QCEVault

Mechanics — Question 86

Original QCE Vault practice · 5 marks

Q86 · Practice questionComplex familiar5 marks

QUESTION 86 (5 marks)

A 3 kg3\ \mathrm{kg} particle moves along the xx-axis under a force F=6x NF=6x\ \mathrm N in the positive xx direction. When x=1 mx=1\ \mathrm m, its speed is 2 m s−12\ \mathrm{m\,s^{-1}}.
a)
Show that v2=2x2+2v^2=2x^2+2.
[3 marks]
b)
Determine the speed when x=3 mx=3\ \mathrm m.
[2 marks]
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