please do all sections and show all works step by step A block of mass m starts from rest and slides down a rough ramp inclined at an angle θ to the horizontal. There is a spring at the bottom of the ramp of spring constant k. The block slides a total distance L along the ramp when it momentarily comes to a rest, compressing the spring a maximum amount d. The coefficient of kinetic friction between the block and the ramp is μk. a) Between the initial position at the top of the ramp to the final position at rest against the spring, which individual force(s) do: i) positive work, ii) negative work, and iii) zero work on the block? b) Write an expression for the maximum amount the spring is compressed, d, in terms ofμk, L, m,g, k and θ.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter27: Capacitors And Batteries
Section27.1: The Leyden Jar
Problem 27.1CE: CASE STUDY How Big a Spring? Imagine the ring in the case study is launched using a spring-loaded...
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please do all sections and show all works step by step

A block of mass m starts from rest and slides down a rough ramp inclined at an angle θ to the horizontal. There is a spring at the bottom of the ramp of spring constant k. The block slides a total distance L along the ramp when it momentarily comes to a rest, compressing the spring a maximum amount d. The coefficient of kinetic friction between the block and the ramp is μk.

a) Between the initial position at the top of the ramp to the final position at rest against the spring, which individual force(s) do: i) positive work, ii) negative work, and iii) zero work on the block?

b) Write an expression for the maximum amount the spring is compressed, d, in terms ofμk, L, m,g, k and θ.

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