Answer to Question #176569 in Physics for taylor

Question

A driver accelerates a 243-kg snowmobile, which results in a force being exerted that speeds the

snowmobile up from 7 m/s to 34 m/s over a time interval of 60 s. What is the magnitude of the average force that is exerted on the snowmobile?

Answer 1

Let's first find the acceleration of the snowmobile:

$$a=\dfrac{v-v_0}{t}=\dfrac{34\ \dfrac{m}{s}-7\ \dfrac{m}{s}}{60\ s}=0.45\ \dfrac{m}{s^2}.$$

Finally, we can find the magnitude of the average force that is exerted on the snowmobile:

$$F=ma=243\ kg\cdot0.45\ \dfrac{m}{s^2}=109.35\ N.$$