Work Done by a Variable Force

The only force $F_{\mathit{x}}$ acting on a $2.0 \mathrm{kg}$ body as it moves along the $x$-axis varies as shown in the figure. The velocity of the body along positive $x$-axis at $x=0$ is $4 \mathrm{m} {\mathrm{s}}^{-1}$. The kinetic energy of the body at $x=3.0 \mathrm{m}$ is :-

A force $F$ acting on an object varies with distance x as shown in the figure. The work done by the force in moving the object from $x=0$ to $x=20 \mathrm{m}$ is

Starting from rest, a particle is moving along x-axis. The variation of force with position is shown in figure. Find the Kinetic energy $\left(KE\right)$ of particle when it is at $x=3\text{m}\text{.}$

Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in the figure. The work done on the particle during its displacement of $12 \mathrm{m}$ is

Which one of the following physical quantities is represented by the shaded area in the given graph?

The relationship between the force $F$ and position $x$ of a body is as shown in figure. The work done in displacing the body from $x=1 \mathrm{m}$ to $x=5 \mathrm{m}$ will be-

The only force acting on a block is along x-axis is given by $\mathrm{F}\mathrm{ }=-\left(\frac{4}{{\mathrm{x}}^2+2}\right)\mathrm{N}$ When the block moves from$\mathrm{x}=-2\mathrm{ }\mathrm{m}$ to $\mathrm{x}=4\mathrm{ }\mathrm{m}$the change in kinetic energy of block is -

If a particle is compelled to move on a given smooth plane curve under the action of given forces in the plane $\overrightarrow{\mathbf{F}}=x\widehat{\mathbf{i}}+y\widehat{\mathbf{j}}$, then

A force $F=A{y}^2+By+C$ acts on a body in the $y$-direction. The work done by this force during a displacement from $y=-a$ to $y=a$ is

A wire of length $L$ suspended vertically from a rigid support is made to suffer extension $l$ in its length by applying a force $F$. The work is

The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of $20 \mathrm{m}$ is

The area under the displacement-force curve gives

A bullet of mass $10 \mathrm{g}$ is fired horizontally with a velocity $1000 {\mathrm{ms}}^{-1}$ from a rifle situated at a height $50 \mathrm{m}$ above the ground. If the bullet reaches the ground with a velocity $500 {\mathrm{ms}}^{-1}$, the work done against air resistance in the trajectory of the bullet is $(g=10 {\mathrm{ms}}^{-2})$

Graph shows the acceleration of a $3 \mathrm{kg}$ particle as an applied force moves it from rest along $x-$axis. The total work done by the force on the particle by the time the particle reaches $x = 6 \mathrm{m}$, is equal to –

Force $F$ on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of $12 \mathrm{m}$ is,

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A force F acting on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is

A particle is acted upon by a force F which varies with position x as shown in figure. If the particle at x = 0 has kinetic energy of 25 J, then the kinetic energy of the particle at x = 16 m is

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of $20 \mathrm{m}$ is

What is the work done by a man in carrying a suitcase weighing $30 \mathrm{kg}$ over his head, when he travels a distance of $10 \mathrm{m}$ in the vertical direction.

The relationship between the force F and position x of a body is as shown in the figure. The work done in displacing the body from x = 1 m to x = 5 m will be: