Determine the work done by the force Fx=(6x-4)N as the object moves from x1=0 to x2=3 m.
Answers
Answer:
15J
Explanation:
Let's assume force and motion have the same direction, so the dot product between the two reduces to the product of magnitudes.
If you studied calculus: [tex]w= \int \limits^3_0 6x-4dx[/tex], by definition. Some "easy" math, that's [tex](3x^2-4x)\limits^3_0=27-12 - 0 = 15 J[/tex]
Else. we have to take the long way. if the force was constant, and you plotted magnitude of the force vs position in a graph, you would get an horizontal line, and your work would be the area between the line and the x axis. And there is no reason why it shouldn't be the same for a variable force - if you think about it, it's the same way they justify the position formula for an accelerated motion. Let's graph it and start debating - sorry for my paint skills. We can easily say that in the green triangle the force is opposing the motion, so its work is negative, while in the blue area force and displacement go in the same direction, thus work is positive. Now it's just to calculate the area of two triangles
For the green one, it's a right triangle with side lengths 4 and 2/3, whose area is [tex]\frac12(4)(\frac23) = \frac43[/tex].
For the blue triangle, it's again a right triangle with side lengths 14 and 3-2/3= 7/3, whose area is [tex]\frac12(14)(\frac73) = \frac{49}3[/tex]
Our total work is the difference between the two, or [tex]w= \frac{49}3-\frac43 = \frac{45}3 = 15[/tex]
Related Questions
A helicopter travelling at a velocity of 15 m/s [W] accelerates uniformly at a rate of 7.0 m/s2 [E] for 4.0 s. What is the helicopter’s final velocity?
Answers
If we take West to be the negative direction, then the initial velocity is -15 m/s and the acceleration (which points East) is +7.0 m/s².
After t = 4.0 s, the helicopter's velocity is
-15 m/s + (7.0 m/s²) (4.0 s) = +13 m/s
or 13 m/s [E].
Please find attached photograph for your answer.
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Two illustrations labeled A and B. In Illustration A a hand is pushing on a mass labeled m that is connected to a spring and the spring is connected to a wall. In illustration B the spring is back to its normal length and the mass is moving away from the end of the spring at a velocity v. The position where the block started from is labeled x = 0. A spring attached to a mass is at rest in the initial position (not shown). The spring is compressed in position A and is then released, as shown in position B. Which equation describes conservation of energy in position A?
Answers
Answer:
The answer is (C) E= 1/2 kx^2
Explanation:
Answer:
ITS C JUST FINISH
Explanation:
the pressure inside a latex balloon is nearly the same as the pressure outside. if you let a helium balloon go, and if, as it rises, it stays at a constant temperature, the volume of the balloon will
Answers
Answer: If you let a helium balloon go, and if, as it rises, it stays at a constant temperature, the volume of the balloon will. The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same total volume as the object.
If you let a helium balloon go, it rises, it stays at a constant temperature, the volume of the balloon will increases.
What is volume?A measurement of three-dimensional space is volume. Several imperial or US customary units, as well as SI-derived units (such the cubic meter and liter), are frequently used to quantify it quantitatively (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship.
The density for helium remains lower than that of air, therefore when the balloon is inflated with that as well, it rises. The atmosphere's pressure continues to drop as it rises, which causes the internal pressure to rise. The balloon's volume of the balloon will increase.
Therefore, the volume of the balloon will increase.
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What is the equation to calculate speed?
Answers
Answer:
the equation :-
speed = distance ÷ time
Speed = distance ÷ time
You can also write this as, s = d/t
Hope this helps!
A body moving with constant acceleration covers the distance between tu point 60m apart in 5s. Its velocity as it passes the second point is 15m/s. What is the acceleration?
Answers
Please find attached photographs for your answer.
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Question 2 (1 point)
Potential energy depends on...
Speed and velocity
Position or shape
Length and color
Density and volume
Answers
Answer:
potential energy depends on position or shape
Ryan and his dad go paintball img they 700 balls each how much did paintballing cost for the two of them
Answers
Answer:
We don't know how much it cost bc u didn't give us a number of how much one person cost or any details but if you add both of the balls together they have 1,400 balls
To calculate the cost of paintballing for Ryan and his dad, we need to know the cost per paintball. Once we have that information, we can multiply it by the total number of paintballs they used (700 balls each).
Let's say the cost per paintball is $0.50.
For Ryan:
Cost for Ryan = Cost per paintball × Number of paintballs used by Ryan
Cost for Ryan = $0.50/ball × 700 balls = $350
For his dad:
Cost for Dad = Cost per paintball × Number of paintballs used by Dad
Cost for Dad = $0.50/ball × 700 balls = $350
Total cost for both of them:
Total Cost = Cost for Ryan + Cost for Dad
Total Cost = $350 + $350 = $700
So, the total cost of paintballing for Ryan and his dad is $700, assuming the cost per paintball is $0.50.
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If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same
Answers
Answer:
a. increase
Explanation:
Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.
Which statements represent properties of intermolecular forces? Select all that apply.
1. As the temperature decreases, the kinetic energy of the particles increases, and the molecules will move more. This causes the
Intermolecular forces to decrease.
2. As the kinetic energy of the particles increase, the Intermolecular forces decrease. 3.As the distance between the particles decreases, the intermolecular forces Increase.
4. As the kinetic energy of the particles increase, the Intermolecular forces Increase.
Answers
Answer:
Two numbers
Explanation:
see it first
16g 2g/cm3 what is the Volume
Answers
Answer:
V = 1.25E-7 cubic meter
a cork floating in a beaker of water is attached to a spring, and the spring is attached to the bottom of the beaker. the spring pulls the cork farther below the water than it would be if it were just floating. what happens when we drop the beaker off a tall building?
Answers
Answer:
If we drop the beaker, due to inertia, the Cork will move upwards.
Option B is correct.
Explanation:
When we drop the beaker off a tall building, the cork attached to the spring moves in an upward direction.
What is spring force?Spring can be defined as a tool used for many purposes and its inertia is neglected by considering it is massless. When a spring is strained, undergoes displacement when it is compacted spring gets compressed but it can freely come to its equilibrium position.
Spring exerts an equal and an opposite force on a body that stretches or compresses it.
The Spring force formula can be written as:
F = k(x – x₀)
Where the spring force is F, xo is the equilibrium position, x is the displacement of the spring from the equilibrium position and the spring constant is k.
The negative sign shows that the spring force is a restoring force that acts in the opposite direction.
Therefore, the cork attached to the spring moves up when we drop the beaker off a tall building.
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Which country is considered to have one of the best ski teams in the world?
Answers
Answer:
France
Explanation:
France is the undisputed champion in the world of skiing.
1+1 =?
2+2=?
3+3=?
1+1 =?
2+2=?
3+3=?
Answers
Answer:
here is your answer
1+1=2
2+2=4
4+4=8
a ______ is a push or pull that acts on an object
Answers
Answer:
A force is a push or pull that acts on an object.
:)
Answer:
force
Explanation:
It's unit is in Newton
what are the three different ways to tell the difference between a solar and lunar eclipse?
Answers
Answer:
Solar eclipses occur when the Moon passes between Earth and the Sun, leaving a moving region of shadow on Earth's surface. Lunar eclipses occur when Earth passes between the Sun and the Moon, casting a shadow on the Moon. This is an annular eclipse.
(credits to "britannica")
Explanation:
A person drops two objects from the same height. One object weighs 15 N, and the other weighs 10 N. How does the mass of the objects relate to the force of gravity on them? A. The 10 N object has the same mass as the 15 N object. B. The 10 N object has more mass than the 15 N object. C. The 15 N object has twice the mass of the 10 N object. D. The 15 N object has more mass than the 10 N object. SUR
Answers
Answer:
Your answer would be D :)
Explanation:
An object with a higher mass will always fall faster due to gravity acting upon it. 15 N is more massive than the 10 N object, so statement D is correct.
If you took a balloon of gas and then warmed the balloon in a sunny window, what can now be said about the density of the gas in the balloon
Answers
Explanation:
The density of the gas in the balloon will explode
The acceleration of an object is inversely proportional to its mass, so if you decrease its mass while keeping the net force the same, the acceleration will increase.
true or false
Answers
Answer:
True
Explanation:
Since acceleration is inversely proportional to mass, decreasing mass will make the object lighter, and thus easier to speed up. So acceleration increases as mass decreases and vice versa
Answer: TRUE Explanation:Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
What is meant by collisions?
Answers
Answer:
come into conflict or opposition.
"in his work, politics and metaphysics collide
It could mean, “an instance of one moving object or person striking violently against another.”
Nick is so excited to Trick-or-Treat, he RUNS down the street to the house that has the BIG candy bars! He ran 203 meters. It took him 40 seconds to arrive at the "big candy bar" house. What was his average speed?
Help- I don't know how to answer this science question (yes, it's science/physics. )
Answers
Answer:
it would take him 1 minute to run 304.5 meters and 1 second to run 5.075 meters
Explanation:
Jefferson refers to
_____ rights in the Declaration of Independence.
Explain what these rights are:
Answers
Answer: natural
Explanation:
Answer:
natural i just copy tha answer in there i just explain it(づ￣ 3￣)づ
Explanation:
The meaning of the term “Pursuit of Happiness.” In the Declaration of Independence, Thomas Jefferson announced that every human being has “certain unalienable rights,” among which are those to “life, liberty, and the pursuit of happiness.” What did he mean by “the pursuit of happiness”?
What is the only force that can overcome the repulsion between two positively charged nuclei to bind them into an atomic nucleus
Answers
Answer:
Nuclear Fusion
Explanation:
At large distances, two nuclei repel one another because of the repulsive electrostatic force between their positively charged protons. If two nuclei can be brought close enough together, however, the electrostatic repulsion can be overcome by the attractive nuclear force, which is stronger at close distances.
11. A box with a mass of 1.0 kg is resting on a horizontal surface and the coefficient of friction between the block and the surface is 0.20. It is accelerated by attaching a 1.5 kg mass, as shown in the diagram. Assume that the pulley is frictionless and that the cord has negligible mass.
a. What is the acceleration of the box? What is the tension?
Answers
Answer:
We know that the force pulling the box in the positive x direction has a magnitude of m g sin 30 . Using Newtons Second Law, F = ma , we just need to solve for a :
ma=mgsin30
a=gsin30
=(10m/s2)(0.500)
=5m/s2
Answer:
A force is applied acting to the right. Assume that friction is negligible. Ikg 0.5N. For each question, one or more features of the system.
Explanation:hope this helps
Do distance and Gravity have a _____ relationship?
Answers
Answer:
proportional...?
Explanation:
not sure if thats correct...
hope this helped tho
try your best!
mark me brianliest :D
Q2) You pick up some nails with your fingers from a pile of nails and find that they appear to stick together. Are they made out of iron or steel? Explain your answer.
Answers
Answer:
Iron is correct answer. ... Since Magnet is also made up of Iron, Nickel and Cobalt. Therefore, it attracts iron towards it.
when calculating the binding energy, what is z multiplied by?
Answers
When calculating the binding energy, z multiplied by the sum of mass of proton and mass of electron.
What is z in binding energy?Z in binding energy calaculation is the number of protons in the nuclides.
Formula for binding energyTo calculate the binding energy we use the formula below;
E = Z (mp + me) + Nmn − mn
Where;
Z is the number of protons in the nuclides N is the number of neutronsmp is mass of protonme is mass of electronThus, when calculating the binding energy, z multiplied by the sum of mass of proton and mass of electron.
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Find the volume occupied by 0.060 moles of CO2 at rtp
Answers
Answer:
At STP,
1 mole of oxygen occupies 22.4litres.
∴ 0.1 mole of oxygen will occupy = 0.1 × 22.4
= 2.24 litres.
Thus, the volume occupied by 0.1 moles of CO
2
at STP is 2.24 L
UV light has ______ wavelengths than visible light waves, and its peak energy is at a wavelength of ______.
Answers
Explanation:
Shorter wavelength since UV light has more energy than visible light
365 nm - What is the peak energy wavelength of UV light? It allows both infrared daylight and ultraviolet night-time communications by being transparent between 320 nm and 400 nm and also the longer infrared and just-barely-visible red wavelengths. Its maximum UV transmission is at 365 nm
When making a left turn, drive into the intersection, make the turn smoothly and without strain on the engine, braking to about ... to .........mph and stay on the brake until approximately half way into the intersection.
Answers
Answer:
whats the question
Explanation:
Find the gravitational potential energy of a body of mass 25kg,kept at a height of 4m If g=10m/s'.
Answers
Answer:
Explanation:E=mgh=25×4×10=1000J