If a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb, then the potential energy of the loaded car at the top would be 652542.68 Joules.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
As given in the problem, for the roller coaster, a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb,
1 lb = 0.4536 Kg
1188 lb = 1188× 0.4536 Kg
=538.87 Kilograms
1 ft = 0.3048 meters
405 ft = 405×0.3048 meters
=123.44 meters
The potential energy of the loaded car at the top = mgh
=538.87×9.81×123.44
=652542.68 Joules
Thus, the potential energy of the loaded car would be 652542.68 Joules.
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Which of the following statements are possibly true about an object that is accelerating?
I. It is slowing down
II. It is changing directions at a constant speed
III. It is changing directions while slowing down
Question 10 options:
I only
I, II, and III
I and III only
II and III only
Answer:
II and III only
Explanation:
All III of those are true
A net force of 75 pounds acts on a body of 25 slugs. The body is initially at rest. What is its acceleration during the action of the force?
The correct answer is 0.91 m/[tex]s^2[/tex].
The pace at which a body increases its velocity is what is meant by the phrase "acceleration." It always moves in the same direction as the body when it moves.
The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.
Force F = 75 ponds = 33.62 N
initial velocity y =0
mass m = 25 slungs = 364.848 kg
time t = 12s
Acceleration of the body,
Acceleration = F/m
Acceleration = 333.62/364.848
Acceleration = 0.91 m/[tex]s^2[/tex]
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At the snail racing championship in England, the winner moved at an average velocity of 2.4 mm/s [fwd] for 140 s. Determine the winning snail’s displacement during this time interval.
Answer: 1.2 mm
Explanation:
Time= 140 sec
Initial Velocity= 0
Average Velocity= 2.4 mm/s
Displacement= 0.5* (2.4/140) *140 = 1.2 mm
What is the ratio of the nuclear densities of two nuclie having mass numbers in ratio 1:4
Answer:
[tex]1:1[/tex]
Explanation:
As the nuclear density is independent of mass number, so the ratio of nuclear densities of the two given nuclei is 1:1.Given:-
Two nuclei have mass number in the ratio of 1:4.To find:-
The ratio of nuclear densities of the two nuclei.Answer:-
The nuclear densities for all atoms is same and it doesn't depends on mass number.
So the ratio of the nuclear densities will be 1:1 .
[tex]\implies \underline{\underline{\green{ \rm Ratio= 1:1}}}[/tex]
_________________________________________
Additional information:-
Here I would be providing you the proof for the same .
Firstly we know that the volume of nucleus is directly proportional to its mass number ( Why ? because as the mass number increases , nucleons increases so volume increases) . Therefore;
[tex]\implies V = \dfrac{4}{3}\pi r^3 \\[/tex]
And ,
[tex]\implies V \propto A \\[/tex]
So ,
[tex]\implies \dfrac{4}{3}\pi r^3 \propto A \\[/tex]
[tex]\implies r^3 \propto A \\[/tex]
[tex]\implies r\propto A^{\dfrac{1}{3}} \\[/tex]
[tex]\implies r = r_0 A^{\dfrac{1}{3}} \dots\rm{(1)} \\[/tex]
where,
[tex]r_0[/tex] is a constant and its value is 1.2 fm .[tex] A[/tex] = Mass number[tex] r[/tex] = radius of nucleus.Now in order to find out the nuclear density , say [tex]\rho[/tex] ; we have ;
[tex]\implies \rho =\dfrac{Mass_{\rm nucleus}}{Volume_{\rm nucleus}} \\[/tex]
Now let's assume that there are m nucleons and their average mass number is A . So the average mass of m nucleons would be mA .
[tex]\implies \rho = \dfrac{mA}{ \dfrac{4}{3}\pi r^3}\\[/tex]
From equation (1) , we have ;
[tex]\implies \rho = \dfrac{mA}{\dfrac{4}{3}\pi (r_0 A^{\dfrac{1}{3}})^3} \\[/tex]
[tex]\implies \rho = \dfrac{mA}{\dfrac{4}{3}\pi r_0^3 A} \\[/tex]
[tex]\implies \underline{\underline{\green{\rho = \dfrac{3m}{4\pi r_0^3}}}} \\[/tex]
Now we can see that all the terms in the RHS of the equation are constants. This implies that nuclear density is also constant for all atoms independent of their mass numbers .
And we are done!
What has to be done to nitrogen to make it turn into a liquid?
Answer: Hot weather concreting
Liquid nitrogen has also been used as a method for cooling concrete for over twenty years. ...
LN is produced by compressing and cooling nitrogen gas to a point below its evaporation point of about − 196 °C [− 320 °F].
Explanation:
The position of a squirrel running in a park is given by r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. At t = 4.00 s , how far is the squirrel from its initial position?
The position vector is obtained as r = 1.12 k + 0.58 i + 1.22 j.
What is the position?Let us consider the movement of the squirrel. We know that the position of the squirrel is defined by the equation; r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. We can see that this equation is what defines the position of the squirrel in the three cartesian dimensions as shown in the question.
We now have the position as required at the instant where t = 4.00 s being obtained as; r⃗ =[(0.280m/s)(4)+(0.0360m/s2)(4^2) ]i+(0.0190m/s3)(4)^3j. We now finally obtain the position of the body as required as being;
r = 1.12 k + 0.58 i + 1.22 j
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the value of acceleration due to gravity on mars is about 3.7m/s2. how much will an object that weights 490 on earth weigh on mars
Answer:
185 units
Explanation:
Accel of gravity on Earth is 9.1 m/s^2
so weight on Mars would be a fraction of this
3.7 / 9.81 x 490 = 185 units
A ball is tossed upward. Neglecting air drag, the acceleration along its path is
In a classroom you were locked up with your classmates and the oxygen is running out of what would you do on that occasion?
Oxygen deficiency in closed spaces may not be noticeable, but this does not mean that it is not dangerous.
If we are locked up in a classroom with our classmates, then the reduction in oxygen levels in the classroom could be due to the continues respiration process being performed by all the living beings present in the classroom.
The very first thing we will do is to knock on the door—and knock hard—and will ask, “Is anyone there?" until we get a response from outside.
Also we can check for the window in the room, if it exists, then by breaking it from inside we can brake out of the room.
Also it is very important to stay calm and avoid freaking out on that occasion.
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A train starts from rest and accelerates uniformly until it has traveled 7.1km and acquired a forward velocity of 36m/s. The train then moves at a constant velocity of 36m/s for 2.1min. The train then slows down uniformly at 0.072m/s^2, until it is brought to a halt. How long does the entire process take (in min )?
The time taken is 369.23 s
Length is measured in distance. For instance, the length of a road is its distance. The most popular units of measurement for distance in the metric system are millimeters, centimeters, meters, and kilometers.
First, the train travels 2.1 kilometers.
then travels for 400 seconds at a steady speed of 24 m/s
Distance = V x t = 24 x 400 = 9600m, or 9.6 km.
then it decreases in speed from 24 m/s to 0
hence it requires
Vf- V0=at
0-24=-0.065 xt => t=369.23 s
that indicates that it will endure for
Distance = V0t+1/2 gt2 = 24 x 369.23 - 1/2 (0.065 x 369.23) = 8849.52m, or 8.8km
2.1 + 9.6 + 8.8 = 20.5 kilometers.
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How long does it take to drive at 8 m/s for 30 km (answer in seconds)
Answer:
60/80 x 30 = 1800/80 = 22.5 minutes. 22.5 minutes would be required to drive 30 km
Explanation:
1350 seconds
an image produced by a concave mirror of a focal length 8.7cm, the object is 13.2cm tall and at a distance 19.3cm from the mirror, (a) find the location and height of the image, (b) find the height of the image produced by the mirror if the object is twice as far from the mirror.
Answer:
what is the best result of
A person pushes on a stationary 125 N box with a force of 78 N at 30∘ below the horizontal, as shown in the figure. (Figure 1) The coefficient of static friction between the box and the horizontal floor is 0.72. What is the normal force on the box?
The normal force on the stationary box pushed by the person is determined as 108.25 N.
What is normal force?Normal force is defined as the force that any surface exerts on any other object.
Normal force acts in opposite direction to the weight of an object.
The normal force on the box is calculated as follows;
Fn = mg cosθ
Fn = W cosθ
where;
W is the weight of the objectm is the mass of the objectg is acceleration due to gravityθ is the angle of inclination of the planeSubstitute the given parameters and solve for the normal force on the box,
Fn = 125 x cos30
Fn = 108.25 N
Thus, the normal force on the stationary box pushed by the person is determined as 108.25 N.
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Newton’s universal law of gravity tells us that F = G(m1m2/d2). Newton’s second law tells us that a = Fnet/m.
(a) With a bit of algebraic reasoning show that your gravitational acceleration toward any planet of mass M a distance d from its center is a = GM/d2.
(b) How does this equation tell you whether or not your gravitational acceleration depends on your mass?
Describe how you can tell if an object is accelerating by observing its motion. Be sure to cover all cases.
If object is changing its direction or speed of the object is changing then the object is said to be accelerating
Acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing.
If an object is changing its velocity -whether the velocity is changing by a constant amount or by a varying amount a constant amount - then it is an accelerating object.
Since, acceleration is a vector quantity and vector quantity have both magnitude and direction , this implies that if the body is changing its direction then also the object is said to be accelerating.
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Expert help me
When firing a rifle, the bullet is shot at a high speed as the rifle recoils in the opposite directo How do you compare the force which they impart on each other? • How do you then explain the big difference in the velocities of two? Would you care to fire a rifle whose bullet is ten times as massive as the rifle? Why or why not?
Answer:
See below
Explanation:
The forces are equal but opposite directions
the velocities of the two differ because of the different masses of the two objects....the bullet is light compared to the rifle/shooter.
I would not want to fire a heavy projectile...the 'kick' or 'recoil' of the rifle would be quite large.....and painful!
2. (a) Joe walks a distance 28 meters in the +x direction, and then a distance 14 meters directed at an angle 25° above the +x axis. (i) Using a scale diagram, draw the displacement vectors for Joe's motion and label them A and B and also his total displacement from his initial position label it C.
Joe travels 28 kilometers in the direction of +x before travelling 14 metres at an angle of 25° above the +x axis.
Joe moves 6 m backwards throughout the entire excursion.
The parameters are as follows: Joe's initial location is x1 = 8 m, and his ultimate position is x2 = 2 m.
The alteration of an object's location is known as displacement. The shortest distance between the final location and the starting position is another way to express it.
Movement = x = x2 - x1
Make the forward motion negative.
Make the reverse direction positive.
Relocation = -2 - (-8)
Position = -2 + 8
displacement = 6 m in the reverse
Therefore, Joe moves 6 m backwards over the entire excursion.
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PLEAZE HELP
round correctly
When will you say a body is in Uniform acceleration and Non Uniform acceleration?
When body is changing its velocity at a constant rate then the body is said to be in uniform acceleration.
When a body is changing its velocity at different rates than my body is said to be moving with non uniform acceleration.
acceleration - The rate of change of velocity with respect to time.
It is a vector quantity.
a = dv / dt
SI unit is m/s²
direction of acceleration is the direction of change in velocity.
types of acceleration
uniform accelerationnon uniform accelerationinstantaneous accelerationWhen body is changing its velocity at a constant rate then the body is said to be in uniform acceleration.
When a body is changing its velocity at different rates than my body is said to be moving with non uniform acceleration.
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Complete the Aristotle quote:
"States of character arise from ______________."
A state of character arises from the repetition of similar activities
Aristotle was a renowned scientist and philosopher. He has made significant contributions to society. He is renowned for his quotable sayings as well. Because of the correlation between the states of character and the distinctions between them, the behaviors we display must be of a specific type. States of character: The traits that "allow us to stand well or poorly in relation to the passions." Because: We are not commended and criticized only for having the ability to feel pleasure, grief, etc., virtues are not capacities.
Here in this quote, similar behaviors give birth to similar states of character
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the briquette is better fuel than wood why give two reason
Compost briquettes decrease deforestation because they are less expensive than traditionally created charcoal made from wood.
What are the reason that briquette is better fuel than wood?A compressed block of flammable material, such as charcoal, sawdust, wood chips, peat, or paper, is called a briquette (sometimes written briquet) and is used as both fuel and kindling to start a fire.
Briquettes are similar to fast food in that they are readily available, inexpensive, and trustworthy; however, you really don't want to know what is in them.
Briquettes, as opposed to pure lump charcoal, are manufactured wood by-products that have been compacted with additives to make them easier to light and maintain a constant burn.
Therefore, The emission of extra greenhouse gases that contribute to climate change is prevented by the compost briquettes' increased efficiency and cleaner burning.
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A car was moving at 14 m/s. After 30 s, its speed increased to 20 m/s. What was the acceleration during this time?
Answer: 0.2 m/s²
Explanation:
Acceleration= (20-14)/30 = 0.2 m/s²
Naming lonic Compounds Practice
Write the name of the ionic compounds below:
1. KCI
2. MgO
3. K₂O
4. AlCl3
5. Cao
6. BaS
7 MẸCh
8. Al2S3
9. NaH
10. SrF₂
11. ZnS
12. Mgl₂
13. RbBr
14. Case
15. Al₂03
16. BaBrz
17. Na N
18. CsCl
19. Ca₂C
20. Mg3P₂
The name of the ionic compounds are
KCl - Potassium chlorideMgO - Magnesium oxideK₂O - Potassium oxideAlCl₃ - Aluminium chlorideCaO - Calcium oxideBaS - Barium sulfideAl₂S₃ - Aluminum sulfideNaH - Sodium hydrideSrF₂ - Strontium fluorideZnS - Zinc sulfideMgI₂ - Magnesium iodideRbBr - Rubidium bromideCaSe - Calcium selenideAl₂0₃ - Aluminum OxideBaBr₂ - Barium bromideNaN - Sodium azideCsCl - Cesium chlorideCa₂C - Calcium carbideMg₃P₂ - Magnesium phosphideIonic compounds that has only two types of elements are named by mentioning cation first followed by the anion name.
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Which point charge in diagram A
produces the strongest field?
Point Z produces is the strongest electric field.
A notion that gives a "map" of electric field lines was put out by Michael Faraday. The lines of the electric field are also known as lines of force since the electric field is the electric force per unit charge. The distribution of electric field lines also reveals the size or strength of the field. Lines are more closely spaced, therefore the electric field is stronger.
The lines are more dispersed at greater separations when the electric field is weaker. In general, it is true that areas with tighter field lines have a greater electric field. The number of lines per unit area traveling perpendicularly through a surface is proportional to the strength of the electric field regardless of the number of charges present.
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Two test charges are located in the – plane. If 1=−3.350 nC and is located at 1=0.00 m, 1=1.1600 m, and the second test charge has magnitude of 2=4.600 nC and is located at 2=1.100 m, 2=0.600 m, calculate the and components, x and y, of the electric field ⃗ in component form at the origin, (0,0). The Coulomb force constant is 1/(40)=8.99×109 N·m2/ C2.
E=15.23
Given:
Q=−3.350 nC
Position 1=0.00 m
Position 2=1.1600 m,
Second charge and location is 4.600 nC and is located at 2=1.100 m, 2=0.600
Formula :
E=kq/r^2
E=9×10^9×3.350×4.600/2^2=15.23 N/C
When charge is present in any form, an electric field is linked with each point in space. The value of E, also known as electric field strength, electric field intensity, or simply the electric field, expresses the magnitude and direction of the electric field. Knowing the value of the electric field at a place, without knowing what caused the field, is all that is required to predict what will happen to electric charges near that point.
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An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?
The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people
Hor to convert 175 centimeters to metersWe'll begin by converting 175 cm to m. This can be obtained as illustrated below:
100 cm = 1 m
Therefore,
175 cm = (175 cm × 1 m) / 100 cm
175 cm = 1.75 m
Thus, 175 cm is equivalent to 1.75 m
How to determine the number of people neededThe number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:
Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?Number of people needed = Height of tower / height of a person
Number of people needed = 553 / 1.75
Number of people needed = 316 people
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The displacement vector has scalar components of Ax = 80.0 m and Ay = 60.0 m. The displacement vector has a scalar component
of Bx = 60.0 m and a magnitude of B = 75.0 m. The displacement vector has a magnitude of C = 100.0 m and is directed at an angle of
36.9° above the +x axis. Determine which two of these vectors are equal.
Answer:
Vectors A and C are equal
Explanation:
If we have a certain vector [tex]\displaystyle \overrightarrow{A}[/tex], the components of the vector [tex]\displaystyle \mathrm {A_x\;and\;A_y}[/tex] are given by:
[tex]A_x = Acos\theta\\A_y=Asin\theta[/tex]
where
[tex]\textrm {$\theta$ is the angle formed by the vector on the x-axis}[/tex]
For vector A, we have Ax = 80m and Ay=60m
For vector C we have
Cx = |C| cosθ = 100 cos(36.9) ≈ 100 x 0.8 = 80m
Cy = |C| sinθ = C sin(36.9) ≈ 100 x 0.6 = 60m
So A and C are equal
We can eliminate B since Bx = 60 and Ax=80 so they cannot be equal
Which of the following quantities are scalars?
Answer:
Explanation:
Scalars: distance and work
the use of solar energy should be increase in the context of Nepal.justify the statement
Answer:
The solar potential in Nepal is 50,000 terawatt-hours per year, which is 100 times larger than Nepal's hydro resource and 7,000 times larger than Nepal's current electricity consumption. Solar can easily meet all future energy needs in Nepal. Solar energy is cheaper than fossil fuels, nuclear and hydro.
Explain how the water cycle follows the conservation of mass. Use details to support your response.
The water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed.
What is conservation of mass?Conservation of mass follows a rule which states that mass is neither created nor destroyed in chemical reactions. This simply means that for every chemical reaction, the mass of an element as a reactant will be the same at the end of the reaction.
From the given image, it can be observed that water can change its state from solid, liquid or gas in various phase transitions. These include the following:
Sublimation: Water changes from solid to gasDeposition: Water changes from gas to solid.Condensation: Here, water changes from Gas to liquid.Evaporation: Here, water changes from Liquid to gas.Melting: Here, water changes from Solid to liquid. Freezing: Here, water changes from liquid to solid.pTherefore, the water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed.
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Answer:
The water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed..
Explanation: