in momentum
The time of motion of the ball is calculated as follows;
[tex]t = \frac{\Delta P}{F} \\\\t = \frac{0.9 - 0}{0.14} \\\\t = 6.43 \ s[/tex]
Thus, the time spent in the air by the ball at the given momentum is 6.43 s.
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People who drink coffee are more likely to develop cancer
Answer:
The answer is False
PLEASE ANSWER THIS RIGHT ASAP
What is the correct definition of energy?
A: chemical changes
B: force × distance
C: both kinetic and potential energy
D: the ability to do work or cause change
Answer:
D: The ability to do work or cause change.
Explanation:
Energy can be defined as the ability to do work. We apply energy in basically everything we do in life, energy is needed to walk or move from one position to another, it is required to eat and do other basic things of life. The body system converts the food that is being consumed into energy, this energy can be switched from one form to another.
There are various forms of energy which include solar energy, wind energy, electrical energy, mechanical energy, kinetic energy, potential energy, etc. This form of energy can be converted from one form to another but cannot be destroyed.
Hope this helps :)
I NEED THIS BY TODAY DDD:
Answer:
I can't see the picture, can you right down the same thing that is the picture in the comments so I can help you.
Explanation:
Thx.
Which wave has the longest wavelength?
Answer:
A Wave red
Explanation:
Answer:
Answer: Wave E
Explanation:
Why because if you put each in a strait line it would have been longer
hope it helps
At what tension, in newtons, must the D-string must be stretched in order for it to be properly tuned
The fundamental frequency, wavelength of the wave, and mass per unit
length of the string, determines the tension in the string.
The tension to which the D-string must be tuned is approximately 19.718 NewtonsReasons:
From a similar question, we have;
Fundamental frequency, f₁ = 146.8 Hz
Oscillating length on the D-string, λ₁ = 0.61 m
Mass of the string = 1.5 × 10⁻³ kg.
We have;
[tex]\displaystyle f_1 \cdot \lambda _1 =\mathbf{ \sqrt{\frac{T}{m/L} }}[/tex]
Therefore;
[tex]\displaystyle T = \mathbf{\frac{f_1^2 \cdot \lambda _1^2 \cdot m }{L}}[/tex]
Which gives;
[tex]\displaystyle T = \frac{146.8^2 \times 0.61^2 \times 1.5 \times 10^{-3} }{0.61 } \approx \mathbf{19.718}[/tex]
The tension to which the D-string must be tuned, T ≈ 19.718 Newtons
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The parameters given in a similar question obtained online are;
The fundamental frequency of the tone, f₁ = 146.8 Hz
The oscillating length on the D-string, λ₁ = 0.61 m
The mass of the string = 1.5 × 10⁻³ kg.
does the force change if the density change in a object
Answer:
No
Explanation:
It doesn't depend on the density
Answer:No. If you take all your masses and and squeeze them into a tiny volume,
2. physical quantities which do not depend on any physical quantities for their measurements are known as
Answer:
Fundamental quantities
A car traveling at 35.6m/s crashes into a concert barrier and comes to a stop in 0.35 seconds. Calculate the average force applied to the 75kg driver.A 3.2kg steel ball traveling at 4.1m/s strikes a second ball of a mass 2.3kg Initially at rest. Calculate the velocity of the second ball when the first one continues traveling in the same direction with a speed of 1.5m/s2 balls of putty are shot towards one another. Ball 1 has a mass of 4.3kg and is moving at 18.6m/s . Ball 2 has a mass of 5.8kg and is moving at 9.5m/s. They collide and stick together. Calculate their final combine velocity.I really appreciate those attempting the problems. I do know the answers but I’m unaware of the steps to get there. Please include all formulas in your response and steps so I can learn and understand.Check your answer:7629N3.6m/s2.46m/sThank you all!
The force on the driver is 7629 N. The velocity of the second ball is 3.6 m/s. The combined velocity of the balls is 13.37 m/s.
We have to find the acceleration using;
v = u - at
v = final velocity = 0 m/s
u = initial velocity = 35.6m/s
a = acceleration = ?
t = time = 0.35 s
u = at
a = u/t = 35.6m/s / 0.35 s
a = 101.7 ms-2
The force on the driver = 75kg × 101.7 ms-2 = 7629 N
Using the principle of conservation of momentum;
Momentum before collision = momentum after collision
m1u1 +m2u2 = m1v1 + m2v2
Hence
(3.2 × 4.1) + 0 = (3.2 × 1.5) + 2.3v2
13.12 = 4.8 + 2.3v2
13.12 - 4.8 = 2.3v2
v2 = 13.12 - 4.8/2.3
v2 = 3.6 m/s
Using the principle of conservation of linear momentum;
m1u1 + m2u2 = m1v1 + m2v2
(4.3 × 18.6) + (5.8 × 9.5) = (4.3 + 5.8) v
v = 79.98 + 55.1/10.1
v = 13.37 m/s
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I couldn't answer this question may someone please help me
Distance (s) =20 m
Initial velocity =0 m/s
g=10 m/s²
By using the formula:
v²= u²+ 2as
v²=0²+ 2×10×15
v²= 300
V= 10root over 3
[tex]10 \sqrt{3} [/tex]
For calculating time,
v= u+ at
10 root over 3 = 0+ 10t
10 root over= 10t
t = 1 root over 3
t = 1.73 s
[tex]1 \sqrt{3} [/tex]
The the stone will hit the ground with a velocity of 10 root over 3 m/s in 1 root over 3 sec.
PLEASE HELP!!!!!
How does the law of conservation of energy apply to an object rolling down different surfaces?
Answer:
it states that energy can either be gained or lost but it only changes its form.
Explanation:
for example:as a ball is still on the table it posses a potential energy of 100j and a k.e of 0j,as it falls it gains k.e so the midpoint the p.e is equal to the k.e (50j equally) as it approches the ground it completely gains k.e (100j) and the p.e is 0j.
total energy is 100j so it has been converted from p.e to k.e.
hope u have understood.
Muốn biểu diễn vectơ lực chúng ta cần phải biết các yếu tố gì
Một đại lượng vectơ là một lực. Đại lượng vectơ là đại lượng có cả độ lớn và hướng, như chúng ta đã dạy trong phần trước. Bạn phải xác định cả độ lớn (kích thước hoặc số) và hướng của lực tác dụng lên một vật thể để mô tả hoàn toàn nó.
Surface ocean currents are generated MOSTLY by A) wind. B) tides. C) water density. D) the Coriolis effect.
Answer:
I think it's D) the Coriolis Effect
Explanation:
Answer: THE ANSWER IS D) the Coriolis effect.
Explanation: I GOT A 100 ON THE TEST
How does water temperature affect density?
A feather drops in a vacuum. What is the feather's final velocity if it falls for 3.48s?
A. -34.1 m/s
B. 59.3 m/s
C. -59.3 m/s
D. 34.1 m/s
Answer:
34.104
Explanation:
the time * acceleration = final velocity.
so 3.48s * 9.8m/s (gravity) = 34.1 m/s
What is the acceleration of an elevator that weighs 5200 kg with a force of 35 N ?
Answer:
0.007 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass
From the question we have
[tex]a = \frac{35}{5200} = 0.006730 \\ [/tex]
We have the final answer as
0.007 m/s²Hope this helps you
a race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds , how far does it move during this time
find distance and acceleration
PLEASEEEE HELP I HAVE A PHYSICS EXAM TOMORROW AND IM STRUGGLING
Answer:
add 44m/s and 22m/s then multiply it by 11
Explanation:
A race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds, Acceleration is -2 m/s² (deceleration), and distance is 242 meters.
To solve this problem, it is given:
Initial velocity ([tex]\(v_i\)[/tex] ) = 44 m/s
Final velocity ([tex]\(v_f[/tex] ) = 22 m/s
Time ([tex]\(t\)[/tex] ) = 11 s
We have two tasks: finding the acceleration (a) and then using it to calculate the distance (d).
1. Calculate Acceleration (a):
[tex]\[a = \frac{v_f - v_i}{t} \\\\= \frac{22 \, \text{m/s} - 44 \, \text{m/s}}{11 \, \text{s}} \\\\= -2 \, \text{m/s}^2\][/tex]
The negative sign indicates deceleration (slowing down).
2. Calculate Distance (d):
Using the kinematic equation:
[tex]\[d = v_i \cdot t + \frac{1}{2} \cdot a \cdot t^2\][/tex]
Plugging in the values:
[tex]\[d = (44 \, \text{m/s}) \cdot (11 \, \text{s}) + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (11 \, \text{s})^2\][/tex]
Calculating the first part:
[tex]\[d = 484 \, \text{m} - 121 \, \text{m} \\\\= 363 \, \text{m}\][/tex]
Calculating the second part:
[tex]\[d = 363 \, \text{m} + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (121 \, \text{s}^2) \\\\= 363 \, \text{m} - 121 \, \text{m} \\\\= 242 \, \text{m}\][/tex]
The total distance the race car moves during this time is 242 meters.
Thus, acceleration is -2 m/s² (deceleration), and distance is 242 meters.
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In fish BB-blue, BW-blue with white stripes, WW-white. Cross a white fish with a fish with blue and white stripes. What is the probability of having white fish offspring?
Answer: Juvenile fish go through various stages between birth and adulthood. When they have developed to the point where they are capable of feeding themselves, the fish are called fry. When, in addition, they have developed scales and working fins, the transition to a juvenile fish is complete and it is called a fingerling.
8) If a dog is running at 25 feet per second, how far will he travel after I minute of running? Efe runs for 30 minutes at a speed of 40 miles per hour, how far will run? 10) Turbo the Snail moves across the ground at a pace of 12 feet per day If the garden is 48 feet away, how many days will it take for the snail to get there?
Find the average speed of the car if it's speed is 50km/hour and distance is 10 km.
Answer:
50km/hour
Explanation:
the average speed and the speed are the same
A chemist is studying an unknown substance and could break the substance into its elemental components only by using chemical means. Based on this observation, how should the unknown substance be classified?
A. impure substance
B. solution
C. mixture
D. pure substance
The answer is D
I took the quiz lol
3.
If the specific heat of iron = 0.46 J/g Cº, how much heat is needed to warm 50 g of
iron from 20° C to 100° C?
Answer:
1.84 kJ (kilojoules)
Explanation:
A specific heat of 0.46 J/g Cº means that it takes 0.46 Joules of energy to raise the temperature of 1 gram of iron by 1 Cº.
If we want to heat 50 g of iron from 20° C to 100° C, we can make the following calculation:
Heat = (specific heat)*(mass)*(temp change)
Heat = (0.46 J/g Cº)*(50g)*(100° C - 20° C)
[Note how the units cancel to yield just Joules]
Heat = 1840 Joules, or 1.84 kJ
[Note that the number is positive: Energy is added to the system. If we used cold iron to cool 50g of 100° C water, the temperature change would be (Final - Initial) or (20° C - 100° C). The number is -1.84 kJ: the negative means heat was removed from the system (the iron).
please answer right please
Answer:
i think its A
Explanation:
I hope this helps :)
