A 0.405 soccer ball is initially moving at 2.05. A soccer player kicks the ball, exerting a constant 40.5 force in the same direction as the ball's motion.
Your numbers require dimensions.
You also have failed to ask a question.
To find the final velocity of the soccer ball, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, we know the mass of the soccer ball is 0.405 kg and the force applied by the player is 40.5 N.
Step 1: Calculate the acceleration
Using Newton's second law, we can rearrange the formula to solve for acceleration:
Force = mass * acceleration
acceleration = Force / mass
acceleration = 40.5 N / 0.405 kg
acceleration = 100 m/s^2
Step 2: Calculate the change in velocity
To calculate the change in velocity, we can use the formula for acceleration:
Change in velocity = acceleration * time
Since we don't know the time, we'll use the formula without considering time for now.
Step 3: Calculate the final velocity
To find the final velocity, we need to add the change in velocity to the initial velocity:
Final velocity = Initial velocity + Change in velocity
In this case, the initial velocity is 2.05 m/s (given in the question).
Final velocity = 2.05 m/s + Change in velocity
Step 4: Calculate the change in velocity using time
To find the change in velocity, we need to consider the time for which the force is applied. The question doesn't provide the time, so we cannot calculate the exact change in velocity without it.
However, assuming the force is exerted for a short duration, such that the initial velocity remains relatively constant, we can use a simplified approach. In this case, we can calculate the change in velocity using the formula:
Change in velocity = acceleration * time
If you have the value of time, you can substitute it into the equation to find the change in velocity.