While warming up for a World Cup match, Canadian soccer goalkeeper Kailen Sheridan stops a shot traveling towards her at $32 \mathrm{~m} / \mathrm{s}$. If the soccer ball has mass $420 \mathrm{~g}$, and her gloves are in contact with the ball for $0.11 \mathrm{~s}$ before bringing the ball to a stop, what constant force did she apply opposite the direction of the ball's velocity during that time? $120 \mathrm{~N}$ $1200 \mathrm{~N}$ $120,000 \mathrm{~N}$ $12 \mathrm{~N}$

Step 1 ：Given that the mass of the ball is 420 g (or 0.42 kg), the initial velocity is 32 m/s, and the time it takes to stop the ball is 0.11 s.

Step 2 ：The force required to stop an object can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration.

Step 3 ：In this case, the acceleration is the change in velocity divided by the time it takes for that change to occur. Since the ball is brought to a stop, the change in velocity is equal to the initial velocity of the ball.

Step 4 ：Therefore, the force can be calculated as follows: \(F = m \cdot a = m \cdot \frac{\Delta v}{\Delta t}\)

Step 5 ：Substitute the given values into the equation to find the force: \(F = 0.42 \cdot \frac{32}{0.11}\)

Step 6 ：The force calculated from the given values is approximately 122.18 N. However, this value is not among the options provided in the question. It's closest to 120 N, so it's possible that the actual answer is 120 N due to rounding or a slight variation in the values used for the calculation.

Step 7 ：Final Answer: The constant force that Kailen Sheridan applied opposite the direction of the ball's velocity during that time is approximately \(\boxed{120 \mathrm{~N}}\).