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CLASS : XI PHYSICS ASSIGNMENT NO. IV UNIT : IV, CHAP : WORK ENERGY & POWER 1 Mark Type Q1. State the fa ctors on whic h the wo rk don e by a fo rce de pends. Q2. What i s the work d one by th e force of tensio n in the str ing of simple pend ulum? Q3. Momen t of forc e and wor k done by a f orce h ave same u nits. What i s the diffe rence betwee n them? Q4. Whic h physic al quantit ies are conce rned in an elast ic collision? Q5.Fr icton is non-c onsecu tive force. How? Q6. What is the signifi canc e of the ve sign in w = -mgd? Q7. Rela te 1 kwh = 1j Q8. A mass m coll ides wit h ano ther mas s 2m an d stic ks to it . What is the na ture of t he co llision? Q9. A mass is movin g in a circu lar path with c onstant speed . What is the wo rk done in 3/4 th of a rotation? Q10. Draw th e variation of P.E. store d in a spring as a func tion of ext ension. Q11. Mountain roads rarely go straight up but win d up gradually. Why? Q12. What is mean t by mass energ y equiv alen ce? Discu ss. Q13. Is its possib le to have a situation whe n E – U < 0? Q14. What are the dimensions of power? How many wa lls are there in one horse power? 2/3 marks type Q15. Derive an expre ssion for the kinetic energy of a body of mass m moving with ve locity ‘v’ by calc ulus method. Q16. Two sp rings A & B with consta nts K A and K B (K A > K B ) are given. In which of the spring more work is to be done, if, (i) they are stretc hed by the same amount. (ii) they are stretc hed by same force . Q17. By what factor the velocity of a body should be increased so that its K.E. is increased by a fac tor of nine? Justify. Q18. Prove that bodies of identical masses incharge th eir velocities after head on elastic collision. Q19. A body of mass 4 Kg. ini tially a t rest is subje ct to force 16 N. What is ki netic en ergy a cquired by th e body at the end of 10S? Q20. A body is moving un idirectional under the influence of a source of co nstant power. Its displacement in time t is prop ortional t o: - (i) t ½ (ii) t (iii)t 3/2 (i v) t 2 Q21. State & prove wo rk ener gy the orem. Q22. Discuss Elastic collision in 1-D. Obtain expression for velocities of two bodies after such a collision. Q23. The blades of windmill sweep out a c ircle of area A (a) if wind flows at velocity v perpend icular to circle, what is mass of air passing through it in time t? (b) What is kinetic energy of air? (c) Assume that windmill converts 25% of wind’s energy into electrical energy. Given A = 30m 2 , V = 36 km/hr & density of air = 1.2 kg m -3 . What is electrical power produced? Q24. A pump on the grd floor of a building c an pump up water to fill a tank of volume 30 m 3 in 15 min. If the tank is 40 m above the grd, and the efficiency of the pump is 30%, how much electric power is consumed  by the pump ? Q25. A part icle mov es al ong x-ax is from x = 0 t o x = 5m unde r influe nce of for ce F = 7 – 2x + 3x 2 . Find work done in process. Q26. A sho t trave ling at rate 100 ms -1 is just able to pierce plank 4cm thick. What velocity is reqd to just pierce  plank 9cm thick? Q27. A 10 Kg. ball a 20 kg. b all approach each other with velocities 20 ms -1 & 10 ms -1 respectively. What are their velocities after collision if the collision is p erfectly elastic ?  A V CLASSES 

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CLASS : XI PHYSICS ASSIGNMENT NO. IV UNIT : IV, CHAP : WORK

ENERGY & POWER

1 Mark Type

Q1. State the factors on which the work done by a force depends.

Q2. What is the work done by the force of tension in the string of simple pendulum?Q3. Moment of force and work done by a force have same units. What is the difference between them?

Q4. Which physical quantities are concerned in an elastic collision? Q5.Fricton is non-consecutiveforce. How?

Q6. What is the significance of the – ve sign in w = -mgd? Q7. Relate 1 kwh = 1j

Q8. A mass m collides with another mass 2m and sticks to it. What is the nature of the collision?

Q9. A mass is moving in a circular path with constant speed. What is the work done in 3/4th

of a rotation?Q10. Draw the variation of P.E. stored in a spring as a function of extension.

Q11. Mountain roads rarely go straight up but wind up gradually. Why?

Q12. What is meant by mass energy equivalence? Discuss. Q13. Is its possible to have a situation

when E – U < 0?

Q14. What are the dimensions of power? How many walls are there in one horse power?

2/3 marks type

Q15. Derive an expression for the kinetic energy of a body of mass m moving with velocity ‘v’ by calculus

method.

Q16. Two springs A & B with constants K A and K B (K A > K B) are given. In which of the spring more work isto be done, if,

(i) they are stretched by the same amount. (ii) they are stretched by same force.Q17. By what factor the velocity of a body should be increased so that its K.E. is increased by a factor of nine?

Justify.

Q18. Prove that bodies of identical masses incharge their velocities after head – on elastic collision.

Q19. A body of mass 4 Kg. initially at rest is subject to force 16N. What is kinetic energy acquired by the body

at the end of 10S?

Q20. A body is moving unidirectional under the influence of a source of constant power. Its displacement intime t is proportional to: - (i) t

½(ii) t (iii) t

3/2(iv) t

2

Q21. State & prove work energy theorem.

Q22. Discuss Elastic collision in 1-D. Obtain expression for velocities of two bodies after such a collision.

Q23. The blades of windmill sweep out a circle of area A (a) if wind flows at velocity v perpendicular to circle,

what is mass of air passing through it in time t? (b) What is kinetic energy of air? (c) Assume that

windmill converts 25% of wind’s energy into electrical energy. Given A = 30m2, V = 36 km/hr & density

of air = 1.2 kg m-3

. What is electrical power produced?

Q24. A pump on the grd floor of a building can pump up water to fill a tank of volume 30 m3

in 15 min. If the

tank is 40 m above the grd, and the efficiency of the pump is 30%, how much electric power is consumed

 by the pump ?

Q25. A particle moves along x-axis from x = 0 to x = 5m under influence of force F = 7 – 2x + 3x2. Find work

done in process.

Q26. A shot traveling at rate 100 ms-1

is just able to pierce plank 4cm thick. What velocity is reqd to just pierce

 plank 9cm thick?

Q27. A 10 Kg. ball a 20 kg. ball approach each other with velocities 20 ms-1

& 10 ms-1

respectively. What are

their velocities after collision if the collision is perfectly elastic ?

 A V CLASSES