Question

1. a large truck and a small car collide head - on. the truck has twice the mass of the car. which vehicle experiences the least acceleration? (1 point) the truck the car neither, they both have the same neither, they both have none

Explanation:

Step1: Recall Newton's second law

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. When the truck and car collide, the force they exert on each other is equal in magnitude (Newton's third law). Let the mass of the car be $m_{c}$ and the mass of the truck be $m_{t}=2m_{c}$. Let the force on the car be $F_{c}$ and on the truck be $F_{t}$, and $F_{c}=F_{t}=F$.

Step2: Express acceleration for each vehicle

For the car, $a_{c}=\frac{F_{c}}{m_{c}}=\frac{F}{m_{c}}$. For the truck, $a_{t}=\frac{F_{t}}{m_{t}}=\frac{F}{2m_{c}}$.

Step3: Compare accelerations

Since $\frac{F}{2m_{c}}<\frac{F}{m_{c}}$, the truck has a smaller acceleration.

Answer:

the truck