Help with basic physics problem on kinetic energy?

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A mother has four times the mass of her young son. Both are running with the same kinetic energy.

What is the ratio [vs/vm] other of their speeds?

Express your answer using two significant figures.

PLEASE HELP!!! THANK YOU

  • Fornoob Team’s answer

    mass of mother = 4 mass of sun

    mothers KE

    0.5( 4 m) vm^2

    sons KE

    0.5( m) vs^2

    their KE are equal

    0.5( 4 m) vm^2 = 0.5( m) vs^2

    solve for vs / vm

    vs^2/ vm^2 = 4

    vs/vm = sqrt 4

    vs/vm =2.0

  • Arun vignesh

    If you consider the sons mass as m then the mothers mass is 4m. KE=1/2 mv^2. so moms kinetic energy is 2MVm^2 and sons is 1/2MVs^2.They are equal so Vs^2/Vm^2=4

    Vs/Vm=2 thus the ratio is 2:1 that is 2.0

  • John

    55mile/h = fifty 5 *1609.3/3600 m/s = 24.586 m/s 67mile/h = sixty seven*1609.3/3600 m/s = 29.ninety 5 m/s W = a million/2 * m * (v^2 – u^2)=a million/2 * m * (29.ninety 5^2 – 24.586^2) F * S = a million/2 * m * (897 – 604.5) m * g * S = a million/2 * m * 292.5 S = 146.25/10 = 14.625 m

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