Answer to Question #177554 in Physics for Sapphire Angeles

Question #177554
  1. A man in a boat starts rowing; and it accelerates from 0 to 0.80 m/s in a distance of 0.51m. If the combined mass of the person and the boat is 85kg, what is the magnitude of the net force acting on the boat?
1
Expert's answer
2021-04-01T18:33:20-0400

Let's first find the acceleration of the boat:


v2=v02+2as,v^2=v_0^2+2as,a=v2v022s,a=\dfrac{v^2-v_0^2}{2s},a=(0.8 ms)220.51 m=0.63 ms2.a=\dfrac{(0.8\ \dfrac{m}{s})^2}{2\cdot0.51\ m}=0.63\ \dfrac{m}{s^2}.

Finally, we can find the net force acting on the boat:


Fnet=ma=85 kg0.63 ms2=53.55 N.F_{net}=ma=85\ kg\cdot0.63\ \dfrac{m}{s^2}=53.55\ N.

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