Answer:
v'=5.97 m/s
Explanation:
If the friction and fluid friction are ignored, then by law of conservation of mechanical energy, potential energy at the top of the slide must be equal to the kinetic energy at the bottom of the slide. Thus, the height of slide and final speed at the bottom of the slide are related as:
let the final speed be v' when h' = 2 h
Hello!
Everything you've done so far seems to be correct. However, you need to get rid of the sin. To do this, use s.
This is known as the inverse of sin, which is where you go from a fraction to the actual angle itself.
When you run through a calculator, you get about 11.537 degrees, or θ = 11.537.
To verify this, all you need to do is run sin (11.537), and the calculator returns 0.2, which is what we're looking for.
Hope this helps!