Sunil Batra Solutions for Chapter: Work and Energy, Exercise 7: NTSE--Target: Scholastic Aptitude Test-SAT

A hovering helicopter drops food packets from an altitude of $200\mathrm{m}$ towards passenger of a stranded boat affected with flood. Each packet is of mass $500\mathrm{gm}$. It is packed so well that it can withstand a momentum up to $60\mathrm{N} \mathrm{s}$. Find out which of the following is correct:

Best relationship between momentum and kinetic energy possessed by an object in terms of mass is

A car with $\mathrm{K}.\mathrm{E}.100\mathrm{J}$ is moving on a horizontal road. Now $200\mathrm{J}$ work is done on the car. The change in $\mathrm{K}.\mathrm{E}.$ is

Two bodies with kinetic energy in the ratio of $4:1$ are moving with equal linear momentum. The ratio of their masses is 

A car of mass one metric ton accelerate from rest at the rate of $2\mathrm{m}/{\mathrm{s}}^2$ from $\mathrm{t}=0 \sec$ to $\mathrm{t}=10 \mathrm{s}$. Thereafter it travels with a uniform velocity. The measure of net retarding force acting on the car after $10 \mathrm{s}$ is

 A certain household has consumed $200$ units of energy during a month. Its value in joules will be

A person of mass $50\mathrm{kg}$ runs up to the staircase of $40$  steps in $6 \mathrm{s}$. If the height of each step is $15\mathrm{cm}$, then his power will be (If $\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2$).

If mass is doubled and velocity is halved then, new kinetic energy is