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
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