Robin Hood, whose mass is \(78.6\,\text{kg}\), is holding a \(6.28\,\text{m}\) long rope that has been pulled back \(42.35^{\circ}\) from the vertical. He will swing like a pendulum until reaching the lowest point of the arc, at which point he grabs a hanging bag of coins of mass \(12.3\,\text{kg}\). Immediately upon grabbing the coins, he releases the rope and continues forward as a projectile toward a lake surface below. The release point of the rope is \(9.72\,\text{m}\) above the water level. The local gravitational field strength is \(6.90\,\text{m/s}^2\).