A car is driven 215 km west and then 98 km south west (45 degree). a)what is the displacement of the car from the origin point? b) what is the directions
Answers
A car is driven 215 km west and then 98 km southwest (45 degrees). The total displacement from the origin point is 224 km. The direction of the car from the origin point is approximately 18.9° west of south.
a) To determine the displacement of the car from the origin point, we can use the Pythagorean theorem. Let's consider the westward direction as the x-axis and the southward direction as the y-axis.
The car has travelled 215 km west and 98 km at a 45-degree angle southwest. We can break down the southwest direction into its x and y components as follows:
x-component = \(98\;cos (45^{\circ}) = 69.3\;km\)
y-component = \(98\;sin (45^{\circ}) = 69.3\;km\)
Therefore, the total displacement from the origin point can be calculated as follows:
displacement = \(\sqrt{[(215\;km)^2 + (69.3\;km)^2]\)
displacement = 224 km
b) To determine the direction of the car from the origin point, we can use trigonometry to find the angle between the displacement vector and the x-axis:
angle = \(tan^{-1}(69.3\;km / 215\;km)\)
\(angle \approx 18.9^{\circ}\) west of south
Therefore, the direction of the car from the origin point is approximately 18.9° west of south.
In summary, we can determine the displacement of a car from its origin point by using the Pythagorean theorem and breaking down any diagonal components into their x and y components. We can then use trigonometry to find the direction of the displacement vector relative to a given axis.
To know more about displacement refer here:
https://brainly.com/question/29769926#
#SPJ11
Complete Question:
A car is driven 215 km west and then 98 km south west (45 degree).
a)what is the displacement of the car from the origin point?
b) what is the directions of the car from the origin point?
Related Questions
What is the power of a hairdryer that uses a 230V power supply if 5A of current flows through it?
Answers
Answer: Here ,
V=230
I=5
P=?
so , we know that
P=VI
P=230 ×5
1150 ans
Explanation:
Can someone help me with this please
Answers
Answer:
b
a
Explanation:
Two 0.967 kg masses are 4.439 m apart on a frictionless table. Each has 16.074 microCoulombs of charge. What is the initial acceleration of each mass if they are released and allowed to move?
Answers
Firstly, we can write the equation for the electric force. It is:
\(F_e=k\frac{q_1q_2}{d^2}\)By applying our values we get
\(F_e=(9*10^9)\frac{(16.074*10^{-6})*(16.074*10^{-6})}{(4.439)^2}=0.118N\)Now, if we remind ourselves of Newton's law, we know that
\(\vec{F}=m.\vec{a}\)We know the mass, and we know the Force, so we can find out the acceleration, this gives us:
\(0.118=0.967*a\)Thus
\(a=\frac{0.118}{0.967}=0.122\frac{m}{s^2}\)Our final acceleration is 0.122 m/s^2
Which is an example of radiant energy producing motion
A) a battery powered fan
B) a solar powered light bulb
C) solar powered fan
D) battery powered light bulb
Answers
Answer:
i think D
Explanation:
correct me if I wrong
A+block+of+1.2kg+is+placed+on+an+included+plane+at+60°+to+the+horizontal.+Calculate.+a.The+force+that+will+make+the+block+to+slide+down+the+plane.B.The+coefficient+of+friction+.C.+The+normal+reaction+d.+The+friction+force
Answers
Answer:
a. 10.2 N b. 1.73 c. 58.8 N d. 10.2 N
Explanation:
a. The force that will make the block slide down the plane
This is the component of the block's weight along the plane F = mgsinθ where m = mass of block = 1.2 kg, g = 9.8 m/s² and θ = angle of incline = 60°.
So, F = mgsinθ = 1.2 kg × 9.8 m/s² × sin60°.= 10.18 N ≅ 10.2 N
b. The coefficient of friction
The coefficient of friction, μ = tanθ = tan60° = 1.73
c. The normal reaction.
This is equal to the vertical component of the block's weight. So, F = mgcosθ. Substituting the values for the variables from above, we have
F = mgcosθ = 1.2 kg × 9.8 m/s² × cos60°.= 58.8 N
d. The frictional force
Since the block does not slide, there is no net force on it. If f is the frictional force, then
F - f = ma. Since a = acceleration = 0,
F - f = 0
f = F = mgsinθ = 1.2 kg × 9.8 m/s² × sin60°.= 10.18 N ≅ 10.2 N
What happens in both hemispheres when Earth is at position c
Answers
When the Earth is at point C, Equinox happens.
In Equinox, the Sun is directly above the equitor making day and night equal in both hemispheres.
Two point charges -5 c and 4 c charge are 21 cm apart. what is the magnitude of the electric field at a point half-way between the two charges?
Answers
The magnitude of the electric field at a point halfway between two point charges can be calculated using the principle of superposition. This principle states that the total electric field at a given point is the vector sum of the electric fields created by each individual charge.
In this case, we have two point charges: -5 c and 4 c, separated by a distance of 21 cm.
To calculate the electric field at this point, we can consider the electric fields created by each charge separately and then add them together.
Step 1: Calculate the electric field created by the -5 c charge.
The electric field created by a point charge can be calculated using the formula:
Electric field (E) = (k * Q) / (r^2)
Where k is the electrostatic constant (approximately 9 x 10^9 Nm^2/C^2), Q is the charge, and r is the distance from the charge to the point where the electric field is being calculated.
For the -5 c charge, the electric field can be calculated as:
E1 = (k * -5) / (0.105^2)
E1 = - k / 0.00441
Step 2: Calculate the electric field created by the 4 c charge.
Using the same formula, the electric field created by the 4 c charge can be calculated as:
E2 = (k * 4) / (0.105^2)
E2 = 4k / 0.00441
Step 3: Add the two electric fields together.
To find the total electric field at the point halfway between the two charges, we add the electric fields created by each charge together:
E_total = E1 + E2
E_total = - k / 0.00441 + 4k / 0.00441
Step 4: Simplify the expression.
Combining the two terms, we can simplify the expression to:
E_total = (4k - k) / 0.00441
E_total = 3k / 0.00441
Step 5: Calculate the value of k.
The electrostatic constant, k, is approximately 9 x 10^9 Nm^2/C^2.
Step 6: Substitute the value of k into the expression.
Using the value of k, we can substitute it into the expression to find the value of the total electric field:
E_total = 3 * (9 x 10^9) / 0.00441
Step 7: Calculate the magnitude of the electric field.
To find the magnitude of the electric field, we take the absolute value of the total electric field:
Magnitude of E_total = |E_total|
By following these steps and performing the necessary calculations, you will be able to determine the magnitude of the electric field at a point halfway between two point charges.
Remember to include the units of the electric field, which are N/C (Newtons per Coulomb).
To know more about electric field visit;
https://brainly.com/question/30544719
#SPJ11
coherent light with wavelength 460 nm falls on a pair of slits. on a screen 1.85 m away, the distance between dark fringes is 3.96 mm.
Answers
To analyze the given scenario, we can use the formula for the fringe separation in a double-slit interference pattern:
Δy = (λL) / d
Where:
Δy is the fringe separation
λ is the wavelength of light
L is the distance from the slits to the screen
d is the distance between the slits
Given:
Wavelength (λ) = 460 nm = 460 × 10^(-9) m
Distance from slits to screen (L) = 1.85 m
Fringe separation (Δy) = 3.96 mm = 3.96 × 10^(-3) m
We can rearrange the formula to solve for the distance between the slits (d):
d = (λL) / Δy
Substituting the values:
d = (460 × 10^(-9) m) × (1.85 m) / (3.96 × 10^(-3) m)
Simplifying the equation, we get:
d ≈ 2.14 × 10^(-3) m
Therefore, the distance between the slits is approximately 2.14 × 10^(-3) meters.
To learn more about double-slit interference follow:
https://brainly.com/question/32574386
#SPJ11
O.A. (Opinionated Answer): What is your take on dimensions and altered realities. Where do you think youd find them? do you believe in them? and how would time shift or alter?
Answers
you cant what done is done unless you start over. well think of a game it is its own dimension created by man for our entertainment but its not perfect there are glitches and modifications. but you are not the main character only one is and He gives us our own controler our brain. but if your athiest then ask me in the comments. i can explain both ways
Answer:
The world as we know it has three dimensions of space—length, width, and depth—and one dimension of time. But there's the mind-bending possibility that many more dimensions exist out there. According to string theory, one of the leading physics models of the last half-century, the universe operates with 10 dimensions. A dimension arises when a force is generated that allows movement into a new domain. Yes, I personally do believe in them for reasons I can't explain. Dimensional shifts were a phenomenon whereby an object or person is transported from one location to another via folded-space transport or shifted to a parallel universe on a different dimensional plane.
Explanation:
Have a great rest of your day
#TheWizzer
Different between
atmospheric presure and liquid
pressure
Answers
Explanation:
An atmosphere (atm) is a unit of measurement equal to the average air pressure at sea level but liquid pressure is exerted on the surface of an object in a liquid.
And they also differ in formulas. We can calculate atmospheric pressure in two ways. First we can get the atmospheric pressure by an instrument called barometer. And the second one is by usin this formula, atmospheric pressure = density of mercury x acceleration due to gravity x height of column of mercury. But this equation will only work if the atmospheric pressure is being measured by mercury.
But the formula for liquid pressure is defferent and the instrument used to measure the liquid pressure is also defferent.
The instrument used to measure the liquid pressure is pressure gauge. And the formula for the liquid pressure is density x height x gravity. Please give me a like and thank me.
please.
a tall couple produces a dwarf offspring with aid of a diagram explain to the husband how it is possible for him and his wife to have dwarf children
Answers
Answer:
Your child can inherit dwarfism from your father only if their other parent also gives them a dwarfism gene copy. The odds of this happening are pretty small.
uhm Hope this helps
State two assumptions of the Kinetic Theory.
Answers
Answer:
Explanation: 1: The gas particles move in a straight line before colliding with something, usually the wall of their containers.
2: The is no attraction or repulsion between the gas particles.
PLEASE I NEED THIS TODAY!!!
What happens to the amount of carbon in a closed ecosystem? Explain by giving examples and evidence from the article.
Scientists around the world who study Earth’s atmosphere have discovered something dramatic and alarming: an increase in the amount of carbon dioxide in our atmosphere. They are finding that the increase in carbon dioxide in our atmosphere may have worldwide effects on our climate and our oceans, which can threaten life all over the planet.
Where is the carbon that makes up all that carbon dioxide coming from? Carbon is an element that makes up a lot of the matter on Earth. New carbon can’t be created, so the extra carbon in our atmosphere had to come from somewhere—it must have decreased in some other part of the Earth system. But where? Humans put carbon into the atmosphere when we burn fuels like coal, oil, and gas that are found deep underground. These are called fossil fuels.
These fossil fuels make the modern human lifestyle possible. Most of the time, when we use a cell phone, drive a car, heat our homes, or turn on the lights, we are using energy that comes from burning fossil fuels. We currently depend on these fuels to power our lives, but burning them releases large amounts of carbon dioxide into the air—and that increase in carbon dioxide might jeopardize life as we know it.
Fossil Fuels
Coal, oil, and gas are called “fossil fuels” for a reason: they are the carbon-rich matter left behind by plants and animals that died millions of years ago. These plants and animals were buried deep underground before they could decompose, so decomposers never broke down the dead matter. Over millions of years, the remains of the plants and animals turned into carbon-rich fossil fuels—coal, oil, and gas. The carbon that was in the plants and animals when they died is still there; it’s just part of the fossil fuels. When we burn fossil fuels in cars, factories, or power plants, carbon that has been stored in the ground for millions of years is released into the air as carbon dioxide.
An illustration of ancient organisms.
Fossil fuels are the remains of animals and plants that died millions of years ago and were buried before they could decompose.
The Carbon Cycle
Earth is a closed ecosystem.
Earth is a closed ecosystem. There are many different regional ecosystems on Earth, but they all share one atmosphere and one ocean. Very little matter escapes from Earth into space, and almost none enters. Since almost no carbon enters or leaves Earth’s system, and carbon isn’t being produced or used up, the amount of carbon in the system does not change. If carbon is increasing in one part of Earth’s system, it must be decreasing somewhere else.
Although carbon rarely leaves Earth’s system, carbon moves in a cycle within Earth’s ecosystem. This cycle is powered by energy. Carbon cycles from biotic matter to abiotic matter and back again. This means that carbon spends time in the air, in the ocean, in the soil, and in organisms as it moves continuously through the ecosystem. Powered by energy from sunlight, photosynthesis moves carbon from the air and water into living things. At the same time, cellular respiration moves carbon from living things to the air and water. This continuous, consistent pattern of movement is called the carbon cycle, and it is essential to the survival of life on Earth. However, human activities are altering the way carbon moves through the global ecosystem.
A diagram depicting the carbon cycle.
The Carbon Cycle: The arrows in this diagram show the pathways that carbon follows as it moves around the ecosystem. The black arrows show the pathways that exist naturally in the ecosystem. The large red arrow shows how humans can increase the amount of carbon in the atmosphere by burning dead matter like fossil fuels.
As people around the world burn more and more fossil fuels, a great deal of carbon from deep underground is moving into the atmosphere. Carbon in one part of the system (abiotic matter) is increasing, and as a result, carbon in another part of the system is decreasing—in this case, biotic matter, which includes dead matter. Since the entire Earth shares the same atmosphere, changes in levels of carbon dioxide affect ecosystems all over the planet.
All the extra carbon dioxide in the atmosphere is having many negative effects on the global ecosystem, and especially on the climate of our planet. Adding carbon dioxide to the atmosphere changes climate and weather patterns around the globe in ways that make it harder for many organisms to survive. Increased carbon dioxide causes global temperatures to rise, makes ocean water more acidic, and changes weather patterns. These changes may increase the chances of extreme weather events like hurricanes and droughts, which affect humans directly as well as the ecosystems and farms we depend on. By increasing the amount of carbon dioxide in the atmosphere, we are gambling with our very way of life.
Answers
Answer: What is the main cause of the increase in carbon dioxide in our atmosphere?
The main cause of the increase in carbon dioxide in our atmosphere is the burning of fossil fuels, such as coal, oil, and gas. When these fuels are burned, carbon dioxide is released into the atmosphere, which can have negative effects on our climate and oceans. This increase in carbon dioxide is caused by human activities, and it may jeopardize life on the planet if we do not take action to reduce our reliance on fossil fuels.
Explanation: very long /:
The freezing point of an aqueous 0.050 m cacl2solution is −0.27 °c. what is the van’t hoff factor (i) for cacl2at this concentration? how does it compare to the expected value of i?
Answers
Then the answer is 2.9
\($\begin{aligned} \Delta T_{f} &=i \times m \times k_{f} \\ i &=\frac{\Delta T_{f}}{m \times k_{f}} \end{aligned}$\)
\(=\frac{0.27^{\circ} \AC}{0.050 \times \frac{1.86^{\circ} \mathrm{C}}{\mathrm{m}}}\)
\(\therefore i^{2}=2.9\)
Using van’t hoff factor the answer has no unit, as, expected since i is a ratio. The magnitude is about right since it is close to the value ace would expect upon the complete dissociation \($\mathrm{CaCl}_{2}$\).
What is Van't Hoff factor?
The Van't Hoff factor is always positive and can never be negative. When the solute remains completely undissociated in solution, the Van't Hoff factor is one; it is greater than one for salts and acids and less than one for the solute that associates when dissolved to form a solution.The van't Hoff factor is defined as the ratio of the observed colligative property produced by a given concentration of electrolyte solution to the observed colligative property produced by the same concentration of non-electrolyte solution.To learn more about van't Hoff factor visit: https://brainly.com/question/24598605
#SPJ4
PLEASE HELP ME I AM TIMED!
Answers
Answer: B
Explanation: I can tell the block weights more since the water went down
What is the source of almost all energy on Earth?
O Earth's hot core
O the Sun
O stored carbon
O moving water
Answers
Answer:
The Sun
Explanation:
A few main examples of the sun providing the Earth with energy; It is part of the process of photosynthesis. Sunlight can be used to produce solar energy. The sun keeps the Earth warm enough for living organisms to survive.
A property that can be observed without changing the identity of a substance is a:a. chemical propertyb. physical propertyc. exothermic propertyd. endothermic property
Answers
A property that can be observed without changing the identity of a substance is a Physical Property.
A physical property is a property that can be observed or measured without changing the composition of the substance. They are used to observe and describe matter. Texture, color, smell. Melting point, boiling point, density, solubility, polarity, electrical conductivity, ductility, ductility, luster, sound intensity, etc., are some examples of physical properties.
Physical properties are often characterized as strength and general properties. Intensive properties do not depend on the size or extent of the system, nor on the amount of matter in the object, while extensive properties exhibit an additive relationship. These classifications are generally valid only if the smaller subdivisions of the sample do not interact in a physical or chemical process when combined.
Goods can also be classified according to the meaning of their nature. For example, isotropic properties do not vary with viewing direction, while anisotropic properties have spatial variance.
Learn more about Physical Property:
https://brainly.com/question/2116116
#SPJ4
In a gravitational-free environment, an object of unknown mass is connected to a spring with k = 40 N/m. The spring is compressed .2 m to and released. At the moment the spring is released, the object accelerated at 3 \(m/s^{2}\). What is the mass of the object?
pls explain asap!!!
Answers
Newton's Third Law of Motion states that springs exert a restoring force when they are pulled. The relationship between the spring force, spring constant, and spring displacement is governed by Hooke's Law.
Mass of the object= k*x/a= 26kg
what is Hooke's law?
The force (F) required to extend or compress a spring by a certain distance (x) scales linearly with respect to that distance, according to the empirical law known as Hooke's law.
according to Hooke's law
f=-k x (-ve because spring is compressing)
from force equation f=ma m-=mass, a= acceleration , k=spring constant, x= displacemt due to compression
so, ma=-k x, (mass can not be -ve so remove -ve sign)
m=k x/a= 40*2/3=26.67 kg
To learn more about : Hooke's law
Ref : brainly.com/question/7324904
#SPj9
HELP PLEASE!!!!!
When a person combs or brushes their hair static energy will make it stand up and stick to the comb. Why does the hair stick to the comb? What would you have to do to prevent it from sticking? (Be specific)
Answers
Hope this helps
Consider the following force:
Darnel is pushing on his friend's wheelchair.
According to Newton's third law, what other force must be happening?
The wheelchair is pushing on Darnel.
The wheelchair is pulling on Darnel.
Submit
Answers
The other force that must be happening in accordance with Newton's third law is that the wheelchair is pushing on Darnel (option A).
What is Newton's third law?Force is a push or a pull that acts upon an object as a results of its interaction with another object.
Newton's third law states that for every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects.
Whenever objects A and B interact with each other, they exert forces upon each other. For example, Darnel is pushing on his friend's wheelchair, the wheelchair exerts an upward force on Darnel.
Learn more about Newton's law at: https://brainly.com/question/15280051
#SPJ1
A girl whose weight is 220-N hangs from
the middle of a bar supported by four vertical
strands of rope. What is the tension in each
strand?
Answers
Answer: 55n
Explanation:
HELP ME PLEASE!!!!!!!
Answers
what is the defining property of the trojan asteroids?
Answers
The defining property of Trojan asteroids, therefore, is their orbital relationship with a planet and their confinement to stable Lagrange points, distinguishing them from other asteroids that follow independent orbits in the Solar System.
The defining property of Trojan asteroids is their unique orbital relationship with a larger celestial body, typically a planet. Trojan asteroids are a group of small celestial bodies that share the same orbit as a planet, either preceding it or following it in its path around the Sun. These asteroids are situated in stable regions known as Lagrange points, specifically the L4 and L5 Lagrange points.
The L4 and L5 Lagrange points are positions in a planet's orbit where the gravitational forces of the planet and the Sun balance out, creating stable regions where objects can remain relatively stationary. Trojan asteroids are trapped in these Lagrange points, forming clusters or swarms around these stable regions.
The most well-known example of Trojan asteroids is found in the orbit of Jupiter, where thousands of Trojan asteroids have been discovered. Similarly, Trojan asteroids have also been identified in the orbits of other planets, including Mars, Neptune, and Earth.
For more such questions on Trojan asteroids
https://brainly.com/question/15552470
#SPJ4
a collection of voltaic cells (or piles) is called a _______________.
Answers
A collection of voltaic cells (or piles) is called a battery.
What are voltaic cells?
Voltaic cells are chemical cells that generate electricity.
A series of voltaic cells connected together in a steel container which produce current as a result of oxidation reduction reaction.
In a voltaic cell there are two compartments where oxidation and reduction occurs simultaneously to produce current.
In each compartment there is an electron. The positively charged electrode is cathode(reduction) and negatively charged in anode (oxidation).
In general, the steel container in which a redox reaction occurs inside a voltaic cell is called a battery.
If you need to learn more about voltaic cells click here:
https://brainly.com/question/3810653
#SPJ4
differences between single & double displacement reaction
Answers
An 12-V battery is connected to three capacitors in series.The capacitors have the following capacitances: 5.0 uF,10 uF, and 34 uF.
Find the voltage across the 34 uF capacitor.
*Express your answer using two significantfigures.* ΔV = ____ V
Answers
The voltage across the 34 uF capacitor when a 12-V battery is connected to three capacitors in series with capacitances of 5.0 uF, 10 uF, and 34 uF is 1.07 V.
To find the voltage across the 34 uF capacitor when a 12-V battery is connected to three capacitors in series with capacitances of 5.0 uF, 10 uF, and 34 uF, we first need to find the equivalent capacitance (C_eq) of the series combination. The formula for capacitors in series is:
1/C_eq = 1/C₁ + 1/C₂ + 1/C₃
Plugging in the values:
1/C_eq = 1/5 + 1/10 + 1/34
1/C_eq = 0.2 + 0.1 + 0.0294
1/C_eq ≈ 0.3294
C_eq ≈ 3.035 uF
Now, we can use the formula Q = C * V to find the charge (Q) stored in the equivalent capacitor:
Q = C_eq * V
Q ≈ 3.035 uF * 12 V
Q ≈ 36.42 uC
Since the charge on each capacitor in series is the same, we can use the same charge value to find the voltage (ΔV) across the 34 uF capacitor:
ΔV = Q / C
ΔV ≈ 36.42 uC / 34 uF
ΔV ≈ 1.07 V
Thus, the voltage across the 34 uF capacitor is approximately 1.07 V, expressed using two significant figures.
Learn more about voltage: https://brainly.com/question/13592820
#SPJ11
A fiber-optic rod consists of a central strand of material surrounded by an outer coating. the interior portion of the rod has an index of refraction of 1.55. if all rays striking the interior walls of the rod with incident angles greater than 59.5° are subject to total internal reflection, what is the index of refraction of the coating?
Answers
Answer:
the index of refraction of the coating is 1.33
Explanation:
Given the data in the question;
refraction index of interior portion of the rod η\(_{interior\) = 1.55
angle of incidence θ\(_i\) = 59.5°
From Snell's law, we know that;
η\(_{interior\) × sinθ\(_i\) = η\(_{coating\) × sinθ\(_r\)
where η\(_{interior\) is the index of refraction of the rod ( material 1 )
θ\(_i\) is the angle of incidence
η\(_{coating\) is the index of refraction in outer coating ( material 2 )
θ\(_r\) is the angle of refraction
so we substitute our values into the equation;
η\(_{interior\) × sinθ\(_i\) = η\(_{coating\) × sinθ\(_r\)
1.55 × sin( 59.5° ) = η\(_{coating\) × sin( 90° )
1.55 × 0.861629 = η\(_{coating\) × 1
1.3355 = η\(_{coating\) × 1
η\(_{coating\) = 1.33 { 2 decimal places }
Therefore, the index of refraction of the coating is 1.33
Four landing sites are proposed for a lander. Data about the sites are listed in the table. A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1. 6, 3. 7, 1. 6, 3. 7. At which landing site would the lander have the greatest amount of gravitational potential energy? W X Y Z.
Answers
Answer:
its B just finished
Explanation:
Answer:
The answer above is correct! The correct option is B.
Explanation:
Just took the review on edge :)
Hope this helped - brainliest would be appreciated!
Have a great day everyone :D
A computational model predicts the maximum height that a roller coaster car can reach when the lowest height of its journey is at ground level, where it has a speed of 20 m/s. Given these conditions, what is the maximum height?(1 point)
196 m
4.8 m
20.4 m
2.0 m
Answers
Answer: 20.4 m
Explanation: \(\frac{9.8^{2} }{Velocity} = Max Height\)
The answers to this test are:
1. What is the maximum speed when the conditions are mass = 450 kg, initial height = 30 m, and the roller coaster car is initially at rest?
24.2 m/s
2. A computational model predicts the maximum height that a roller coaster car can reach when the lowest height of its journey is at ground level, where it has a speed of 20 m/s. Given these conditions, what is the maximum height?
20.4 m
3. A computational model predicts the speed of a roller coaster car at different heights given its speed at the lowest height of its journey, which is at ground level. The speed at the lowest point is 30 m/s. What is the prediction for its speed when it is at a height of 20 m?
22.5 m/s
4. A computational model predicts the maximum potential energy a roller coaster car can have given its mass and its speed at the lowest point of its journey. Its mass is 350 kg, and it speed at a height of 0 m is 25 m/s. What is the prediction for its maximum potential energy?
109,375 J
5. What is the benefit of using simple computational models in a spreadsheet application, like the one used in this course, to predict mechanical energy and related values?
It is easy to calculate new scenarios.
What is torque in vector form?
Answers
In vector form, torque is the cross product of distance vector(from the rotation axis to the point of application of force) and the force vector.
Torque can also be defined as the turning effect of force, which is also called the moment of forces. As force causes an object to accelerate in linear direction, similarly torque causes an object to acquire angular acceleration. It is a vector quantity. Torque is also defined as the cross product of force vector and distance vector(distance from the axis). The formula of Torque is as follows:
T = F × R × sinθ
Where F is the force, R is the radius of rotation, and θ is the angle between both vectors. Its SI unit will be Newton-meter.
To know more about torque, here
https://brainly.com/question/25708791
#SPJ4