Final answer:
The box will move in the direction that Kerry is pushing because she applies a greater force. The net force on the box is 125 N, resulting in an acceleration of 6.25 m/s² in that direction.
Step-by-step explanation:
The box will move in the direction of the larger force. Since Kerry is pushing with a force of 475 N and Joe is pushing with 350 N in the opposite direction, the box will move in Kerry's direction. To determine how quickly the box will accelerate, we need to calculate the net force acting on it and then use Newton's second law of motion.
First, we calculate the net force:
- Net force = Larger force - Smaller force
- Net force = 475 N - 350 N
- Net force = 125 N
Now, we use Newton's second law (F = ma) to find the acceleration (a):
- a = F/m
- a = 125 N / 20 kg
- a = 6.25 m/s²
So, the box will accelerate in Kerry's direction at a rate of 6.25 m/s².