Embibe Experts Solutions for Chapter: Work, Energy and Power, Exercise 1: KEAM 2018

If a force $\overrightarrow{\mathrm{F}}=\hat{\mathrm{i}}-2\hat{\mathrm{j}}-4\hat{\mathrm{k}}$ acting on a particle displaces it from $(1,1,1)$ to $(2,-1,0),$ then the work done by the force (in units of work) is

The Work - Energy theorem
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(D)

A running boy has the same kinetic energy as that of a man of twice his mass. If the speed of the boy is $14.14{\mathrm{ms}}^{-1},$ the speed of the man is

An object, moving with velocity $5 \mathrm{m}/\mathrm{s},$ undergoes an acceleration of $1 \mathrm{m}/{\mathrm{s}}^2$ at time $t=0.$ If the object has a mass of $1 \mathrm{kg},$ the kinetic energy $\left(KE\right)$ of the object at time $t=5 \mathrm{s}$ is

A body of mass $m=1 \mathrm{kg}$ is moving in a medium and experiences a frictional force $F=-kv$, where $v$ is the speed of the body. The initial speed is $v_0=10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$ and after $10$ s, its energy becomes half of the initial energy. Then, the value of $k$ is

Some of the following equations are kinematical equations, where the symbols have their usual meaning. The $\mathrm{w}\mathrm{o}\mathrm{r}\mathrm{k}-\mathrm{e}\mathrm{n}\mathrm{e}\mathrm{r}\mathrm{g}\mathrm{y}$ theorem is represented by

A spring of natural length $l$ and spring constant $50 \mathrm{N}/\mathrm{m}$ is kept on a horizontal frictionless table with one end attached to a rigid support. First the spring was compressed by $10 \mathrm{cm}$ and then released to hi a ball of mass $20 \mathrm{g}$ kept at a distance $l$ from the rigid support, if after hitting the ball, the natural length of the spring is restored, what is the speed with which the ball moved ? (Ignore the air resistance)

A mass $m$, suspended vertically by a massless ideal spring with spring constant $k$, is at rest. The mass is displaced upward by a height $h$. When released, the kinetic energy of the mass will be proportional to (Neglecting air resistance)