Share
Anthony and Sissy are participating in the “Roll-a-Rama” rollerskating dance championship. While 75.0-kg Anthony roller skates backwards at
Question
Anthony and Sissy are participating in the “Roll-a-Rama” rollerskating dance championship. While 75.0-kg Anthony roller skates backwards at 3.0 m/s,60.0-kg Sissy jumps into his arms with a velocity of 5.0 m/s in the same direction. How fast does the pair roll backwards together?
in progress
0
Physics
3 years
2021-08-19T08:37:52+00:00
2021-08-19T08:37:52+00:00 1 Answers
79 views
0
Answers ( )
Answer:
V = 3.89m/s
Explanation:
Given Ma = 75.0kg, Va = 3.0m/s, Ms = 60.0kg and Vs = 5.0m/s
Since the pair roll backwards after Sissy jumps into Anthony’s arms,
let the common velocity of the pair be V
From the principle of conservation of momentum,
Total momentum before collision is equal to the total momentum after collision
MaVa + MsVs = (Ma + Ms) × V
V = (MaV + MsVs)/(Ma + Ms)
V = (75×3 + 60×5)/ (75 + 60) = 3.89m/s