## Physics: Principles with Applications (7th Edition)

$5.62 \frac{m}{s^{2}}$ in the upward direction.
Apply Newton’s second law to the monkey. Choose up to be the positive direction. At the critical point when the cord breaks, the tension is 185 N. $$\Sigma F=F_t – mg = ma$$ $$a = \frac{ F_t-mg}{m} =\frac{185 N-(12.0 kg)(9.80 \frac{m}{s^{2}})}{12.0 kg} \approx 5.62 \frac{m}{s^{2}}$$ The answer is rounded to 3 significant figures. The positive sign confirms that the acceleration is upward.