To determine in which situation the momentum of a moving object would increase, we need to consider how forces affect an object's momentum. Momentum (p) is defined as the product of an object's mass (m) and its velocity (v): \( p = m \cdot v \).
Let's analyze each option:
a. Two forces of equal magnitude act on the object in opposite directions.
- This would result in no net force acting on the object, so its momentum would remain constant.
b. A force acting in the direction of the object's motion is removed from the object.
- This would decrease the acceleration of the object in the direction of motion, potentially slowing it down, thus not increasing momentum.
c. A force acting in the direction opposite the object's motion is removed from the object.
- Removing this opposing force would allow the object to accelerate in the direction of its current motion, increasing its momentum.
d. A new force acts on the object, opposing the object's motion.
- This would decrease the object's speed, thus decreasing its momentum.
The correct answer is c. a force acting in the direction opposite the object's motion is removed from the object. This situation allows the object to increase its momentum as it accelerates in the direction of its motion.