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A spring-loaded toy gun shoots straight up, and the toy rocket (m = 250g) reaches a...

A spring-loaded toy gun shoots straight up, and the toy rocket (m = 250g) reaches a maximum height hmax of 15.0 m when the spring is compressed 7.0 cm from its equilibrium position. What is the value of the spring constant, ks? (neglect friction with air and gun and assume an ideal spring)

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Expert Solution

(A) APPLYING energy conservation,

PEi + KEi = PEf + KEf

(0 + k x^2 / 2) + 0 = ( m g h + 0 ) + 0

k (0.07^2) /2 = (0.250)(9.81)(15)

k =15000 N/m

genius_generous answered 2 years ago
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