The velocity of the object is -8.3 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, in absence of external forces, the total momentum of the person+object system must be conserved.
Therefore, we have:
[tex]p_i = 0[/tex] --> the total momentum at the beginning is zero, because they are both at rest
[tex]p_f=mv+MV[/tex] --> this is the total momentum ,where
m = 12.0 kg is the mass of the object
v is the final velocity of the object
M = 50.0 kg is the mass of the person
V = +2.0 m/s is the final velocity of the person
Since the total momentum is conserved,
[tex]p_i = p_f[/tex]
And therefore we have:
[tex]0=mv+MV\\v=-\frac{MV}{m}=-\frac{(50.0)(+2.0)}{12.0}=-8.3 m/s[/tex]
where the negative sign means the direction of the object is opposite to that of the person.
Learn more about momentum:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly
