Justin travels a total distance of 17 km. His displacement is approximately 11.7 km, 20° west of south from his starting point.
To determine the total distance travelled by Justin, we simply add all the distances travelled:
12 km south4 km west1 km northTotal distance = 12 km + 4 km + 1 km = 17 km.
To find the displacement, we need to consider the initial and final positions. Justin's final position relative to the starting point involves a vector calculation.
Vertical displacement (south - north): 12 km (south) - 1 km (north) = 11 km south.
Horizontal displacement (west): 4 km west.
Using the Pythagorean theorem, the displacement can be calculated as follows:
Displacement= √((11 km)² + (4 km)²) = √(121 km² + 16 km²) = √137 km² ≈ 11.7 km.
Using trigonometry to find the direction, the angle θ from the south direction is:
tan(θ) = opposite/adjacent = 4/11 ≈ 0.364.
θ ≈ atan(0.364) ≈ 20° west of south.
Displacement = 11.7 km, 20° west of south.
A 66-kg skier starts from rest at the top of a 1200-mlong trail which drops a total of 230 m from top to bottom. at the bottom, the skier is moving 11.0 m/s. how much energy was dissipated by friction?
A total of 1.4 × 10⁵ Joule energy was dissipated by friction
[tex]\texttt{ }[/tex]
Further explanationLet's recall Kinetic Energy Formula as follows:
[tex]Ek = \frac{1}{2}mv^2[/tex]
Ek = Kinetic Energy ( Joule )
m = mass of the object ( kg )
v = speed of the object ( m/s )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
mass of skier = m = 66 kg
height of trail = h = 230 m
velocity of skier = v = 11.0 m/s
Asked:
work done by friction = W = ?
Solution:
[tex]W = Ep - Ek[/tex]
[tex]W = mgh - \frac{1}{2}mv^2[/tex]
[tex]W = 66(9.8)(230) - \frac{1}{2}(66)(11.0)^2[/tex]
[tex]W = 148764 - 3993[/tex]
[tex]W = 144771[/tex]
[tex]W \approx 1.4 \times 10^5 \texttt{ Joule}[/tex]
[tex]\texttt{ }[/tex]
Conclusion:A total of 1.4 × 10⁵ Joule energy was dissipated by friction
[tex]\texttt{ }[/tex]
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Answer detailsGrade: High School
Subject: Physics
Chapter: Dynamics
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Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant
When the useful energy output of a simple machine is 100 j, and the total energy input is 200 j, the efficiency is _______?
The efficiency of a machine is calculated by dividing the useful output energy by the total input energy and multiplying by 100%. In this case, the efficiency of the machine is 50%.
Explanation:The efficiency of a machine is calculated using the formula: Efficiency = (useful output energy / total input energy) * 100%. In your case, the useful energy output of the simple machine is 100 J, while the total energy input is 200 J. So, the efficiency of your machine is (100 J / 200 J) * 100%, which gives 50%. Therefore, the efficiency of your machine is 50%.
Remember, efficiency in real machines will always be less than 100 percent. This is due to factors such as friction and air resistance which convert some of the work into unavailable heat. Also, note that the work, denoted as W, can indeed be calculated as a force multiplied by a distance, even if these quantities may not always be as obvious as they are in the case of a lever or pulley, for instance.
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Which type of investment offers both capital gains and interest income
Answer:
"Stocks" type of investment offers both capital gains and interest income .
Explanation:
Patricia is excited about going to college because she feels that it will benefit her options in life. However, she cannot decide what it is she wants to do with her life. Patricia reads widely and discusses her choices with her friends and parents. During her first two years of college, she decides to take a variety of entry-level classes to see if anything feels like a good fit. Regarding her commitment to a career field, Patricia may be in a state of identity ________. Read the following scenario:Fickle Pharaoh is excited about going to college because he feels that his opportunities will increase. However, due to his variety of interest in many subjects, he cannot decide on a college major. As a result, he has devoted all his spare time to researching many areas of study until he can decide. In regard to career, Pharaoh is in a state of identity _________.
diffusion
moratorium
foreclosure
achievement
The state that Patriacia and Pharao might be when they were commitment to a career field even though they don't know what they want to do in their career path is state of identity moratorium.
What is identity moratorium?An identity moratorium can be regarded as the the process involving finding a sense of oneself.
This is because they are in a period of active searching for themselves and to determine who they really are.
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Where are the two lenses located in a compound microscope use in most classrooms today?
Final answer:
In a compound microscope, the ocular lens is located near the eye for viewing and the objective lens is closer to the specimen for initial magnification.
Explanation:
The two lenses located in a compound microscope used in most classrooms today are the ocular lens and the objective lens. The ocular lens, or eyepiece, is found at the top of the microscope and is the lens that you look through with your eye. It often contains multiple lenses within a cylindrical barrel and contributes to magnifying the image. The second lens, known as the objective lens, is located closer to the specimen. It is a convex lens with a short focal length that provides the initial magnification, typically ranging from 5× to 100×. The objectives are commonly mounted on a revolving nosepiece and are designed to be parfocal, allowing the sample to remain in focus when switching between different objective lenses. Both the ocular and objective lenses work together to produce a highly magnified, enlarged image that is far enough from the observer to be easily viewed.
how to use proton, neutron, and isotope in a sentence
The number of neutrons varies among isotopes, even when the number of protons is the same.
Different nuclear species of the same element are known as isotopes.
They both belong to the same chemical element since they have the same atomic number (number of protons in their nuclei) and position in the periodic table, but they have distinct nucleon numbers (mass numbers) because they have different numbers of neutrons in their nuclei.
Although the chemical properties of each isotope of a particular element are almost identical, they differ in their atomic weights and physical characteristics.
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If a new wave arrives on shore every two seconds, then its frequency is 2 hz (
a. True
b. False)?
Which statement describe velocity and acceleration
On a grid, what is the distance between two points located at (1, 1) and (8, 4) roughly equal to?
a. 9
b. 3.40
c. 7.61
d. 6.89
A foul ball is hit straight up into the air with a speed of a bout 25 m/s (a) how high does it go? (b) how long is it in the air
The relevant equations we can use in this problem are:
d = v0 t + 0.5 a t^2
v^2 = v0^2 + 2 a d
a. how high does it go?
We are to find for the distance d. The formula is:
v^2 = v0^2 + 2 a d
where v is final velocity = 0 at the peak, v0 = 25 m/s, a is negative gravity since opposite to direction = - 9.8 m/s^2, d is height achieved = ?
0 = (25)^2 + 2 (-9.8) d
d = 31.89 m
Therefore the maximum height is about 31.89 meters
b. how long is it in the air
We use the formula:
d = v0 t + 0.5 a t^2
in going up, a = -g = -9.8 m/s^2, find for time t:
31.89 = 25 t + 0.5 (- 9.8) t^2
-4.9 t^2 + 25 t = 31.89
t^2 – 5.1 t = 6.51
Completing the square:
(t – 2.55)^2 = 6.51 + 6.5025
t – 2.55 = ± 3.61
t = -1.06, 6.16
Since time cannot be negative, therefore:
t = 6.16 seconds
However this is not the total time yet, because this only accounts for the time going up.
The time going up and going down are equal therefore:
t(total) = 2 t
t(total) = 12.32 seconds
Therefore the foul ball spent 12.32 seconds in the air.
He density of ice is 0.92 g/cm3; and the density of seawater is 1.03 g/cm3. a large iceberg floats in arctic waters. what fraction of the volume of the iceberg is exposed?
Only about 11% of the volume of the iceberg is exposed.
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Further explanationThe basic formula of pressure that needs to be recalled is:
Pressure = Force / Cross-sectional Area
or symbolized:
[tex]\large {\boxed {P = F \div A} }[/tex]
P = Pressure (Pa)
F = Force (N)
A = Cross-sectional Area (m²)
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
Density of Ice = ρ_ice = 0.92 g/cm³
Densiy of Seawater = ρ_seawater = 1.03 g/cm³
Asked:
Volume of the exposed iceberg = ΔV = ?
Solution:
We will use Archimedes' principle to solve the problem as follows:
[tex]w = F[/tex]
[tex]mg = \rho_{seawater} g V'[/tex]
[tex]\rho_{ice} \ g V = \rho_{seawater} \ g V'[/tex]
[tex]V' = ( \rho_{ice} \div \rho_{seawater} ) V[/tex]
[tex]V' = (0.92 \div 1.03) V[/tex]
[tex]V' = \frac{92}{103} V[/tex]
[tex]\texttt{ }[/tex]
[tex]\Delta V = V - V'[/tex]
[tex]\Delta V = V - \frac{92}{103} V[/tex]
[tex]\Delta V = \frac{11}{103}V[/tex]
[tex]\Delta V \approx 11 \% V[/tex]
[tex]\texttt{ }[/tex]
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Answer detailsGrade: High School
Subject: Physics
Chapter: Pressure
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Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant , Liquid , Pressure
Would the density of a person be the same on the surface of the earth and on the surface of the moon? explain.
A sample of an unknown liquid has a volume of 12.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value
Answer:
Density, d = 0.5 g/mL
Explanation:
It is given that,
Mass of the unknown liquid, m = 6 g
Volume of unknown liquid, V = 12 mL
Density is defined as the mass of the liquid divided by its volume. Mathematically, it is given by :
[tex]d=\dfrac{m}{V}[/tex]
[tex]d=\dfrac{6\ g}{12\ mL}[/tex]
d = 0.5 g/mL
So, the density of the unknown liquid is 0.5 g/ml. Hence, this is the required solution.
Which planet is approximately 20 times farther from the sun than earth is answer\?
Final answer:
The planet which is approximately 20 times farther from the Sun than Earth is Uranus, orbiting the Sun at an average distance of about 19.8 AU.
Explanation:
The question at hand is: Which planet is approximately 20 times farther from the sun than Earth is? To answer this, we can refer to the concept that the light a planet receives from the Sun decreases with the square of the distance from the Sun. Considering the average distance from Earth to the Sun is about 150 million kilometers (1 Astronomical Unit, AU), a planet that is 20 times farther from the Sun would be at 20 AU.
In our solar system, the planet that falls into this category is Uranus, which orbits the Sun at an average distance of approximately 19.8 AU. This makes Uranus about 20 times farther from the Sun than Earth is, hence receiving much less sunlight compared to Earth.
What are 2 ways objects interact after a collision?
A 98 kilogram man is accelerating forward at a rate of 1.2 m/s2. What is the unbalanced force necessary to produce the movement?
Answer : The unbalanced force necessary to produce the movement is, 117.6 N
Solution :
Force : It is defined as the force is equal to the product of the mass of an object and the acceleration of an object.
Formula used :
[tex]F=m\times a[/tex]
where,
F = force
m = mass = 98 Kg
a = acceleration = [tex]1.2m/s^2[/tex]
Now put all the given values in the above formula, we get the unbalanced force necessary to produce the movement.
[tex]F=(98Kg)\times (1.2m/s^2)=117.6\text{ Kg }m/s^2=117.6N[/tex]
Therefore, the unbalanced force necessary to produce the movement is, 117.6 N
The unbalanced force necessary to produce the movement of a 98-kilogram man accelerating forward at a rate of 1.2 m/s² is 117.6 Newtons.
Explanation:The unbalanced force necessary to produce the movement of a 98-kilogram man accelerating forward at a rate of 1.2 m/s² can be calculated using Newton's second law of motion:
F = m x a
Where F is the force, m is the mass, and a is the acceleration.
Substituting the given values:
F = 98 kg x 1.2 m/s²
F = 117.6 N
Therefore, the unbalanced force necessary to produce the movement is 117.6 Newtons.
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justify why a rotten fruit is not truly wasted
Write a hypothesis about the effects of magnetic and electric fields. Use the format of "if . . . then . . . because . . ." and be sure to answer the lesson question: "How can magnetic and electric fields be demonstrated?"
Please help!
The Magnetic and electric fields be demonstrated by attracting or repelling each other because of their magnetic or electric properties. In the event that a attractive or electric field is display, materials that create these areas will associated by pulling in or repulsing each other since of their attractive or electric properties. The articulation could be a speculation around the impacts of attractive and electric areas. Utilize the format of "if...then...because..." and be beyond any doubt to reply the lesson address:
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This hypothesis and explanation highlight the effects of magnetic and electric fields, showing how they can be demonstrated using various methods like the right-hand rule. Evidence of a magnetic field near a current-carrying wire can be seen with iron filings or a compass, and the direction of magnetic fields and forces can be determined using specific rules. The hypothesis predicts which materials are magnetic due to their atomic structure.
If a magnetic field is applied to a current-carrying conductor, then the direction of the magnetic field around the conductor can be determined using the right-hand rule because the magnetic field generated by the current follows a specific pattern established by electromagnetic theory.
1. Evidence of a Magnetic Field Around a Current-Carrying Wire: When a current flows through a wire, it creates a magnetic field around it. This can be demonstrated using iron filings or a magnetic compass placed near the wire. The pattern of the iron filings or the direction of the compass needle will show the presence of the magnetic field.
2. Using the Right-Hand Rule: To determine the direction of the magnetic field around a current-carrying conductor, use your right hand: point your thumb in the direction of the current, and the curl of your fingers around the wire will point in the direction of the magnetic field.
Hypothesis: If a magnet is brought near various materials, then only certain materials will exhibit magnetism because magnetic properties are specific to materials with particular atomic structures, such as iron, cobalt, and nickel.
Effects of Magnetic Fields on Moving Charges: A moving charge in a magnetic field experiences a force perpendicular to both its velocity and the magnetic field direction. To determine the direction of this force, use the right-hand rule: point your fingers in the direction of the velocity, orient your palm to face the magnetic field direction, and your thumb will point in the direction of the force.
Magnetic Force Calculation: The force (F) on a moving charge (q) in a magnetic field (B) with velocity (v) is given by the equation F = q(v x B). This ensures that the force is perpendicular to both the velocity of the charge and the magnetic field.
The tension at which a fishing line snaps is commonly called the line's "strength." what minimum strength is needed for a line that is to stop a salmon of weight 85 n in 13.0 cm if the fish is initially drifting at 3.0 m/s? assume a constant deceleration and that the fishing line is horizontal.
Air pressure is usually lowest during which season?
Julia throws a ball vertically upward from the ground with a speed of 5.89 m/s. Andrew catches it when it is on it's way down at a height of 1.27 m from the ground. After how much time does andrew catch the ball?
What nonfoliated metamorphic rock forms during contact metamorphism of a shale or mudstone?
How much time does it take for tweety’s bird cage to hit the ground after it was dropped if it reached a velocity of 22 meters per second right before impact?
How do I calculate the orbital period of Mercury?
Answer:88 days
Explanation: The sidereal.orbital period is calculated from observations. Mercury is observed to come into
superior conjunction with the Sun every 116 days. This is called the "Mercury's synodic year". The sum of the inverse of earth's sidereal year and merciry's synod year equals the inverse of mercury's sidereal year. That is:
1/365.24 + 1/116 = 1/P where P is mercurry's sidereal year.
Therefore, P equals 88 days.
1.An electrician is deciding what type of material to use for wires. Based on the periodic table, which of the following would be the best material and reason for its use?
which is true of a kilogram of feathers and a kilogram of bricks?
a. they have the same mass
b. they have the same volume
c. the bricks are less dense
d. the feathers are more dense
In comparing a kilogram of feathers and a kilogram of bricks, they have the same mass but do not have the same volume or density. Bricks are more dense than feathers.
Explanation:The comparison between a kilogram of feathers and a kilogram of bricks deals with two primary concepts: mass and density. When we are comparing a kilogram of feathers and a kilogram of bricks, they have the same mass because a kilogram is a measure of mass. Therefore, option (a) is correct.
However, they do not have the same volume and the density of each is different. Density is defined as mass per unit volume. Bricks are denser than feathers. This means that for a given mass, bricks take up less space or volume than feathers. Therefore, neither option (b) nor options (c) and (d) are correct.
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Honey bees beat their wings, making a buzzing sound at a frequency of 2.3 × 102 hertz. What is the period of a bee's wing beat? 4.3 × 10-3 seconds
Answer:
0.0043 or 4.3 × 10-3 seconds
Explanation:
Period= 1/frequency
[tex]T=\frac{1}{2.3*10^{2} Hz} = 0.0043[/tex] seconds
0.0043 seconds can be expressed in C.N as 4.3 × 10-3 seconds
Ginger examines a painting of a stone path extending into the horizon of a field. two sticks lie horizontally across the path: one in the beginning of the path and the other near the horizon. each stick measures 10 cm in length, but the stick near the horizon appears much larger than the stick at the beginning of the path. which illusion explains this phenomenon?â
15 POINTS!!!
If you microwave a bowl of soup for too long, you might burn your hands when you remove the bowl from the microwave oven. What kind of heat transfer would this be called if you did burn your hands when removing a hot bowl from a microwave oven?
Answer:
conduction
Explanation:
educere
The radius of the earth's very nearly circular orbit around the sun is 1.5 1011 m. find the magnitude of the earth's velocity, angular velocity, and centripetal acceleration as it travels around the sun. assume a year of 365 days. (a) the earth's velocity
The earth's velocity as it orbits the sun is about 2.99 * 10⁴ m/s. The angular velocity is approximately 7.27 *10⁻⁷ rad/s, and the centripetal acceleration is around 5.93 m/s².
Explanation:The earth's velocity (V), angular velocity (ω), and centripetal acceleration (A) can be calculated using the radius of the earth's orbit (r) around the sun and the period of orbit (T).
1. Earth's velocity:
As the earth orbits the sun, it covers a distance of 2πr (the circumference of a circle) in one complete orbit (T). Using the formula V = Δd/Δt, where Δd is the displacement in distance and Δt is the change in time, we can find earth's velocity to be approximately 2π* (1.5 *10¹¹ m)/(1 year) = 2.99 * 10⁴ m/s.
2. Angular velocity:
The earth's angular velocity can be determined by angular displacement over time. Since the earth completes 2π radians in one period of orbit (1 year), ω = Δθ/Δt = 2π/T , which when converted to SI units is approximately 7.27 *10⁻⁷ rad/s.
3. Centripetal acceleration:
Centripetal acceleration is determined using the formula A = V²/r. Using V = 2.99 * 10⁴ m/s and r = 1.5 * 10¹¹ m, we find A is approximately 5.93 m/s².
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