In (Figure 1) , what value of Fmax gives an impulse of 7.8 Ns?

Figure 1:…

Express your answer to two significant figures and include the appropriate units.

1 Answer

  • The impulse is the area under that force curve (the integral of F dt, if you’ve had Calc 1).

    The ramps up and down each have (1/2)bh = (1/2)(2 s)(Fmax) areas, for a combined area 2s*Fmax.

    The middle rectangle has area bh = 4s*Fmax.

    You need the total (6 s)*(Fmax) to equal 7.8 Ns, so

    Fmax = (7.8 Ns) / (6 s) = 1.3 N

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