Answer to Question #151379 in Classical Mechanics for Isurini Sirisena

Question

4 An ice skater and his coach begin stationary and push apart from each other with a force of 75 N. The skater has a mass of 64 kg, whilst the coach weighs 804 N.

If the skater moves off to the left with a speed of 3.6 m s−1, what is the velocity of the coach?

Answer 1

Find the mass of the coach:

$$M=\frac{W_c}{g}.$$

According to momentum conservation, the initial momentum (which is 0) must be equal to the final momentum (i.e. 0):

$$0=vm-uM,\\ u=v\frac{m}{M}=\frac{vmg}{W_c}=2.8\text{ m/s}.$$