Force Calculation in Physics
Explanation:
Given:
Mass of the heavy bag, \( m = 25 \, \text{kg} \)
Angle made by the bag with the vertical, \( \theta = 36^{\circ} \)
We need to find the force the boxer must exert on the bag.
Using the formula mentioned above:
\[ F = 25 \times 9.8 \times \cos(36^{\circ}) \] \[ F = 25 \times 9.8 \times \cos(0.6293) \] \[ F = 25 \times 9.8 \times 0.8090 \] \[ F = 198.20 \, \text{N} \]Therefore, the boxer must exert a force of 198.20 N on the heavy bag hanging from the ceiling at an angle of 36 degrees to the vertical.