Embibe Experts Solutions for Chapter: Work, Energy and Power, Exercise 1: AP EAPCET - 3 Sep 2021 Afternoon

A lawn roller has been pushed through a distance of $80 \mathrm{m}$ by applying a force of $50 \mathrm{kg}.$wt in a direction inclined at $60°$ with the ground. Calculate the work done on the roller.

A stationary object breaks into two pieces $A$ and $B$ of masses $6 \mathrm{kg}$ and $8 \mathrm{kg}$ respectively. If the velocity of $B$ is $6 \mathrm{m} {\mathrm{s}}^{-1}$, then find the kinetic energy of $A.$

The momentum of a particle is numerically equal to its kinetic energy. What will be the velocity of the particle ?

The graph between resistive force $F$ acting on a body and the distance covered by the body is shown in the figure. If the mass and initial velocity of the body are $25 \mathrm{kg}$ and $2 \mathrm{m}·{\mathrm{s}}^{-1}$ respectively, find its kinetic energy after having travelled a distance of $4 \mathrm{m}$

When a ball of mass $50 \mathrm{g}$ is thrown upwards, it raises to a maximum height of $100 \mathrm{m}.$ At what height its $\mathrm{K}.\mathrm{E}$. will be reduced to $70\%?$

In the arrangement shown in the figure, $m_A=1 \mathrm{kg}$ and $m_B=4 \mathrm{kg}.$ Assume that the string is light and inextensible and the pulley is smooth. If the coefficient of friction between block $\text{'}A\text{'}$ and the table is $0.2,$ the speed of both the blocks when $\text{'}B\text{'}$ has descended through a height $h=1 \mathrm{m}$ is nearly take $\left(\mathrm{g}=10 \mathrm{m}·{\mathrm{s}}^{-2}\right)$

Match the following?

If the engine of a train of mass $2.05\times {10}^6 \mathrm{kg}$ requires a duration of $7$ minutes for changing its velocity from $5 \mathrm{m}·{\mathrm{s}}^{-1}$ to $25 \mathrm{m}·{\mathrm{s}}^{-1},$ find the power of the engine.