Embibe Experts Solutions for Chapter: Work, Energy and Power, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

A car driver is trying to jump across a path as shown in figure by driving horizontally off a cliff $\text{'}X\text{'}$ at the speed $10 \mathrm{m} {\mathrm{s}}^{-1}$. When he touches peak $Z$ (ignore air resistance), what would be speed? (use $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

Consider a small block sliding down an inclined plane of inclination $30°$ with the horizontal. The coefficient of friction is $\mu =\frac{2}{3}x,$ where $x$ is the distance (in meter) through which the mass slides down. The distance covered by the mass before it stops is

A small block of mass $200\mathrm{g}$ is placed on a horizontal slab at a height of $2 \mathrm{m}$ above the floor. The block is pressed against a horizontal spring fixed at one end to compress the spring through $10.0 \mathrm{cm}.$ Upon releasing, the block moves horizontally till it leaves the spring. Calculate the horizontal distance covered by the block after leaving the slab and just before hitting the ground. The spring constant is $50 \mathrm{N} {\mathrm{m}}^{-1}.$
(Assume $g=10 \mathrm{m} {\mathrm{s}}^{-2}$).

The potential energy of a particle in a central field has the form $U\left(r\right)=\frac{1}{r^2}-\frac{1}{r},$ where $\text{'}r\text{'}$ is the distance from the centre of the field. The magnitude of the maximum attractive force in Newton is

Which of the following is not a correct statement?

Water is pumped steadily out of a flooded basement, at the speed of $10 \mathrm{m} {\mathrm{s}}^{-1}$ through a hose (tube) of radius, $1 \mathrm{cm},$ passing through a window, $3 \mathrm{m}$ above the water level. The power of the pump is (Assume $g=10 \mathrm{m} {\mathrm{s}}^{-2}$, density of water $=1000 \mathrm{kg} {\mathrm{m}}^{-3}$)

A constant force of $5 \mathrm{N}$ accelerates a stationary particle of mass $500 \mathrm{gm}$ through a displacement of $5\mathrm{m}.$The average power delivered is

A water pump rated $600 \mathrm{W},$ has an efficiency of $95\%.$ If it is used to raise water through vertical distance of $60 \mathrm{m}.$ The volume of water drawn in $20$ minutes, is [Use density of water $=1000 \mathrm{kg}{ \mathrm{m}}^{-3}, g=10 \mathrm{m}/{\mathrm{s}}^2$]