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Work Energy and Power Test - 73

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Work Energy and Power Test - 73
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Weekly Quiz Competition
  • Question 1
    1 / -0
    In a simple hydraulic press, the cross-sectional area of the two cylinders is 5×104m25\times 10^{-4}m^2 and 102m210^{-2}m^2, respectively. A force of 2020N is applied at the small plunger. How much work is done by the operator, if the smaller plunger moves down 0.10.1m?

    Solution

  • Question 2
    1 / -0
    A vertical spring of force constant 100100N/m is attached with a hanging mass of 1010kg. Now an external force is applied on the mass so that the spring is stretched by additional 22m. The work done by the force F is? (g=10m/s2)(g=10 m/s^2)

    Solution

    Given that,

    Spring constant k=100k=100

    Mass m=10kgm=10\,kg

    Stretching x=2mx=2\,m

    We know that,

    The work done is

      W=12kx2 W=\dfrac{1}{2}k{{x}^{2}}

     W=12×100×4 W=\dfrac{1}{2}\times 100\times 4

     W=200J W=200\,J

    Hence, the work done is 200 J200\ J

  • Question 3
    1 / -0
    A block is attached with a spring and is moving towards a fixed wall with speed V as shown in figure. As the spring reaches the wall, it starts compressing. the work done by the spring on the wall during the process of compression is

    Solution

  • Question 4
    1 / -0
    A ball moving with a velocity of 6 m/s strikes an identical stationary ball. After collision each ball moves at an angle of 3030^{\circ} with the original line of motion. What are the speeds of the balls after the collision?
    Solution

  • Question 5
    1 / -0
    The diagram shows a barrel of weight 1.0×1031.0 \times 10^3 N on a frictionless slope inclined at 30030^0 to the horizontal. A force is applied to the barrel to move it up the slope at constant speed. The force is parallel to the slope. What s the work done in moving the barrel a distance of 5.0 m up the slope?

    Solution

  • Question 6
    1 / -0
    A practical of mass mm is moving in XYX-Y plane under the action of a central force F\overrightarrow { F } in such a manner that at any instant tt, the components of the velocity of the particle are-vx=4cost,vy=4sint{ v }_{ x }=4\cos { t,{ v }_{ y }=4sint} Then the amount of the work done by the force in a time interval t=0t=0 to tt is-
    Solution

  • Question 7
    1 / -0
    A uniform rod AB of length land mass m is lying on a smooth table. A small particle of mass m strike the rod with a velocity V0V_{0} at point C a distance X from the centre O. The particle comes to rest after collision. The value of x, so that point A of the rod remains stationary just after collision is:

    Solution

  • Question 8
    1 / -0
    The collision of two balls of equal mass takes place at the origin of co-ordinates. Before collision, the components of velocities are (yx=50cm/sy_{x}=50 cm/svv=0)v_{v}=0) and (vx=40cm/s)(v_{x}=-40 cm/s) and velocity components (vxv_{x} and vyv_{y} respectively) of the second ball are: 
    Solution

  • Question 9
    1 / -0

    Two identical balls  are released from positions as shown. They collide elastically on horizontal surface. Ratio of heights attained by A & B after collision is( All surface  are smooth,neglect energy loss at M & N)

    Solution

  • Question 10
    1 / -0
    A car weighing 1 ton is moving twice as fast as another car weighing 2 ton. The kinetic energy of the one-ton car is
    Solution
    K1=12(1)(2v)2=2v2K_1=\dfrac{1}{2}(1)(2v)^2=2v^2
    K2=12(2)(v)2=v2K_2=\dfrac{1}{2}(2)(v)^2=v^2

        K1>K2\implies K_1 > K_2
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