Newtons law of motion and Friction questions with solutions

Showing 1–10 of 109 questions

• MCQeasyNewtons law of motion and Frictionnewton second law and problem based on it

  A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time t. Which of the following curve best describes acceleration of the block with time:

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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• MCQdifficultNewtons law of motion and Friction

  A block of mass m is placed on a block of mass 2m. The lower block rests on a smooth floor. Coefficient of static friction between blocks is μ. A horizontal force F is applied to the upper block. The friction required to make the blocks move together is 4μmg/3. Which statement is correct?

  Options

  • Option A

    The blocks can move together because 4μmg/3 < μmg

  • Option B

    The blocks can move together only if F = μmg

  • Option C

    The blocks must slip because required friction exceeds limiting friction μmg

  • Option D

    Friction becomes zero

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• MCQdifficultNewtons law of motion and Friction

  Three blocks of masses 2 kg, 3 kg and 5 kg are kept in contact in that order on a smooth horizontal surface. A horizontal force of 40 N is applied on the 2 kg block. The contact force between the 3 kg and 5 kg blocks is:

  Options

  • Option A

    8 N

  • Option B

    12 N

  • Option C

    20 N

  • Option D

    32 N

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• MCQmediumNewtons law of motion and Frictionspring related problem

  A movable pulley of negligible mass carries a block of mass m. One end of a light inextensible string is fixed to the roof of a lift; the string passes under the movable pulley and its other end is attached to the lower end of a vertical spring of force constant k whose upper end is also fixed to the lift. The lift accelerates vertically upward with acceleration a. The equilibrium extension of the spring is:

  Options

  • Option A

    m(g+a)/k

  • Option B

    m(g+a)/(2k)

  • Option C

    m(g-a)/(2k)

  • Option D

    mg/(2k)

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• MCQmediumNewtons law of motion and Frictionsimple pulley problem

  Three masses are connected by two light strings and a fixed smooth pulley. A 4 kg mass hangs on the left side of the upper string. On the right side of the same string hangs another 4 kg mass, and a 6 kg mass is suspended below it by a second string. Let T₁ be the tension in the upper string and T₂ the tension in the lower string. Taking g = 10 m·s⁻², what is the ratio T₁/T₂?

  

  Options

  • Option A

    5/3

  • Option B

    2/3

  • Option C

    3/5

  • Option D

    2/5

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• MCQeasyNewtons law of motion and Frictionnewton second law and problem based on it

  At t = 0, a body of mass 100 g starts from rest under the action of a constant force F = (5î+10ĵ) N. After 2 s, its position vector is r = (2x î+5y ĵ) m. What is the ratio x:y?

  Options

  • Option A

    1:2

  • Option B

    2:5

  • Option C

    5:2

  • Option D

    5:4

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• MCQeasyNewtons law of motion and Frictiontypes of friction and problem based on it

  Given below are two statements : Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials. Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials. In the light of the above statements, choose the most appropriate answer from the options given below :

  Options

  • Option A

    Statement I is correct but Statement II is incorrect

  • Option B

    Statement I is incorrect but Statement II is correct

  • Option C

    Both Statement I and Statement II are incorrect

  • Option D

    Both Statement I and Statement II are correct

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• MCQdifficultNewtons law of motion and Friction

  A block of mass m is on a rough horizontal surface with coefficient of static friction μ. A force F is applied at an adjustable angle θ above the horizontal. The minimum magnitude of F required to initiate motion is:

  Options

  • Option A

    μmg

  • Option B

    μmg/√(1+μ²)

  • Option C

    μmg/(1+μ)

  • Option D

    mg√(1+μ²)

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• MCQdifficultNewtons law of motion and Friction

  An incline of angle θ rises towards the right and accelerates horizontally towards the right with acceleration a. A block remains stationary relative to it. If g sinθ > a cosθ, the minimum coefficient of friction required is:

  Options

  • Option A

    (g sinθ - a cosθ)/(g cosθ + a sinθ)

  • Option B

    (g sinθ + a cosθ)/(g cosθ - a sinθ)

  • Option C

    a/g

  • Option D

    tanθ

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• MCQdifficultNewtons law of motion and Friction

  Two blocks m₁ and m₂ are in contact on a horizontal rough floor. Their coefficients of kinetic friction with the floor are μ₁ and μ₂, respectively. A horizontal force F is applied to m₁, pushing both blocks towards m₂. Assuming both slide while remaining in contact, the contact force on m₂ is:

  Options

  • Option A

    [m₂F + m₁m₂g(μ₁ - μ₂)]/(m₁+m₂)

  • Option B

    m₂F/(m₁+m₂)

  • Option C

    μ₂m₂g

  • Option D

    m₁F/(m₁+m₂)

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