Question

in a traffic collision, the bigger the vehicle and the faster its traveling:
the bigger the force of impact
the shorter the braking distance
the smaller the ticket
the weaker the gravity

Explanation:

Analyze the physical factors of a collision

The kinetic energy of a moving vehicle is determined by its mass (size/weight) and velocity (speed) according to the formula:

$$ E_k = \frac{1}{2}mv^2 $$

A larger vehicle (greater mass, \(m\)) and a faster speed (greater velocity, \(v\)) result in significantly higher kinetic energy.

Relate kinetic energy to impact force

During a collision, this kinetic energy must be dissipated. The force of impact is directly proportional to the kinetic energy being transferred over the crash distance:

$$ F_{\text{impact}} = \frac{E_k}{d} $$

Therefore, a larger mass and higher speed result in a much greater force of impact.

Evaluate the given options

• "the bigger the force of impact": Correct, as increased mass and speed directly increase the kinetic energy and resulting impact force.
• "the shorter the braking distance": Incorrect, heavier and faster vehicles require a longer distance to stop.
• "the smaller the ticket": Incorrect, speeding violations generally result in larger fines.
• "the weaker the gravity": Incorrect, gravity is independent of vehicle speed or size.

Answer:

• (A) the bigger the force of impact (Correct answer)
• (B) the shorter the braking distance
• (C) the smaller the ticket
• (D) the weaker the gravity