The graph shows the maximum amount of water vapor that air can hold at different temperatures.
Line graph of maximum humidity on a coordinate plane. X-axis labeled Temperature (degrees Celsius). Y-axis labeled Water Vapor Density grams per cubic meter. Line starts at (0, 2) and gradually rises through (30, 30), 35, 40), (40, 50), (45, 62).
Beth’s hygrometer is reading a temperature of 30°C and a relative humidity of 65%. The humidity in the air is
grams/cubic meter.
Answers
Beth’s hygrometer is reading a temperature of 30°C and a relative humidity of 65%. The humidity in the air is 19.5 grams/cubic meter.
What is the humidity?The actual vapor density or humidity can be determined from the relative humidity value and the saturation vapor density.
The formula that relates the actual vapor density or humidity, the relative humidity, and the saturation vapor density is given below:
relative humidity = (actual vapor density / saturation vapor density) x 100%Hence, the actual vapor density can be calculated as follows:
Actual vapor density or humidity = relative density * saturation vapor density / 100
From the graph;
saturation vapor density at 30°C = 30 g/cm³
relative humidity = 65%
Humidity = 65 * 30 / 100
Humidity = 19.5 g/cm³
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Related Questions
Use the image to answer questions 41 through 43. Anita plays with some magnets. She learns that small round magnets have the north pole on one side and the south pole on the other. Anita hangs a small round magnet from a string. Then she attaches a paper bird to the south pole side of the magnet. The north pole side of the magnet is uncovered on the back of the bird. 41 Which of these actions would make Anita's bird move away from the object that moves toward it? A. moving the south pole end of a bar magnet toward the "bird side" of the round magnet B. touching the "bird side" of the round magnet with a metal clip C. touching the "bird side" of the round magnet with a plastic pen D. moving the north pole end of a bar magnet toward the "bird side" of the round magnet
Answers
D. moving the north pole end of a bar magnet toward the "bird side" of the round magnet.
How do magnets work?Magnets work due to the movement of electrons, which creates a magnetic field. In a magnet, electrons are lined up in such a way that their magnetic fields are all pointing in the same direction, creating a net magnetic field. When a magnet is near a piece of ferromagnetic material, such as iron, the electrons in the ferromagnetic material start to line up with the electrons in the magnet, resulting in an attractive force. This is how magnets stick to each other and to other ferromagnetic objects.
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b) Do all metals have the same melting point?
IV:
DV:
CV:
Answers
Answer: the melting point of iron alloys and the melting point of steel, occur at higher temperatures, around 2,200-2,500 Fahrenheit (°F) / 1,205-1,370 Celsius (°C). Melting points of copper alloys (including bronzes, pure copper, and brass) are lower than iron, at ranges around 1,675-1,981°F / 913-1,082°C.
Suppose 2.00 V is applied to a parallel plate capacitor having plates of area 5.00 m2 that are separated by 0.121 mm of Teflon. Determine the charge stored in the capacitor. (Teflon κ=2.1)
Answers
The charge stored in the capacitor is 9.94 x 10^-10 C.
What is the charge stored in the capacitor?The capacitance C of a parallel plate capacitor is given by the formula:
C = ε₀ε₁A / d
where ε₀ is the permittivity of free space (8.85 x 10^-12 C^2/Nm^2), ε₁ is the permittivity of the dielectric material (Teflon, with a value of 2.1 x 8.85 x 10^-12 C^2/Nm^2), A is the area of the plates (5.00 m^2), and d is the distance between the plates (0.121 mm = 0.121 x 10^-3 m).
Plugging in the values, we get:
[tex]C = ε₀ε₁A / d = (8.85 x 10^-12 C^2/Nm^2) (2.1) (5.00 m^2) / (0.121 x 10^-3 m) = 4.97 x 10^-10 F[/tex]
The charge stored in the capacitor is given by the formula:
Q = CV
where V is the voltage applied across the capacitor (2.00 V). Plugging in the values, we get:
[tex]Q = CV = (4.97 x 10^-10 F) (2.00 V) = 9.94 x 10^-10 C.[/tex]
So the charge stored in the capacitor is 9.94 x 10^-10 C.
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what role does observation play in weather forecasting
Answers
Observation is an integral part in scientific investigation. In weather forecasts, keen observation is very essential in weather forecast to scientifically report the climate changes.
What is weather forecasting ?Weather forecasters provide up to date information regarding the changes in weather in different regions and the factors affecting it. The primary atmospheric measurements that aid weather forecasters in making their predictions are observation on temperature, humidity, precipitation, air pressure, wind speed, and wind direction.
Since the first weather observations were kept on record, these same criteria have been utilized. However, there have been substantial changes in the types and quality of weather devices as well as the approaches to evaluating observations.
Thermometers, rain gauges, barometers, and anemometers are common tools for observing the weather. Wind profilers, weather balloons Doppler radar, and satellites are a few examples of more advanced equipment.
Human observations continue to give crucial information on sky conditions, clouds, and the kind, size, and amount of precipitation even with the highly sophisticated instruments currently accessible.
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The speed of light in a vacuum is 300,000,000 m/s. How long does it take light to travel 1.5 x 108 km (which happens to be the distance from the sun to Earth)?
Answers
The speed of light is 3 × 10⁸ m/s. Light will take a time of 500 seconds to travel a distance of 1.5 × 10¹¹ m.
What is speed of light ?Speed is a physical quantity used to measure the distance travelled by an object per unit time. It is usually expressed in the unit m/s. Light is the fastest thing in the universe to be known.
The speed of light is the product of its frequency and wavelength. In general the ratio of the distance covered per time taken.
Speed of light = 3 × 10⁸ m/s
distance from earth to sun = 1.5 × 10⁸km = 1.5 × 10¹¹ m
Now, the time taken by light to travel this distance is :
time = distance/speed.
t = 1.5 × 10¹¹ m / 3 × 10⁸ m/s = 500 seconds.
Therefore, the time taken by light from sun to reach earth surface is approximately 500 s.
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A girl is swinging on a swing. At the lowest point of her swing, she has 900 J of kinetic energy and 300 J of potential energy. A moment later, she has 552 J of kinetic energy. What is her potential energy at this point, in J?
Answers
The potential energy at that point is 648 J.
What is her potential energy?We have to note that by the use of the law of the conservation of the mechanical energy that energy can not be created or destroyed but that the energy can be converted from one form to the other.
We now know that the total energy of the system is; 900 J + 300 J = 1200 J
It then follows from the law of the conservation of the mechanical energy that this total energy must be constant.
Potential energy at that point = 1200 J - 552 J
= 648 J
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A car has an acceleration of 4m/s squared. What will the increase in its velocity be after 2 seconds? If it started with a velocity of 30m/s, what is its final velocity?
Answers
A car has an acceleration of 4m/s squared. If it started with a velocity of 30m/s, 38m/s is its final velocity.
What is acceleration?Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates.
Even though the speed is constant, motion on a circle accelerates so because direction is always shifting. Both tangential to the acceleration for all other motions.
v = u + at
V= final velocity=?
U= initial velocity= 30m/s
a= acceleration = 4m/s²
substituting all the given values in the above equation, we get
v = 30+ 4× 2
V= 38m/s
Therefore, 38m/s is its final velocity.
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What is the current reading on the ammeter A?
Answers
The current reading on the ammeter A is 0.30 A.
What is electric current?A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.
Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles.
Current is scalar quantity and it follows the algebraic summation during addition.
The current reading on the ammeter A is = (0.20 A + 0.10 A) = 0.30 A.
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why is the persistence method of forecasting limited?
Answers
The persistence method is the simplest forecasting method. But it has its own limitations.
When weather patterns change slowly and features on weather maps move slowly, the persistence approach works effectively. It also works effectively in regions where the weather varies little from day to day throughout the summer. However, if the weather changes drastically from day to day, the persistence approach frequently fails and is not the ideal forecasting strategy to utilize.
It may appear that the persistence forecast is only useful for shorter-term forecasts like for day or two. However one of the most significant tasks of the persistence forecast is anticipating long-term weather conditions or producing climate forecasts. Making long-term projections for monthly and seasonal weather conditions requires considerable ability. For predictions longer than ten days, certain alternative forecasting approaches, such as numerical weather prediction, lose all of their accuracy. Persistence is therefore a "hard to beat" strategy for forecasting over extended time periods.
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If subsliminal perception influences behaviors and attitudes, how might it be used to alter consumer behavior? How they be used in politics? Explain. Write a minimum 300 words about it.
Answers
Subliminal (subconscious) vision is a deliberate process created by communication engineers, whereby you will receive and respond to information and instructions without realizing it. The messages that are in the printed words, pictures or even the sounds that are presented or introduced are either very fast or very subtle passing through your awareness and alertness.
Actually, information, or stimuli that can be consciously felt by humans can be evaluated, criticized, discussed, refuted and possibly rejected by viewers. Something that is subliminally programmed in the subconscious (unconscious) will not encounter such an obstacle. TV viewers may protest, or an image in cyberspace will be rejected. This subliminal information is predictably stored in your brain and is capable of influencing human judgment, and behavior.
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The fastest that a human has run is about 12m/s
(a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go?
(b) Compare this height with the world record in the pole vault.
Answers
Answer:
Explanation:
The mass of the human = x
a) EK=1/2x144= 72x
EK=EP
72x=mgh
72x=x * 10 * h
h=7.2m
b) the world record in the pole vault = 6.2m
6.2<7.2
what specific heat capacity of a silver metal if 55.0 g of absorbs 197.9 joules of heat and the temp rises 15 degrees Celsius?
Answers
The specific heat capacity of silver is {c} = 0.24 J/(kg °C).
What is specific heat capacity?The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases by 1 °C. Its units are J/(kg °C).
Given is that 55g of silver absorbs 197.9 joules of heat and the temperature rises by 15 °C.
Mathematically, we can write the specific heat capacity as -
Q = mcΔT
where -
{Q} → heat energy
{m} → mass
{c} → specific heat capacity
{ΔT} → change in temperature
We can write -
Q = mcΔT
197.9 = 55 x (15 - 0) x c
197.9 = 55 x 15 x c
c = 197.9/825
{c} = 0.24 J/(kg °C)
Therefore, the specific heat capacity of silver is {c} = 0.24 J/(kg °C).
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The bridges often have expansion joints to account for the changed in size due to temperature changes. Suppose a bridge is supported by steel girders; the central span has a girder that is 28m long.
If the girder warmed from 0°C to 32°C, by how much does its length increase?
Answers
The change in length is directly proportional to the change in temperature. Here, if the temperature changes from 0°C to 32°C, the length of girder changes from 28 m to 31.2 m. Thus, length increases by 3.1 m.
What is thermal expansion ?As the temperature of a substance increases, the distance between its molecules increases as their intermolecular forces gets weaken at higher temperatures.
The solid substances, especially metallic parts undergo thermal expansion and we can observe a change in their length and gap formed in between. This is what called as thermal expansion.
The change in length l is directly proportional to the change in temperature.
given length of the girder at 0°C or 273 K = 28 m
then length at 32°C or 305 K = (305 × 28 )/273 K = 31.2 m
Therefore, the length of the girder will increases by 3.1 meters.
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The total clockwise moment about a pivot is 5 Nm and the total anti-clockwise moment is 10 Nm. Will the object turn?
Yes or no?
Answers
Answer:
Yes, the object will turn.
Explanation:
The object will turn because there is an net clockwise moment of 5 Nm and an anti-clockwise moment of 10 Nm, resulting in a net clockwise moment of 5 Nm. According to the laws of physics, an object will rotate in the direction of the net torque acting upon it. In this case, the net torque is acting in a clockwise direction, causing the object to rotate in that direction.
a body of mass 5kg accelerates uniformly with a steady force of 20N. calculate the speed of the car after 5 seconds
Answers
Answer:
F=ma
v-u=at
Explanation:
F=ma
v-u=at
0. •Given that the apparent expansivity of a liquid is 0.00015³ 1² and the linear expansivity of the container is 0.00012
Answers
The real expansion of the apparent expansion of 0.00015 x 10⁻³ per Kelvin and the linear expansion of the container 0.00012 x 10⁻³ per kelvin is 1.8 x 10⁻¹³ per Kelvin.
Apparent expansion is the expansion we see when a liquid is heated without a vessel is called true expansion. The expansion of a liquid that is felt without taking into account the expansion of its container is called apparent expansion. The actual expansion of a liquid is always greater than the apparent expansion.
For actual expansion, the following formula is used:
real area = apparent area x linear area
So,
real expansivity = 0.00015 x 10⁻³ x 0.00012 x 10⁻³
real expansivity = 0.000000018 x 10⁻⁶
real expansivity = 1.8 x 10⁻¹³
The answer is 1.8 x 10⁻¹³ per Kelvin.
Your question is incomplete but most probably your full question was:
Given that apparent expansivity of a liquid is 0.00015x10(raised to power -3) per Kelvin and the linear expansivity of the container is 0.00012 x 10(raised to power -3) per Kelvin, calculate the real expansivity.
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Which material could you claim is translucent?
A. pure air
B. clear plastic
frosted glass
D. construction paper PLEASE HELP
Answers
Answer:c
Explanation:edge 2023
Answer: c is actually true
Explanation:
Circuits
Calculate the total Resistance, Current, and Power in the circuits
Answers
The equivalent resistance of the circuit = 8 Ω. Current = 3 Ampere. Power = 72 watt.
What is electrical circuit?A circuit in electronics is a complete circular channel via which electricity flows. A current source, conductors, and a load make up a straightforward circuit. In a broad sense, the word "circuit" can refer to any permanent path through which electricity, data, or a signal can pass.
The equivalent resistance of the circuit = 2 Ω + 4 Ω + (6 Ω || 3Ω)
= 8 Ω
Current flowing through the circuit = (24 V ÷ 8 Ω) = 3 Ampere.
Power = VI = 24 × 3 watt = 72 watt.
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A car P was decelerating at 2.0 m/s^2 when it passes a stationary car Q, and speed was 20 m/s. At the same car Q from rest and accelerated at 2.5 m/s² along the same straight road.
(i) Sketch the speed-time graph for cars P and Q. Mark appropriate values on both axes.
(ii) Find the time when car Q overtook car P.
(iii) How far was car Q from car P when car P came to a stop?
(b) Two vehicles P and Q start from the same point O and travel along lthe same road. The speed-time graphs of the two vehicles are as shown in the graph.
(i) What is the distance from O when P overtakes Q? (ii) Find the distance between the vehicles after 5.0 s. Which vehicle is ahead?
Answers
A. (i) The speed-time graph for cars P and Q is in the attachment.
(ii) The time when car Q overtook car P is 8.9 s.
(iii) Car Q is 25 ahead of car P when car P came to a stop.
B. (i) The distance from O when P overtakes Q is 22.4 m.
(ii) The distance between the vehicles after 5.0 s is 1 m. Car P is ahead of car Q.
The car is in uniform motion if the speed is constant. d = v × t
The car doing a non-uniform motion if the car increases or decreases its speed. Three formulas in non-uniform motion
v = v₀ + atv² = v₀² + 2add = v₀ t + 0.5 at²where
v₀ = initial speed (m/s) v = final speed (m/s) a = acceleration or deceleration (m/s²)Acceleration = + a
Deceleration = - at = time (s) d = displacement (m)
a. In this problem
Car P
v₀ = 20 m/sa = - 2 m/s²The car stop when v = 0v = v₀ + at
0 = 20 - 2t
2t = 20
t = 10 s
Car Q
v₀ = 0a = 2.5 m/s²When car P stop at 10 sv = v₀ + at
v = 0 + (2.5 × 10)
v = 25 m/s
Making speed-time graph
Car PFrom 20 m/s at t = 0 s
To 0 m/s at t = 10 sCar Q
From 0 m/s at t = 0 s
To 25 m/s at t = 10 s
When car Q overtook car P both cars traveled the same distance
d car P = d car Q
(v₀ t + 0.5 at²) car P = (v₀ t + 0.5 at²) car Q
(20 × t) + (0.5 × (- 2) × t²) = 0 + (0.5 × 2.5 × t²)
20t - t² = 1.25t²
0 = 2.25t² - 20t
0 = t (2.25t - 20)
t = 0 or 2,25t - 20 = 0
2.25t = 20
t = 20 ÷ 2.25
t = 8.9 s
When car P stops at t = 10 s
Car Pd = v₀ t + 0.5 at²
d = (20 × 10) + (0.5 × (- 2) × 10²)
d = 200 - 100
d = 100 mCar Q
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2.5 × 10²)
d = 1.25 × 100
d = 125 mDistance difference
125 - 100 = 25 m
B. In this problem
Car P moves in non-uniform motion
v₀ = 0At t = 5 s the speed v = 10 m/sThe accelerationv = v₀ + at
10 = 0 + 5a
5a = 10
a = 2 m/s²
Car Q
From t = 0 - 2 s move in non-uniform motionv₀ = 0
At t = 2 s the speed v = 6 m/sThe acceleration
v = v₀ + at
6 = 0 + 2a
2a = 6
a = 3 m/s²
When car Q overtook car P both cars traveled the same distance
Car Q moves in two types of motionFor Car QAfter t = 2 s move in uniform-motion
The speed at 2 s
v = v₀ + at
v = 0 + (3 × 2)
v = 6 m/s
The distance took at 2 s
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 3 × 2²)
d = 6 m
After t = 2 it move in uniform motion
d = v × t
d = 6tFor Car P
The distance took at 2 s
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2 × 2²)
d = 4 m
The speed at 2 s
v = v₀ + at
v = 0 + (2 × 2)
v = 4 m/s
The distance after 2 s
d = v₀ t + 0.5 at²
d = (4 × t) + (0.5 × 2 × t²)
d = 4t + t²After t = 2 s the distance difference = 6 m - 4 m = 2mAfter t = 2 s
d car Q - d car P = 2 m
6t - (4t + t²) = 2
6t - 4t - t² = 2
0 = t² - 2t - 2
Factorize t² - 2t - 2 = 0 using quadratic formula
a = 1b = - 2c = -2t₁₂ = (- b ± (√(b² - 4ac))) ÷ 2at₁₂ = (2 ± (√(2² - (4 × 1 × - 2)))) ÷ 2
t₁₂ = (2 ± (√(4 + 8)) ÷ 2
t₁₂ = (2 ± (√12) ÷ 2
t₁₂ = (2 ± 3.46) ÷ 2t₁ = (2 - 3.46) ÷ 2 = - 1.46 ÷ 2 = - 0.73 impossible t₂ = (2 + 3.46) ÷ 2 = 5.46 ÷ 2 = 2.73 st total = 2 + 2.73 = 4.73 sCar Q overtook car P at t = 4.73 sDistance from car P
d = 4 + 4t + t²
d = 4 + (4 × 2.73) + 2.73²
d = 4 + 10.92 + 7.45
d = 22.4 m
After 5 s
Car Pd = v₀ t + 0.5 at²
d = 0 + (0.5 × 2 × 5²)
d = 25 mCar Q
d = 6 + 6t
d = 6 + (6 × (5 - 2))
d = 6 + (6 × 3)
d = 6 + 18
d = 24 mCar P ahead car QThe distance between two cars
25 - 24 = 1 m
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A speaker use a 9V battery. It has a resistance of 200 ohms. What is the current flowing through the speaker?
Answers
The current flowing through the speaker is 0.045 ampere.
What is electric current?The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure.
The potential difference of the speaker = 9 V.
The resistance of the speaker = 200 Ω.
According to Ohm's law,
potential difference = resistance × current flowing
Hence, the current flowing through the speaker = potential difference ÷ resistance
= 9 V/200 Ω
= 0.045 Ampere.
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Part B
Describe how well you think your modeled position matches the observed position for the man.
Answers
To show an object's direction and location, motion maps are employed. The motion map provides the following information about the object's position and speed: With a high velocity, the object begins to travel away from the origin.
Justify the motion map?The object moves away from the origin at a fast initial speed before slowing down and returning. It moves away from the origin with a larger velocity after stopping for a little period of time, before turning around and moving back in the opposite direction.Refer to the motion map in the attachment for more information. The position of the object is indicated by the number next to each arrow on the motion map.Keep in mind that the short arrow indicates a low velocity, whereas the long arrow indicates a high velocity.Our next step is to use the arrows to determine the direction and position.According to the first arrow, the object accelerates rapidly as it leaves the origin.The third arrow indicates a greater velocity of motion for the object from the origin.The fourth and fifth arrows' orientation and placement show that the object next goes more slowly and back toward the origin.
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The distance versus time graph for Object A and Object B are shown.
A graph titles Distance vs Time. A curved line is drawn through point 10 on y axis and this line is labeled Object A. The graph for Object B is a straight slanting line passing through the origin
Which statement best describes the motion of Object A and Object B?
Both objects move with variable speed.
Both objects move with constant speed.
Object A moves with constant speed and Object B moves with variable speed.
Object A moves with variable speed and Object B moves with constant speed.
Answers
The statement that best describes the motion of Object A and Object B is that Object A moves with variable speed and Object B moves with constant speed.
What is speed?The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time. Speed is thus a scalar quantity.
From the graph, we can deduce that Object A moves with variable speed as there is change in its movement towards a specified part and Object B moves with constant speed.
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7. Two small cubes have 8 µC charge each.
First the cubes are placed 10 cm apart, and
then they are moved closer so they are 2 cm
apart. Which of these correctly describes
how the force between the charges changes?
Answers
The labor involved in moving two charges from a distance of 'd 1 '=10 cm to a closer distance of 'd 2 '=4 cm must be determined for two charges q 1 =12 C and q 2 =8 C.
Does capacitance enhance electric potential?Between capacitor plates, the field is constant, but the potential rises linearly. As long as the geometry of the capacitor doesn't change, the capacitance won't either. The potential difference will therefore rise in a straight line with the charge since C = Q/V.
To do this, we first determine the charge in the system's potential energy and then take the difference.
Now, d 1 =10cm=1010 2 =10 1 m, and d 2 =4cm=410 2 m.
Consequently, potential (V 1) equals 4 0 when q 1 and q 2 are separated by d 1.
Potential (V 2) equals 4 0 when q 1 and q 2 are separated by a distance of d 2.
Work completed =V 2 + V 1 = 0
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why radiometric dating can be used to date some rocks and not others.
What other methods are used?
Answers
Answer:
Radiometric dating is a method of dating rocks and minerals based on the decay of their radioactive isotopes. This method can be used to date rocks of any age, including those older than the Earth itself. However, some rocks are too old for radiometric dating, as the isotopes of certain elements have already decayed completely. Other methods of dating rocks and minerals include relative dating, which relies on stratigraphic relationships, and absolute dating, which relies on physical parameters such as the presence of uranium and thorium.
sketch the electric field for a) a negative point charge near a positively charged plate
Answers
The electric field for a negative point charge near a positively charged plate attached below
While being directed from the left plate to the right plate, the electric field in the center of the two plates will equal the sum of the two electric fields produced by the plates.
Electrified fields Every point in space has the vector quantity E. The force that would be applied to a unit positive test charge if it were positioned at a specific location is represented by the electric field at that location.
Any charge can be affected by the electric force known as the electric field. The start fraction is equal to E with a vector on top, while the end fraction is equal to F with a vector on top divided by q.
N/C, Newtons/coulomb The dimensions of an electric field are N/Cstart text, N, slash, C, and end text. An electric field, F, with a vector on top, equaling q, E, and a vector on top can be used to represent the electric force.
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A rock is dropped from a sea cliff, and the sound of it striking the ocean is heard 3.7 s later.
If the speed of sound is 340 m/s, how high is the cliff?
Neglect all frictional forces.
Answers
The height of the cliff, given that the sound of rock dropped from the cliff was heard 3.7 s later is 629 m
How do I determine the height of the cliff?We know that echo of sound wave is given by the following formula:
Speed = (2 × distance) / time
Using the above formula, we can determine the height of the cliff. This is illustrated below:
Time = 3.7 secondsSpeed of sound = 340 m/sHeight of cliff =?Speed = (2 × height) / time
340 = (2 × height) / 3.7
Cross multiply
2 × height = 340 × 3.7
2 × height = 1258
Divide both sides by 2
Height = 1258 / 2
Height = 629 m
Thus, from the above calculation, we can conclude that the height of the cliff is 629 m
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How would I solve for KE with only mass no velocity?
Answers
Answer:
K.E = (p)^2 / 2m
Explanation:
the first method is : K.E = (p)^2 / 2m where p is the momentum of the object. so here u should be given the momentum and the mass of the object.
Consider the equation v = (1/2)zxt?. The dimensions of the variables v, x, and t are [L/T], [L], and [T] respectively. The numerical factor 2 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions?
Answers
The dimensional formula of physical quantity z is [T⁻²].
What is dimensional formula?The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.
The relation between physical quantities v,x, z and t is
v = (1/2)zxt
The dimensional formula of physical quantity v is = [L/T] = [LT⁻¹]
The dimensional formula of physical quantity x is = [L]
The dimensional formula of t is = [T]
Hence, the dimensional formula of z is = [v]/[x][t]
= [LT⁻¹]/[L][T]
= [LT⁻¹L⁻¹T⁻¹]
= [T⁻²]
The dimensional formula of physical quantity Z is [T⁻²] .
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A balloonist is directly above a straight road 1.6 miles long
that joins two towns. She finds that the town closer to her is
at an angle of depression of 36° and the farther town is at
an angle of depression of 32°. How high above the ground
is the balloon?
Answers
The height of the balloon is 1.3 miles above the ground.
What is height?Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).
The answer to this question can be found by using the trigonometric formula of Tangent. To calculate the height of the balloon, we must find the length of the hypotenuse in the triangle formed by the two towns and the balloonist.
Using the formula for tangent, we can calculate the length of the hypotenuse. The formula is:
tan (angle) = opposite side/adjacent side
In this case, the opposite sides are the two towns, and the adjacent side is the height of the balloon.
For the first town, the formula is:
tan 36° = 1.6/x
Solving for x, we can calculate the length of the hypotenuse for the first town to be 2.8 miles.
For the second town, the formula is:
tan 32° = 1.6/x
Solving for x, we can calculate the length of the hypotenuse for the second town to be 2.9 miles.
Since the hypotenuse is the total distance between the two towns and the balloonist, the height of the balloon can be calculated by subtracting the total length of the two towns (1.6 miles) from the hypotenuse of the second town (2.9 miles).
The height of the balloon is 1.3 miles above the ground.
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Find the gravitational field on the surface of an alien planet that has an estimated mass of 8.5 x 1026 kg and radius of 3.5 x 104 km. Show all work
Answers
The gravitational field on the surface of the planet is approximately 9.81 m/s^2
What is gravitational field?
Gravitational field can be defined as the force field that exists in the space around every mass or group of masses.
The gravitational field on the surface of a planet can be calculated using Newton's law of gravitation:
G * m_planet / r^2
Where:
G = 6.67 x 10^-11 Nm^2/kg^2 is the gravitational constant
m_planet = 8.5 x 10^26 kg is the mass of the planet
r = 3.5 x 10^4 km is the radius of the planet (converted to meters)
First, let's convert the radius to meters:
3.5 x 10^4 km = 3.5 x 10^4 x 10^3 m = 3.5 x 10^7 m
Next, let's plug in the values and simplify the expression:
g = G * m_planet / r^2
g = (6.67 x 10^-11 Nm^2/kg^2) * (8.5 x 10^26 kg) / (3.5 x 10^7 m)^2
g = (6.67 x 10^-11 Nm^2/kg^2) * (8.5 x 10^26 kg) / (1.225 x 10^15 m^2)
g = 9.81 m/s^2
Therefore, The gravitational field on the surface of the planet is approximately 9.81 m/s^2
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