Physics

# an object with a mass of 3kg has a momentum of 75 kg m/s what is its velosity

#### BettieZumbrunnen

3 years ago

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 .

$p=75 \ kg \cdot m/s \\ m=3 \ kg \\ \boxed{v-?} \\ \bold{Solving:} \\ \boxed{p=m \cdot v} \\ \Rightarrow v= \frac{p}{m} \\ v= \frac{75 \ kg \cdot m/s}{3 \ kg} \\ \Rightarrow \boxed{v=25 \ m/s}$