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Laws of Motion Test - 62

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Laws of Motion Test - 62
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  • Question 1
    1 / -0
    A particle of mass $$2$$ kg moving with a velocity of $$3$$ m/s is acted upon by a force which changes its direction of motion by an angle of $$90^o$$ without changing its speed. What is the magnitude of impulse experienced by the particle?
    Solution
    $$\vec{P_1}=2\times 3\hat{i}=6\hat{i},\vec{P_2}=6\hat{j}$$
    $$\vec{I}=\vec{P_2}-\vec{P_1}=6\hat{j}-6\hat{i}$$
    or $$I=\sqrt{6^2+6^2}=6\sqrt{2}Ns$$.

  • Question 2
    1 / -0
    Three blocks A, B and C are suspended as shown below. mass of each of block A and B is m . if the system is in equilibrium , and mass of C is M then :  

    Solution

  • Question 3
    1 / -0
    A gun recoils after firing to conserve:
    Solution
    According to law of conservation of momentum, initial momentum is equal to the final momentum.
     So, in order to conserve momentum, the gun recoils. Velocity, force and speed are not conserved.
  • Question 4
    1 / -0
    The momentum of a body of given mass is proportional to its:
    Solution
    The property or tendency of a moving object to continue moving is called momentum. For an object moving in a line, the momentum is the mass of the object multiplied by its velocity. Volume, density, and shape does not determine the momentum.
  • Question 5
    1 / -0
    Newton's third law:
    Solution
    Newton's third law explains the way a force acts on a body.
    It states that to every action there is always an equal and opposite reaction.

  • Question 6
    1 / -0
    A tennis ball and a cricket ball, both are stationary. To start motion in them:
    Solution
    A less is required for the tennis ball than for the cricket ball
    Cricket ball is move massive than tennis ball hence cricket ball acquires much smaller velocity than a tennis ball when the two ball are pushed with equal force the same duration.
  • Question 7
    1 / -0
    An aircraft is moving with a velocity of $$300 \ ms^{-1}$$. If all the forces
    acting on it are balanced, then 
    Solution

    F = ma

    If the forces are balanced, F=0, which implies a=0. If there's no acceleration, then the velocity is constant. The solutions are trajectories of constant velocity, which means the aircraft will move along a straight line with uniform speed.

  • Question 8
    1 / -0
    Roads are banked on curves so that
    Solution
    Roads are banked on curves so that component of weight of vehicle provides centripetal force and The speeding vehicles may not fall outwards
  • Question 9
    1 / -0
    Unit of momentum is:
    Solution
    According to Newton's second law
    $$Force$$ = $$\frac{dP}{dT}$$
    so $$dP=Force\times {dT}$$
    So unit of $$dP$$ (Momentum) is $$Newton \times sec$$

  • Question 10
    1 / -0
    The maximum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l
    Solution

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