Answer:
[tex]V_ k = 3 m/s [/tex] Â
Explanation:
Using the conservation of the linear momentum P:
[tex]P_i = P_f[/tex]
so:
[tex]M_kV_k = M_sV_s[/tex]
where [tex]M_k[/tex] is the mass of kevin, [tex]V_k[/tex] is the velocity of kevin before he grabs her brother, [tex]M_s[/tex] is the velocity of her brother and him after grabs her brother and [tex]V_s[/tex] is the velocity of both after the collition.
So, replacing the values and solving for Vk, we get:
[tex](87 kg)V_k = (87 kg+22 kg)(2.4m/s)[/tex]
[tex]V_ k = 3 m/s [/tex]