Embibe Experts Solutions for Chapter: Work, Energy and Power, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

A particle of mass $10 \mathrm{g}$ is thrown vertically upwards with a speed of $20 \mathrm{m} {\mathrm{s}}^{-1}$. The work done by the gravitational force during the time the particle moves upward is

The relationship between the force $F$ and position $x$ of a particle is as shown in the following diagram. The work done in displacing the particle from $x=0 \mathrm{m}$ to $5 \mathrm{m}$ will be:

A car of mass $1000 \mathrm{kg}$ collides with a horizontally mounted spring and comes to rest. If the speed of the car just before the collision was $10 \mathrm{m} {\mathrm{s}}^{-1}$ and spring constant $k={10}^4 \mathrm{N} {\mathrm{m}}^{-1}$ then what is the maximum compression of the spring, 

The potential energy function for a two dimensional force is given by $U=3x^{3}y-7x$. The force that acts at the point $\left(x, y\right)$ is (Take $\hat{i}$ and $\hat{j}$ as unit vectors along $X$- and $Y$- axes)

The potential energy of a particle varies with distance $\text{'}x\text{'}$ as shown in the graph. The force acting on the particle is zero at

A machine gun fires $360$ bullets per minute. Each bullet travels with velocity of $500 \mathrm{m} {\mathrm{s}}^{-1}$. If the power of the machine gun is $4.5 \mathrm{kW}$ then the mass of each bullet is:

A machine gun fires five bullets per second into a target. The mass of each bullet is $5 \mathrm{gm}$. If the average force required to hold the gun in position is $12.5 \mathrm{N}$, then what is the speed (S in $\mathrm{m} {\mathrm{s}}^{-1}$ ) of each bullet & what is the power ( $P$ in $\mathrm{kW}$ ) delivered to each bullet?

A car of mass ' $m=1500 \mathrm{kg}$ ' starts from rest and accelerates such that its instantaneous velocity is proportional to $\sqrt{t}$, where t is time in seconds. What should be the instantaneous power delivered to the car if its instantaneous velocity is $20 \mathrm{m} {\mathrm{s}}^{-1}$ after $10$ seconds.