The final velocity of the cart is 20.0 m/s eastward
Explanation:
If there are no external forces acting on the system, the total momentum of the woman+cart system must be conserved. Therefore, we can write:
[tex]p_i = p_f\\(m+M)u = mv+MV[/tex]
where:
m = 12 kg is the mass of the cart
M = 48 kg is the mass of the woman
u = 8.0 m/s is the initial velocity of the woman and the cart (they move together). We take east as positive direction
V = 5.0 m/s is the final velocity of the woman
v is the final velocity of the cart
Solving for v, we find:
[tex]v=\frac{(m+M)v-MV}{m}=\frac{(12+48)(8.0)-(48)(5.0)}{12}=20 m/s[/tex]
And the positive sign indicates that the direction is eastward.
Learn more about conservation of momentum:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly
