You are part of a search-and-rescue mission that has been called out to look for a lost explorer. You have found the missing explorer, but you are separated from him by a 200-m-high cliff and a 30-m-wide raging river, as shown in the figure. To save his life, you need to get a 5.0 kg package of emergency supplies across the river. Unfortunately, you cannot throw the package hard enough to make it across. Fortunately, you happen to have a 1.0 kg rocket intended for launching flares. Improvising quickly, you attach a sharpened stick to the front of the rocket, so that it will impale itself into the package of supplies. Once the stick is attached, you fire the rocket at the horizontal ground level toward the supplies. If the rocket and the stick remain inside the package, what minimum speed must the rocket have just before the impalement in order to save the explorer’s life? Assume that the mass of the stick and the air resistance are negligible, and ignore the gravitational effect only when the rocket is on its way to impale the package.
You are part of a search-and-rescue mission that has been called out to look for a lost explorer. You have found the missing explorer, but you are separated from him by a 200-m-high cliff and a 30-m-wide raging river, as shown in the figure. To save his life, you need to get a 5.0 kg package of emergency supplies across the river. Unfortunately, you cannot throw the package hard enough to make it across. Fortunately, you happen to have a 1.0 kg rocket intended for launching flares. Improvising quickly, you attach a sharpened stick to the front of the rocket, so that it will impale itself into the package of supplies. Once the stick is attached, you fire the rocket at the horizontal ground level toward the supplies. If the rocket and the stick remain inside the package, what minimum speed must the rocket have just before the impalement in order to save the explorer’s life? Assume that the mass of the stick and the air resistance are negligible, and ignore the gravitational effect only when the rocket is on its way to impale the package.
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