A force in the +x-direction with magnitude F(x)=18.0N(0.530N/m)x is applied to a

Question

A force in the +x-direction with magnitude F(x)=18.0N(0.530N/m)x is applied to a 7.50 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box.

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Explanation / Answer

Given that

mass m=7.5 kg

force F1=18-0.53*0=18 N

force F2=18-0.53*15=10.05 N

now we find the speed after distance x=15 m

F2-F1=m[v^2-U^2)/2x

10.05-18=7.5[v^2/2*15]

v^2=-63.6

the finial speed V=7.975 m/s

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