Question

momentum = 23,250 kgm/s how many times greater is the mass of the dump truck than the mass of the mini cooper? 24.21875 calculate the missing variables in the table below. object mass velocity momentum mini cooper 640 kg 40 m/s dump truck 15,500 kg 23,250 kgm/s according to your calculations, which object has more momentum? explain your answer. how fast would the object with less momentum have to go so that the mini cooper and dump truck had equal momentum? show your work.

Explanation:

Step1: Calculate momentum of Mini - Cooper

Use the formula $p = mv$, where $m = 640$ kg and $v=40$ m/s. So $p_{Mini - Cooper}=640\times40 = 25600$ kg·m/s.

Step2: Compare momenta

$p_{Mini - Cooper}=25600$ kg·m/s and $p_{Dump - Truck}=23250$ kg·m/s. Since $25600>23250$, the Mini - Cooper has more momentum.

Step3: Find required velocity for Dump - Truck to have equal momentum

Set $p_{Dump - Truck}=p_{Mini - Cooper}$. We know $p = mv$, and we want to find $v$ when $m = 15500$ kg and $p = 25600$ kg·m/s. Rearranging the formula $v=\frac{p}{m}$, so $v=\frac{25600}{15500}\approx1.65$ m/s.

Answer:

The Mini - Cooper has more momentum because its momentum ($25600$ kg·m/s) is greater than the momentum of the dump truck ($23250$ kg·m/s). The dump truck would have to travel at approximately $1.65$ m/s to have the same momentum as the Mini - Cooper.