## Kuroks 3 years ago The Steamboat aloftser in Yellowstone National Park, Wyoming is capable of shooting its hot water up from the ground with a speed of 48.0 m/s. How high can this geyser shoot? (HINT: USE KINEMATIC EQUATIONS)

1. henkjan

use energy conservation kinetic energy is converted into potential here. Ekin = 1/2mv^2 Epot =m*g*h 1/2V^2 = g*h

2. Kuroks

Im confused, can you explain it more?

3. henkjan

You conserve energy here..... the kinetic energy in the start is 1/2*m*v^2 ALL this energy is converted to potential energy. The potential energy at the end is given as: m*g*h You know they are equal, so we can use an equation to calculate the height h. m*g*h = m*1/2*V^2 We see that we can take m out: g*h = 1/2 V^2

4. Kuroks

So you cant do anything other than that?

5. henkjan

Yes, you can... but this is the easiest way to do it. You can also solve by using s = 1/2*a*t^2.. a = g = 9.81 m/s2 t = v/g = 48/9.81 s = 1/2 * a * (v/g)^2 = 9.81*(48/9.81)^2

6. henkjan

But it boils down into the same equation as: s = h = 1/2 * g * (v/g)^2 = 1/2 *V^2/g

7. Kuroks

Okay, thank you ^^