Work Power Energy

A block of mass $5\mathrm{kg}$ starting from rest pulled up on a smooth incline plane making an angle of $30^{\circ}$ with horizontal with an effective acceleration of $1ms^{-2}$. The power delivered by the puling force…

A block of mass $m=10\mathrm{kg}$ rests on a horizontal table. The coefficient of friction between the block and the table is$0.05$. When hit by a bullet of mass$50g$ moving with speed $v$, that gets embedded in it, the…

As shown in the figure, a particle of mass $10\mathrm{kg}$ is placed at a point $A.$ When the particle is slightly displaced to its right, it starts moving and reaches the point $B.$ The speed of the particle at $B$ is…

Given below is the plot of a potential energy function $U(x)$ for a system, in which a particle is in one dimensional motion, while a conservative force $F(x)$ acts on it. Suppose that $E_{\text{mech}}=8J$, the…

A ball of mass $100g$ is dropped from a height $h=10\mathrm{cm}$ on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance…

A uniform chain of length $3m$and mass $3\mathrm{kg}$ overhangs a smooth table with $2m$laying on the table. If $K$ is the kinetic energy of the chain in$J$ as it completely slips off the table, then the value of $K$ is…

A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle $(\theta\,)$ of thread deflection in the extreme position…

A stone tide to a string of length $L$ is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed $u$. The magnitude…

If the maximum load carried by an elevator is $1400\mathrm{kg}$ $(600\mathrm{kg}\text{-Passengers}+800\mathrm{kg}\text{-elevator})$ , which is moving up with a uniform speed of $3ms^{-1}$ and the frictional force acting…

A uniform cable of mass $M$ and length $L$ is placed on a horizontal surface such that its $\left(\frac{1}{n}\right)^{th}$ part is hanging below the edge of the surface. To lift the hanging part of the cable upto the…

Consider a force $\vec{F}=-x\hat{i}+y\hat{j}$ . The work done by this force in moving a particle from point $A\left(1,0\right)$ to $B\left(0,1\right)$ along the line segment is : (all quantities are in SI units)

Two inclined planes are placed as shown in figure. A block is projected from the Point $A$of inclined plane $AB$ along its surface with a velocity just sufficient to carry it to the top Point $B$ at a height $10 m$.…