Mathematics, 19.07.2019 17:30 abbeyj4737
A20 kg object is acted on by a conservative force given by f = −3.0x − 5.0x2, with f in newtons and x in meters. take the potential energy associated with the force to be zero when the object is at x = 0.
Answers: 1
, the potential energy, U, is given by:
![U=- \int\limits^5_0 {\left(-3.0x-5.0x^2\right)} \, dx \\ \\ =-\left[-1.5x^2- \frac{5}{3} x^3\right]^5_0=-\left(-1.5(5)^2- \frac{5}{3} (5)^3\right) \\ \\ =-(-1.5(25)- \frac{5}{3} (125))=-(-37.5-208.33) \\ \\ =-(-245.83)=\bold{245.8J}](/tpl/images/0108/6213/0cfd4.png)
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A20 kg object is acted on by a conservative force given by f = −3.0x − 5.0x2, with f in newtons and...
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