The speed of a garbage truck that is and is initially moving at 25.0 m/s just after it hits and adheres to a trash can that is 80.0 kg and is initially at rest will be 24.83 m/s
using conservation of momentum
m1 = mass of truck
m2 = mass of can
v1 = initial speed of truck
m1v1 = (m1 + m2) v'
1.2 * [tex]10^{4}[/tex] * 25 =( 1.2 * [tex]10^{4}[/tex] + 80 ) v'
30 * [tex]10^{4}[/tex] = 1.208 * [tex]10^{4}[/tex] * v'
v' = 24.83 m/s
Speed of the garbage truck will be 24.83 m/s
To learn more about conservation of momentum here:
https://brainly.com/question/24989124
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