What forms of energy are involved when snow on a mountain breaks loose, resulting in an avalanche?
2 answers:
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Answer:
On 7.8 acres there are 31565.3 square meters
7.8 acres = 31565.3 m²
Explanation:
Conceptual analysis
Acre, square mile and square meter are area units, so their equivalences are in square units.
Known data
1 (mi)² = 640 acres
1 mi = 1609.34 m
Problem development
We know that 1 mile = 1609.34m, then: (1 mile)² = (1609.34m)²=(1609.34)²m²
We apply the known conversion factors to calculate the square meters (X) in 7.8 acres:
We eliminate acres and square miles (mi²) because they are in the numerator and denominator, so the answer is in square meters (m²)
X=31565.3 m²
On 7.8 acres there are 31565.3 square meters
7.8 acres = 31565.3 m²
Answer:
v = 29.4 m / s
Explanation:
For this exercise we can use the conservation of mechanical energy
Lowest starting point.
Em₀ = K = ½ m v²
final point. Higher
= U = m g h
Let's use trigonometry to lock her up
cos 60 = y / L
y = L cos 60
Height is the initial length minus the length at the maximum angle
h = L - L cos 60
h = L (1- cos 60)
energy is conserved
Em₀ = Em_{f}
½ m v² = mgL (1 - cos 60)
v = 2g L (1- cos 60)
let's calculate
v² = 2 9.8 3.0 (1- cos 60)
v = 29.4 m / s