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
2. Un niño hace girar con la mano una pelota de hule que se encuentra sujeta mediante un cordón de
0.75 m de longitud. Si la pelota da 0.7 vueltas a cada segundo, entonces,
a) ¿Cuál es el periodo de la pelota?
b) ¿Cuál es la velocidad lineal de la pelota?
Answers
Cuando el niño hace girar 0.7 vueltas por segundo una pelota de hule que se encuentra sujeta mediante un cordón de 0.75 m de longitud, tenemos que:
a) El periodo de la pelota es 1.43 segundos.
b) La velocidad lineal de la pelota es 3.3 m/s.
a) El periodo de la pelota está dado por:
[tex] T = \frac{2\pi}{\omega} [/tex]
En donde:
ω: es la velocidad angular
Dado que la pelota da 0.7 vueltas (revoluciones) cada segundo, la velocidad angular es:
[tex] \omega = \frac{0.7 \:rev}{s}*\frac{2\pi rad}{1 \:rev} = 4.40 rad/s [/tex]
Entonces, el periodo es:
[tex]T = \frac{2\pi}{\omega} = \frac{2\pi}{4.40 rad/s} = 1.43 s[/tex]
b) La velocidad lineal de la pelota se puede calcular usando la siguiente ecuación:
[tex] v = \omega r [/tex]
En donde:
r: es el radio de la circunferencia = longitud del cordón = 0.75 m
[tex]v = \omega r =4.40 rad/s*0.75 m = 3.3 m/s[/tex]
Por lo tanto, la velocidad lineal de la pelota es 3.3 m/s.
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What is electromagnetic force and how does it work and what it does??
Answers
Answer:
Explanation:
The electromagnetic force, also called the Lorentz force, acts between charged particles, like negatively charged electrons and positively charged protons. Opposite charges attract one another, while like charges repel. The greater the charge, the greater the force.
what will be the effect on gravitational pull between two objects of medium between them is changed
Answers
Answer:
force of gravitational attraction between them also decreases.
Explanation:
force of gravitational attraction between them also decreases.
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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A car accelerates from 20m/s to 25m/s in 4s as it passes a truck. What is the distance travelled?
Answers
Answer:
afcorse 1 miles
Explanation:
yep plz make me the brainliest
The distance travelled by car is displacement which is
What is displacement?Displacement is defined to be the change in position of an object.
[tex]s=\frac{1}{2} (v+u)t[/tex]
[tex]s=\frac{1}{2} (25+20)4\\s= 90 m[/tex]
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A source produces 25 waves every second. The wavelength of the waves is
50 cm. How fast will the waves be travelling?
Answers
Answer:
1 s
Explanation:
The speed of the sound, distance travelled and the time taken relationship is given as follows.
Speedofsound,v=Distancetravelled×Timetaken ----eqn 1
With the given values of wavelength = 50 cm = 0.5 m and frequency =1000 Hz, the speed of the wave is calculated as follows.
Speedofsound,v=Frequency(ν)×Wavelength(λ) -- eqn 2
That is, v=ν×λ=1000Hz×0.5m=500m/s
Substituting the value of the speed of sound in eqn 1 gives the time taken for the sound wave to travel a distance of 500 m.
That is, Timetaken=
Distancetravelled
Speedofsound
=
500m
500m/s
=1second.
Hence, the time taken for the sound wave to travel is 1 second.
The speed with which the waves will be travelling is 12.5m/s.
Given the data in the question;
Frequency; [tex]f = 25\ waves\ per\ second = 25s^{-1}[/tex]Wavelength; [tex]\lambda = 50cm = 0.5m[/tex]Speed of the wave; [tex]v =\ ?[/tex]
To determine how fast the waves will be travelling, we use the expression for the relations between wavelength, frequency and speed of wave.
[tex]\lambda = \frac{v}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed of wave
We substitute our values into the equation
[tex]0.5m = \frac{v}{25s^{-1}} \\\\v = 0.5m * 25s^{-1}\\\\v = 12.5ms^{-1}[/tex]
Therefore, the speed with which the waves will be travelling is 12.5m/s.
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An object's inertia causes it to come to a rest position.
Answers
Answer:
no
Explanation:
the inertia of an object does not make it to come to rest, this is normally caused by friction
A measuring cylinder contains 80 cm3 of a certain liquid. The liquid is poured
into an empty beaker of mass 48 g. The total mass of the beaker and the liquid
was found to be 136 g.
(a) Calculate the mass of the liquid in grams.
(b)Calculate the density of the liquid in gcm-3
Answers
Answer:
1.5 g/cm
3
Let d be the density of fluid.
So , Initial reading of balance, F
1
=30dg N
After the level reaches 50cm
3
Final reading of balance , F
2
=50dg N
Given that difference between final and initial reading is 30g
i.e, F
2
−F
1
=30 g
⟹50dg−30dg=30g
⟹20dg=30g
⟹d=
20g
30g
⟹d=1.5g/cm
3
So, density of fluid is 1.5g/cm
3
answer with proper explanation
Answers
Answer:
B
Explanation:
Moment = force * perpendicular distance
Since the beam is balanced(equilibrium), the 2 moments will be equal.
30 * P = 70 * Q
The 2 combinations which achieve this equality is P = 21 and Q = 9
How much work must be done to stop a 925-kg car traveling at 95 km/h?
Answers
The amount of work done to stop the car is equal to 322,099.85 Joules.
Given the following data:
Mass = 925 kilogramsVelocity = 95 km/hConversion:
Velocity = 95 km/h = [tex]\frac{95 \times 1000}{60 \times 60} = 26.39 \;m/s^2[/tex]
To determine the amount of work done to stop the car, we would apply the work-energy theorem:
Note: The amount of work done must balance the kinetic energy possessed by the car due to its motion.
From the work-energy theorem, we have:
[tex]Work\done = \Delta K.E\\\\Work\done = \frac{1}{2} MV^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]Work\;done = \frac{1}{2} \times 925 \times (26.39)^2\\\\Work\;done =462.5 \times 696.4321[/tex]
Work done = 322,099.85 Joules
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A car was sitting in sunlight all day long. The heat that is now contained in the car was transferred to the car primarily by which of the following processes? Question 1 options: radiation conduction convection electrical energy transfer.
Answers
Solve this anyone please fast ..!
Answers
Answer:
Explanation:
Ax= 20*sin37
Ay =20*cos37
Bx=15*cos40
By = -15*sin40
Cx = -6*cos60
Cy = -6*sin60
Answer:
Ax = 12 cos 53
Ay = 12 sin 53
Bx = 15 cos 320 = 15 cos 40
By = 15 sin 320 = -15 sin 40
Cx = 6 cos 240 = -6 cos 60
Cy = 6 sin 240 = -6 sin 60
how many cubic objects of volume 2cm cube can be started in a room of dimension 2m by 3m by 4m
Answers
Answer:
12,000,000 boxes
Explanation:
the volume of the room can be found by using the equation for volume of a rectangular box:V=LxWxH
where:
L=2m
W=3m
H=4m
(it doesn't really matter which is which since it is multiplication)
when we multiply our values (2m*3m*4m) we get 24cubic meters
now we need to convert cubic meters to cubic centimeters
each cubic meter is 1,000,000 cubic centimeter we multiply 24 by 1,000,000 and we get: 24,000,000 cubic centimeters (cc)
dividing 24,000,000 by 2 (since each box is 2cc) we get 12,000,000
so, we know we can fit 12,000,000, 2 cubic centimeter boxes in this room
Lab report: Newton's Second Law
Answers
Answer:
Newton found the acceleration of a body to increase with force and decreases with mass
fore example : a equal force applied on two different things that one of thing is have 100kg and another have70kg but the acceleration is different because the bigger one accelerate slower than the smaller because
[tex]f = ma[/tex]
it is not 132m and plzz explain how the answer is 66m
Answers
Distance = 1/2 x velocity x time
Distance = 1/2 x 0.40 x 330
Distance = 66 meters
When you mix pigments together, why does the resulting color always look darker?
Answers
Answer:
because you are not only mixing the colors u are also mix the colors in side the colors for example if u take pink red and white and mix it with green blue and yellow it will make it darling because if the inside colors
The maximum allowable potential difference across a 250 mH inductor is 360 V . You need to raise the current through the inductor from 1.5 A to 2.5 A . What is the minimum time you should allow for changing the current?
Answers
This question involves the concepts of potential difference, inductance, and current.
The minimum time that should be allowed for the current to change is "0.694 ms".
The inductance of an inductor is given by the following formula:
[tex]E=L\frac{\Delta I}{\Delta t}\\[/tex]
where,
E = potential difference across the inductor = 360 volts
L = inductance of the inductor = 250 mH = 0.25 H
ΔI = change in current = 2.5 A - 1.5 A = 1 A
Δt = time required = ?
Therefore,
[tex]\Delta t = \frac{(0.25\ H)(1\ A)}{360\ volts}[/tex]
Δt = 6.94 x 10⁻⁴ s = 0.694 ms
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Can you please draw circuit diagram with 5 Ω resistor in series with bulb, switch and 12 V battery?
Answers
Answer:
Sorry for the bad drawing, as you have not specified whether is should be open switch or close I have drawn both
I hope it helps.
LED lightbulbs are the most energy efficient way to light your home, as they use _____ of the energy of a comparable compact fluorescent bulb.
Answers
Light - emitting diode lightbulbs known as LED lightbulbs are energy saving lightbulbs. They consume very small amount of energy compare to other lightbulbs. Therefore, LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.
There are varieties of different light bulbs. some of them are incandescent, compact fluorescent (CFL), halogen, and light-emitting diode (LED) to mention a few.
Before the advent of light - emitting diode (LED) bulbs, some of the bulbs consume a lot of energy. For instance, we have incandescent bulbs of 20 watts, 50 watts, 100 watts and even 200 watts.
But with the advent of light - emitting diode (LED) bulbs, consumers can save energy because light - emitting diode (LED) bulbs save a lot of energy and they are very bright.
We can therefore conclude that light - emitting diode lightbulbs known as LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.
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Which state of matter has molecules that barely move at all?
liquid
gas
solid
They are all the same.
Answers
Answer:
the answer is solid.
Explanation:
solid particles have a definite volume and shape therefore they cannot move are they are whole. the particles of solid are closely packed together, barely move, and barely vibrate.
for what angle of projetion is the range is maximum
Answers
Answer:
46 degrees
Explanation:
A student pushes on an object with a force of 6 newtons and the object does not move. what force does the object exert on the student’s hands?
Answers
Answer:
6 newtons
Explanation:
If it's an equal force exerted on the student's hands, the object will not move.
If a student pushes on an object with a force of 6 newtons and the object does not move then the force exerted by the object on the student’s hands would be 6 Newtons because the applied force is equal to the static frictional force until the object does not move.
What is friction?Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact
As given in the problem If a student pushes on an object with a force of 6 newtons and the object does not move then we have to find out the force exerted by the object on the student’s hands,
Force applied by the student of the object = 6 Newtons
The force exerted by the object on the student's hand = 6 Newtons
Thus, the force exerted by the object on the student’s hands would be 6 Newtons
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Terri is excited about the baby she is carrying in her womb. One day, she tells her
cousin that the child is now the size of a grape. Weeks later, she describes the child as
the size of an apple. A few weeks after that, she describes the child as the size of a
banana. "Seriously, Terri, are you having a baby or shopping for groceries?" asks her
cousin. Terri explains that this is just the easiest way to describe the size of the baby
now that it is a(n)
Zygote
O Fetus
O Embryo
Infant
Answers
Answer:
Fetus
Explanation:
the outsiders I got nuggets out of the elder and I get to make it in and I got I got
PLEASE ANSWER ASAP!!
Which part of the graph represents how much energy the reactants need to gain to become products? F Potential energy HA Н G Reaction progress
A. H minus F
B. H
C. G
D. F
(NO LINKS)
Answers
Which of the followng is Newton's Second Law?
a. An object in motion will stay in motion unless acted upon by an unbalanced outside force
b .Force = mass times acceleration
c.When one object puts a force on the another object, the second object puts a force back on the first, equal in magnitude and opposite in direction
Answers
Answer:
A
Explanation:
explique ¿por que un objeto que tiene energía es capaz de realizar un trabajo?
Answers
Translation: Al golpear otro objeto que se puede mover libremente, el objeto en movimiento puede ejercer una fuerza y hacer que el segundo objeto cambie de posición. Mientras el objeto se mueve, tiene la capacidad de realizar un trabajo. Energía significa la capacidad de realizar un trabajo, por lo que todas las cosas en movimiento tienen energía en virtud de su movimiento.
An object's _____ energy that is used to perform work is equal to its potential energy plus its kinetic energy.
Answers
13. A ball is dropped. According to Newton's Third Law, the action force is the
earth pulling the ball, and the reaction is:
Answers
Answer:
the ground when the ball hits it
Explanation:
A ball falls freely towards the Earth. If the action force is the Earth pulling down on the ball, then identify which of the following best describe the reaction force:
a device that converts mechanical energy into electricity is a
Answers
Answer:
An electric generator is a device that converts a form of energy into electricity.
Explanation:
What is the best reason astronomers have come up with to explain why sunspots are cooler and look darker
Answers
Answer:
Sunspots are places where the strong magnetic fields in the Sun resist the upward motion of bubbling hot gases from underneath
Explanation: