JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Sample Paper Topic Test - Work Energy Power

  • question_answer
    Block 1 and Block 2 are again released from \[h=1.2\text{ }m.\] Block 1 flies off the track end at 30° and Block 2 at \[45{}^\circ \]. Their speeds when they hit the floor 1 meter below the track end:

    A) are smaller for Block 1 than Block 2.

    B) are larger for Block 1 than Block 2.

    C) are the same for Block 1 and Block 2.

    D) depend on mass and angle, so the question cannot be answered.

    Correct Answer: C

    Solution :

    [c] Since the speeds are the same at the track ends and they both fall through a vertical distance of 1 m from the track bottom, conservation of energy shows that their speeds when they strike the floor are equal also. Assume h = 1m and v = 4.85 m/sec for both. Then : \[1/2m{{v}^{2}}+mgh=1/2m{{V}^{2}}\] (The mass will cancel, so V is the same for both blocks.)

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