Question

which of the following options correctly ranks the vehicles by increasing momentum, from left to right?
a. 1:2:3:4
b. 2:4:1:3
c. 3:1:4:2
d. 2:1:4:3

Explanation:

Step1: Calculate momentum for each vehicle

Momentum formula: \(p = mv\) (where \(p\) is momentum, \(m\) is mass, \(v\) is velocity)

• Vehicle 1: \(p_1=450.0\times40.0 = 18000\)
• Vehicle 2: \(p_2=600.0\times45.0=27000\)
• Vehicle 3: \(p_3 = 260.0\times55.0=14300\)
• Vehicle 4: \(p_4=1150.0\times20.0 = 23000\)

Step2: Compare the momentum values

\(p_3(14300)<p_1(18000)<p_4(23000)<p_2(27000)\)

Answer:

C. \(3:1:4:2\)