Question

question 14 2 pts if the pod and space station collide, which object will have less change in velocity after the collision? remember: the medium mass object represents the pod. the large mass object represents the space station. pod space station niether both

Explanation:

Step1: Apply Newton's third law

According to Newton's third law, the force \(F\) exerted on the pod by the space - station is equal in magnitude and opposite in direction to the force exerted on the space - station by the pod (\(F_{pod - on - station}=-F_{station - on - pod}\)).

Step2: Use Newton's second law \(F = ma\) (where \(a=\frac{\Delta v}{\Delta t}\))

For the pod: \(F_{station - on - pod}=m_{pod}\frac{\Delta v_{pod}}{\Delta t}\), so \(\Delta v_{pod}=\frac{F_{station - on - pod}\Delta t}{m_{pod}}\). For the space - station: \(F_{pod - on - station}=m_{station}\frac{\Delta v_{station}}{\Delta t}\), so \(\Delta v_{station}=\frac{F_{pod - on - station}\Delta t}{m_{station}}\).
Since \(|F_{station - on - pod}| = |F_{pod - on - station}|\) and \(\Delta t\) is the same for both (the time of contact during the collision), and \(m_{station}>m_{pod}\) (space - station has a larger mass), from the equations \(\Delta v=\frac{F\Delta t}{m}\), we can conclude that \(\Delta v_{station}<\Delta v_{pod}\). So the space - station has a less change in velocity.

Answer:

Space Station