Aspring has a spring constant k of 88.0 n/m. how much must this spring be compressed to store 45.0 j of potential energy

The compression in the string is 1.011 m.

Explanation:

Given that,

Spring constant = 88.0 N/m

Potential energy = 45.0 J

We need to calculate the compression in the string

Using formula of elastic potential energy

Where, U = potential energy

k = spring constant

x = compression in the string

Put the value into the formula

Hence, The compression in the string is 1.011 m.

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

earth's neighboring galaxy, the andromeda galaxy, is a distance of 2.54×107 light-years from earth. if the lifetime of a human is taken to be 70.0 years, a spaceship would need to achieve some minimum speed min to deliver a living human being to this galaxy.