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7 July, 23:54

A surface is bombarded by particles, each of mass small 'm', which have velocity

normal to the surface. On average, n particles strike unit area of the surface each second

and rebound elastically. What is the pressure on the surface?

A. nmv

B. 2nmv

C. nmv²

D. 1/2nmv²

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Answers (1)
  1. 8 July, 01:15
    0
    B. 2nmv

    Explanation:

    Pressure is force over area.

    P = F / A

    Force is mass times acceleration.

    F = ma

    Acceleration is change in velocity over change in time.

    a = Δv / Δt

    Therefore:

    F = m Δv / Δt

    P = m Δv / (A Δt)

    The total mass is nm.

    The change in velocity is Δv = v - (-v) = 2v.

    A = 1 and Δt = 1.

    Plugging in:

    P = (nm) (2v) / (1 * 1)

    P = 2nmv
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