Question

the momentum initial of the truck is
the momentum final of the truck is
the change in momentum of the truck is
the momentum initial of the car is
the momentum final of the car is
the change in momentum of the toy car is
the has the greatest change in momentum

Explanation:

Step1: Calculate initial momentum of truck

Momentum formula \(p = mv\). For truck, \(m = 15\space kg\), \(v_i=0\space m/s\). So \(p_{i - truck}=15\times0 = 0\space kg\cdot m/s\)

Step2: Calculate final momentum of truck

For truck, \(m = 15\space kg\), \(v_f = 5\space m/s\). So \(p_{f - truck}=15\times5=75\space kg\cdot m/s\)

Step3: Calculate change in momentum of truck

\(\Delta p_{truck}=p_{f - truck}-p_{i - truck}=75 - 0=75\space kg\cdot m/s\)

Step4: Calculate initial momentum of car

For car, \(m = 5\space kg\), \(v_i = 0\space m/s\). So \(p_{i - car}=5\times0=0\space kg\cdot m/s\)

Step5: Calculate final momentum of car

For car, \(m = 5\space kg\), \(v_f = 5\space m/s\). So \(p_{f - car}=5\times5 = 25\space kg\cdot m/s\)

Step6: Calculate change in momentum of car

\(\Delta p_{car}=p_{f - car}-p_{i - car}=25-0 = 25\space kg\cdot m/s\)

Answer:

The momentum initial of the truck is \(0\space kg\cdot m/s\).
The momentum final of the truck is \(75\space kg\cdot m/s\).
The change in momentum of the truck is \(75\space kg\cdot m/s\).
The momentum initial of the car is \(0\space kg\cdot m/s\).
The momentum final of the car is \(25\space kg\cdot m/s\).
The change in momentum of the toy car is \(25\space kg\cdot m/s\).
The toy truck has the greatest change in momentum.