Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the correct answer from each drop - down menu. in an experiment,…

Question

select the correct answer from each drop - down menu. in an experiment, mary compares a collision of two 1 - kilogram steel balls with a collision of two 1 - kilogram foam rubber balls. she makes sure that, except for the material, the two collisions are the same. mary finds that the force of impact of the steel ball collision is greater than the force of impact of the foam rubber ball collision. from her force measurements, mary concludes that the foam rubber balls acceleration during the collision was drop - down 1 the steel balls acceleration. she concludes that the collision between the foam rubber balls is an drop - down 2 collision.

Explanation:

Step1: Recall Newton's second - law

Force \(F = ma\) (where \(m\) is mass and \(a\) is acceleration). The mass of both steel and foam - rubber balls is \(m = 1\) kg.

Step2: Analyze force and acceleration relationship

Since \(F=ma\) and \(m\) is the same for both balls, if the force of impact \(F\) of the steel - ball collision is greater than the force of impact of the foam - rubber ball collision, from \(a=\frac{F}{m}\), the acceleration of the steel ball during the collision is greater. Also, foam - rubber is more elastic, which means it deforms more during the collision and spreads the force over a longer time interval, resulting in a lower average force and thus lower acceleration compared to the steel ball.

Answer:

The acceleration of the steel balls during the collision was greater than the acceleration of the foam rubber balls.