Superman wanted to launch a small rocket using a spring mounted vertically on the ground. He placed the 4.0 kg rocket on a very stiff spring. The spring is 1.5m long, it has negligible mass and a spring force constant of 100,000 N/m. He compresses the spring for 1.1m. He then releases the spring. If y = 0 at the ground level, the system consists of the rocket and the spring; (I) what is the energy of the system before Superman releases the rocket? (II)What is the maximum height the rocket can reach if we can neglect air resistance? (III) If air resistance can’t be neglected, it exerts a constant force of 37.5N on the rocket, how high will the rocket reach?
Superman wanted to launch a small rocket using a spring mounted vertically on the ground. He placed the 4.0 kg rocket on a very stiff spring. The spring is 1.5m long, it has negligible mass and a spring force constant of 100,000 N/m. He compresses the spring for 1.1m. He then releases the spring. If y = 0 at the ground level, the system consists of the rocket and the spring; (I) what is the energy of the system before Superman releases the rocket? (II)What is the maximum height the rocket can reach if we can neglect air resistance? (III) If air resistance can’t be neglected, it exerts a constant force of 37.5N on the rocket, how high will the rocket reach? (IV) What is the speed of the rocket when it is 120.0 m from the ground if air resistance is taken into account?
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