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Question
campers in alaska are using a dog sled to move supplies from the store to their campground. each time they go to the store, they put different objects on the sled. the dogs always pull the sled with the same force, no matter what supplies are on the sled. order the loads to show the size of the acceleration the sled will have each time it leaves the store. larger acceleration
Step1: Calculate the mass of each load
- For 2 battery packs: \(2\times700 = 1400\) g
- For 10 blankets: \(10\times500=5000\) g
- For 5 food packages: \(5\times600 = 3000\) g
- For 20 medicine bottles: \(20\times200=4000\) g
Step2: Use Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, \(a\) is acceleration, and \(a=\frac{F}{m}\), \(F\) is constant)
Since \(a\propto\frac{1}{m}\) (inverse - proportional relationship when \(F\) is constant), the smaller the mass \(m\), the larger the acceleration \(a\)
Step3: Compare the masses
\(1400\lt3000\lt4000\lt5000\)
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2 battery packs, 5 food packages, 20 medicine bottles, 10 blankets