# Which has more momentum, an object with a mass of 50kg moving at 23m/s or an object with a mass of 200kg moving at 7m/s?

May 14, 2016

#### Answer:

${\vec{P}}_{2} > {\vec{P}}_{1}$

#### Explanation:

${m}_{1} = 50 \text{ } k g$

${\vec{v}}_{1} = 23 \text{ } \frac{m}{s}$

${\vec{P}}_{1} = {m}_{1} \cdot {\vec{v}}_{1}$

${\vec{P}}_{1} = 50 \cdot 23 = 1150 \text{ } k g \cdot \frac{m}{s}$

${m}_{2} = 200 \text{ } k g$

${\vec{v}}_{2} = 7 \text{ } \frac{m}{s}$

${\vec{P}}_{2} = {m}_{2} \cdot {\vec{v}}_{2}$

${\vec{P}}_{2} = 200 \cdot 7 = 1400 \text{ } k g \cdot \frac{m}{s}$

${\vec{P}}_{2} > {\vec{P}}_{1}$