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

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14