a.
To state: The equation that models the potential energy of a 2-kg skateboard that is sliding down a ramp. On Earth with a gravitational acceleration g , the potential energy stored in an object varies directly with its mass m and its vertical height h .
The resultant equation is
Given information:
It is given that on Earth with a gravitational acceleration g , the potential energy stored in an object varies directly with its mass m and its vertical height h .
Explanation:
Let’s assume the Earth’s gravitational acceleration is g , the potential energy of object is p , mass is m and its vertical height h .
It is given that potential energy stored in an object varies directly with its mass m and its vertical height h . Then
Now substitute 2 for m in the equation
Therefore, the equation that models the potential energy of a 2-kg is
b.
To state: The height of the ramp if skateboard has a potential energy of
The resultant height is 2.
Given information:
From part (a), the equation that models the potential energy is
Explanation:
Consider the equation
The given values of g and p are
Therefore, the height of the ramp is 2.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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