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
Calculate a value of R, specific gas constant for air, from the values you have.
Also calculate the work done in the compression process.Homework Equations
Pv = RT
ρair = 1.2 kg/m^3The Attempt at a Solution
Have P,V and T data from an adiabatic compression. I think I need...
Hey,
I've been working on this problem, it starts by asking for the potential, then from that the electric field, and finally it asks to calculate the work required to move a charge from infinite to the point it was originally.
It's a 2D problem so the electric field was E = (Ex,Ey) and the...
Homework Statement
In calculus, the work done when a gas expands from volume V1 to volume V2 is given by
W = ∫V2V1 P dV
Use this expression to show that the work done by n moles of gas at temperature T during an isothermal expansion from volume V1 to V2 is
W = nRT ln(V2/V1)
Homework...
Topic : Direction of the work done by force of friction
Consider a case when a block is placed on a horizontal platform at rest. It then starts accelerating with a constant acceleration such that,
Friction present between the block and the horizontal platform > mass times its acceleration...
i'm trying to figure out the work done by a parachute to slow down a car and so far i have come up with:
W = F_{d} * d
F_{d} = C_{d} ρ A_{f} V^{2}/2
and i have equated the loss of kinetic energy to the work done by the parachute, since the velocity is not constant and therefore the work...
Energy is the capacity to do work. So if I have energy I can do work. But if a rock has 100J from falling down a building to push a pillar into the ground, it might not have enough energy to have any work done to push it in. So what happens to that 100Js? Ignoring air resistance. Since energy...
Homework Statement
The force on a particle is directed along an x-axis and is given by F = F0(x/x0 - 1).
Find the work done by the force in moving the particle from x = 0 to x = 2x0
Homework Equations
The Attempt at a Solution
It looks like the force is a recurrence relation or...
Homework Statement
A skier starts from rest on a 20m high, 20° slope. μk=0.210
Find the horizontal distance traveled by the skier.
From this, for the equations below we know that:
yf = 0
vi = 0
vf = 0
Homework Equations
Wnet = Wnc + Wg = ΔKE
Wnet = -fkd
Wnc = ΔKE + ΔPE
Wnc = ΔKE + mg(yf - yi)...
Homework Statement
What is the minimum work needed to push a 900 kg car 880 m up along a 9.5° incline? Assume the effective coefficient of friction retarding the car is 0.20. Homework Equations
W = F * d * cos (θ)
Normal Force - mg * cos (9.5°)
Force of kinetic friction = μ * Normal Force...
Homework Statement
A 265-kg load is lifted 24.0 m vertically with an acceleration =0.190 g by a single cable.
Determine the work done by gravity on the load.
Homework Equations
Force of Gravity = mg
W = F * d * cos (theta)
The Attempt at a Solution
I think I know why I did...
Homework Statement
A 6.8-nF parallel plate capacitor with a sheet of Mylar (κ = 3.1) filling the space between the plates is charged to a potential difference of 160 V and is then disconnected. (The initial capacitance including the dielectric is 6.8 nF.)
(a) How much work is required to...
Homework Statement
I was asked to find the distance a particle had traveled and was given its integral solved, except the upper limit was an equation.
(x^2+2x) is the force in pounds that acts on the particle
Homework Equations
\int_{0}^{x^2+2}(x^2+2x)dx = 108
The Attempt at a...
Homework Statement
A train with a mass of 250 tonnes starts from rest and accelerates up an incline of 1 in 100 attaining a speed of 45 Kph after traveling 200m. If the frictional resistance to motion is constant at 30KN calculate the work done by the engine using the principle of conservation...
Ok here's the question:
A body m is attached to a spring with spring constant k. While the body executes oscillations it also experiences a damping force F = -βv where 'v' is time derivative of displacement of the body from its equilibrium position.
I believe equation of motion is F =...
Homework Statement
I ask this because my initial assumption was that work done by a non-conservative force (friction in this case) is also equal to thermal energy. However, in my book, it gave an equation with W = Emec + E thermal. They also had an example where they added up the work and...
I need to calculate the work done by an electric motor when it has a pulley wheel on the end but nothing on the pulley wheel. I know work done = force x distance. And of course force = mass x acceleration. But I cannot for the life of me think of how I am going to work out the acceleration? or...
Homework Statement
A 4.63-kg ball of clay is thrown downward from a height of 2.69 m with a speed of 5.01 m/s onto a spring with k = 1610 N/m. The clay compresses the spring a certain maximum amount before momentarily stopping.
b) Find the total work done on the clay during the spring's...
Homework Statement
We must apply a force of magnitude 80N to hold the block stationary at x = -2.0cm. From that position, we then slowly move the block so that our force does +4.0J of work on the spring-block system; the block is then again stationary. What is the block's position? (Two...
Homework Statement
A 80-kg block is pulled across a rough surface a distance of 1.25 metres. How much work was done in moving it? The coefficient of static friction was 0.3 and kinetic friction was 0.2. Assume the velocities were very low.
Homework Equations
W = fd
??
The Attempt at...
Homework Statement
Consider a system of “free” charges {qi } and “bound” charges {Qi }. Both types of charges feel the Coulomb force due to all other charges (free and bound). However, the bound charges feel additional “mechanical” forces due to the other bound charges. Let the mechanical...
Hi
We all know that work done corresponds to energy used and calculated as force*distance
So if we are pushing against a wall, it does not count as work done, as there is no motion
However, aren't we still wasting energy when we are pushing against a wall? Since a certain amount of energy is...
An external force moved a positive test charge from A to B where B is closer to the centre of the field. Therefore, the force exerted by the field is from A to B.
The textbook is saying the work done is negative. But the external force moved the charge against the electric field strength as if...
Homework Statement
Two point charges of magnitude +10 μC each are placed 0.2 m away from each other.
a) How much work is done in placing the second charge?
b) Is there any point at which the electric field and electric potential are both 0?
Homework Equations
Work = (charge of first...
Hello,
I have become very confused after i tried to solve this question.
A rope pulls a 2 kg object straight up, accelerating it from rest at 2.2 m/s^2 for 3 seconds.
they want the work done by each force acting on it.
Ok i found the displacement as 9.9 m up. Then i found out that the...
Homework Statement
I want to start by saying that my instructor is a particle physics guy. He loves to talk about particles seems to want to rush through fluids and thermo so he can get to particles and the 'real modern physics.' He is skipping, skimming and not really covering a lot of this...
just a query about last part of a question.
a mass m hangs at end of light string and is raised vertically by an engine working at a constant rate kmg.at t=o,velocity =0 x=0 and x is measured in upwards direction.
now i have shown increase in total energy of the mass, when moved up a...
I learned Potential but could not understand what Potential Difference is. Some define it as Work Done per unit charge. I am confused what per unit charge is. Does that mean electrons or protons ? As much as I know, electric current is the flow of negatively charged electrons to the positive...
Hi all.
I am trying to learn more on physics, and am at the subject on calculating work done. The formula to calculate work done is Work done = Force * Dislacement * consine(theta).
I am on a question which explains: a 100N force is applied at an angle of 30 degrees to the horizontal to...
Homework Statement
A fixed mass of an ideal gas undergoes a cycle PQRP of changes as shown in the following figure:
Some energy changes during the cycle PQRP are shown in the following figure
Complete the Figure
Homework Equations
Find the work done on gas from R to P
The Attempt at a...
Homework Statement
Homework Equations
W = \int F dx
For density of water i used
D = 62.4lb/ft^3
g = 32.2 ft/s^2
g(D = \frac{m}{V})
gDV = mg
gDV = F
The Attempt at a Solution
i use limit from 0 to 6
W = \int_{0}^{6} F dx
W = \int_{0}^{6} gDV dx
W = \int_{0}^{6}...
Homework Statement
Problem with picture attached
I need help on 24. **24 is a continuation of 23 so use the same dimension except for the distance...
Or you can go here http://college.cengage.com/mathematics/blackboard/content/larson/calc8e/calc8e_solution_main.html?CH=00&SECT=a&TYPE=se...
Homework Statement
A wagon is drawn by a student pulling with a constant force of F Newtons applied at an angle of θ° to the horizontal. If the wagon is drawn in a circle with radius r meters, how much work is done on the wagon? (I don't remember the actual numbers)
Homework Equations...
Homework Statement
Find the work done along the semicircle (x-1)2+y2=1 from the point (0,0,0) to (2,0,0)
When F=r3cos2φsinφ\hat{r} + r3*cosφ*cos(2φ) \hat{φ}Homework Equations
Work
W=∫F*dr
where dr=dr= dr\hat{r} + rsinφdφ\hat{φ}
The Attempt at a Solution
I convert the equation of the line...
[b]1. Find the work done by the force F=r3*cos2\varphi*sin\varphi*\hat{r} + r3*cos\varphi*cos(2\varphi) \hat{\varphi}
from the point (0,0,0) to (2,0,0)
Homework Equations
Work=\int F*dr
where dr= dr\hat{r} + rd\varphi\hat{\varphi}The Attempt at a Solution
When muliplying the line element, dr...
Homework Statement
What is the net work done if an object is raised 5m, carried horizontally 8m, lowered 2m, and then lowered 3m if there is no friction?
Homework Equations
W=F x d (force times distance)
work done overcoming gravity: W=mgh (mass times gravity times...
Show that the work done by the driver plate during a stress accumulation phase is W=\frac{2m2g2fd}{k}(fs-fdI'm not sure where to start with this. I am given several equations but can't reach the desired equation.
Fn=ρghA
m=ρA3/2
θ=\frac{fs}{fd}
X=\frac{xG}{2fsρghA1/2}...
Homework Statement
a reservoir shaped like a right circular cone, point down, 20ft across the top and 8 ft deep, is full of water. how much work does it take to pump the water to a level 6ft above the top?
Homework Equations
The Attempt at a Solution
so i placed the cone with the...
Homework Statement
Calculate the work done by air, when it pushes water out of a barrel (cylindrical), that is 1m in diameter. The starting water level was 80 cm from the bottom of the barrel and the water level at the end was 20 cm from the bottom. The water was pushed out through an...
Homework Statement
The figure shows a thermodynamic process followed by 130 mg of helium. How much work is done on the gas during each of the three segments?
p_1 = 1.08 atm, p_2 = 5.41 atm, p_3=1.08 atm
T_1=133 C, T_2=T_3=1760 C
V_1=V_2=1000 cm^3, V_3=5000 cm^3
These are answers...
Homework Statement
A particle of (positive) charge Q is assumed to have a fixed position at P. A second particle of mass m and (negative) charge -q moves at constant speed in a circle of radius r1, centered at P. Derive an expression for the work W that must be done by an external agent on...
It isn't actually homework, it was just a problem proposed and then the answer was also given, but I don't understand it and I would like some help in trying to understand.
Homework Statement
In a cylindrical container the water level is at 30 cm. If you float a glass bowl in it, the water...
Homework Statement
A satellite in a circular orbit around the Earth with a radius 1.011 times the mean radius of the Earth is hit by an incoming meteorite. A large fragment (m = 83.0 kg) is ejected in the backwards direction so that it is stationary with respect to the Earth and falls directly...
Homework Statement
Consider the vector field
F = r/|r|^p = <x,y,z>/|r|^p
where p>1. Let C be the line from point (1,1,1) to the point (a,a,a) for a>1.
(a) Compute work done in moving an object along C.
(b) Find the limit a->infinity (that is, the work done in moving an object to...
Homework Statement
An angler hangs a 5.50 kg fish from a vertical steel wire 1.30 m long and 4.32×10^-3 cm in cross-sectional area. The upper end of the wire is securely fastened to a support.
Calculate the amount the wire is stretched by the hanging fish. (I found this to be 8.11x10-4 m)...
Homework Statement
It takes 139 kJ of work to accelerate a car from 22.8 m/s to 27.7 m/s. What is the car's mass?
Homework Equations
Well, we know that work is also known as J and J is = to kg*m^2/s^2 so we can use the equation J = m(vf - vi) to solve this I think.
The Attempt at a...
The work done by the frictional force on a surface in drawing a circle of radius r on the surface by a pencil of negligible mass with a normal pressing force N(co-efficient of friction μ) is ?
my textbook says it is zero but i don't understand it why.
Homework Statement
There are two infinitely long wires A and B, each carries a current of 1 Amp in the same direction. The two wires are 4m apart.
a) Calculate the magnetic field created by the currents in the two wires at points C and D. Point D is 1m away from wire A and point C is 2m away...
Hi, just wanted to ask a simple question:
In the following equation:
Work done by gas = Pressure x Change in volume
does pressure refer to the pressure of the gas (that is doing the work), or does it refer to the external pressure (i.e. pressure of the surrounding gas)?
I've heard...
Homework Statement
That's a graph of Force in Newtons (y axis) vs displacement in meters (x axis) for an object of mass 3.0kg that is moving along the x-axis and initially starts at rest. I am being asked to find the total work done on the object as it moves from x = 0 to x = 7...