Answer :
Final answer:
The speed of the pendulum at an angle of 41.6 degrees above the vertical is approximately 2.33 m/s.
Explanation:
To find the speed of the pendulum at a certain angle, we can use the conservation of mechanical energy. The formula to calculate the speed is given by v = sqrt(2gh(1 - cos(theta))), where v is the speed, g is the acceleration due to gravity, h is the height difference, and theta is the angle. In this case, the height difference is equal to 1.10m - 1.10m*cos(52.0) - 1.10m*cos(41.6). Substituting the values, we get v = sqrt(2 * 9.8 m/s^2 * (1.10m - 1.10m*cos(52.0) - 1.10m*cos(41.6)) * (1 - cos(41.6))). After calculating, the speed of the pendulum at that angle is approximately 2.33 m/s.
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