Aspring is used to launch a coffee mug. the 20 cm long spring can be compressed by a maximum of 8 cm. the mug has a mass of 300 g. what kind of spring do you need to launch the mug at least 2 stories high (5 m) - as measured from the relaxed spring position - using the maximum compression? n/m

k=4593.75

Explanation:

Given

length of spring =20 cm

maximum compression in spring is x=8 cm

mass of mug m=300 gm

maximum height to which cup is needed to raise is h=5 m

By conserving Energy i.e. Elastic Potential Energy will be converted in to Potential energy of cup

where

so we should use a spring with spring constant k=4593.75 N/m

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement