Question

Erica (38 kgkg ) and Danny (46 kgkg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is moving upward past her at 4.9 m/sm/s . At that instant he grabs hold of her.

Answer 1

The speed with which just after he grabs her is 2.68 m/s.

Step-by-step explanation:

Given that,

Mass of Erica, m = 38 m/s

Mass of Danny, m' = 46 kg

Erica reaches the high point of her bounce, Danny is moving upward past her at 4.9 m/s. At this moment, the initial speed of Erica will be 0. The momentum will remain conserved. Using the conservation of linear momentum as :

`mu+m'u'=(m+m')V\\\\0+46* 4.9=(38+46)V\\\\V=(225.4)/(84)\\\\V=2.68\ m/s`

So, the speed with which just after he grabs her is 2.68 m/s. Hence, this is the required solution.