Question

A family is skating. The father (75 kg) skates at 8.2 m/s and collides and sticks to the mother (50 kg), who was initially moving at 3.3 m/s and at 45° with respect to the father’s velocity. The pair then collides with their daughter (30 kg), who was stationary, and the three slide off together. What is their final velocity?

a) (2.8 m/s)^i + (6.3 m/s)^j
b) (-1.6 m/s)^i + (-5.2 m/s)^j
c) (3.7 m/s)^i - (2.1 m/s)^j
d) (0.6 m/s)^i + (4.4 m/s)^j

Answer 1

To find the final velocity of the family members after colliding on the ice, we can use the principle of conservation of momentum. Therefore, the correct option is d). ) (0.6 m/s)^i + (4.4 m/s)^j.

Step-by-step explanation:

In this problem, we can use the principle of conservation of momentum to find the final velocity of the three members of the family. Momentum is defined as the product of mass and velocity, and since momentum is conserved in a collision, we can set up the following equation: (m1 * v1) + (m2 * v2) = (m1 + m2 + m3) * vf

Using this equation and the given values for the masses and initial velocities, we can solve for the final velocity. The correct option is d) (0.6 m/s)^i + (4.4 m/s)^j.