Calculate the work done by non conservative forces of a hockey stick hitting a tennis ball using elastic potential energy, and kinetic energy if the mass of the ball is 0.058kg and the ball is shot at 34m/s for .41s and travels 5.09m, and the hockey stick bends 0.10m.
To calculate the work done by non-conservative forces on the tennis ball using elastic potential energy and kinetic energy, we can use the following steps:
Step 1: Determine the initial and final velocities of the tennis ball.
Given:
- Initial velocity (u) = 0 m/s (since the ball is at rest initially)
- Final velocity (v) = 34 m/s (as given)
Step 2: Calculate the acceleration of the ball.
Using the formula: v = u + at
Rearranging the formula to solve for acceleration (a), we get:
a = (v - u) / t
Given:
- Acceleration (a) = (v - u) / t = (34 m/s - 0 m/s) / 0.41 s
Step 3: Calculate the force experienced by the ball.
Using Newton's second law of motion: F = ma
Substituting the known values:
- Mass (m) = 0.058 kg (as given)
- Acceleration (a) = calculated from Step 2
Step 4: Calculate the displacement of the ball.
Given:
- Displacement (s) = 5.09 m (as given)
Step 5: Calculate the work done by conservative forces.
The work done by conservative forces can be determined by the change in elastic potential energy, given by W = (1/2) k x^2, where k is the spring constant and x is the displacement.
Given:
- Displacement (x) = 0.10 m (as given)
Step 6: Calculate the total work done by non-conservative forces.
The total work done (W_T) is the sum of the work done by conservative forces (Wc) and the work done by non-conservative forces (Wnc):
W_T = Wc + Wnc
Since the work done by conservative forces is equal to the change in elastic potential energy, we can substitute the variables and calculate the total work done.
It is important to note that without additional information about the non-conservative forces acting on the ball, it is difficult to accurately determine the work done by non-conservative forces. Non-conservative forces can include friction, air resistance, etc., and we would need additional information to calculate their individual contributions to the total work.
Please provide further details if you have any specific information about the non-conservative forces acting on the tennis ball.