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5. a large truck and a small car collide head - on. the truck has twice…

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 greatest impulse? (1 point) the truck the car neither, they both have the same neither, they both have none

Explanation:

Step1: Recall impulse - momentum theorem

Impulse $J = \Delta p$, and according to Newton's third - law, the force exerted by the truck on the car $F_{tc}$ and the force exerted by the car on the truck $F_{ct}$ are equal in magnitude and opposite in direction ($F_{tc}=-F_{ct}$) during the collision. Also, the time of collision $\Delta t$ is the same for both vehicles.

Step2: Calculate impulse

Impulse $J = F\Delta t$. Since $F_{tc}$ and $F_{ct}$ have the same magnitude and the same $\Delta t$, the impulse experienced by the truck $J_t=F_{ct}\Delta t$ and the impulse experienced by the car $J_c = F_{tc}\Delta t$ have the same magnitude.

Answer:

C. neither, they both have the same