REVISION
91- CYCLE-1
ADVANCED Sheet
FIITJEE WORK, POWER & ENERGY Day: 05
Day:05(21.05.2021)
SINGLE ANSWER TYPE:
1. An ideal spring supports a disc of mass M. A body of mass m is released from a certain height from where it falls
to hit M. The two masses stick together at the moment they touch and move together from then on. The
oscillations reach to a height a above the original level of the disc and depth b below it. The constant of the force
of the spring is
2mg mg 2mg mg
(A) (B) (C) (D)
b−a b−a a−b 2 (a − b)
2. A sphere of mass m, attached at its center to a spring on incline as shown in figure, is held in unstretched position
of spring. Suddenly the sphere is set free, the maximum extension of spring is (friction is enough to prevent
slipping)
2mg 2mg cos 2mg sin mg sin
(A) (B) (C) (D)
k k k k
p0t 20
3. A machine delivers power given by P = 2
where p0 and t 0 are constants. The machine starts at t = 0 and
( t + t0 )
runs forever. What is maximum work that the machine can perform
A) Infinite B) Zero C) P0 t0
D) Can not be predicted, data insufficient
4. Block A in the figure is released from the rest when the extension in the spring is x0. The maximum downward
displacement of the block.
Mg Mg 2Mg 2Mg
(A) − x0 (B) + x0 (C) − x0 (D) + x0
2k 2k k k
0
5. As shown in fig, a bob of mass ‘m’ is attached by one end of string of length 1 metre and makes an angle 60
with vertical. When it is released it strikes perfectly elastically with block of mass ‘3m’ (which is rest on smooth
horizontal table). The height of table is also 1 metre. The range obtained by ‘3m’ block from vertical side ‘CD’
of table will be…………….
Revision Paper by Aman Sir (AMSP)
FIITJEE LIMITED_Vijayawada
91- ADVANCED Sheet
FIITJEE WORK, POWER & ENERGY Day:05(21.05.2021)
1 1
(A) 2 metre (B) metre (C) metre (D) 2 2 metre
2 2 2
6. A massive trolley is moving with an acceleration of a0. A spring of spring constant K and natural length 2x0 is
compressed by x0 and is attached to the wall and block as shown in the figure. The length of the string which is
attached to block and wall is x0. At some instant the string is burnt. The distance of the block from O when it will
attain maximum velocity relative to trolley is
ma0 2ma0 ma0
A) 2x0 B) 2x0 + C) 2x0 + D) 2x0 +
2K K K
7.
MULTIPLE ANSWER TYPE:
8. Choose the correct statement (s) of the following:
(A) force acting on a particle for equal time intervals can produce the same change in momentum but different
change in kinetic energy
(B) force acting on a particle for equal displacements can produce same change in kinetic energy but different
change in momentum
(C) force acting on a particle for equal time intervals can produce different change in momentum but same change
in kinetic energy
(D) force acting on a particle for equal displacements can produce different change in kinetic energy but same
change in momentum
9.
Revision Paper by Aman Sir (AMSP)
FIITJEE LIMITED_Vijayawada
91- ADVANCED Sheet
FIITJEE WORK, POWER & ENERGY Day:05(21.05.2021)
v0 v0 2 mv02 3 vo
A) v = b) v = c) v = d) k = m
2 4 3 x02 4 x0
10. A smooth track in form of a quarter circle of radius 6 m lies in the vertical plane , A particle moves from P1 to
P2 under the action of forces F1 , F2 and F3 . Force F1 is always towards P2 and is always 20 N in magnitude.
Force F2 is always act horizontally and is always 30 N in magnitude. Force F3 always acts tangentially to the
track and is of magnitude 15 N. select the correct magnitude.
O 6m P2
F1
F3
F2
P1
A) Work done by F1 is 120 2 J B) Work done by F2 is 180J
C) Work done by F3 is 45 J D) F3 is conservative in nature
11. The potential energy v in joule of a particle of mass 1 kg moving in xy plane, obeys the law v = 3 x + 4 y , when
( x, y ) are the co-ordinates of the particle in meter. If the particle is at rest at (6, 4) at time t = 0, then
A) the particle has constant acceleration
B) the work done by the external force from the position of rest of the particle and the instant at which the
particle crossing x – axis is 25 joule
C) the speed of the particle when it crosses the y – axis is 10 m/s
D) the co-ordinates of the particle at time t = 4S are (-18 m, -28 m)
12. A body of mass m is moving along a circular path of radius R such that at any instant the kinetic energy
2
t
K = K 0 where to and k0 are appropriate constants. Then
t0
a) The magnitude of tangential component of force acting on it must be constant
b) The magnitude of centripetal force acting on the body will be directly propotional to t2.
c) after a long time, the resultant force will make a very small angle with the radius
d) speed of the particle remains constant
13. A balloon having a ladder connecting its top and bottom is floating fully submerged inside water in a large
container. A person of mass m standing at the bottom most rung of the ladder climbs slowly to the top whose
height is H. mass of the balloon is M. Neglect friction every where. Then
1) the workdone by the person is mgH
2) the centre of mass of the balloon and person system does not change
3) the centre of mass of the ( balloon + person + water ) system does not change.
4) during climbing up the ladder the pressure at the bottom of the container becomes more than the pressure
when the man is not climbing.
14. A pump motor is used to deliver water at constant rate from a given pipe. To obtain ‘n’ times water from pipe
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AmanSir
Sir(AMSP)
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91- ADVANCED Sheet
FIITJEE WORK, POWER & ENERGY Day:05(21.05.2021)
(A) Velocity should increase by ‘n’ times (B) Force should increase by n 2 times
(C) Power should increase by n 3 (D) KE should increase by n 4 times
NUMERICAL ANSWER TYPE:
15. A spring mass system is kept on a horizontal rough surface having coefficient of friction = 0.4. The spring is
connected to the vertical wall. The spring is extended by 27 cm to the right and then it is released. The total
distance travelled by the block before it comes to permanent rest is x 10 in cm find x
k = 100 N/m
m = 1kg
= 0.4
16. A block of mass 2 kg is moving with speed v0 towards a massless unstreched spring ( K = 10 N / m ) . It is found
that for maximum speed v 0 = 6.4 m / s , the block compresses the spring by 1m, stops at that position and does
1
not return back. Friction coefficient at surface is = . Value of x is
x
17. A uniform chain of length L and mass M overhangs a horizontal table with its two third part on the table. The
friction coefficient between the table and the chain is . The work done by the friction during the period the
chain slips off the table is − ( 2MgL ) / x . Find x.
18. In the figure shown initially the spring is in its original length. Find the minimum value of F required to move m2.
The co efficient of friction between m1,m2 and ground is 0.2. (Take g = 10 ms-2)
19. A small positively charged ball of mass ‘m’ suspended by an insulated thread of negligible mass. Another
positively charged small ball is moved very slowly from a large distance until it is in the original position of the
first ball. As a result, the first ball rises by ‘h’. If the work done by external agent is Kmgh, then find the value of
‘K’.
20. An ideal spring supports a disc of mass M = 10 kg. A body of mass
m = 1 kg is released from a certain height from where it falls to hit M. The two masses stick together at the
moment they touch and move together from then on. The oscillations reach to a height a = 1 cm above the original
level of the disc and depth b = 5 cm below it. The spring constant of the spring is N 102 N/m. Find N.
(Take g = 10 m/s2)
−1
21. Find the potential energy stored in the spring in equilibrium in 10 Joule
Revision Paper by Aman Sir (AMSP)
FIITJEE LIMITED_Vijayawada
91- ADVANCED Sheet
FIITJEE WORK, POWER & ENERGY Day:05(21.05.2021)
MISCELLANEOUS ANSWER TYPE:
22. A student is standing on a train travelling along a straight horizontal track at a speed of 10 m/s. The student
throws a ball into the air along a path, that he sees to make an initial angle of 60° with the horizontal along the
track. The professor standing on the ground observes the ball to rise vertically, the maximum height reached by
the ball is H . Find H (in m )
(a) 10 (b) 15 (c) 20 (d) none
Passage-1:
A ideal spring supports a disc of mass M. A body of mass m is released from a certain height from where it falls to
hit M. The two masses stick together at the moment they touch and move together from then on. The oscillations
reach to a height a above the original level of the disc and depth b below it.
m
23. The constant of the force of the spring is
2mg mg mg mg
(a) (b) (c) (d)
b−a b−a a−b 2 (a − b)
24. The oscillation frequency is
1 mg 1 2mg
(a) (b)
( m + M )( b − a ) 2 ( m + M )( b − a )
1 2mg 1 2(m + M)
(c) (d)
2 (m + M) 2 ( a − b ) mg
25. The height above the initial level from which the mass m was released is
m + M ab m ab ab m 2ab
(a) (b) (c) (d)
m b−a m+M b−a b−a m+M b−a
ANSWER KEY
FIITJEE LIMITED_Vijayawada
91- ADVANCED Sheet
FIITJEE WORK, POWER & ENERGY Day:05(21.05.2021)
1. C 2. C 3. C 4. A 5. B 6. D 7. C 8. AB 9. BD 10. ABC
11. ABCD 12. ABC 13. ABD 14. ABC 15. 9 16. 5 17. 9 18. 8 19. 3 20. 5
21. 1 22. B 23. A 24. B 25. A
Revision Paper by Aman Sir (AMSP)
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