Math Problem Statement
A skier is gliding along at 3.2 m/s on horizontal, frictionless snow. He suddenly starts down a 10∘ incline. His speed at the bottom is 20 m/s . What is the length of the incline?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Energy Conservation
Kinematics
Trigonometry
Formulas
Kinetic Energy: KE = (1/2)mv^2
Conservation of Energy: KE_f - KE_i = mgh
Height of incline: h = L sin(θ)
Length of incline: L = (v_f^2 - v_i^2) / (2g sin(θ))
Theorems
Conservation of Mechanical Energy
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculate Distance Traveled by Electric Car on Inclined Plane
Ski Jumper Projectile Motion: Airborne Time and Impact Angle
Speed of an Object Sliding Down a Slope with Friction: Energy Conservation
Calculate Speed of Sportsperson Rolling Down Incline - Physics Problem
Calculate Horizontal Distance and Vertical Height: Kinematics Problem Solution