Respuesta :
Momentum = (mass) x (velocity)
Since we have no information about the object's direction,
the best we can do is use the magnitude of its momentum
and find it's speed.
Magnitude of Momentum = (mass) x (speed)
For this object, (75 kg-m/s) = (3 kg) x (speed)
Divide each side by (3kg):
(75 kg-m/s) / (3 kg) = Speed
Speed = 25 m/s .
(about 56 mph)
[tex]p=75 \ kg \cdot m/s \\ m=3 \ kg \\ \boxed{v-?} \\ \bold{Solving:} \\ \boxed{p=m \cdot v} \\ \Rightarrow v= \frac{p}{m} \\ v= \frac{75 \ kg \cdot m/s}{3 \ kg} \\ \Rightarrow \boxed{v=25 \ m/s}[/tex]