Final answer:
The object with the highest momentum will require the greatest amount of force to change its motion. By calculating the momentum for each object, Object B is determined to have the greatest momentum, and therefore will require the greatest force to change its motion.
Step-by-step explanation:
The object that will require the greatest amount of force to change its motion is the one with the highest momentum, since momentum is the product of mass and velocity. To calculate the momentum (p) for each object, we use the formula p = mv, where m is mass and v is velocity.
- For object A: p = 160 kg * 126 m/s = 20160 kg·m/s.
- For object B: p = 162 kg * 124 m/s = 20088 kg·m/s.
- For object C: p = 153 kg * 127 m/s = 19431 kg·m/s.
- For object D: p = 148 kg * 131 m/s = 19388 kg·m/s.
Object B has the highest momentum and therefore will require the greatest amount of force to change its motion, making Object B the correct answer.