Given:
k = 100 lb/ft, m = 1 lb / (32.2 ft/s) = 0.03106 slugs
Solution:
F = -kx
mx" = -kx
x" + (k/m)x = 0
characteristic equation:
r^2 + k/m = 0
r = i*sqrt(k/m)
x = Asin(sqrt(k/m)t) + Bcos(sqrt(k/m)t)
ω = sqrt(k/m)
2π/T = sqrt(k/m)
T = 2π*sqrt(m/k)
T = 2π*sqrt(0.03106 slugs / 100 lb/ft)
T = 0.1107 s (period)
x(0) = 1/12 ft = 0.08333 ft
x'(0) = 0
1/12 = Asin(0) + Bcos(0)
B = 1/12 = 0.08333 ft
x' = Aω*cos(ωt) - Bω*sin(ωt)
0 = Aω*cos(0) - (1/12)ω*sin(0)
0 = Aω
A = 0
So B would be the amplitude. Therefore, the equation of motion would be x
= 0.08333*cos[(2π/0.1107)t]
The building of mountains comes from convergent boundaries, because when two plates ram into each other, it creates a mountain. It's like having 2 piles of sand. When you try and shove them together, they end up forming a hill instead of making a neat surface. Volcanoes often occur at subduction zones (look up the ring of fire (not the song ;) ) because when the plate from the ocean sinks into the mantle, the water it absorbed lowers the melting point of the rock. This makes the rock turn into magma which rises to the surface and forms volcanoes.
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Answer:
Rhodium. This extremely rare, valuable and silvery-colored metal is commonly used for its reflective properties. ...
Platinum.
Gold.
Iridium.
Osmium.
Palladium.
Rhenium
Explanation:
Answer:
Explanation:
to better themselves and to be good educated people
Answer:
3.34 kJ
Explanation:
FIrst of all, we need to calculate the number of moles corresponding to 10.0g of ice. This is given by
where
is the molar mas
m = 10.0 g is the mass
Substituting
Now we know that the heat of fusion is
so the thermal energy needed to fuse the ice is
