120k views
5 votes
A crane is lowering a 250 kg motorcycle with a cable that has a tension of 3000 N. If we defineupward as the positive direction, what is the motorcycle acceleration?

User Karlth
by
4.3k points

1 Answer

4 votes

The tension acting in the cable can be given as,


T=ma

Plug in the known values,


\begin{gathered} 3000\text{ N=(250 kg)a} \\ a=\frac{3000\text{ N}}{250\text{ kg}}(\frac{1kgm/s^2}{1\text{ N}}) \\ =12m/s^2 \end{gathered}

Thus, the acceleration of motorcycle is 12 m/s2.

User Shinese
by
4.7k points