• šŸ“‹ Revise, Reflect, Refine, Q10 (Page 138)
    A ball of mass 2 kg is thrown up with a velocity of 20 m s⁻¹.
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    Answer
    • (i) Sign of work done by gravity —
    Motion Direction of gravity Direction of displacement Work done by gravity
    Upward Downward Upward Negative
    Downward Downward Downward Positive
    • (ii) If the ball reaches a height of 19.4 m, how much work was done by air resistance? (g = 10 m s⁻²)
    Position Potential energy Kinetic energy Total mechanical energy
    Ground (thrown up at 20 m s⁻¹) 0 J ½ × 2 × (20)² = 400 J 400 J
    Highest point (19.4 m) 2 × 10 × 19.4 = 388 J 0 J 388 J
    • Work done by air resistance = Final energy − Initial energy
    • = 388 − 400
    • = −12 J
    • Negative — air resistance opposes motion and takes away energy. (Mechanical energy was NOT conserved here because air resistance acted.)
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