In physics, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, it is often represented as the product of force and displacement. A force is said to do positive work if (when applied) it has a component in the direction of the displacement of the point of application. A force does negative work if it has a component opposite to the direction of the displacement at the point of application of the force.
For example, when a ball is held above the ground and then dropped, the work done by the gravitational force on the ball as it falls is equal to the weight of the ball (a force) multiplied by the distance to the ground (a displacement). When the force F is constant and the angle between the force and the displacement s is θ, then the work done is given by:
W
=
F
s
cos
θ
{\displaystyle W=Fs\cos {\theta }}
Work is a scalar quantity, so it has only magnitude and no direction. Work transfers energy from one place to another, or one form to another. The SI unit of work is the joule (J), the same unit as for energy.
Homework Statement
The unstretched length of a spring with 'k' = 250 N/m is 20 cm. A force 'F' is applied to stretch it to a length of 24 cm. How much work was done by 'F'?
Answer : 0.2 Nm
Homework Equations
F = k * delta x
Work = F * delta x
The Attempt at a Solution
[/B]
change in spring...
Homework Statement
Movers must push a piano onto a truck, the bed of which is a height 1.35 m above the ground. To do this they will use a frictionless ramp. If the piano has a mass of 1806.0 kg and the movers push it up the slope at a constant velocity, how much work do they need to do on it...
Homework Statement
I don’t understand why this would relate to cosine and not sine, if gravity is often assiciated in the up and down part of a free body diagram.
Homework Equations Wg=mgdcos(theta)[/B]The Attempt at a Solution
Is it because it would depend on your reference frame?
Homework Statement
you push a box out of a carpeted room and along a hallway with a waxed linoleum floor. While pushing the crate 2 m out of the room you exert a force of 34 N; while pushing it 6 m along the hallway you exert a force of 13 N. To slow it down you exert a force of 40 N through a...
Homework Statement
A force varies with time according to the expression F=aΔt, where a = 2.0 N/s.
From this information, can you determine the work done on a particle that experienced this force over a displacement of 0.50 m?
Homework Equations
W = F*d
Vf = Vo + aΔt
F = ma
The Attempt at a...
Hi,
today in lecture, we discussed the work done on inserting a dielectric between a capacitor.
Two cases of this example:
One case, where the battery is disconnected so that the charge stays constant.
Other case where the battery stays connected so voltage is constant.
I am confused on...
if I apply a force constant F=100N en ##y## direction to a body of mass 2kg, it is elevated 3m and I know that the force of gravity is in ##y## direction too. What is the work that I did?
I think: ##W_{me}=(F_{me}-F_{g})\times 3## it is correct?
and the work made by gravity is "0".
Hi - I'm looking for some help with the solution of this problem
"A 1 kg block situated on a rough incline is connected to a spring with spring constant 100 Nm-1 as shown in Figure. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the...
Hi -
Question: A person trying to lose weight (dieter) lifts a 10 kg mass, one thousand times, to a
height of 0.5 m each time. Assume that the potential energy lost each time she
lowers the mass is dissipated. (a) How much work does she do against the gravitational
force ? (b) Fat supplies 3.8...
Homework Statement
The force on a particle is directed along an x axis and given by F = F0(x/x0 - 1) where x is in meters and F is in Newtons. If F0 = 1.5 N and x0 = 4.9 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m.
Homework Equations
F = force, w = work, x...
Homework Statement
There is an insulated internal combustion engine fueled by one mole of octane. It operates at a constant pressure of 5.0 bar. The initial temperature is 200°C. Calculate the heat exchanged with the surroundings, the Δh for the gas, the final temperature, the work performed...
Hello all. In his books on classical mechanics, David Morin claims that when computing the work W = F Δx done by a contact force that don’t involve any slipping, we can equivalently say that Δx is the displacement of the thing that is applying the force. Later, when analysing a wheel rolling...
Homework Statement
The question is:
One kilogram of a gas with a molecular weight of 35 is contained in a balloon. The initial conditions are 27 C and 0.025 m^3. The gas is slowly heated isothermally until the final volume is 0.05m^3. The atmospheric conditions are 100 kPa and 27 C. The p-v-T...
Homework Statement
[/B]
An ideal gas is compressed to the same volume from the same initial state for both an adiabatic and an isothermal process. In which case will more work be done ?
2. Homework Equations
##dU=dQ - dW ##
##W=\int P\,dV ##(For isothermal)
##W=nc_vdT##...
When an ideal gas,in a piston kind of system and whose equilibrium state is mentioned, is allowed to expand (piston is allowed to move and not gas leaking )against a constant external pressure very quickly, then, is the work done by gas zero or not zero ?
The argument for work being zero is...
Homework Statement
Homework Equations
Work Done=Force*Displacement in the direction of the force
The Attempt at a Solution
I tried to solve the problem this way,
I wrote these equations for the two masses,
T-mg=ma...(i)
Mg-T=Ma...(ii)
From (i)&(ii), T=[M(g-a)+m(a+g)]/2
and then I would...
Homework Statement
See question number 3
Homework Equations
Work Done="integral" F*ds
The Attempt at a Solution
I tried to solve this question using integration,
I have replaced F with "1" and ds with "t^2+2t".
So I am stuck in at that step.
Please help me differentiate it further or solve...
Homework Statement
See the explanation of work done by variable forces given in my textbook.
For calculation of work done by variable forces the author analyses only a small fraction of displacement "ds".
And then he makes **assumption** that the force is acting on the particle at an angle...
Depending on the answer to this question, I may have others.
Consider a one-dimensional ice rink. Rightwards is taken as the +x direction. A box of mass m slides leftward on the surface with a constant velocity v.
Two people go to opposite ends of the box and apply equal and opposing forces...
I would argue that if you are computing the work done by an expanding gas in a frictionless piston, in an irreversible expansion where the inner pressure is greater at all times than the (constant) outer pressure, that you should integrate the internal pressure over volume change, not multiply...
Homework Statement
Using the data presented in the accompanying pressure-versus-volume graph, estimate the work done (including the algerbraic sign) when the system changes from A to B to C along the path shown.
Homework Equations
The work done is the area from change in position and time...
In case of isobaric expansion, the system expands at constant pressure(the external pressure i.e. the resistance is constant.).In case of flow work, the fluid trying to exit the control volume, pushes against the pressure at the exit of the control volume or when entering the control volume, the...
Hello,
I am encountering some confusion understanding the difference in working with reversible and irreversible processes in thermodynamics. Let's say I have a process where an ideal gas at a certain starting temperature ##T_i## expands from volume ##V_i## to ##V_f##. The temperature of the...
Homework Statement
Homework EquationsThe Attempt at a Solution
Wspring = ∫-k*xdx
limits of integration are 12 and 0
So
[0 - .12^2/2]*172 = -1.24J of force
Getting 1.8/2 points for this anser
Homework Statement
If the height of a frictionless incline is h. Determine the work done by the force due to gravity F as the crate of the mass m slides down the incline
Homework Equations
W=Fd cos (theta )
Force due to gravity perpendicular to incline= mg cos(theta)
The Attempt at a...
Homework Statement
Homework Equations
##V=Ed##
##ΔU=ΔV Q##
The Attempt at a Solution
Since the electric field is constant between charged plate conductors , d and the potential difference (ΔV) don't change.So, the potential energy (ΔU) remain the same .
The answer is (C). Right ?
The Helmholtz function differential form for a reversible process is: dF = -SdT - PdV, as for a reversible process δW (by system/here an (ideal) gas) = PdV and dS = δQ/T.
Therefore, for a reversible isothermal process, dT = 0 and hence dF = -PdV. Therefore, the work done by the system is W =...
The other day I saw this question:
"A man carries a suitcase weighing 50kg over his head, and travels a distance of 15m along a horizontal direction. What would be the work done?"
My answer was:
"Suposse the height of the man is 1.8m. Then, the work done by the man, considering the...
Homework Statement
A uniform chain of mass 'm' and length 'l' rests on a rough incline (inclination is angle 'Q') with its part hanging vertically. The chain (inclined) starts moving up the incline (and the vertical part moving down) provided the hanging (vertical) part equals to 'n' times...
Homework Statement
Homework EquationsThe Attempt at a Solution
If the two blocks were to move together when the external force of magnitude mg is applied , the acceleration would be mg/3m = g/3 . This acceleration would have to be provided by friction . Value of friction should be mg/3 . But...
"A Carnot engine operates using a heat source at 500 °C, and a heat sink at room temperature (20 °C). Suppose that as a heat source, you use the combustion of 100 cubic feet of natural gas at room temperature and pressure (e.g. in a fuel cell of some kind). Under ideal conditions, what is the...
Hi guys.
Due to the reason that I do not have a great knowledge related to finance, I wanted to ask if someone can simply explain me how important is for the society, the work of the people that work in the finance.
How their job is useful for the people?
Thanks
Grands.
Homework Statement
Homework EquationsThe Attempt at a Solution
The work done is maximum in the path (3) as the area covered by this path is maximum.
Now, dU = dQ + dW, the work done is minimum in the Path (1) , so dQ should be maximum.
Hence, the correct options are A and C.
Is this correct?
Homework Statement
This is a conceptual question.
An ideal gas is compressed to half its initial volume by means of several possible processes. Which of the following processes results in the most work done on the gas? a) isothermal b) adiabatic c) isobaric d) The work done is independent of...
Hi everyone.
I've been doing a lot of reading regarding electric potential and electric potential energy. Unfortunately, I have a lot of confusion regarding this topic, as I keep receiving different information. My main confusion is regarding the signs, positive or negative, of work and it's...
Homework Statement
Homework Equations
The Attempt at a Solution
I do not understand why is mgh2 is being subtracted from the overall equation instead of added.
I am able to construct each of the work components but when building the overall equation I'm having a problem of understanding...
My chemistry course says that work done by the system is negative, but physics course says that work done by the system is positive, I'm sure I'm missing something and I really need to understand it. Thanks.
Homework Statement
A man pushes an 80-N crate a distance of 5.0 m upward along a frictionless slope that makes an angle of 30° with the horizontal. His force is parallel to the slope. If the speed of the crate decreases at a rate of 1.5 m/s2 , then the work done by the man is: (a) –200 J (b) 61...
Homework Statement
Homework EquationsThe Attempt at a Solution
I first said it's B, since force throws up = positive.
gravity down= also positive, please help asap thanks
Homework Statement
14.6 The coefficient of kinetic friction between the slider and the rod is μ, and the
free length of the spring is ##L_0 = b##. Derive the expression for the work done by
the friction force on the slider as it moves from A to B. Neglect the weight of the slider.
Homework...
Homework Statement
Derive the expression for the work done by the ideal spring on the slider when the
slider moves from A to B. Assume that the free length of the spring is (a) ##L_0 = b##;
and (b) ##L_0 = 0.75b##
Homework EquationsThe Attempt at a Solution
Can you check if my solution...
Homework Statement
The work done W by an expanding gas is calculated using W = pΔV. What must remain constant for this equation to be used?
a. The pressure of the expanding gas
b. The pressure of the surroundings
c. The temperature of the expanding gas
d. The temperature of the surroundings
e...
Hi, I have a homework and I kind of stuck on it. Here is the question:
A 17 kg object on a rough ramp (coefficient of friction = 0.35N, ramp's angle = 25 degrees) is connected to a vertically hanging object via a pulley with I = 23 kg m^2 and the radius is 0.25m. The hanging object had weight...
Homework Statement
The work done by an external force to move a -8.0 uC charge from point a to point b is 25*10^-4 Joules. If the charge was started from rest and had 5.2 * 10^-4 Joules of kinetic energy when it reached point b, what must be the potential difference between a and b?
Homework...
Homework Statement
as title
Homework Equations
force exerted by atmosphere on bubble = 2(on account of dual layer) * 2pi*r*L(surface tension)
work is the integral of force *dx
The Attempt at a Solution
so we're looking at int ( 4pi*r*L *dr) but since not it 1 particle is traveling against...
I am confused how a charge could have negative work done.
To clarify, I was doing a problem earlier in which a positive charge and negative charge are moving towards each other. I used the equation
work = Δv * q
And when I was doing this, the change in electric potential, Δv, was negative, and...