The resultant vector is 60.2 meter in a direction 48.6° North of west.
What are resultant vectors?Resultant vectors are the product of the addition of two or more vectors.
The resultant vector is obtained by vector addition methods such as:
Triangle vector addition methodParallelogram law of vector additionDirect additionConsidering the vector addition problem given:
Harry travels 40 meters east and then 45 meters south to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry.
The resultant vector of both Harry and Voldemort are the same since the crashed into each other.
Using Harry's movement, the motion forms a right angle triangle of sides 40 m and 45 m
Using Pythagoras' rule:
R = √(40² + 45²)
R = 60.2 meter
α = tan⁻¹(40/45)
α = 41.6
θ = 90 - 41.6
θ = 48.6°
Therefore, the resultant vector is 60.2 meter in a direction 48.6° North of west.
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the distance between a boy and a hill is 250 meters. if the boy shouts after how long will the echo be heard numerical problem
Answer:
1.47 s
Explanation:
From the question,
s = 2d/t................... Equation 1
s = speed of sound in air, d = distance between the boy and the hill, t = time to hear the echo.
make t the subject of the equation
t = 2d/s............... Equation 2
Given: d = 250 meters
Constant: s = 340 m/s
Substitute these values into equation 2
t = (2×250)/340
t = 500/340
t = 1.47 s
What are two uses of total internal reflection? (GCSE Physics)
Answer:
1) Used in optical instruments such as telescopes.
2) Used to form mirages
Explanation:
1) Perhaps the simplest example of this is the astronomical refractor telescope with a right-angle eyepiece holder. Astro scopes mostly point at things high in the sky, but it is inconvenient to place your eye low to look up through the scope, so the light path is bent 90 degrees just before the eyepiece. This can be done with a mirror, but using a simple 45 degree prism (internal angles 45, 45, and 90 degrees) will do the 90 degree bend more efficiently.
2) So when a light pass from cold air to hot air light tends to bend from its path which is known as refraction. As the light get refracted it reaches to a point where the light tends to form 90 degree angle.
Which of these processes is NOT reduced by insulation?
conduction
distillation
convection
radiation
Answer:
I'm thinking Distillation
Explanation:
I'm not sure, but convection and conduction are insulators. It's between radiation and distillation if im not mistaking.
What are the advantages of ring system wiring?
Answer:
The two most common advantages of the ring system are as follows:
- Voltage drop across the circuit is less or negligible when compared with the tree system.
- More appliances can be connected across the circuits as the supply is radially distributed across the space
We have that the advantages of ring system wiring is given as
Voltage drop across the circuit very smallMore load space is available as the supply point is distributed across the circuitRing Wiring
Question Parameters:
Generally, A ring system wiring is wiring method where we see the sockets and distribution outlets to be connected in a ring-like manner.
We have that its advantage are
Voltage drop across the circuit very smallMore load space is available as the supply point is distributed across the circuitFor more information on Electricity visit
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A student drops a rock in a pond and notices that her reflection in the water becomes less clear. Which statement best explains the student’s observation?(1 point)
The surface of the water is not shiny after the rock is dropped in the pond.
The surface of the water is no longer hard after the rock is dropped in the pond.
The water is not able to reflect waves after the rock is dropped in the pond.
The water is not a smooth surface after the rock is dropped in the pond.
Answer:
The best statement that explains the student's observation is: "The water is not a smooth surface after the rock is dropped in the pond." When the rock is dropped in the pond, it creates ripples and waves that disturb the smooth surface of the water. As a result, the reflection becomes less clear because the disturbed surface scatters the light and creates a distorted image. This is a common phenomenon observed when a disturbance is created on the surface of water, like when you throw a stone or object into it.
What is the least dense planet in our solar system?.
Answer:
Jupiter is the largest planet in the solar system, but it's Saturn—the solar system's second largest planet—that takes the prize for least dense. It's less dense than water, which has led many people to postulate that it would float.
what would happen to earth when the star sirius becomes a red giant
Answer:
The world would be fine
Explanation:
(b) After sliding across the horizontal portion of the track, both disks slide partway up the curved section of the track. Identify which disk, if either, reaches a greater maximum height. If both disks reach the same maximum height, state this explicitly.
(c) In a clear, coherent paragraph-length response, justify your answer to part (b).
(d) Consider the case where friction is not negligible and the coefficient of kinetic friction between each disk and the track is the same. The disks are again pushed by the same force over the same distance, and each disk slides partway up the ramp. Identify which disk, if either, would reach a greater maximum height than the other in this case. If both disks reach the same maximum height in this case, state this explicitly. Briefly justify your answer.
Answer:
(b) In this case, both disks reach the same maximum height.
(d) In this case, the disk with larger mass would reach a greater maximum height than the lighter disk because the gravitational force will be greater and this would be greater than the frictional force that opposes the motion. Therefore, the greater mass disk will be able to overcome the frictional force and reach a greater maximum height.
A. PE= Maximum, KE = Minimum
B. PE= Minimum, KE = Maximum
C. PE= Increasing, KE= Decreasing
D. PE=Decreasing, KE = Increasing
Answer:
Explanation:
im confused
Answer:. B
Explanation: how this helps sry if I'm wrong
what happens to the current owing though a olcullas testslalice icreases?
A It increases
R
It decreases
C
It stays the same.
D. It reverses direction.
Salinity measures the amount of salts dissolved in water. Which statement correctly explains what happens whenaquatic animals are moved to an aquatic ecosystem with a different salinity?
The individual effect of salinity reduced organism performance in 43% of the observations, including decreased survival and growth, increased osmolyte content in bodily fluids, altered metabolic rates, etc.
What effects does salinity have on aquatic life?Estuarine water's salinity varies from one estuary to the next and can alter day to day based on the tides, weather, and other variables. Estuaries are transitional regions that connect land and water, as well as habitats for both freshwater and saltwater species.Ocean water density can be impacted by salinity: Water with a higher salinity is denser, heavier, and will sink beneath less salinized, warmer water. Ocean currents may be impacted by this. It may also have an impact on marine life, which may need to control how much saltwater it consumes.It makes a significant contribution to conductivity and influences many aspects of the chemistry of natural waters as well as the biological activities that take place there. Temperature, pressure, and salinity all influence the physical properties of water, including its density and heat capacity.To learn more about aquatic ecosystem with a different salinity refer to:
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Identify the medium an electromagnetic wave travels the fastest in.
empty space or vaccum the Electro magnetic wave travels the fastest.
If someone is driving 100 miles in 60 minutes then drives 150 miles in 100 minutes west, what is his acceleration rate.
Answer:
his acceleration rate is -0.00186 m/s²
Explanation:
Given;
initial position of the car, x₀ = 100 miles = 160, 900 m ( 1 mile = 1609 m)
time of motion, t₀ = 60 minutes = 60 mins x 60 s = 3,600 s
final position of the car, x₁ = 150 miles = 241,350 m
time of motion, t₁ = 100 minutes = 100 mins x 60 s = 6,000 s
The initial velocity is calculated as;
u = 160, 900 m / 3,600 s
u = 44.694 m/s
The final velocity is calculated as;
v = 241,350 m / 6,000 s
v = 40.225 m/s
The acceleration is calculated as;
\(a = \frac{\Delta V}{\Delta t} = \frac{v- u}{t_1 - t_ 0} = \frac{40.225 - 44.694}{6000-3600} = -0.00186 \ m/s^2\\\\\)
Therefore, his acceleration rate is -0.00186 m/s²
What term is defined as a group of elements or parts that interact to form a complex whole?.
The term that is defined as a group of elements or parts that interact to form a complex whole is known as system. A system refers to a group of interacting, interrelated, or interdependent elements forming a complex whole.
A system can be either natural or artificial. Examples of natural systems include the nervous system, ecosystem, solar system, and so on.
The human-made systems include the telecommunication system, transportation system, sewage system, water supply system, and so on.
In the context of science, a system is a collection of components or subsystems that work together to perform some function.
It is a term used in various fields of study such as biology, physics, chemistry, engineering, and social sciences. A system can be described in terms of its inputs, processes, outputs, and feedback.
Summary:A system refers to a group of interacting, interrelated, or interdependent elements forming a complex whole. It can be either natural or artificial. It is a term used in various fields of study such as biology, physics, chemistry, engineering, and social sciences. A system can be described in terms of its inputs, processes, outputs, and feedback.
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The diagram below a free body diagram picturing a cyclist moving along a highway. 4 forces represented by arrows A,B,C, and D are acting on the cyclist as she pedals. The arrow that would best represent the normal force is:
A hydrogen atom is in the third excited state. To what state should it jump to (a) emit light with the longest possible wavelength, (b) emit light with the shortest possible wavelength, and (c) absorb light with the longest possible wavelength?1. (a) n = 3 (b) n = 1 (c) n = 52. (a) n = 3 (b) n = 1 (c) n = [infinity]3. (a) n = 2 (b) n = 1 (c) n = 34. (a) n = 1 (b) n = 2 (c) n = [infinity]5. (a) n = 1 (b) n = 3 (c) n = 5
The hydrogen atom is currently in the third excited state, which means its electron is in the energy level n = 4.
To emit light with the longest possible wavelength, the electron must jump down to a lower energy level. The longest possible wavelength corresponds to the smallest energy difference between the initial and final states. Therefore, the electron should jump to the n = 3 state, emitting light with a wavelength in the red part of the spectrum.
To emit light with the shortest possible wavelength, the electron should jump to the n = 1 state, which corresponds to the largest energy difference. This would emit light with the shortest possible wavelength in the ultraviolet part of the spectrum.
To absorb light with the longest possible wavelength, the electron should jump to the n = 5 state, which corresponds to the largest energy difference between the initial and final states. This would absorb light with a wavelength in the ultraviolet part of the spectrum.
Therefore, the answers are:
(a) n = 3
(b) n = 1
(c) n = 5
For a hydrogen atom in the third excited state, the following transitions occur for each scenario:
(a) To emit light with the longest possible wavelength, the hydrogen atom should jump from n = 4 to n = 3. The wavelength is longer when the energy difference between levels is smaller, which happens when the jump is to the nearest lower energy level.
(b) To emit light with the shortest possible wavelength, the hydrogen atom should jump from n = 4 to n = 1. The wavelength is shorter when the energy difference between levels is larger, which happens when the jump is to the lowest energy level.
(c) To absorb light with the longest possible wavelength, the hydrogen atom should jump from n = 4 to n = 5. The wavelength is longer when the energy difference between levels is smaller, which happens when the jump is to the nearest higher energy level.
Your answer: 5. (a) n = 1 (b) n = 3 (c) n = 5
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Differences between Pascal's Law & Law of flotation
Answer:
Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.
A 50,000kg comet is at rest in space. A nuclear explosion spilts the comet into two pieces. If the 35,000kg piece moves away +5m/s, what is the velocity of the second piece?
Answer:
-11.67 m/s.
Explanation:
The velocity of the second piece can be determined by the law of conservation of momentum, which states that the total momentum of a closed system remains constant.
Let's call the velocity of the second piece "v".
Before the explosion, the total momentum of the comet is 0 (since it is at rest). After the explosion, the total momentum of the two pieces is
(35,000 kg)(5 m/s) + (15,000 kg)(v).
Using the law of conservation of momentum, we can set these two momenta equal to each other and solve for v:
0 = (35,000 kg)(5 m/s) + (15,000 kg)(v)
0 = 175,000 kg m/s + 15,000 kg v
-175,000 kg m/s = 15,000 kg v
v = -11.67 m/s
So the velocity of the second piece is -11.67 m/s.
Please someone help me. I don't know how to do this and it's due tonight.
Answer:
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Calculate the equilibrium pressures of no if nitrogen gas has an initial pressure of 21.76 atm and oxygen gas is initially 9.32 atm
Equilibrium pressure of NO is 3.82 atm
What is the equilibrium pressure of NO?The equilibrium pressure of NO is calculated from the equation of the reaction given below as follows:
N₂ + O₂ ⇄ 2 NO
Initial pressure of N₂ = 21.76 atm
Equilibrium pressure of N₂ = 21. 76 - x atm
Initial pressure of O₂ = 9.32 atm
Equilibrium pressure of O₂ = 9.32 - x atm
Initial pressure of NO = 0 atm
Equilibrium pressure of NO = 2x atm
Equilibrium constant = 0.050
0.050 = 2x²/(9.32 - x)(21. 76 - x)
2x² = 0.05(202.8 - 31.08x + x²)
2x² = 10.14 - 1.554x + 0.05x²
1.95x² + 1.554x - 10.14
x = 1.91 atm
2x = 3.82 atm
Therefore, equilibrium pressure of NO is 3.82 atm.
In conclusion, the equilibrium pressure is calculated from the equilibrium constant.
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please help me!
each form of a characteristic is called what?
Calculate the time it takes for the tennis ball to reach the top of its path.
The time for the tennis ball to reach its maximum height is 1.32 seconds.
If an item is projected upwards in an exact vertical direction, the velocity at which it is projected matches the velocity after it returns to the same height in magnitude but in the opposite sign.
First, we have to calculate the maximum height reached by the tennis ball.
The formula to calculate maximum height is:
hmax = h + V² * sin(α)² / (2 * g),
where
hmax is the maximum height
v is velocity
α is the angle of launch
g is the acceleration due to gravity
h is the initial height of the object
In the given question,
v= 13m/s
g= -9.8ms-2
h= 0
α = 90°
Thus,
hmax = 13*13 *sin(90)^2/ 2*(-9.8)
hmax= 8.62 m
Now to calculate the time taken to reach the maximum height by the tennis ball, we know that
s = ut + 1/2 at^2
s here is hmax
u=0
t we have to find
Thus,
8.62= 0 * 1/2(-9.8) *t2
t= 1.32 s
Hence, the time taken by the tennis ball to reach its maximum height is 1.32seconds.
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A cup of sugar has a volume of 237ml . What is the mass of the cop of sugar if the density of sugar is 1.59g/ml?
Answer:
v=237ml m=? density(rho) = 1.59 g/ml
density = mass/volum
mass= (density)(volume)
m=(1.59)(237)
m=376.83g
If you toast a piece of bread then spread butter onto the warm piece of toast, what would be the physical change occurring? What would be the chemical change occurring?
soapy water between surfaces
A. increases friction.
B. produces heat
C. reduces friction.
D. speeds up wearing out
Answer:
C. reduces friction
Explanation:
Soapy water between surfaces reduces friction.
A car can travel 30.0 mi on one gallon of gas. How many km/L is this?
Answer
30 mi/gal * (1.61 km / mi ) / (3.78 L/gal) = 30 * .426 km/L = 12.8 km/L
You are unable to lift an object. Which property makes the object difficult to lift?.
You are unable to lift an object.
The Weight makes the object difficult to lift.
How can we state the above statement?To calculate weight, we know from the formula that,
W=mg
Here in the formula,
w= the weight of the object.
m= mass of the object.
g= the acceleration due to gravity.
Also this is defined as force which acting on a object due to gravity. This kind of force usually it acts downwards.
This type of force has to overcome for it to be lifted up by individuals which is why Weight makes the object difficult to lift.
Now from the above discussion we can easily state that, The Weight is the property that makes the object difficult to lift.
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For a parallel-plate capacitor the energy density is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?.
No. this is not true for a spherical capacitor.
A spherical capacitor can be thought of as what is shown in the attached figure.That phenomenon for the parallel plate capacitor occurs because of the sudden change in the electric field intensity. Between the plates, the electric field intensity is constant and uniform and that uniformity changes at the edges.Such a uniform field intensity is not found in a spherical capacitor.The field at a given distance from the sphere is a function of that distance so it changes from place to place.So the energy density is not uniform in a region between 2 spherical surfaces.Therefore, what is true for spherical capacitors is that the energy density is like that at the edges of a parallel plate capacitor.#SPJ4
Heat waves are defined by the difference in temperature compared to the normal _________ typical of a region.
Heat waves are defined by the difference in temperature compared to the normal temperature typical of a region.
Describe a heat wave:A heatwave happens when a location has extremely high maximum and minimum temperatures over the course of three days. This is taken into account in light of the area's climate and previous weather patterns.
What transpires throughout heat waves?An protracted period of unusually warm weather that frequently lasts longer than two days is known as a heat wave. Heat waves can occur both with and without a lot of humidity. They can spread out across a large region, placing many people in danger of extreme heat.
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which formula gives the value of velocity ratio of wheel and axle?
Answer:
measurement of force amplification