x + b b An engineer has modeled the magnitude of the elastic force of a bungee cord using the equation F(x) = a is the amount by which the cord is stretched (relative to its unstretched length), b = 8.56 m, and a is a constant to be determined. 8² (I + b)² where x

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Chapter6: Energy Of A System
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x + b
An engineer has modeled the magnitude of the elastic force of a bungee cord using the equation F(x) = a
[*#* -
b
is the amount by which the cord is stretched (relative to its unstretched length), b = 8.56 m, and a is a constant to be determined.
Part (a) Write an expression for the work done on the cord in order to stretch it so that x = s.
Part (b) What the value of a, in J/m, if the work required to stretch the cord s = 13.2 m is 23.8 kJ?
6²
(x + b)²
where x
Transcribed Image Text:x + b An engineer has modeled the magnitude of the elastic force of a bungee cord using the equation F(x) = a [*#* - b is the amount by which the cord is stretched (relative to its unstretched length), b = 8.56 m, and a is a constant to be determined. Part (a) Write an expression for the work done on the cord in order to stretch it so that x = s. Part (b) What the value of a, in J/m, if the work required to stretch the cord s = 13.2 m is 23.8 kJ? 6² (x + b)² where x
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