Calculation of Tension in Wire for Rocket Launch

Understanding the Forces Involved

Equipment Weight: The weight of the equipment can be calculated using the formula Fg = mg, where m is the mass and g is the acceleration due to gravity (9.8 m/s²). In this case, the weight is 16.5 kg * 9.8 m/s² = 161.7 N.

Rocket Acceleration: The acceleration of the rocket can be calculated using the kinematic equation d = 0.5at². Given that the rocket reaches a height of 60.0 km in 26.5 s, the acceleration is approximately 179.9 m/s².

Total Force: The total force, which represents the tension in the wire, is the sum of the weight of the equipment and the force due to the rocket's acceleration. The calculation yields a tension of 3135.2 N.

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