Two froghoppers sitting on the ground aim at the same leaf, located 35 cm above the ground. Froghopper A jumps straight up while froghopper

Question

Two froghoppers sitting on the ground aim at the same leaf, located 35 cm above the ground. Froghopper A jumps straight up while froghopper B jumps at a takeoff angle of 58° above the horizontal.
Which froghopper experiences the greatest change in kinetic energy from the start of the jump to when it reaches the leaf?

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Gia Bảo 5 months 2021-09-02T06:52:14+00:00 1 Answers 6 views 0

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    2021-09-02T06:53:16+00:00

    Answer: A

    Explanation: We can use the concept of conservation energy which implies that the kinetic energy of the froghoppers equals it potential energy from the ground level.

    Where potential energy = mgh

    Where m = mass of the object , g = acceleration due gravity and h = height from ground level.

    The value of potential energy will reduce when the height is inclined at an angle.

    Let us assume equal mass for both froghoppers, say m , g = 10 m/s^2 and a value of h.

    For the first froghopper, potential energy = m×9.8×h = 9.8 mh

    For the second froghopper, potential energy = m×9.8×hsin58 ( hsin58 is the vertical componet of height h inclined at angle 58),

    potential energy = 8.3109 mh

    As we can see , froghopper A has more potential energy than froghoppers B which implies that A has more kinetic energy than B

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