The discussion centers on calculating the tension in a string holding a mass of 1.0 kg at an angle of θ = 49.6° from the vertical. The formula used is T = mg/cos(θ), where T represents tension, m is mass, and g is the acceleration due to gravity (9.8 m/s²). The correct calculation yields a tension of approximately 1.7 N. The initial attempt incorrectly used a mass of 0.15 kg and an angle of 30°, leading to an erroneous result.
PREREQUISITESStudents studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of tension calculations in real-world applications.
santoki said:[
Tcosθ = mg => T = mg/cosθ
= (0.15 kg)(9.8 m/s2)/cos30°
= 1.7 N