An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp.
An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp.
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An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp.
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VIEWStep 2: Calculating the potential energy at the top of the ramp.
VIEWStep 3: Calculating the work done by friction and spring during the horizontal motion.
VIEWStep 4: Calculating compression the spring
VIEWStep 5: Calculating the Package pushed in the opposite direction by the spring
VIEWStep 6: Solving equation 1 and 2
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