JEE
Prayas JEE (2026)
                                                             Physics
                                                                                                                        DPP: 4
                                                    Laws of Motion
Q1 Three blocks A, B and C of masses 4         kg, 2 kg                  A man of mass 90       kg   is standing in an elevator
     and 1 kg respectively, are in contact on a                          whose cable broke suddenly. If the elevator falls,
     frictionless                                                        apparent weight of the man is:
     surface, as shown. If a force of 14   N   is applied on             (A) 90   N
     the 4   kg   block, then the contact force between                  (B) 90   g N
     A   and B is:                                                       (C) 0    N
                                                                         (D) Any negative value
                                                                     Q4 Force of 3     N   acts on a system of two blocks of
                                                                          mass 2 kg and 1     kg   as shown in figure. Contact
                                                                          force between the block is:
     (A) 6   N
     (B) 8   N
     (C) 18   N
     (D) 2   N
Q2 Three blocks with masses m, 2       m   and 3   m   are
     connected by strings, as shown in the figure.                        (A) 1   N
     After an upward force F is applied on block m ,                      (B)   2 N
     the masses moves upward at constant speed v.                         (C) 3   N
     What is the net force on the block of mass 2       m    ?            (D) 0
     ( g is the acceleration due to gravity)
                                                                     Q5 Three blocks are connected as shown, on a
                                                                         horizontal frictionless table and pulled to the
                                                                         right with a force 60     N  . If
                                                                         m1 = 10 kg, m2 = 20 kg              and m3   = 30 kg   ,
                                                                         the tension T2 is -
                                                                         (A)    10 N
                                                                         (B) 20   N
                                                                         (C) 30   N
     (A)                                                                 (D) 60   N
           6mg
     (B) zero                                                        Q6 With what acceleration a should the box in the
     (C) 2mg                                                             figure moving up so that the block of mass M
     (D) 3mg                                                             exerts a force 7Mg/4 on the floor of the box?
Q3
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                                                                       passing over a frictionless pulley. The tension in
                                                                       the string is
                                                                       (A)   M +m
                                                                                 m
                                                                                      g
    (A) g/4                     (B) g/2                                (B)   M +m
                                                                                 M
                                                                                      g
    (C) 3g/4                    (D) 4g                                 (C)   M +m
                                                                                 Mm
                                                                                      g
                                                                       (D)       Mm
                                                                                      g
Q7 In the given arrangement, n number of                                     M +m
    equal masses are connected by strings of                     Q11 Three identical masses each of mass 4     kg   are
    negligible masses. The tension in the                             connected by massless inextensible strings. The
    string connected to nth mass is                                   string joining A and B passes over a massless
                                                                      frictionless pulley as shown in figure. The tension
                                                                      in the string connecting mass B and C is
    (A)   mMg
          nm+M
    (B)   mMg
          nmM
    (C) mg
    (D)   mMg
          nm−M
Q8 Three blocks of masses m1 , m2 and m3 are
    connected by massless string as shown kept on a
    frictionless table.They are pulled with a force
    T3 = 40 N    . If m1           ,
                           = 10 kg m2 = 6 kg           and
    m3 = 4 kg    , the tension T2 will be
                                                                      (A) 40     N
                                                                      (B) 20     N
                                                                      (C) 26.67       N
    (A) 20   N
                                                                      (D) 13.33       N
    (B) 40   N
    (C) 10   N
                                                                 Q12 For the system shown, string and pulley are
    (D) 32   N
                                                                      massless. The pulley is smooth. Acceleration of
                                                                      the lighter block is: ( g is acceleration due to
Q9 Three blocks of masses 4      kg, 2 kg      and 1   kg
                                                                      gravity)
    respectively are in contact on a frictionless table
    as shown in the figure. If a force of 14      N    is
    applied on the 4   kg   block, the contact force
    between the 4   kg     and the 2   kg   block will be
    (A) 2   N
    (B) 6   N
    (C) 8   N
    (D) 14   N
                                                                      (A) g
                                                                             g
Q10 A block of mass M placed on a frictionless                        (B)    3
                                                                             g
     horizontal table is pulled by another block of                   (C)    9
     mass m hanging vertically by a massless string                   (D) Zero
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Q13 In the figure shown, surface is frictionless. Forces               which 4   kg      mass starts moving up is [Take
      are applied as shown in figure, then find tension                g = 10 m/s
                                                                                         2
                                                                                             ]
      T2   .
      (A)      250
                3
                     N
      (B)      190
                3
                     N
      (C) 90         N
      (D) 50         N
                                                                       (A)   1 m/s
                                                                                     2
                                                                       (B) 2   m/s
                                                                                     2
Q14 In the given figure a boy of mass 40        kg   is just
                                                                       (C) 5   m/s
                                                                                     2
      pulling a mass of 5     kg   at an angle of 30∘ with
                                                                       (D) 4   m/s
                                                                                     2
      the horizontal. While the boy is standing on a
      weighing machine, what would be its reading?
      (A)      37.5 kg
      (B) 40         kg
      (C) 42.5           kg
      (D) 38.5           kg
Q15 A block of mass M is pulled by a force F
      making angle θ with horizontal on a smooth
      horizontal surface as shown. If a is the
      acceleration of block on the surface, then contact
      force between the block and the surface is
      (A) M g + M a cos θ
      (B) M g − M a cos θ
      (C) M g + M a tan θ
      (D) M g − M a tan θ
Q16 In the system shown, pulley is massless and
      string is light and inextensible. Acceleration with
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                  Answer Key
Q1   (A)                     Q9    (B)
Q2   (B)                     Q10   (D)
Q3   (C)                     Q11   (C)
Q4   (A)                     Q12   (B)
Q5   (C)                     Q13   (A)
Q6   (C)                     Q14   (A)
Q7   (A)                     Q15   (D)
Q8   (D)                     Q16   (C)
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