Math Problem Statement

A 4768-kg roller coaster train full of riders approaches the loading dock at a speed of 17.1 m/s. It is abruptly decelerated to a speed of 2.20 m/s over a distance of 13.6 m. Determine the magnitude of the retarding force which acts upon the roller coaster cars.

Solution

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Math Problem Analysis

Mathematical Concepts

Physics
Work-Energy Principle
Kinetic Energy
Forces

Formulas

Kinetic energy: KE = 1/2 m v^2
Work done by force: W = F * d
Change in kinetic energy: ΔKE = KE_f - KE_i

Theorems

Work-Energy Theorem

Suitable Grade Level

Grades 11-12