two football players are running toward each other. one football player has a mass of 105 kg and is running…
two football players are running toward each other. one football player has a mass of 105 kg and is running at 8.6 m/s. the other player has a mass of 90 kg and is running at -9.0 m/s. what is the momentum of the system after the football players collide? 93 kg·m/s 1,713 kg·m/s 810 kg·m/s 903 kg·m/s
Answer
Explanation:
Step1: Calculate initial momentum of first player
Momentum formula: $p = mv$. For first player, $m_1 = 105$ kg, $v_1=8.6$ m/s. So $p_1=m_1v_1=105\times8.6 = 903$ kg·m/s.
Step2: Calculate initial momentum of second player
For second player, $m_2 = 90$ kg, $v_2=- 9.0$ m/s. So $p_2=m_2v_2=90\times(-9)=-810$ kg·m/s.
Step3: Calculate total initial momentum of the system
According to the law of conservation of momentum ($p_{total - initial}=p_{total - final}$), $p_{total}=p_1 + p_2$. Substitute values: $p_{total}=903+( - 810)=93$ kg·m/s.
Answer:
93 kg·m/s