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Laws of Motion Test - 5

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Laws of Motion Test - 5
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  • Question 1
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    A block is placed on an inclined plane. The angle of inclination () of the plane is such that the block slides down the plane at a constant speed. The coefficient of kinetic friction between the block and the inclined plane is equal to
  • Question 2
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    When several forces act on a body

    Solution

    Force is a vector quantity. When several forces act on a body the effect on its motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the body

  • Question 3
    1 / -0
    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 4
    1 / -0

    Second law in terms of momentum p and mass m is

    Solution

    Applied force is directly proportional to rate of change of momentum.

  • Question 5
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    A block of mass 2 kg is placed on the surface of a trolley of mass 20 kg, which is on a smooth surface. The coefficient of friction between the block and the surface of the trolley is 0.25. If a horizontal force of 2 N acts on the block, then the acceleration of the system (in ms-2) (g = 10 ms-2) is
  • Question 6
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    Force is a

    Solution

    Newton's second law of motion gives the quantitative definition of force. The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object

  • Question 7
    1 / -0
    A disc of radius r = 20 cm is rotating about its axis with an angular speed of 20 rad s–1. It is gently placed on a horizontal surface which is perfectly frictionless (as shown in the figure). What is the linear speed of point A on the disc?


  • Question 8
    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 9
    1 / -0
    A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at a height h = 5 cm. What is the maximum value of R for the body to successfully complete the loop?

  • Question 10
    1 / -0
    An ice cart of mass 60 kg rests on a horizontal snow patch with coefficient of static friction 1/3. Assuming that there is no vertical acceleration, find the magnitude of the minimum horizontal force required to move the ice cart. (g = 9.8ms-2)
  • Question 11
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    A car is moving in a circular track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1 m. The angle made by the rod with the vertical is   ( take g = 10 m/s2)
  • Question 12
    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 13
    1 / -0
    A rock weighing 30 N falls from a height of 15 m and sinks 0.5 m into the ground. The average force between the rock and the ground, as the rock sinks, is
  • Question 14
    1 / -0
    Two masses M and M/2 are joined together by means of a light inextensible string and passed over a frictionless pulley as shown in the figure. When the bigger mass is released, the smaller one will ascend with an acceleration of

  • Question 15
    1 / -0
    A body is dropped from height h. If the coefficient of restitution is e, then calculate the height achieved after one bounce.
  • Question 16
    1 / -0
    A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then the maximum velocity with which the car can move is
  • Question 17
    1 / -0
    What should be the angle of banking for speed v and curved track of radius r?
  • Question 18
    1 / -0
    A body takes time t to reach the bottom of an inclined plane of angle θ with the horizontal. If the plane is made rough, time taken now is 2t. The coefficient of friction of the rough surface is
  • Question 19
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    second law of motion  in terms of acceleration a⃗  and mass m of a body is

    Solution

    The second law states that the rate of change of momentum of a body is directly proportional to the force applied, and this change in momentum takes place in the direction of the applied force.

  • Question 20
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    The v-t graph of a linear motion is shown in adjoining figure. What is the distance from origin after 8 seconds?
  • Question 21
    1 / -0

    If a body is in equilibrium

    Solution

    The vector sum of all the forces acting on a body is zero.

  • Question 22
    1 / -0
    The pulleys and the strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, angle θ should be

  • Question 23
    1 / -0
    The combined mass of a rider and a motorcycle is 200 kg. The rider is to negotiate a curve of 80 m radius at a speed of 72 kmh–1. The angle at which the rider must lean to avoid falling is given by (Take g = 10 ms–2)
  • Question 24
    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 25
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    An elevator car whose floor to ceiling distance is equal to 2.7 m starts ascending with constant acceleration of 1.2 m/s2. 2 sec after the start, a bolt begins falling from the ceiling of the car. What is the free fall time of the bolt? (g = 9.8 m/s2)
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