Caterpillar Pellets The larvae (caterpillars) of certain species of butterflies and moths construct shelters on a host plant out of folded or rolled leaves secured with silk threads. Many of those types of caterpillars eliminate waste by ejecting fecal pellets (frass) at high speeds so that the pellets are projected far away from the caterpillar and its shelter. Various explanations for this behavior have been proposed, but some studies have shown that it may help keep predatory insects such as wasps from locating the caterpillars by homing in on the odor of caterpillar frass. Video microscopy has been used to study the pellet ejection process In one study, the video images reveal that a group of Brazilian skipper caterpillars that are about 50 mm long eject pellets at angles between 10° and 40° above the horizontal. There is no correlation between the size of the pellet and the angle at which it is ejected, but larger pellets are shot with lower speeds, as shown in Figure 4-35 . The pellets are small and dense enough that at the speeds at which they travel air resistance is negligible. Figure 4-35 Problem 88, 89, 90 and 91 89. •• What is the maximum height above its launch site of a 20-mg pellet that’s launched at an angle of 20° above the horizontal? A. 5.1 cm B. 4.5 cm C. 1.2 cm D. 6.0 mm
Caterpillar Pellets The larvae (caterpillars) of certain species of butterflies and moths construct shelters on a host plant out of folded or rolled leaves secured with silk threads. Many of those types of caterpillars eliminate waste by ejecting fecal pellets (frass) at high speeds so that the pellets are projected far away from the caterpillar and its shelter. Various explanations for this behavior have been proposed, but some studies have shown that it may help keep predatory insects such as wasps from locating the caterpillars by homing in on the odor of caterpillar frass. Video microscopy has been used to study the pellet ejection process In one study, the video images reveal that a group of Brazilian skipper caterpillars that are about 50 mm long eject pellets at angles between 10° and 40° above the horizontal. There is no correlation between the size of the pellet and the angle at which it is ejected, but larger pellets are shot with lower speeds, as shown in Figure 4-35 . The pellets are small and dense enough that at the speeds at which they travel air resistance is negligible. Figure 4-35 Problem 88, 89, 90 and 91 89. •• What is the maximum height above its launch site of a 20-mg pellet that’s launched at an angle of 20° above the horizontal? A. 5.1 cm B. 4.5 cm C. 1.2 cm D. 6.0 mm
The larvae (caterpillars) of certain species of butterflies and moths construct shelters on a host plant out of folded or rolled leaves secured with silk threads. Many of those types of caterpillars eliminate waste by ejecting fecal pellets (frass) at high speeds so that the pellets are projected far away from the caterpillar and its shelter. Various explanations for this behavior have been proposed, but some studies have shown that it may help keep predatory insects such as wasps from locating the caterpillars by homing in on the odor of caterpillar frass.
Video microscopy has been used to study the pellet ejection process In one study, the video images reveal that a group of Brazilian skipper caterpillars that are about 50 mm long eject pellets at angles between 10° and 40° above the horizontal. There is no correlation between the size of the pellet and the angle at which it is ejected, but larger pellets are shot with lower speeds, as shown in Figure 4-35. The pellets are small and dense enough that at the speeds at which they travel air resistance is negligible.
Figure 4-35
Problem 88, 89, 90 and 91
89. •• What is the maximum height above its launch site of a 20-mg pellet that’s launched at an angle of 20° above the horizontal?
At point A, 3.20 m from a small source of sound that is emitting uniformly in all directions, the intensity level is 58.0 dB. What is the intensity of the sound at A? How far from the source must you go so that the intensity is one-fourth of what it was at A? How far must you go so that the sound level is one-fourth of what it was at A?
Make a plot of the acceleration of a ball that is thrown upward at 20 m/s subject to gravitation alone (no drag). Assume upward is the +y direction (and downward negative y).
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