Answer:
a. k = (1/k₁ + 1/k₂)⁻¹ b. k = (1/k₁ + 1/k₂ + 1/k₃)⁻¹
Explanation:
Since only one force F acts, the force on spring with spring constant k₁ is F = k₁x₁ where x₁ is its extension
the force on spring with spring constant k₂ is F = k₂x₂ where x₁ is its extension
Let F = kx be the force on the equivalent spring with spring constant k and extension x.
The total extension , x = x₁ + x₂
x = F/k = F/k₁ + F/k₂
1/k = 1/k₁ + 1/k₂
k = (1/k₁ + 1/k₂)⁻¹
B
The force on spring with spring constant k₃ is F = k₃x₃ where x₃ is its extension
Let F = kx be the force on the equivalent spring with spring constant k and extension x.
The total extension , x = x₁ + x₂ + x₃
x = F/k = F/k₁ + F/k₂ + F/k₃
1/k = 1/k₁ + 1/k₂ + 1/k₃
k = (1/k₁ + 1/k₂ + 1/k₃)⁻¹
Answer: C- the outer core
Explanation: The outer core is a thick layer of molten rock that encircles the inner core.
The equation relates energy to mass
<span>a crack across rock layers caused by moving plates
molten rock - fault (a fault is a rupture or scission in a block of rocks that allows both parts from the scission to slide over each other)
</span><span>horizontal intrusion - sill (a sill is a mass of igneous rock that intruded horizontally and laterally through rock layers already existent)
</span><span>vertical intrusion - d(y)ke (a d(y)ke is also a mass of igneous rock, but this time that intruded vertically across rock layers, many times through an already existing crack)
</span><span>natural, upward movement of rock layers - uplift (uplift is a geological process in which a portion of the Earth's crust is elevated from its original position due to plate tectonics)</span>