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10 January, 16:59

Calculate the speed of a proton having a kinetic energy of 0.995 * 10-19 J and a mass of 1.673 * 10-27 kg. Answer in units of m/s.

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  1. 10 January, 18:33
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    1.19*10²² m/s

    Explanation:

    Kinetic Energy: This can be defined as the the energy of a body due to motion.

    The formula for kinetic energy is given as,

    Ek = 1/2mv² ... Equation 1

    Where Ek = Kinetic energy, m = mass of proton. v = velocity of proton.

    Making v the subject of the equation,

    v = √ (2Ek/m) ... Equation 2.

    Given: Ek = 0.995*10⁻⁵ J, m = 1.673*10⁻²⁷ kg.

    Substitute into equation 2

    v = √ (2*0.995*10⁻⁵/1.673*10⁻²⁷)

    v = 1.19*10²² m/s.

    Therefore, the velocity of proton = 1.19*10²² m/s
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