Final answer:
Without the initial and final velocities of the red ball, we cannot calculate the exact force vector. However, by using the impulse-momentum theorem, one can find the average force by dividing the change in momentum by the time interval of the collision.
Step-by-step explanation:
To determine the force vector exerted on the red ball during the collision, we need to know the initial and final velocities of the red ball, which were not provided in the question. However, we can explain how to calculate this force using the formula for impulse, which is the change in momentum of an object. The impulse experienced by the red ball can be found by subtracting its momentum after the collision from its momentum before the collision (assuming we knew these values).
The formula for impulse (I) is:
I = Δp = F × t
Where:
- Δp is the change in momentum
- F is the average force exerted during the collision
- t is the time interval of the collision
Once the change in momentum (Δp) has been calculated using the ball's initial and final velocities and mass, you can rearrange the impulse formula to solve for the average force (F):
F = Δp / t
Note that the direction of the force exerted on the red ball will be opposite to the direction of its momentum change, due to Newton's third law, which states that for every action, there is an equal and opposite reaction. Without specific velocity values, the exact force vector cannot be provided; we can only explain the method to find it.