Certainly! Let's approach this problem step-by-step to determine the force that the soccer ball exerts on Alice's foot using Newton's Third Law of Motion.
### Step-by-Step Solution:
1. Understanding Newton's Third Law:
- Newton's Third Law states: "For every action, there is an equal and opposite reaction."
- This means that whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first object.
2. Identify the Given Values:
- Force exerted by Alice on the soccer ball: [tex]\( 0.5 \, \text{N} \)[/tex]
- Mass of the soccer ball: [tex]\( 0.25 \, \text{kg} \)[/tex] (This information is given but not directly needed to find the reaction force due to Newton's Third Law).
3. Applying Newton's Third Law:
- According to Newton's Third Law, the force exerted by the soccer ball on Alice’s foot should be equal in magnitude and opposite in direction to the force Alice applies to the ball.
- Therefore, if Alice exerts a force of [tex]\( 0.5 \, \text{N} \)[/tex] on the soccer ball, the soccer ball will exert a force of [tex]\( -0.5 \, \text{N} \)[/tex] on Alice’s foot.
4. Conclusion:
- The force that the soccer ball exerts on Alice's foot as she kicks it is [tex]\( 0.5 \, \text{N} \)[/tex].
Thus, according to Newton's Third Law of Motion, the soccer ball exerts a force of [tex]\( 0.5 \, \text{N} \)[/tex] on Alice's foot.
