What do you mean by F(a) and F(n)?vysis said:Homework Statement
for an FDB of an tennis ball hitting the racquet. Is the F(a)=F(n) or is F(a) larger then F(n).
This is not Newton's 2nd law.The Attempt at a Solution
I think that F(a) = F(n). According to Newton's second law, they both receive the same force, however since the tennis ball has less mass, it receiver a larger acceleration then the tennis racquet (which is also anchored by the player's arm).
Draw a FBD of the ball, not the racquet. What forces act on the ball? The problem is not asking for acceleration.Im pretty sure I am right, but it's always good to be sure.
PhanthomJay said:What do you mean by F(a) and F(n)?
umm, yea sry. I was typing a bit too quickly. Third and Second law.This is not Newton's 2nd law.
nono, i mean if a tennis racquet was to hit a tennis ball. Would the applied force and normal force be equal or would applied force be larger?Draw a FBD of the ball, not the racquet. What forces act on the ball? The problem is not asking for acceleration.
Well, you just answered your question!vysis said:yea, the equal and opposite force excerted on the racquet stated by the 3rd law.
Correct! (equal but opposite in direction...force exerted on ball by racquet = force exerted on racquet by ball)vysis said:lol, so to sum it up:
force exerted on ball = force exerted on racquet.
Sort of. The acceleration of the ball will be in the direction of the average impulse force (which you refer to as the applied force), in accordance with Newton 2. The racquets acceleration (deceleration) is a much more complex phenomenon because of the additional varying force acting on it from the player, and the impulsive nature of the event, but it is still Newton 2 at work.However, ball flies away extremely quickly and racquet doesn't is becaue racquet is heavier and therefore according to Newton's second low, it doesn't accelerate as much (and also since the racquet is anchored to the player's hands)
The purpose of this comparison is to understand the impact force exerted on a tennis ball during a collision with a racquet. This can provide insight into the mechanics of the collision and help improve player technique and equipment design.
F(a) refers to the average force applied to the ball during impact, while F(n) refers to the peak force applied to the ball. F(n) is typically higher than F(a) as it occurs at the moment of maximum deformation during the collision.
The values of F(a) and F(n) can be affected by various factors such as the speed of the ball, the angle of impact, the material and stiffness of the racquet, and the tension of the strings. Environmental factors such as temperature and humidity can also play a role.
By comparing F(a) and F(n), researchers can gain a better understanding of the forces involved in a tennis ball-racquet collision and how they can be manipulated to improve performance. This information can also be used to develop new training methods and equipment that can help reduce the risk of injury.
One limitation is that the values of F(a) and F(n) may vary depending on the specific conditions of the collision, such as the type of ball and the surface of the racquet. Additionally, these values may not accurately reflect the forces experienced during a real game situation due to the controlled nature of laboratory experiments.