Answer:
0.6 m
Explanation:
When a spring is compressed it stores potential energy. This energy is:
Ep = 1/2 * k * x^2
Being x the distance it compressed/stretched.
When the spring bounces the ice cube back it will transfer that energy to the cube, it will raise up the slope, reaching a high point where it will have a speed of zero and a potential energy equal to what the spring gave it.
The potential energy of the ice cube is:
Ep = m * g * h
This is vertical height and is related to the distance up the slope by:
sin(a) = h/d
h = sin(a) * d
Replacing:
Ep = m * g * sin(a) * d
Equating both potential energies:
1/2 * k * x^2 = m * g * sin(a) * d
d = (1/2 * k * x^2) / (m * g * sin(a))
d= (1/2 * 25 * 0.1^2) / (0.05 * 9.81 * sin(25)) = 0.6 m
Answer:
Explanation:
If we express all of the cordinates in their rectangular form we get:
A = (1404.77 , 655.06) m
Since we need C to be (0,0) we stablish that:
That way we make an equation system from both X and Y coordinates:
Replacing values:
With this system we can solve for both Db and Dc and get the answers to the question:
The answer is Caribbean Sea south of San Juan, Puerto Rico. A protectorate,
in its beginning accepted by modern international law, is a reliant territory
that has been arranged local independence and some individuality while still remembering
the suzerainty of a better sovereign state.
