He shoots the tree stump, which has a mass of (M), with a bullet of mass (m) traveling at some velocity (vbullet), and the bullet lodges itself inside the tree stump before the system of objects slides along the ice. What is the speed of the tree stump-bullet system immediately after the collision?

Respuesta :

Answer:

Explanation:

Given

mass of tree stump is [tex]M[/tex]

mass bullet is [tex]m[/tex]

velocity of bullet is [tex]v[/tex]

Conserving momentum for bullet and tree stump

Initial Momentum [tex]P_i=mv[/tex]

Suppose [tex]v_0[/tex] is the velocity of the system

Final Momentum [tex]P_f=(M+m)v_0[/tex]

Initial momentum =Final Momentum

[tex]mv=(m+M)v_0[/tex]

[tex]v_0=\frac{mv}{m+M}[/tex]