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A skateboarder is accelerating down a ramp with 45 J of potential energy (PE) and 60 J of kinetic energy (KE). What is the skateboarder's total mechanical energy (ME)?

Use the equation below to calculate the answer.

[tex]\[ ME = PE + KE \][/tex]

[tex]\[ ME = 45 \, \text{J} + 60 \, \text{J} \][/tex]



Answer :

GinnyAnswer
To determine the skateboarder's total mechanical energy (ME), you need to use the formula:

[tex]\[ ME = PE + KE \][/tex]

where [tex]\(ME\)[/tex] represents the total mechanical energy, [tex]\(PE\)[/tex] stands for potential energy, and [tex]\(KE\)[/tex] represents kinetic energy.

Here's a step-by-step approach to solve the problem:

1. Identify the given values:
- Potential Energy ([tex]\(PE\)[/tex]) = 45 joules (J)
- Kinetic Energy ([tex]\(KE\)[/tex]) = 60 joules (J)

2. Substitute these values into the mechanical energy formula:
[tex]\[ ME = 45\,J + 60\,J \][/tex]

3. Perform the addition:
[tex]\[ ME = 45\,J + 60\,J = 105\,J \][/tex]

Therefore, the total mechanical energy of the skateboarder is [tex]\(105\)[/tex] joules (J).

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