Self Studies

Work Energy and...

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  • Question 1
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    A 0.25kg ball attached to a 1.5 m rope moves with a constant speed of 15 m/s around a vertical circle. Calculate the tension force on the rope at the middle of the circle:

  • Question 2
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    two blocks of masses m1=2kgm_1 = 2 kg and m2=4kgm_2 = 4 kg are moving in the same direction with speeds ν1=6m/s\nu_1 = 6 m/s and ν2=3m/s\nu_2 = 3 m/s, respectively on a frictioneless surface as shown in the figure. An ideal spring with spring constant k=30000N/mk = 30000 N/m is attached to the back side of m2m_2. Then the maximum compression of the spring after collision will be:

  • Question 3
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    A particle of mass 1 kg is suspended by means of a string of length L=2 m. The string makes 6/π6/\pi rps around a vertical axis through the fixed end. The tension in the string is

  • Question 4
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    A mass attached to a string that is itself attached to the ceiling swings back and forth. If the bob is observed to be moving upward at a given instance, as shown to the right, which arrow best depicts the direction of the net force acting on the bob at that instant

  • Question 5
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    When a rubber-bank is stretched by a distance xx, it exerts a restoring force of magnitude F=ax+bx2F=ax+b{x}^{2} where aa and bb are constants. The work done in stretching the unstretched rubber band by LL is:

  • Question 6
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    A thin uniform rod of mass mm and length ll is hinged at the lower end of a level floor and stands vertically. It is now allowed to fall, then its upper and will strike the floor with a velocity given by(A)mgl\sqrt { mgl }(B) 3gl\sqrt { 3gl }(c)5gl\sqrt { 5gl } (D) 2gl\sqrt { 2gl }  Sol. 

  • Question 7
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    A body of mass 1kg1kg thrown upwards with a velocity of 10m/s10m/s comes to rest (momentarily) after moving up by 4m4m. The work done by air drag in this process is (Take g=10m/s2g=10m/{ s }^{ 2 })

  • Question 8
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    A body is acted upon by force which is inversely proportional to the distance covered. The work done will be proportional to:

  • Question 9
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    The work done by a force is equal to :

  • Question 10
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    A particle of mass 2 kg2\ kg travels along a straight line with velocity v=aXv=a \sqrt {X}, where aa is a constant. The work done by net force during the displacement of particle from x=0x=0 to x=4 mx=4\ m is:

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