Math Problem Statement
Problem 3
Space Shuttle Max is one of the extreme rides in Enchanted Kingdom. The first of its kind in the country, this roller coaster ride inverts its riders six times. If during one of its operations, a 53-kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location?
Solution
To solve this problem, we need to find the acceleration experienced by the boy at the bottom of the roller coaster loop.
Given:
- Mass of the boy,
- Net force experienced by the boy,
Formula:
The net force experienced by the boy is related to his mass and acceleration by Newton's second law: where:
- is the net force,
- is the mass,
- is the acceleration.
Solving for acceleration :
Substituting the values:
Now, let's calculate the acceleration.
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Math Problem Analysis
Mathematical Concepts
Newton's Second Law of Motion
Formulas
F = m * a
Theorems
-
Suitable Grade Level
High School
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