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, m=53kgm = 53 \, \text{kg}
  • Net force experienced by the boy, Fnet=1800NF_{\text{net}} = 1800 \, \text{N}

Formula:

The net force experienced by the boy is related to his mass and acceleration by Newton's second law: Fnet=maF_{\text{net}} = m \cdot a where:

  • FnetF_{\text{net}} is the net force,
  • mm is the mass,
  • aa is the acceleration.

Solving for acceleration aa:

a=Fnetma = \frac{F_{\text{net}}}{m}

Substituting the values:

a=1800N53kga = \frac{1800 \, \text{N}}{53 \, \text{kg}}

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

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Suitable Grade Level

High School