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Work - Energy and Power
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Work - Energy and Power
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1. A body of mass 1 kg is thrown upwards with avelocity 20 m/sIt momentarily comes to rest afterattaining a height of 18 mHow much energy is lost dueto air friction? (g = 10 m/s2)2009
2. Two bodies with kinetic energies in the ratio 4: 1are moving with equal linear momentumThe ratio oftheir masses is [1999]
3. A ball of mass 2 kg and another of mass 4 kg aredropped together from a 60 feet tall buildingAfter a fallof 30 feet each towards earth - their respective kineticenergies will be in the ratio of [2004]
4. A stationary particle explodes into two particles ofmasses m 1 and m 2 which move in opposite directionswith velocities v1 and v2The ratio of their kineticenergies E1 /E2 is [2003]
5. A position dependent force - F= (7 -“ 2x + 3x2) N actson a small body of mass 2 kg and displaces it from x = 0to x = 5 mWork done in joule is [1992]
6. An explosion breaks a rock into three parts in ahorizontal planeTwo of them go off at right angles toeach otherThe first part of mass 1 kg moves with aspeed of 12 ms-“1 and the second part of mass 2 kg moveswith speed 8 ms-“1If the third part flies off with speed 4ms-“1 then its mass is [NEET2013]
7. The potential energy of a system increases if workis done [2011]
8. A particle of mass m 1 is moving with a velocity v1and another particle of mass m 2 is moving with avelocity v2Both of them have the same momentum buttheir different kinetic energies are E 1 and E2respectivelyIf m 1> m2 then [2004]
9. A person holding a rifle (mass of person and rifletogether is 100 kg) stands on a smooth surface and fires10 shots horizontally - in 5 sEach bullet has a mass of 10g with a muzzle velocity of 800 ms -“1The final velocityacquired by the person and the average force exerted onthe person are [NEETKar2013]
10. A shell of mass 200 gm is ejected from a gun ofmass 4 kg by an explosion that generates 1.05 kJ ofenergyThe initial velocity of the shell is:
11. A car of mass m starts from rest and accelerates sothat the instantaneous power delivered to the car has aconstant magnitude P 0The instantaneous velocity ofthis car is proportional to: [2012M]
12. A force acts on a 30 gm particle in such a way thatthe position of the particle as a function of time is givenby x = 3t -“ 4t2 + t3 - where x is in metres and t is insecondsThe work done during the first 4 seconds is[1998]
13. When a long spring is stretched by 2 cm - itspotential energy is UIf the spring is stretched by 10 cm - the potential energy stored in it will be [2003]
14. A mass m moving horizontally (along the x-axis)with velocity v collides and sticks to mass of 3m movingvertically upward (along the y-axis) with velocity 2v.The final velocity of the combination is [2011M]
15. Two bodies of masses m and 4 m are moving withequal K.EThe ratio of their linear momenta is [1997]
16. Two equal masses m 1 and m 2 moving along thesame straight line with velocities + 3 m/s and -“ 5m/srespectively - collide elasticallyTheir velocities after thecollision will be respectively[1998]
17. A molecule of mass m of an ideal gas collides withthe wall of a vessel with a velocity v and returns backwith the same velocityThe change in linear momentumof molecule is [1997]
18. If the kinetic energy of a particle is increased by300% - the momentum of the particle will increase by[2002
19. Two masses of 1g and 9g are moving with equalkinetic energiesThe ratio of the magnitudes of theirrespective linear moment a is [1993]
20. A bomb of mass 30 kg at rest explodes into twopieces of masses 18 kg and 12 kgThe velocity of 18 kgmass is 6 ms-“1The kinetic energy of the other mass is[2005]
21. An engine pumps water through a hose pipeWaterpasses through the pipe and leaves it with a velocity of 2m/sThe mass per unit length of water in the pipe is 100kg/mWhat is the power of the engine? [2010]
22. If the momentum of a body is increased by 50% - then the percentage increase in its kinetic energy is[1995]
23. A rubber ball is dropped from a height of 5m on aplane - where the acceleration due to gravity is notshownOn bouncing it rises to 1.8 mThe ball loses itsvelocity on bouncing by a factor of [1998]
24. A ball moving with velocity 2 m/s collides head onwith another stationary ball of double the massIf thecoefficient of restitution is 0.5 - then their velocities (inm/s) after collision will be:2010
25. A bullet of mass 10g leaves a rifle at an initialvelocity of 1000 m/s and strikes the earth at the samelevel with a velocity of 500 m/sThe work done in joulesovercoming the resistance of air will be [1989]

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