Embibe Experts Solutions for Chapter: Work, Power & Energy, Exercise 1: Exercise#1

The blocks $A$ and $B$ shown in the figure have masses, $M_{\mathrm{A}}=5 \mathrm{kg}$ and $M_{\mathrm{B}}=4 \mathrm{kg}$. The system is released from rest. The speed of $B$ after $A$ travels a distance $1 \mathrm{m}$ along the incline is,

A body of mass $6 \mathrm{kg}$ is acted upon by a force which causes a displacement in it given by, $x=\frac{t^2}{4} \mathrm{m}$ where, $t$ is the time in second. The work done by the force in $2 \mathrm{s}$ is,

Find the velocity of $A$ in the figure after it starts from rest at $t=0$ in the position shown and travels $9 \mathrm{m}$ along the frictionless surface. $M_{\mathrm{A}} \text{and} M_{\mathrm{B}}$ are $300 \mathrm{kg} \text{and} 200 \mathrm{kg}$, respectively (take, $g=10 \mathrm{m} {\mathrm{s}}^{-2}$).

The block is released from rest on a rough incline as shown. The maximum compression in spring is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$,

A block of mass $5 \mathrm{kg}$ is released from rest when compression in spring is $2 \mathrm{m}$. The block is not attached with the spring and the natural length of the spring is $4 \mathrm{m}$. Maximum height of the block from ground is: $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$,

The kinetic energy of a particle moving in a straight line varies with time as, $K=4t^2\text{.}$ The force acting on the particle,

A small block is attached to a vertical unstretched spring and is released from rest. The other end of the spring is fixed. The ratio of maximum potential energy in the spring to that of total energy of oscillation is

A horse drinks water from a cubical container of side $1 \mathrm{m}$. The level of the stomach of horse is at $2 \mathrm{m}$ from the ground. Assume that all the water drunk by the horse is at a level of $2 \mathrm{m}$ from the ground. Then minimum work done by the horse in drinking the entire water of the container is (take ${\rho }_{\text{water }}=1000 \mathrm{kg} {\mathrm{m}}^{-3}$ and $\left.g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$