Force Calculation in Physics

What is the formula to calculate the force when a boxer pushes on a heavy bag hanging from the ceiling at an angle? The formula to calculate the force when a boxer pushes on a heavy bag hanging from the ceiling at an angle is given by: \[ F = mg \times \cos(\theta) \] Where: - \( F \) is the force exerted by the boxer on the bag. - \( m \) is the mass of the heavy bag. - \( g \) is the acceleration due to gravity (approximately 9.8 m/s^2). - \( \theta \) is the angle made by the bag with the vertical.

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.

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