What is the velocity of a 65 kg runner with 90 kg m/s of momentum.

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What is the velocity of a 65 kg runner with 90 kg m/s of momentum.

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Gia Bảo 5 years 2021-09-01T15:58:28+00:00 1 Answers 17 views 0

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  1. nguyetanh
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    2021-09-01T15:59:57+00:00
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    Answer:

    \boxed {\boxed {\sf v \approx 1.46 \ m/s}}

    Explanation:

    Momentum is the product of mass and velocity.

    p=mv

    We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.

    m= 65 \ kg \\p= 95 \ kg \ m/s

    Substitute the values into the formula.

    95 \ kg \ m/s= 65 \ kg *v

    Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.

    \frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}

    \frac {95 \ kg \ m/s}{65 \ kg }=v

    The kilograms cancel when divided.

    1.46153846 \ m/s=v

    Let’s round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.

    1.46 \ m/s \approx v

    The velocity is approximately 1.46 meters per second.

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