Rachmaninov's lament

Some instrumentalists have their own instruments that they take on tour - think of the violinists with a Stradivarius. For those with larger instruments, it's not so easy. For example, what's the minimum amount of force in Newtons need to push a \(500~\mbox{kg}\) concert grand piano up a ramp angled \(30^\circ\) with respect to the horizontal?

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
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