A spring is used to launch a coffee mug. The 20cm long spring can be compressed by a maximum of 8cm. The mug has a mass of 750 g. What kind of spring do you need to launch the mug at least 2 stories high (8 m) - as measured from the relaxed spring position - using the maximum compression?

To reach height of 8 cm the value of  k should be less than or equal to 18750 N/m .

Explanation:

We need to find what kind of spring do you need to launch the mug at least 2 stories high (8 m) i.e what is the minimum spring constant should be .

Also , the maximum compression is 8 cm .

Therefore , by conservation of energy .

Putting all values in above equation .

We get :

Therefore , to reach height of 8 cm the value of  k should be less than or equal to 18750 N/m .

if you already have the answer to (a), then just work out how many periods there are in 1 minute, and that's the answer to (c).

this means that the temperature of both substances will be equal