Tsunami waves generally carry 770 kg of water, travel approximately 10 m/s and have a height of 10 m at landfall. The colony structures can withstand

135,000 J of energy before catastrophic damage occurs. Based on the data and the energy relationships, justify to the colonizing council whether this crash

site can sustain a permanent colony

Explanation:

Mass of water tsunami carries is m= 770kg

With a speed of v = 10m/s

It has height of h=10m at land fall

Colony structure can withstand 135,000J of energy before damage

Energy of the tsunami

K.E of the tsunami

K.E=1/2mv²

K.E=0.5× 770 ×10²

K.E=38500J

P.E of the tsunami

P.E= mgh

P.E= 770×9.8×10

P.E= 75468J

Total energy is P.E + K.E

Total energy =75468+38500

TOTAL ENERGY= 113960J

the colony can withstand =135,000J

Since the energy of the tsunami is not up to the energy that can destroy the colony, then the site can sustain a permanent colony

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2