Question

which object would have the most momentum? a. a 500 - pound car moving at 20 miles per hour b. a 200 - pound car moving at 60 miles per hour c. a 100 - pound car moving at 80 miles per hour d. a 50 - pound car moving at 100 miles per hour please select the best answer from the choices provided.

Explanation:

Step1: Recall momentum formula

Momentum \(p = mv\) (where \(m\) is mass and \(v\) is velocity). We need to calculate \(p\) for each option.

Step2: Calculate momentum for option A

\(m_A=500\) pounds, \(v_A = 20\) miles per hour. \(p_A=m_Av_A=500\times20 = 10000\) pound - miles per hour.

Step3: Calculate momentum for option B

\(m_B = 200\) pounds, \(v_B=60\) miles per hour. \(p_B=m_Bv_B=200\times60=12000\) pound - miles per hour.

Step4: Calculate momentum for option C

\(m_C = 100\) pounds, \(v_C = 80\) miles per hour. \(p_C=m_Cv_C=100\times80 = 8000\) pound - miles per hour.

Step5: Calculate momentum for option D

\(m_D=50\) pounds, \(v_D = 100\) miles per hour. \(p_D=m_Dv_D=50\times100=5000\) pound - miles per hour.

Answer:

B. a 200 - pound car moving at 60 miles per hour