On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into projectile motion. Seismic waves produced by its impact with the ground triggered seismographs as far away as 200 km. Later measurements indicated that the block had a mass between 7.3× 107 kg and 1.7 x 10° kg and that it landed 500 m vertically below the launch point and 30 m horizontally from it. (The launch angle is not known.) Assume the mass to be 12 x 107 kg. (a) Estimate the block's kinetic energy just before it landed. Consider two types of seismic waves that spread from the impact point – a hemispherical body wave traveled through the ground in an expanding hemisphere and a cylindrical surface wave traveled along the ground in an expanding shallow vertical cylinder (see the figure). Assume that the impact lasted 0.41s, the vertical cylinder had a depth d of 4.2 m, and each wave type received 23% of the energy the block had just before impact. Neglecting any mechanical energy loss the waves experienced as they traveled, determine the intensities of (b) the body wave and (c) the surface wave when they reached a seismograph 200 km away. (d) On the basis of these results, which wave is more easily detected on a distant seismograph? -Cylindrical Impact wave -Hemispherical wave

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Question 13 of 15
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On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into
projectile motion. Seismic waves produced by its impact with the ground triggered seismographs as far away as 200 km. Later
measurements indicated that the block had a mass between 7.3 × 107 kg and 1.7× 10° kg and that it landed 500m vertically below the
launch point and 30 m horizontally from it. (The launch angle is not known.) Assume the mass to be 12 × 107 kg. (a) Estimate the block's
kinetic energy just before it landed.
Consider two types of seismic waves that spread from the impact point – a hemispherical body wave traveled through the ground in an
expanding hemisphere and a cylindrical surface wave traveled along the ground in an expanding shallow vertical cylinder (see the
figure). Assume that the impact lasted 0.41 s, the vertical cylinder had a depth d of 4.2 m, and each wave type received 23% of the
energy the block had just before impact. Neglecting any mechanical energy loss the waves experienced as they traveled, determine the
intensities of (b) the body wave and (c) the surface wave when they reached a seismograph 200 km away. (d) On the basis of these
results, which wave is more easily detected on a distant seismograph?
-Cylindrical
-Impact
wave
d
-Hemispherical wave
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
(d)
Transcribed Image Text:3 (due Monday, Oct 4 3:30 PM) Question 13 of 15 > - / 1 On July 10, 1996, a granite block broke away from a wall in Yosemite Valley and, as it began to slide down the wall, was launched into projectile motion. Seismic waves produced by its impact with the ground triggered seismographs as far away as 200 km. Later measurements indicated that the block had a mass between 7.3 × 107 kg and 1.7× 10° kg and that it landed 500m vertically below the launch point and 30 m horizontally from it. (The launch angle is not known.) Assume the mass to be 12 × 107 kg. (a) Estimate the block's kinetic energy just before it landed. Consider two types of seismic waves that spread from the impact point – a hemispherical body wave traveled through the ground in an expanding hemisphere and a cylindrical surface wave traveled along the ground in an expanding shallow vertical cylinder (see the figure). Assume that the impact lasted 0.41 s, the vertical cylinder had a depth d of 4.2 m, and each wave type received 23% of the energy the block had just before impact. Neglecting any mechanical energy loss the waves experienced as they traveled, determine the intensities of (b) the body wave and (c) the surface wave when they reached a seismograph 200 km away. (d) On the basis of these results, which wave is more easily detected on a distant seismograph? -Cylindrical -Impact wave d -Hemispherical wave (a) Number i Units (b) Number i Units (c) Number i Units (d)
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