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Earth and Space Science - Plate Tectonics and Natural Hazards

Grade 8IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

The Earth is composed of four distinct layers: the inner core, outer core, mantle, and crust. The lithosphere (crust and uppermost mantle) is divided into tectonic plates that float on the semi-fluid asthenosphere.

Continental Drift Theory, proposed by Alfred Wegener, suggests that continents were once joined in a supercontinent called PangaeaPangaea and have since drifted apart.

Plate movement is driven by convection currents in the mantle, where heat from the core causes magma to rise, cool, and sink in a continuous cycle.

Divergent Boundaries occur where plates move apart, leading to seafloor spreading at mid-ocean ridges and the formation of new oceanic crust. The rate of spreading is typically measured in cm/yearcm/year.

Convergent Boundaries occur where plates collide. If an oceanic plate meets a continental plate, subduction occurs, forming deep-sea trenches and volcanic arcs. If two continental plates collide, they form fold mountains like the HimalayasHimalayas.

Transform Boundaries involve plates sliding past each other horizontally. Friction causes pressure to build up, which is suddenly released as an earthquake (e.g., the San Andreas Fault).

Earthquakes release energy in the form of seismic waves: Primary waves (PP-waves) are longitudinal and fast, while Secondary waves (SS-waves) are transverse and slower. Surface waves cause the most destruction.

Volcanoes are formed by the movement of magma. High levels of silica (SiO2SiO_2) in magma increase viscosity, leading to more explosive eruptions in composite volcanoes compared to shield volcanoes.

Natural hazard mitigation involves monitoring seismic activity, building earthquake-resistant structures, and creating early warning systems for tsunamis caused by underwater tectonic shifts.

📐Formulae

ρ=mV\rho = \frac{m}{V}

v=dtv = \frac{d}{t}

Δt=tstp\Delta t = t_s - t_p

E101.5M+4.8E \approx 10^{1.5M + 4.8}

💡Examples

Problem 1:

A seismic station records the arrival of a PP-wave at 10:00:0010:00:00 AMAM and an SS-wave at 10:00:3510:00:35 AMAM. If the PP-wave travels at vp=8v_p = 8 km/skm/s and the SS-wave travels at vs=4.5v_s = 4.5 km/skm/s, calculate the distance dd to the earthquake epicenter.

Solution:

Using the formula t=dvt = \frac{d}{v}, we set up the equation for the time difference: d4.5d8=35\frac{d}{4.5} - \frac{d}{8} = 35. Solving for dd: 8d4.5d36=353.5d=1260d=360\frac{8d - 4.5d}{36} = 35 \Rightarrow 3.5d = 1260 \Rightarrow d = 360 kmkm.

Explanation:

The 'lag time' between the arrival of PP and SS waves is directly proportional to the distance from the epicenter. By knowing the velocities of both waves, we can triangulate the location.

Problem 2:

A sample of oceanic crust has a mass m=90m = 90 gg and a volume V=30V = 30 cm3cm^3. Calculate its density ρ\rho.

Solution:

ρ=90 g30 cm3=3.0 g/cm3\rho = \frac{90\text{ g}}{30\text{ cm}^3} = 3.0\text{ g/cm}^3

Explanation:

Oceanic crust is primarily composed of basalt, which has a higher density (approx. 3.03.0 g/cm3g/cm^3) compared to continental crust (approx. 2.72.7 g/cm3g/cm^3), explaining why oceanic plates subduct beneath continental plates.

Problem 3:

Compare the energy release of a Magnitude 7.07.0 earthquake to a Magnitude 5.05.0 earthquake on the Richter Scale.

Solution:

The energy increase for each whole number on the Richter scale is approximately 101.53210^{1.5} \approx 32 times. For a difference of 22 magnitudes, the energy difference is (101.5)2=103=1000(10^{1.5})^2 = 10^3 = 1000 times.

Explanation:

The Richter scale is logarithmic. An increase of 1.01.0 in magnitude represents roughly 3232 times more energy release, so a 2.02.0 increase represents 32×32100032 \times 32 \approx 1000 times more energy.