ANSWER
Step-by-step explanation
Parameters given:
Mass of student, m = 64.0 kg
Initial velocity of student, u = 4.53 m/s
Initial velocity of skateboard, U = 0 m/s
Final velocity of student and skateboard, v = 2.63 m/s
To solve this problem, we have to apply the law of conservation of momentum which states that the total momentum of a system is constant.
This implies that:
The final velocity of the student and skateboard are equal. This implies that:
where M = mass of skateboard
Substitute the given values into the equation and solve for M:
That is the mass of the skateboard.