To annoy his son-in-law Roger, Mason takes a block with a mass of 2.00kg and places it on a smooth horizontal surface compressing a spring 0.285m from its equilibrium position. The block is released from rest and slides across the horizontal surface and travels 2.50m up an incline with a coefficient of kinetic friction of 0.300 that makes an angle of 40.0° with respect to the horizontal. If the block has a velocity of 1.25m/s when it has traveled the 2.50m up the incline to press a button on a Mr. William’s box. What would the stiffness of the spring need to be in Newtons per meter?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 3P: A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table...
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To annoy his son-in-law Roger, Mason takes a block with a mass of 2.00kg and places it on a smooth horizontal surface compressing a spring 0.285m from its equilibrium position. The block is released from rest and slides across the horizontal surface and travels 2.50m up an incline with a coefficient of kinetic friction of 0.300 that makes an angle of 40.0° with respect to the horizontal. If the block has a velocity of 1.25m/s when it has traveled the 2.50m up the incline to press a button on a Mr. William’s box. What would the stiffness of the spring need to be in Newtons per meter?
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