Question

Skater N, 58.9 kg, is moving north at a speed of 7.8 m/s when she collides with Skater E, 72.6 kg, moving east at 3.5 m/s. The two skaters are stuck together. In what direction do they move after the collision?
a. 61 degrees c. 32 degrees

b. 45 degrees d. 27 degrees

Answer 1

The direction of the skaters after the collision is 61 degrees.

Momentum of the skaters

The momentum of the skaters is calculated as follows;

P(N) = 58.9 x 7.8 = 459.42 kgm/s

P(E) = 72.6 x 3.5 = 254.1 kgm/s

Direction of the skaters after collision

The direction of the skaters after the collision is calculated as follows;

$\theta = tan^{-1} (\frac{459.42}{254.1} )\\\\\theta = 61^ 0$

Thus, the direction of the skaters after the collision is 61 degrees.

Learn more about direction of collision here: brainly.com/question/25891473