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Laws of Motion Test - 6

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Laws of Motion Test - 6
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  • Question 1
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    Force F at a point in space (location of the particle) at a certain instant of time t is

    Solution

    According to Newton's second law of motion the acceleration of a point mass as produced by a net force is directly proportional to the magnitude of the net force at that point in the same direction as the net force at that instant

    F = ma

  • Question 2
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    In the arrangement shown in the figure below, the strings are light and inextensible. The surface over which the blocks are placed is smooth. What is the acceleration of each block?

  • Question 3
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    Impulse is

    Solution

    A resultant force causes acceleration and a change in the velocity of the body for as long as it acts.The change in momentum is equal to the product of the average force and duration. Conversely, a small force applied for a long time produces the same change in momentum, the same impulse, as a larger force applied for a short time interval.

    Impulse J is

    The impulse is the integral of the resultant force (F) with respect to time

     

  • Question 4
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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 minutes, the net displacement and average speed of the cyclist respectively (in m and km/hr) are

  • Question 5
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    The force acting on a freely falling body in terms of mass m and acceleration due to gravity g is

    Solution

    according to newton's second law of motion 

    F = ma

    here acceleration is due to gravity and is  equal to g.

    So that for a freely falling body

    F = mg

  • Question 6
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    Physical independence of force is a consequence of
  • Question 7
    1 / -0
    The following figure is part of a horizontally stretched net. Section 'AB' is stretched with a force of 10 N. The tensions in the sections 'BC' and 'BF', respectively, are

  • Question 8
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    For a body moving with constant speed in a horizontal circle, which of the following remains constant? 
  • Question 9
    1 / -0
    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 10
    1 / -0
    A particle revolves around a circular path. The acceleration of the particle is 
  • Question 11
    1 / -0
    The first law of motion is also known as the law of 
  • Question 12
    1 / -0
    When a force F acts on a body of mass m, the acceleration produced in the body is a. If three equal forces F1 = F2 = F3 = F act on the same body as shown in the figure, then the acceleration produced is

  • Question 13
    1 / -0
    A block moving on a surface with velocity 20 m/s comes to rest because of surface friction after covering a distance of 40 m. Taking g = 10 m/s2, the coefficient of dynamic friction is:
  • Question 14
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    If the velocity of a body is increased two times, then its momentum is
  • Question 15
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    The rate of change of momentum is
  • Question 16
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    If coefficient of static friction is µs, and coefficient of kinetic friction is µk then, which of the following expressions is correct?
  • Question 17
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    A particle moves in a circle of radius 25 cm at the rate of two revolutions per second. The acceleration of particle is
  • Question 18
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    The angular velocity of the hour hand of a watch is
  • Question 19
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    mv2/r  is_________
  • Question 20
    1 / -0

    If second law is applied to a rigid body

    Solution

    a rigid body is characterized by the fact that the distances between any two particles that make up the body is constant in time. This means that instead of talking about the motion of each particle, we can talk about the motion of any one point in the body and of the body as a whole with reference to this one particle. The most convenient choice for this one point is the Centre of Mass


  • Question 21
    1 / -0
    When a horse pulls a wagon, the force that causes the horse to move forward, is the force that
  • Question 22
    1 / -0
    According to Newton's second law of motion, force is equal to 
  • Question 23
    1 / -0
    A lift is moving downwards with an acceleration equal to acceleration due to gravity. A body of mass m kept on the floor of the lift is pulled horizontally. If the coefficient of friction is µ, then the frictional resistance offered by the body is
  • Question 24
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    A student, unable to answer a question on Newton's laws of motion, attempted to pull himself up by tugging on his hair. He will not succeed as
  • Question 25
    1 / -0

    The second law of motion is a vector law. It is equivalent to

    Solution

     

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