a spring cannon consists of a spring that can launch a ball straight upwards. If the spring is compressed by 5cm from its equilibrium length, it can launch a 100g ball 2m straight up. What is the spring constant of the spring?

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Chapter1: Units, Trigonometry. And Vectors
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a spring cannon consists of a spring that can launch a ball straight upwards. If the spring is compressed by 5cm from its equilibrium length, it can launch a 100g ball 2m straight up. What is the spring constant of the spring?

Expert Solution
Step 1: Given

Here, the total energy of the compressed spring is the converted form or the kinetic energy of the ball. At the top position the kinetic energy is converted into the potential energy.

Given,

x=5 cm=0.05m is equal to the compression of the spring.

m is the mass of the ball =100 g=0.1 kg

height is =2 m 

g is the gravitational constant

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