Two balls have masses 18 kg and 47 kg. The 18 kg ball has an initial velocity of 76 m/s (to the right) along a line joining the two balls an

Question

Two balls have masses 18 kg and 47 kg. The 18 kg ball has an initial velocity of 76 m/s (to the right) along a line joining the two balls and the 47 kg ball is at rest. They make a head-on elastic collision with each other. What is the final velocity of the 18 kg ball?

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Tài Đức 5 months 2021-08-15T00:27:23+00:00 1 Answers 17 views 0

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  1. mocmien2
    0
    2021-08-15T00:28:43+00:00
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    Answer:

    The final velocity of 18 kg ball is V_{2} = 42.09 \frac{m}{sec}

    Explanation:

    Mass of first ball m_{1} = 18 kg

    Mass of second ball m_{2} = 47 kg

    Initial velocity of 18 kg ball V_{1} = 76 \frac{m}{sec}

    Initial velocity of 47 kg ball = 0

    Final velocity of 18 kg ball V_{2} = ??

    Final velocity of 18 kg ball  is given by the formula

    V_{2} = \frac{2 m_{1} V_{1} }{m_{1} + m_{2} }

    Put all the values in above formula we get

    V_{2} = 2 × 18 × \frac{76}{65}

    V_{2} = 42.09 \frac{m}{sec}

    Thus, the final velocity of 18 kg ball is V_{2} = 42.09 \frac{m}{sec}

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