Block on Rough Surface Simulation
Example 6.6: Block with Retarding Force
A block moving on a horizontal surface enters a rough patch where the retarding force is inversely proportional to distance.
1.0
2.0
0.5
Physics Results
Retarding Force: \( F_r = \frac{-k}{x} \) for \( 0.1 < x < 2.01 \, \text{m} \)
Final Kinetic Energy: 0.5 J
Final Velocity: 1.0 m/s
\( K_f = K_i + \int_{0.1}^{2.01} \frac{-k}{x} \, dx = \frac{1}{2}mv_i^2 - k \ln\left(\frac{2.01}{0.1}\right) \)