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Laws of Motion Test - 4

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Laws of Motion Test - 4
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  • Question 1
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    The coefficient of static friction (µs) between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B, so that the two blocks do not move?
    Note: The string and the pulley are assumed to be smooth and massless. (Take g = 10 m/s2)

  • Question 2
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    Momentum of a body is

    Solution

    Explanation:

     

  • Question 3
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    The first law of motion is also known as the law of 
  • Question 4
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    According to first law of motion

    Solution

    If net force act on a body then acceleration of the body will also be zero.Hence velocity will not be changed i.e. it continues in its existing state of rest or uniform motion in a straight line.

  • Question 5
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    Two blocks of masses m1 = 3 m and m2 = 2 m are suspended from a rigid support by two inextensible uniform wires A and B. Wire A has negligible mass and wire B has a mass m3 = m as shown in the figure. The whole system of blocks, wires and the support has an upward acceleration a.



    The tension at the midpoint C of wire B is
  • Question 6
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    force is required

    Solution

    force is required to start a stationary object and to stop a moving object due to inertia. Inertia is a property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force. This is also called law of inertia or newton's first law of  motion

  • Question 7
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    Angular velocity of hour hand of a watch is
  • Question 8
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    When a horse pulls a wagon, the force that causes the horse to move forward, is the force that
  • Question 9
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    The minimum force required to move a body up an inclined plane of inclination 30o is found to be thrice the minimum force required to prevent it from sliding down the plane. The coefficient of friction between the body and the plane is 
  • Question 10
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    A cyclist starts from the centre 'O' of a circular park of radius 1 km, reaches the edge 'P' of the park, then cycles along the circumference and returns to the centre along 'QO' as shown in the figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist respectively (in m and km/hr) are

  • Question 11
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    A cubical block of mass 'm' rests on a rough horizontal surface. μ is the coefficient of static friction between the block and the surface. A force mg, acting on the cube at an angle θ with the vertical side of the cube, pulls the block. If the block is to be pulled along the surface, then the value cot(θ/2) is 
  • Question 12
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    A stone of mass m tied to a string of length l is rotating along circular path with constant speed v. The torque on the stone is 
  • Question 13
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    According to Newton's second law of motion, force is equal to 
  • Question 14
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    A stone of mass 200 g is tied to the end of a 1 m long string. Holding the string at the other end, it is whirled in horizontal circles. If the speed of the stone is 10 m/s, calculate the centripetal force.
  • Question 15
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    What is the value of linear velocity, if angular velocity is 3– 4+  and distance from the centre is 5 – 6 + 6?
  • Question 16
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    The rate of change of momentum is
  • Question 17
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3 then its velocity is (g = 9.8 m/s2)
  • Question 18
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    The figure shows two blocks A and B pushed against a smooth wall with force F. The wall is smooth, but the surface of contact of A and B is rough. Which of the following is true for the system of blocks?

  • Question 19
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    Inertia refers to

    Solution

    Inertia is the resistance of any physical object to any change in its state of motion; this includes changes to its speed, direction, or state of rest. It is the tendency of objects to keep moving in a straight line at constant velocity. Inertia is a property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.

  • Question 20
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    A force acts for 10 s on a body of mass 100 kg, after which the force ceases to act and the body describes 160 m in the next 8 s. What is the magnitude of the force?
  • Question 21
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    According to Newton's second law of motion

    Solution

    If mass does not change then acceleration of a particle is dependent on the forces acting upon the particle and the particle's mass. For a given particle, if the net force is increased, the acceleration is increased. For a given net force, the more mass a particle has, the less acceleration it has.

    hence the rate of change of momentum of a body is directly proportional to the applied force

  • Question 22
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    A spring is compressed between two blocks of masses m1 and m2 placed on a horizontal frictionless surface as shown in the figure. When the blocks are released, they have initial velocities of v1 and v2 as shown. The blocks travel distances x1 and x2, respectively, before coming to rest. The ratio x1/x2 is

  • Question 23
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    A ball of mass 0.6 kg attached to a light inextensible string rotates in a vertical circle of radius 0.75 m. It has a speed of 5 ms-1 when the string is horizontal. Tension in string when it is horizontal on the other side is (Take g = 10 ms-2)
  • Question 24
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    A force F is applied horizontally to a block A of mass m1 which is in contact with a block B of mass m2 as shown in the figure. If the surfaces are frictionless, the force exerted by A on B is given by:

  • Question 25
    1 / -0
    A small block is shot into each of the four tracks as shown below. Each of the frictionless tracks rises to the same height. The speed with which the block enters the tracks is the same in all the cases. At the highest point of the track, normal reaction is the maximum in
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