The mass of a regulation tennis ball is 62.0 (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 34.0 . (This number can also vary, depending on the racket and swing.) We shall assume a 34.0 contact time throughout this problem. The fastest-known served tennis ball was served by "Big Bill" Tilden in 1931, and its speed was measured to be 73.14 . The impulse for his record serve is 4.53. So, What force did Big Bill exert on the tennis ball in his record serve? Pleas help, I'm stuck.
you need to find the force, but you already have the impulse. So, since the formula deltap=J, and J=F(deltat). You take the impulse 4.53 and divide by the time in seconds, .034s to find the force. the force would be 133 N
To find the force exerted by Big Bill on the tennis ball, we can use the concept of impulse. Impulse is defined as the change in momentum of an object and is given by the product of the force applied and the time of contact. Mathematically, impulse (J) is given by J = F * Δt, where F is the force and Δt is the time of contact.
Given:
Mass of the tennis ball (m) = 62.0 grams = 0.062 kg
Time of contact (Δt) = 34.0 ms = 34.0 * 10^(-3) s
Impulse (J) = 4.53 kg⋅m/s
To calculate the force (F), we rearrange the equation: F = J / Δt.
Let's plug in the values to calculate the force:
F = 4.53 kg⋅m/s / (34.0 * 10^(-3) s)
F = 133.24 N
Therefore, Big Bill exerted a force of approximately 133.24 Newtons on the tennis ball during his record serve.
To find the force exerted by Big Bill on the tennis ball in his record serve, you can use the concept of impulse. Impulse is defined as the change in momentum, which can be calculated by multiplying the force applied on an object by the time of contact.
The formula to calculate impulse is:
Impulse = Force * Time
In this case, the impulse is given as 4.53 N·s and the time of contact is 34.0 ms (0.034 s). We can rearrange the equation to solve for the force:
Force = Impulse / Time
Plugging in the given values:
Force = 4.53 N·s / 0.034 s
Force ≈ 133.24 N
Therefore, Big Bill exerted approximately 133.24 Newtons of force on the tennis ball in his record serve.