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Recent questions tagged work-done-by-a-variable-force

A gas in a piston cylinder assembly undergoes an expansion process where $PV^{1.5}$=constant.The initial pressure is 3 bar,the initial volume is $0.1m^3$ and the final volume is $0.2m^3$.Determine the work done for this process.

asked Sep 1, 2014 by sreemathi.v

1 answer

We have a cable that weighs 2lbs/ft attached to a bucket filled with coal that weighs 800lbs.The bucket is initially at the bottom of a 500 ft mine shaft.Determine the amount of work required to lift the bucket to the midpoint of the shaft.

asked Sep 1, 2014 by sreemathi.v

1 answer

A particle of mass 0.5 kg moves on the positive $x$-axis under the action of a variable force $\large\frac{40}{x^2}$ newtons,directed away from origin..The particle passes through a point 2 metres from origin,with velocity $8ms^{-1}$ away from origin. Its experiences a constant resistance force of 6 newtons. Find the speed of the particle when it is 5 metres from origin.

asked Sep 1, 2014 by sreemathi.v

1 answer

Find the work done by F as it moves from a to b.

asked Sep 1, 2014 by sreemathi.v

1 answer

A 106g bullet is fired from a rifle having a barrel 0.441m long.Assuming the origin is placed where the bullet begins to move,the force exerted on the bullet by the expanding gas is $F=a+bx-cx^2$,where $a=13500N,b=8170N/m,c=24000N/m^2$,with $x$ in meters.With what velocity does the bullet exit the barrel?

asked Sep 1, 2014 by sreemathi.v

1 answer

A 106g bullet is fired from a rifle having a barrel 0.271m long.Assuming the origin is placed where the bullet begins to move,the force exerted on the bullet by the expanding gas is F=a+bx-cx$^2$,where a=13500N, b=8170N/m,c=24000N/m$^2$,with x in meters.Determine the work done by the gas on the bullet as the bullet travels the length of the barrel.

asked Sep 1, 2014 by sreemathi.v

1 answer

Force $F=(3x^2N)i+(4N)j$ acts on a particle changing only the kinetic energy of the particle.How much work is done on the particle as it moves from coordinates (2m,3m) to (3m,0m)?

asked Sep 1, 2014 by sreemathi.v

1 answer

What work is done by a force $F=(2xN)i+(3N)j$,with $x$ in meters,that moves a particle from a position $r_i=(2m)i+(3m)j$ to a position $r_f=-(4m)i-(3m)j$?

asked Sep 1, 2014 by sreemathi.v

1 answer

A particle moves along the $x$-axis from $x=0$ to $x=1$ under the influence of the force $F=(1+x^2)^{-1}$.Find the work done by this force.

asked Sep 1, 2014 by sreemathi.v

1 answer

A force $F_x$ acts on a particle.The force is related to the position of the particle by the formula $F_x=Cx^3$,where $C$ is a constant.Find the work done by this force on the particle when the particle moves from $x=1.5\;m$ to $x=3\;m$.

asked Sep 1, 2014 by sreemathi.v

1 answer

Work done in time t on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_1$ as a function of time $t$ is given by

asked Sep 1, 2014 by sreemathi.v

1 answer

A position dependent force F = (10-2x +3x$^2$ ) N acts on a small object of mass 2 kg to displace it from x = 0 to x = 3m. The work done in Joules is

asked Aug 26, 2014 by balaji.thirumalai

1 answer

A particular force acting on object has equation $F=-cx^3$ where x is displacement of object from some orgin and $c=1N/m^3$ What is magnitude of the work done by this force, as the object moves from $x=-2m,\; to\;x=+2m$

asked Aug 8, 2013 by meena.p

1 answer

Work done by force $F=(-6x^3\hat i)\;N$ in displaying particle from $x=4m$ to $x=-2m$ is

asked Jul 16, 2013 by meena.p

1 answer

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