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Work - Energy and Power
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Work - Energy and Power
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1. A solid cylinder of mass 3 kg is rolling on ahorizontal surface with velocity 4 ms-“1It collides with ahorizontal spring of force constant 200 Nm -“1Themaximum compression produced in the spring will be:[2012]
2. A force of 250 Nis required to lift a 75 kg massthrough a pulley systemIn order to lift the massthrough 3 m - the rope has to be pulled through 12mTheefficiency of system is [2001]
3. 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]
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. Two masses of 1g and 9g are moving with equalkinetic energiesThe ratio of the magnitudes of theirrespective linear moment a is [1993]
6. 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]
7. The co-efficient of restitution e for a perfectlyelastic collision is [1988]
8. Two identical balls A and B moving with velocities+0.5 m/s and -“ 0.3 m/s respectively - collide head onelasticallyThe velocities of the balls A and B aftercollision - will be - respectively [1991]
9. 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]
10. Two bodies with kinetic energies in the ratio 4: 1are moving with equal linear momentumThe ratio oftheir masses is [1999]
11. 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]
12. A body of mass m moving with velocity 3 km/hcollides with a body of mass 2 m at restNow thecoalesced mass starts to move with a velocity [1996]
13. Two bodies of masses m and 4 m are moving withequal K.EThe ratio of their linear momenta is [1997]
14. If the momentum of a body is increased by 50% - then the percentage increase in its kinetic energy is[1995]
15. If the kinetic energy of a particle is increased by300% - the momentum of the particle will increase by[2002
16. The upper half of an inclined plane of inclination θis perfectly smooth while lower half is roughA blockstarting from rest at the top of the plane will again cometo rest at the bottom - if the coefficient of frictionbetween the block and lower half of the plane is given by[NEET2013]
17. 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]
18. 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
19. 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:
20. 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]
21. A vertical spring with force constant k is fixed on atableA ball of mass m at a height h above the free upperend of the spring falls vertically on the spring so that thespring is compressed by a distance dThe net work donein the process is [2007]
22. Consider a car moving along a straight horizantalroad with a speed of 72 km/hIf the coefficient of staticfriction between road and tyres is 0.5 - the shortestdistance in which the car can be stopped is [1994]
23. 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]
24. 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]
25. 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]

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