Which has more momentum, a 1000 kg car moving 1 m/s or a 70 kg person sprinting at 8 m/s?

[tex]\begin{gathered}\begin{gathered}{\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \\\end{gathered}\end{gathered}[/tex] To determine which has more momentum, we need to calculate the momentum of both the car and the person. Momentum (p) is calculated using the formula: [tex]p = m \cdot v[/tex] Where: p = momentum m = mass v = velocity Calculate the momentum of the car For the car: Mass ([tex]m_c[/tex]) = 1000 kgVelocity ([tex]v_c[/tex]) = 1 m/s Using the momentum formula: [tex]p_c = m_c \cdot v_c = 1000 \text{ kg} \cdot 1 \text{ m/s} = 1000 \text{ kg m/s}[/tex] Calculate the momentum of the person For the person: Mass ([tex]m_p[/tex]) = 70 kgVelocity ([tex]v_p[/tex]) = 8 m/s Using the momentum formula: [tex]p_p = m_p \cdot v_p = 70 \text{ kg} \cdot 8 \text{ m/s} = 560 \text{ kg m/s}[/tex] Compare the momenta Now we compare the two calculated momenta: Momentum of the car: 1000 kg m/s Momentum of the person: 560 kg m/s Conclusion The car has more momentum than the person because: [tex]1000 \text{ kg m/s} > 560 \text{ kg m/s}[/tex] Thus, the 1000 kg car moving at 1 m/s has more momentum than the 70 kg person sprinting at 8 m/s. [tex]\sf\color{green}{⊱⋅ ────────────────────── ⋅⊰}[/tex][tex]\begin{gathered} \boxed{\begin{array}{cc} \sf \footnotesize \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ···\: ʚ\: \: \: \: \: \: Hope\:it\:helps \: \: \: \: \: ɞ \:··· \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\footnotesize\:\# CarryOnLearning \\ \sf\footnotesize ૮₍´˶ \: • \: . \: • \: ⑅ ₎ა \: \leadsto \footnotesize\sf\color{purple} \underline{Study\:Well!}\end{array}}\end{gathered}[/tex][tex]\sf\color{green}{⊱⋅ ────────────────────── ⋅⊰}[/tex][tex]\large\qquad\qquad\qquad\tt MARCH/14/2025 [/tex]

Answered by chaser27 | 2025-03-14