13. A spring with spring constant k = 500 N/m is compressed 50 cm from equilibrium by a block of mass m = 1 kg along a frictionless, horizontal plane. Once the spring and block are released, the box quickly slides down a slope. After sliding for 20.0m (measured along the hill), the block reaches a rough patch with μs = 0.300 and μk = 0.200 that is 20.0 m long (measured along the hill). What is the speed of the block immediately after the rough patch? The hill is 100m tall (measured vertically) and the slope has an angle of 30° from the ground. A. 15.8 m/s B. 24.2 m/s C. 21.2 m/s D. 28.3 m/s E. 14.1 m/s Wall mm h = 100 m NOT COPY

Principles of Physics: A Calculus-Based Text
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 15P: A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure...
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13. A spring with spring constant k = 500 N/m is compressed 50 cm from equilibrium by a block of
mass m = 1 kg along a frictionless, horizontal plane. Once the spring and block are released, the
box quickly slides down a slope. After sliding for 20.0m (measured along the hill), the block
reaches a rough patch with μs = 0.300 and μk = 0.200 that is 20.0 m long (measured along
the hill). What is the speed of the block immediately after the rough patch? The hill is 100m tall
(measured vertically) and the slope has an angle of 30° from the ground.
A. 15.8 m/s
B. 24.2 m/s
C. 21.2 m/s
D. 28.3 m/s
E. 14.1 m/s
Wall
mm
h = 100 m
NOT COPY
Transcribed Image Text:13. A spring with spring constant k = 500 N/m is compressed 50 cm from equilibrium by a block of mass m = 1 kg along a frictionless, horizontal plane. Once the spring and block are released, the box quickly slides down a slope. After sliding for 20.0m (measured along the hill), the block reaches a rough patch with μs = 0.300 and μk = 0.200 that is 20.0 m long (measured along the hill). What is the speed of the block immediately after the rough patch? The hill is 100m tall (measured vertically) and the slope has an angle of 30° from the ground. A. 15.8 m/s B. 24.2 m/s C. 21.2 m/s D. 28.3 m/s E. 14.1 m/s Wall mm h = 100 m NOT COPY
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