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    PHYSICS COURSE(AIIMS/JEE (MAINS ADVANCE) /MPPET/MPPMT-2014) SARASWATIEDUCATIONAL INS

    WORK ENERGY AND POWER CLASS TEST NO -3 September 09, 2013

    1. A body of mass m kgis lifted by a man to a height

    of one meter in 30 sec. Another man lifts the same

    mass to the double height in 60 sec. The work

    done by them are in the ratio

    (a) 1:2 (b)1 : 1

    (c) 2 : 1 (d) 4 : 12. A body of mass 3 kg is dropped to the ground

    from a height of 10 metres. The work done by the

    gravitational force is

    (a) 490 J (b)+ 490 J

    (c)980 J (d) + 300 J

    3. A body of mass 999 kgis placed at the origin, and

    can move only on the x-axis. A force of 1.25 N is

    acting on it in a direction making an angle of o60

    with the x-axis and displaces it along the x-axis by4 metres. The work done by the force is

    (a) 2.5J (b)7.25J

    (c) 40J (d) 20J

    4. A uniform chain of length L and mass M is lying

    on a smooth table and one sixth of its length is

    hanging vertically down over the edge of the table.

    If g is acceleration due to gravity, the work

    required to pull the hanging part on to the table is

    (a) MgL (b) (c)

    (d)

    5. The object moving with constant velocity on

    frictionless surface then total work done is

    (a) Negetive (b) Positive

    (c) Zero (d) none

    6. A ball is released from the top of a tower. The

    ratio of work done by force of gravity in first,

    second and third second of the motion of the ballis

    (a) 1 : 2 : 3 (b) 1 : 4 : 9

    (c) 1 : 3 : 5 (d) 1 : 5 : 3

    7. A light and a heavy body have equal momenta.

    Which one has greater K.E

    (a) The light body (b) The heavy body

    (c) The K.E. are equal (d) Data is incomplete

    8. If the increase in the kinetic energy of a body

    525% then the increase in the momentum will b

    (a) 150% (b) 250%

    (c) %300 (d) 265%

    9. Two bodies A andB having masses in the ratio

    4 : 1 possess the same kinetic energy. The ratiotheir linear moment is then

    (a) 2: 1 (b) 4 : 1

    (c) 1 : 2 (d) 16 : 1

    10. in given figure pendulum of length l and mass

    bob m is displaced from A to B then work done

    gravity is

    (a)2

    mgl

    (b)3

    2mgl

    (c) 2mgl (d)1

    2mgl

    11. A car moving with a velocity of 19 m/s can

    stopped by the application of a constant force F

    a distance of 12 m. If the velocity of the car is

    m/s, it can be stopped by this force in

    (a)19m (b)48 m

    (c) 60 m (d) 24 m

    12.

    Which one of the following is not a conservatforce

    (a) Gravitational force

    (b) Electrostatic force between two charges

    (c) Magnetic force between two magnetic dipole

    (d) Frictional force

    13. The potential energy of a body is given b

    U = 28 (Where x is the displacement). The

    force acting on the particle is

    (a)16x (b)8x(c)x (d)-16x

    14. The potential energy of a body is given b

    U=2

    8 4

    r r The particle is in equilibrium when

    (a) r =1 meter (b) r =1meter

    (c) r =4 meter (d) r = Zero

    60o

    B

    A

    O

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    15. The potential energy of a particle varies with

    distancex as shown in the graph.

    The force acting on the particle is zero at

    (a) R (b) Q

    (c) P and S (d) R and Q

    16. Two springs have their force constant as 1k and

    2 1 2( )k k k . When they are stretched by the same

    force

    (a) No work is done in case of both the springs

    (b) Equal work is done in case of both the springs

    (c)More work is done in case of second spring

    (d) More work is done in case of first spring17. When a spring is stretched by 2 cm, it stores 300J

    of energy. If it is stretched further by 2 cm, the

    stored energy will be increased by

    (a) 100J (b)200J

    (c) 1200J (d) 900J

    18. The block of mass 2kgmoving on the frictionless

    horizontal surface collides with the spring of

    spring constant 450N/m compresses is 10 cm ,then maximum velocity of mass is

    (a)15 m/s

    (b)1.5 cm/s K

    (c)Zero

    (d)150 cm/s

    19. The block of mass m moving with velocity v on

    the frictionless horizontal surface collides with the

    spring of spring constant k then maximum

    compresses is

    (a) 8 .m vk

    (b)

    .8

    kv

    m v

    (c)2m

    vk

    (d)

    mv

    k

    20. when a pendulum of length l/2 and bob mass m

    released at horizontal position then its velocity at

    vertical position is

    (a) 2gl (b) gl

    (c) 3gl (d)zero

    21. What is the velocity of the bob of a sim

    pendulum at its mean position, if it is able to r

    to vertical height of 45cm

    (a) 0.6 m/s

    (b) 1.4 m/s

    (c) 1.8 m/s

    (d)3 m/s

    22. when a body of 2kg relies at point P(frictionles

    Circular) to Q .Then find out its velocity on po

    Q ( R=5m)

    (a)v =10 m/s (b) v >10 m/s

    (c) v

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    27. A car of mass 1250 kg is moving at 30m/s. Its

    engine delivers 30 kWwhile resistive force due to

    surface is 1000N. What max acceleration can be

    given in the car

    (a) 2/3

    1sm

    (b) 2/

    4

    1sm

    (c) 2/5

    1sm

    (d) Zero

    28. The average force necessary to stop a bullet of

    mass m moving with a speed of v , as it

    penetrates into the wood for a distance of d is

    (a)22mu

    d (b)

    2mu

    d

    (c)2

    2

    mu

    d (d)

    2

    mu

    d

    29. A body at rest may have

    (a) Energy

    (b) Momentum

    (c) Speed

    (d) Velocity

    30. A ball of mass m thrown vertically upwards

    with velocity u by the hand of a person. In this

    process his hand moved at a distance x in

    upwards. work done by person is :-

    (a)

    ()(b)

    +

    (c) (d)

    31. Work done by the centepratical force F in one

    complete cycle of circular path of radius 10 m is

    (a)20 F (b) 20 F(c) 10 F (d) Zero

    32. Object of m is slipping on frictionless

    hemisphere of radius 1.8 m from its one endto bottom. Velocity of object of at lower

    point is(a) 6 m/s (b) 12 m/s

    (c) 4 m/s (d) 8 m/s

    33. Dimensional formula of power is &

    (a) M1 L2 T2 (b) M1 L1 T2

    (c) M1 L2 T3 (d) M1 L1 T2

    34. kis the force constant of a spring .The work don

    In increasing its extension from l1 to l2 &

    (a) ( ) (b) ( )(c) ( ) (d) ( + )

    35. A body of mass 0.1 kgmoving with a velocity

    10 m/s hits a spring (fixed at the other end)

    force constant 1000 N/m and comes to rest af

    compressing the spring. The compression of

    spring is

    (a) 0.01m (b) 0.1 m

    (c) 0.2 m (d) 0.5 m

    36. work done to displaced a block of mass 2 kg i

    inclined plane at a height of 10 m is 300J .Th

    work done against friction is [ 'g' =10 m/s2]

    (a) 100 J (b) 200 J

    (c) 300 J (d) Zero

    37. Which of the following is not the unit of work

    (a) Calorie (b) Joule

    (c) Electron-Volt (d) Watt

    38. The force constants of two springs are k1 and

    respectively. Both are stretched till their potent

    energies are equal .The forces F1 and F2 appliedthem are in the ratio

    (a) k1 :k2 (b) k2 : k1

    (c) (d)2 139. From a waterfall, water is falling down at the r

    of 100 kg/s on the blades of turbine. If the heig

    of the fall is 100 m, then the power delivered

    the turbine is approximately equal to

    (a) 100 kW (b) 10 kW(c) 1 kW (d) 1000 kW

    40. If a object freely falling towards earth then its to

    energy

    (a) Increase

    (b) Decrease

    (c) constant

    (d) Some time increase some time decrease

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    41. Rate of water up lifting in kilogram per sec from a

    bell of depth 7.46 meter by the machine of 5

    horse power is :-

    (a) 500 kg (b) 50gram

    (c) 25 kg (d) 50 kg

    42. A women pulling the box on the rough surface of

    railway platform during the distance 10 m .she

    applied constant force 100 N then after she

    decreased force linearly up to 50 N.(further 10m

    friction on box by surface is 50 N ). If total

    displacement is 20 meter then work done by

    women is

    (a) 175 N (b) 1750 N

    (c) 1500 N (d) 2000 N

    43. A weightlifter lifts a weight off the ground and

    holds it up

    (a) Work is done in lifting as well as holding theweight

    (b) No work is done in both lifting and holding the

    weight

    (c) No work is done in both lifting and holding the

    weight

    (d) No work is done in lifting the weight but work

    is required to be done in holding it up

    44. A rope ladder with a length lcarrying a man with

    a mass m at its end is attached to the basket of aballoon with a mass M. The entire system is in

    equilibrium in the air .As the man climbs up the

    ladder in to the balloon, the balloon descends by a

    height h. Then the potential energy of the man

    (a) increases by mg(1-h)

    (b) increases by mgl

    (c) increases by mgh

    (d) increases by mg (2l-h)

    45. The potential energy of a 1kg particle free to move

    along the x-axis is given by

    () = 4 2

    The total mechanical energy of the particle is

    2J.Then the maximum speed (in m/s) is

    (a)2 (b)

    (c) (d) )

    46. N similar slabs of cubical shape of edge b are lying

    ground. Density of material of slab is D. Work done

    arrange them one over the other is

    (a) ( 1) (b) ( 1)(c) ( ) (d) ( )

    47. In a childrens park, there is a slide which ha

    total length of 10 m and a height of 8m .

    vertical ladder is provided to reach the top. A bweighing 200 N climbs up the ladder to the top

    the slide and slides down to the ground. T

    average friction offered by the slide is three te

    of his weight .Then :

    (a) The Work done by ladder on the boy as he

    goes up is zero

    (b) The Work done by ladder on the boy as he

    goes up is 1600 J

    (c) The Work done by slide on the boy as he

    comes down is 600 (d) The Work done by gravity on the boy as he

    comes down is 1600 48. A smooth track in from of a quarter circle

    radius 6 m lies in the vertical plane. A parti

    moves from P1 to P2 under the action of forces

    , and . Force is always towards P2 ais always 20N in magnitude .Force always ahorizontally and always 30 N in magnitude. For

    always acts tangentially to the track and ismagnitude 15 N. correct magnitude of work don

    Are

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    (a) W1= W2 =W3 = 120 J

    (b) W1=169.6 J ,W2 =180 J , W3 = 141.3 J

    (c) W1=140 J , W2 =160 J , W3 = 180 J

    (d)W1=120 J , W2 =180 J , W3 = 141.3 J

    49. In given figure masses 2m and m released from

    rest at same height 50 m from the surface (string

    and pulley are mass less & no any friction in it )

    After 2 sec the velocity of mass m is

    and

    velocity of mass 2m is . Find out the total workdone by gravity in 2 second on this system is(a)

    (b)

    (c)

    (d) Zero

    50. In given figure lift is moving vertical upwa

    with velocity 10 m/s. In this lift incline plane

    length S and horizontal base x is placed fix

    w.r.t. lift. Object of mass m released at point A

    inclined plane. It moved through the inclin

    plane & then after travel distance d on horizon

    surface before come to rest. Find out the to

    work done by friction in its motion ( coefficient

    friction of inclined is and horizontal surface

    (a) ( + ) ( + )(b) {( ) + }(c) { + }(d)

    m 2m

    100 m 100 m

    50 m

    CP

    B

    A

    d x

    S

    10mLift

    1

    2

    P2

    P1

    6m

    6m

    F3

    F2

    F