3. Range of a projectile motion is
maximum at angle of:
О O
А. 180°
В. 75°
С. 45°
D.90
Answer:
a
Explanation:
use energy methods to calculate the speed of the 6.00 kg k g block after it has descended 1.50 m m .
To calculate the speed of the 6.00 kg block, we can use the principle of conservation of energy. Initially, the block has potential energy due to its position and no kinetic energy. As it falls, its potential energy is converted to kinetic energy. At the bottom of its fall, all of the potential energy has been converted to kinetic energy.
The potential energy of the block at the top of its fall is given by:
PEi = mgh
where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the fall. Plugging in the given values, we get:
PEi = (6.00 kg)(9.81 m/s^2)(1.50 m) = 88.29 J
At the bottom of the fall, all of the potential energy has been converted to kinetic energy:
KEf = 1/2mv^2
where v is the velocity of the block at the bottom of the fall. Equating the two expressions for energy, we get:
PEi = KEf
(6.00 kg)(9.81 m/s^2)(1.50 m) = 1/2(6.00 kg)v^2
Solving for v, we get:
v = sqrt[(2(6.00 kg)(9.81 m/s^2)(1.50 m))/6.00 kg] = 7.67 m/s
Therefore, the speed of the 6.00 kg block after it has descended 1.50 m is 7.67 m/s.
Your family took 6 hours to travel to your destination. The average speed for the first time 2 h 15 min was 160 km/h. For the remaining trip, the average speed was 180 km/h. How long did it take your family to travel at an average speed of 180km/h?
Answer:
3 h 45 min
Explanation:
6 - 2 = 4
4 - .15 = 3 45
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Can you Help with 18 19 20 im not sure about anything in this class
The temperature of the boiler is 150.9°C, the thermal energy absorbed each hour is 1.62 x 10^9 joules, and the amount of thermal energy lost per hour is 1.61 x 10^9 joules.
The Carnot cycle is a theoretical thermodynamic cycle that consists of four reversible processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression. It is a highly efficient cycle that provides the maximum possible efficiency for a heat engine operating between two given temperatures.
18. The efficiency of a Carnot engine is given by the equation:
efficiency = 1 - (T_C / T_H)
where T_C is the temperature of the cold reservoir and T_H is the temperature of the hot reservoir. We can rearrange this equation to solve for T_H:
T_H = T_C / (1 - efficiency)
Substituting the given efficiency and waste heat temperature values, we get:
T_H = 36.3°C / (1 - 0.761) = 150.9°C
Therefore, the temperature of the boiler is 150.9°C.
19. The efficiency of a Carnot engine is given by the equation:
efficiency = 1 - (T_C / T_H)
where T_C is the temperature of the cold reservoir and T_H is the temperature of the hot reservoir. We can rearrange this equation to solve for the thermal energy absorbed each hour:
thermal energy absorbed per hour = power output / efficiency
Substituting the given values, we get:
thermal energy absorbed per hour = 115 kW / (1 - (13°C / 569°C)) = 1.62 x 10^9 J/h
Therefore, the thermal energy absorbed each hour is 1.62 x 10^9 joules.
20. In a Carnot engine, all the input energy must be converted either into work output or waste heat. Therefore, the amount of thermal energy lost per hour is equal to the difference between the thermal energy absorbed and the power output:
thermal energy lost per hour = thermal energy absorbed per hour - power output
Substituting the given values, we get:
thermal energy lost per hour = 1.62 x 10^9 J/h - 115 kW x 3600 s/h = 1.61 x 10^9 J/h
So, the amount of thermal energy lost per hour is 1.61 x 10^9 joules.
Hence, The boiler has a temperature of 150.9°C, absorbs 1.62 × 109 joules of thermal energy every hour, and loses 1.61 x 109 joules of thermal energy every hour.
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a physics student skiis down a slope with a constant acceleration of 2.0 m/s^2 for 15 seconds What’s the final speed of the physics student
The final speed of the student will be 30 m/s.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, a physics student skis down a slope with a constant acceleration of 2.0 m/s² for 15 seconds.
So,
a = 2 m/s²
t = 15 Second
u(initial velocity) = 0
Thus, from the equations of motion
v = u + at
v = 0 + 15 *2
v = 30 m/s
Therefore, the final speed of the student will be 30 m/s.
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A charged rod is brought near one end of a long, uncharged metal block. Students want to experimentally measure the resulting charge distribution along the entire length of the block. They have a small, positively charged sphere on a string that can be used as a test charge with negligible effect on the other charges. They will observe whether the sphere is attracted or repelled when held near the rod. Which of the following describes and justifies a procedure that will provide data to determine the entire charge distribution?
a. Hold the sphere near the end of the block closest to the rod, because that will give experimental data about both ends of the block.
b. Hold the sphere near each end of the block, because that will give experimental data about both ends of the block.
с. Hold the sphere near each end of the block and near the block's middle, because that will give experimental data about the area along the length of the block.
d. Hold the sphere near each end of the block and at a number of points along the length of the block, because that will give experimental data for the whole block.
Answer:
d
Explanation:
The sphere is positively charged so that when it comes in contact with the rod, its positive charges will repel to the other end. Hence, Hold the sphere near each end of the block, because that will give experimental data about both ends of the block.
What is polarization?Polarization is the separation of charges into two poles due electrostatic repulsion. Two similar charges will repel and opposite charges attracts each other.
When a charged or polar substance get in contact with a non-polar substance, the nonpolar one will deform in such a way that the electrons from the polar one will repel the electrons of nonpolar and there occurs a temporary charge separation in non polar substance creating an induced polarity.
Here, when the positive sphere comes in contact with the charged rod, the positive charges will align to the opposite pole of the rod away from the sphere and the negative charges will align near the sphere.
Thus there occurs an attractive force at one end and repulsion at the other end. Thus, holding the sphere at each end will data about charge distribution.
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chemical reaction to make a foam?
Answer: Hydrogen Peroxide
Explanation: Hydrogen peroxide breaks down into oxygen and water. As a small amount of hydrogen peroxide generates a large volume of oxygen, the oxygen quickly pushes out of the container. The soapy water traps the oxygen, creating bubbles, and turns into foam.
A 310 000 kg meteor is heading directly towards a space shuttle at 35 m/s. It is pushed for a period of 45 seconds after which its velocity is 27 m/s and it has veered 22° from its original course. a) Find the impulse given to the meteor (magnitude and direction). b) Find the magnitude of the force applied
( a ) The magnitude of the impulse given to the meteor is 2,480,000 kg.m/s at 22⁰ from original position.
( b ) The magnitude of the force applied to the meteor is 55,111.1 N.
What is the magnitude of the impulse?
The magnitude of the impulse given to the meteor is calculated from the change in momentum of the meteor.
Mathematically, the formula for Impulse is given as;
J = ΔP
J = m (vf - vi )
where;
m is the mass of the meteorvf is the final velocity of the meteorvi is the initial velocity of the meteorThe magnitude of the impulse given to the meteor is calculated as follows;
J = ( 310, 000 kg ) ( 27 m/s - 35 m/s )
J = ( 310, 000 kg ) ( -8 m/s )
J = -2,480,000 kg.m/s
| J | = 2,480,000 kg.m/s
The magnitude of the force applied to the meteor is calculated as follows;
F = ma = J / t
where;
J is the impulse experiencedt is the time of motionF = ( 2,480,000 kg.m/s ) / ( 45 s )
F = 55,111.1 N
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Health psychology focuses on
Question One
a. Why is it important to calibrate a measuring instrument regularly?
[1 marks]
b. An instrument with a standard signal of 4 mA - 20 mA is installed to measure the volume of
fluid in a cylindrical tank of height 40 m and a diameter of 6 m.
i.
If the sensor for the measurement of the volume should not have a direct contact with
the fluid, what type of sensor would you recommend to be installed?
[1 marks]
ii. Describe how you will calibrate the sensor to be able to measure the minimum and
maximum volume of fluid in the tank.
iii.
iv.
vi.
Attempt all questions.
vii.
[2 marks]
What is the maximum volume of the tank?
[2 marks]
What is the volume of the fluid in the tank if the output signal of the instrument is 14
[2 marks]
mA?
What will be the value of the output signal of the instrument if the volume of the fluid
in the tank is 65% of the maximum capacity of the tank?
[2 marks]
What will be the volume of the fluid if the sensor produces a signal of 17 mA? Express
it as a percentage.
[2 marks]
Comment on the instrument performance if a signal of 15.7 'mA is produced when the
volume of the fluid in tank is 75% of the maximum tank capacity. [2 marks]
type proximity
[1 marks]
c. Distinguish between a capacitive type proximity sensor and an inductive
switch.
a. It is important to calibrate a measuring instrument regularly for the following reasons:
Accuracy: Over time, measuring instruments can drift from their original calibration due to factors such as environmental conditions, wear, and tear, or component aging.
Compliance: In many industries, calibration is a requirement to comply with quality standards, regulations, and certifications.
Confidence: Calibration instills confidence in the measurement results obtained from the instrument.
b. i. If the sensor for measuring the volume of fluid should not have direct contact with the fluid, a suitable sensor would be a non-contact or remote-level sensor. Examples include ultrasonic sensors, radar sensors, or laser distance sensors. These sensors can measure the distance to the fluid surface without physically touching it.
ii. To calibrate the sensor to measure the minimum and maximum volume of fluid in the tank, the following steps can be taken:
Empty Tank Calibration: With the tank completely empty, the sensor should be calibrated to read the minimum volume of fluid, which is 0 m³, or any other reference point desired.
Full Tank Calibration: The tank should be filled to its maximum capacity. The sensor is then calibrated to read the maximum volume of fluid, which is the volume when the tank is at its full capacity.
iii. The maximum volume of the tank can be calculated using its dimensions. The formula for calculating the volume of a cylinder is:
Volume = π * (radius)² * height
Given the diameter (6 m), we can calculate the radius as 6 m / 2 = 3 m.
Maximum Volume = π * (3 m)² * 40 m
iv. The volume of the fluid in the tank can be determined using the linear relationship between the output signal of the instrument and the volume. Since the signal range is from 4 mA to 20 mA, and this range corresponds to the minimum and maximum volume of the tank, we can create a linear equation or calibration curve relating the output signal to the volume.
v. To calculate the volume of the fluid in the tank when the output signal is 14 mA, we use the calibration curve or linear equation obtained during calibration.
vi. To determine the output signal when the volume of the fluid in the tank is 65% of the maximum capacity, we use the calibration curve or linear equation obtained during calibration.
vii. To determine the volume of the fluid when the sensor produces a signal of 17 mA, we use the calibration curve or linear equation obtained during calibration and express the result as a percentage of the maximum capacity of the tank.
c. Distinguishing between a capacitive type proximity sensor and an inductive switch:
Capacitive Proximity Sensor: A capacitive proximity sensor uses changes in capacitance to detect the presence or absence of an object. It works based on the principle that the capacitance between the sensor and an object changes when the object enters the sensing range.
Inductive Switch: An inductive switch, also known as an inductive proximity sensor, operates on the principle of electromagnetic induction.
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In the attachment there is a density column where there is colour
Question: tell me why is the red at the bottom of the density column if it is the least dense
Answer: The red at the bottom represents the base of the tube, not the red liquid.
Explanation:
The densest materials have more weight per unit of volume.
This means that those elements will always flow to the bottom of the containers, like the one in the image.
The red liquid being the least dense one, can not go to the bottom by its own means.
There could be some cases, like:
The red liquid when solid, is way denser than in its liquid phase, and then the red at the bottom could be solid phase of the red liquid, but there is no mention of this in the question, then we can discard this idea.
Another trivial idea is that the red liquid at the bottom could be trapped by some kind of wall, but again, there is no mention of this, so again we can discard this idea.
The thing that makes sense is that the red at the bottom represents the base of the tube and not the red liquid.
19. Assume this process is 10% efficient, how much work is done by the gas expanding into the atmosphere?
The amount of work done by the gas is proportional to the pressure and the change in volume, as well as the efficiency of the process. If the pressure and volume are known, the work done by the gas can be calculated by multiplying these values by the efficiency of the process.
The amount of work done by a gas when it expands is proportional to the change in volume, pressure, and temperature. According to the first law of thermodynamics, the energy of a closed system is conserved, so the work done by the expanding gas is equal to the energy transferred from the gas to the environment in the form of work. Therefore, the work done by the gas is equal to the change in energy of the system. Assume that the process is 10% efficient. Then, only 10% of the energy available to the system is converted into work. This means that the remaining 90% of the energy is lost to the environment in the form of heat. As a result, the amount of work done by the gas expanding into the atmosphere is given by the formula
W = E x η, where W is the work done by the gas, E is the energy available to the system, and η is the efficiency of the process. The energy available to the system is determined by the difference between the internal energy of the gas before and after the expansion. The internal energy of a gas is determined by its temperature, pressure, and volume.
Assuming that the temperature and pressure are constant, the change in internal energy is proportional to the change in volume. Therefore, the energy available to the system is equal to the product of the pressure and the change in volume: E = P x ΔV, where P is the pressure of the gas and ΔV is the change in volume during the expansion. Substituting this equation into the formula for work, we get W = P x ΔV x η.
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A 1.5 x 10 3kilogram car is moving at 10 meters per second east. A braking force acts on the car for 5.0 seconds, reducing its velocity to 2.0 meters per second east. ??
Answer:
What should we find state that first.
Using the Left Hand Rule, if motion is away from you and the current is left, which way is the field?
A. Down
B. Left
C. Up
D. Right
Explanation:
To apply the Left Hand Rule, point your left thumb in the direction of the current and your left fingers in the direction of the motion. The direction in which your left palm faces is the direction of the magnetic field. In this case, if the motion is away from you (i.e., in the direction of your eyes), and the current is left, then the magnetic field will be directed upwards.A machine has a velocity ratio of 5 and the efficiency is 80% what effort would be needed to lift a load of 200N
Explanation:
To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:
Efficiency = (Output Work / Input Work) * 100
Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.
Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.
Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."
Using the velocity ratio, we have the following relationship:
dE / dL = 5
Now, we can calculate the input work (Wi) and the output work (Wo):
Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)
Output Work (Wo) = Load (L) * Distance moved by the load (dL)
Given that the efficiency is 80%, we can rewrite the formula for efficiency as:
0.80 = (Wo / Wi) * 100
Now, let's solve for the effort (E) using the given values:
Load (L) = 200N
Efficiency = 0.80
Velocity Ratio = 5
First, calculate the output work (Wo):
Wo = Load (L) * Distance moved by the load (dL)
Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):
dL = (1/5) * dE
Wo = L * (1/5) * dE
Wo = 200N * (1/5) * dE
Wo = 40N * dE
Next, calculate the input work (Wi):
Wi = Effort (E) * Distance moved by the effort (dE)
Wi = E * dE
Now, substitute the values into the efficiency formula:
0.80 = (Wo / Wi) * 100
0.80 = (40N * dE) / (E * dE) * 100
0.80 = 40 / E * 100
0.80 * E = 40
E = 40 / 0.80
E = 50N
Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.
Juans mother drives 7.25 miles southwest to her favorite shopping mall. What is the average velocity of her automobile if she arrives at the mark in 20min?
A light wave traveling through medium 1 strikes a boundary with medium 2 at a 45° angle. The light then enters the second medium and refracts toward the boundary. What could the two mediums be?A. Medium 1: glassMedium 2: diamondB. Medium 1: airMedium 2: glassC. Medium 1: waterMedium 2: airD. Medium 1: diamondMedium 2: air
Given:
Angle = 45 degrees
Given that the light wave strikes a boundary with medium 2 at an angle of 45 degrees.
Then the light enters the second medium and refracts toward the boundary.
Let's determine the two mediums.
Given that the the light travels through medium 1 and strikes the boundary with medium 2 at an angle, medium 1 can likely be said to be diamond.
This is likely to be diamond because light rays do not pass through them but are instead reflected back in different angles.
Also, as the light then enters the second medium and it refracts, we can say the second medium is air.
This is because light rays refract in air.
Therefore, the two mediums could possibly be diamond and air.
ANSWER:
D. Medium 1: Diamond
Medium 2: air
imagine a single charge creating an electric field. what is the relationship between electric field strength and the distance from the charge?
a. direct
b. inverse
c. inverse squared
d. indirect
Answer:
b. inverse
Explanation:
\(E = \frac{V}{d} \\ d \: is \: the \: distance \\ \)
An ideal horizontal spring-mass system is set into motion. At an instant when the mass passes through its equilibrium position: The potential energy in the spring is at its _____. The kinetic energy of the mass is at its ______. The magnitude of net force acting on the mass is at its ______.
Answer:
the potential energy is zero, and the kinetic energy must be maximum
F = 0
Explanation:
In this exercise you are asked to complete the sentences of a simple harmonic movement of a mass-spring system.
In this system mechanical energy is conserved
at the most extreme point the carousel potential energy is
K_e = ½ k x²
the kinetic energy is zero for that stopped.
At the equilibrium point
the spring elongation is x = 0 so the potential energy is zero
and the kinetic energy must be maximum since total energy of the system is conserved
the spring force is
F =- k x
as in the equilibrium position x = 0 this implies that the force is also zero
F = 0
In this exercise we have to use the knowledge of force to calculate the energy of a spring, in this way we find that:
The potential energy in the spring is at its \(K_e = 1/2 k x^2\). The kinetic energy of the mass is at its zero . The magnitude of net force acting on the mass is at its Zero.
In this system mechanical energy is conserved, at the most extreme point the carousel potential energy is:
\(K_e = 1/2 k x^2\)
The kinetic energy is zero for that stopped or when at the equilibrium point, so:
the spring elongation is x = 0 so the potential energy is zero the kinetic energy must be maximum since total energy of the system is conserved
the spring force is:
\(F =- k x\\F=0\)
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An 85 L flexible container holds 3.4 moles of gas. How many moles of gas should be removed to decrease the volume of the container to 40 L?
1.8 moles of gas should be removed to decrease the volume of the container to 40 L
What is Avogadro's law?Avogadro's Law states that the volume of a gas is directly proportional to the number of moles (or a number of particles) of gas when the temperature and pressure are held constant.
Given, An 85 L flexible container holds 3.4 moles of gas.
This problem requires Avogadro's law, which states that the amount (moles) of a gas is directly proportional to its volume, such that if the amount increases, the volume increases and vice versa. You correctly determined the formula to use:
V = k×n or. V₁n₁=V₂n₂.
Let "x" be the number of moles in a 40l container
85/40 = x/3.4
Thus,
x = 1.8
Therefore, 1.8 moles of gas should be removed to decrease the volume of the container to 40 L
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if i put my spoon in the microwave what will happen
If you put your spoon in the microwave, nothing will happen to it as long as it has round edges and it is not touching any sides of the microwave.
Putting a spoon in the microwaveSpoons are generally made from stainless steel. Stainless steels are iron and chromium. In some cases, other metals such as nickel are thrown into the mix.
Thus, being made of metals, these stainless steels are good conductors of heat and electricity.
A microwave works by heating foods put into it using electromagnetic radiation in the microwave frequency range. Electromagnetic radiation causes the molecules of food to rotate and produce thermal energy.
If the spoon touches the side of the microwave, sparks may result. Otherwise, it is totally fine because spoons usually have round edges. With rough edges, the waves may be reflected back and forth and create sparks.
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Use the graph to determine the object's average velocity
What is the average velocity of the object?
m/s
Position vs Time
Position (m)
N A 0 0
0
10
20
30
40
50
Time (s)
Answer:
10
Explanation:
10 is answer because velocity is time /position. So time is 50 and position is 5
How are free throws diffrent from ordinary shots
Answer: They are only taken when a player from the other team does something wrong. And they are only worth 1 point
Explanation:
Answer: You don't jump on your free throws, since they are not a jumpshot or layup and since u were fouled, they're only worth 1pt each.
Explanation:
List the two factors that create orbital motion and describe how each factor affects the motion.
Answer:
The forward motion of a body in space, such as a planet or moon, and the pull of gravity on it from another body in space.
Explanation:
Earth and many other bodies—including asteroids, comets, and the other planets—move around the sun in curved paths called orbits. Generally, the orbits are elliptical, or oval, in shape. Because of the sun’s relatively strong gravity, Earth and the other bodies constantly fall toward the sun, but they stay far enough away from the sun because of their forward velocity to fall around the sun instead of into it. As a result, they keep orbiting the sun and never crash to its surface. The motion of Earth and the other bodies around the sun is called orbital motion. Orbital motion occurs whenever an object is moving forward and at the same time is pulled by gravity toward another object.
Which elements are metals? Check all that apply.
rhenium (Re)
boron (B)
lithium (Li)
krypton (Kr)
phosphorus (P)
mercury (Hg)
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The elements that are metals are as follows:
LithiumRheniumWhat are metals?Metals are any of a number of chemical elements in the periodic table that form a metallic bond with other metal atoms.
Metals are known to be generally shiny, somewhat malleable, hard and often a conductor of heat and electricity.
Some of the elements on the periodic table are as follows:
BerylliumMagnesiumCalciumStrontiumBariumRadiumLithiumSodiumPotassiumRubidiumCesiumFranciumRheniumLearn more about metals at: https://brainly.com/question/18153051
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a roller coaster weighs 2000 kg This ride includes an initial vertical drop of 59.3 m.
Assume that the roller coaster has a speed of nearly zero as it crests the top of the hill.
If the track was frictionless, find the speed of the roller coaster at the bottom of
the hill.
The speed of the roller coaster at the bottom of the hill if the track was frictionless is 34.04 m/s.
Given that the weight of the roller coaster is 2000 kg and the initial vertical drop of the ride is 59.3 m. We are to find the speed of the roller coaster at the bottom of the hill if the track was frictionless.We know that the roller coaster will lose potential energy due to the vertical drop. Assuming there is no friction, the potential energy will be converted into kinetic energy at the bottom of the hill.Considering the conservation of energy between the potential and kinetic energy, we can set the initial potential energy equal to the final kinetic energy. We can use the formula to calculate potential energy, which is PE = mgh where m = 2000 kg, g = 9.8 m/s², and h = 59.3 m. Therefore,PE = 2000 kg × 9.8 m/s² × 59.3 m = 1,157,924 JWe can use the formula to calculate kinetic energy, which is KE = 1/2mv² where m = 2000 kg and v is the final velocity. Therefore,KE = 1/2 × 2000 kg × v².The total energy remains constant as we know there is no friction. Therefore the final kinetic energy will be equal to the initial potential energy,1,157,924 J = 1/2 × 2000 kg × v²v² = (2 × 1,157,924 J) / 2000 kgv² = 1157.924v = √1157.924v = 34.04 m/s.
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In the analytical method, we use the Pythagorean theorem to find the magnitude of the resultant because ____.
Answer:
it obeys the law of vector addition
Explanation:
In the analytical method, we use the Pythagorean theorem to find the magnitude of the resultant because it obeys the law of vector addition.
The resultant of two vectors A and B is given by;
R' = A' + B'
\(R = \sqrt{A^2 + B^2}\)
Therefore, Pythagorean theorem is used if the two quantities are vectors and vector quantities obey the law of vector addition.
Color is a result of the absorption and reflection of light. A shirt appears a color because it reflects that color of light. A shirt appears black when it absorbs all wavelengths of light.
Why does a shirt appear white outside on a sunny day?
O The light is transmitted through the shirt, so no color
wavelengths of light.
appears.
O The shirt absorbs the sunlight, so it appears white.
O All the light is reflected, so the shirt appears white.
The sunlight refracts when it hits the shirt, so the shirt
appears white.
Answer:
the light is reflected, because light is white when the spectrum is combined, and white reflects white. that's why wearing a white shirt outside feels cooler than wearing a black shirt, since it doesn't absorb light.
Answer:
All the light is reflected, so the shirt appears white.
Explanation:
A –8.0-µC charge is located 0.45 m to the left of a +6.0-µC charge. What is the magnitude and direction of the electrostatic force on the positive charge?
Answer:
2.133 N to the left
Explanation:
We can represent the situation with the following equation:
Then, the magnitude can be calculated as:
\(\begin{gathered} F=k\frac{q_1q_2}{r^2} \\ \\ \text{ Where k = 9 x 10}^9\text{ N m}^2\text{ /C}^2 \end{gathered}\)Where q1 and q2 are the charges and r is the distance. So, replacing q1 = 8 x 10^(-6) C, q2 = 6.0 x 10^(-6) C, and r = 0.45 m, we get:
\(F=(9\times10^9)\frac{(8\times10^{-6})(6\times10^{-6})}{0.45^2}=2.133\text{ N}\)Therefore, the magnitude of the electrostatic force is 2.133 N and the direction is to the left.
An airplane accelerates at 16 m/s² from rest. If it lifts off from an aircraft carrier after 6.0 s, how far did it go down the runway before lift off?
A. 48m
B. 96m
C. 290m
D. 580m