Answer :

Answer:

115.3395 j

Explanation:

K= 1/2mv²= (7.1/2)*5.7² = 115.3395 j

Space

Answer:

115.34 J

General Formulas and Concepts:

Energy

Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]

  • m is mass (in kg)
  • v is velocity (in m/s)

Explanation:

Step 1: Define

Identify variables

[Given] m = 7.1 kg

[Given] v = 5.7 m/s

[Solve] KE

Step 2: Solve for KE

  1. Substitute in variables [Kinetic Energy Formula]:                                       [tex]\displaystyle KE = \frac{1}{2}(7.1 \ kg)(5.7 \ m/s)^2[/tex]
  2. Evaluate exponents:                                                                                     [tex]\displaystyle KE = \frac{1}{2}(7.1 \ kg)(32.49 \ m^2/s^2)[/tex]
  3. Multiply:                                                                                                         [tex]\displaystyle KE = (3.55 \ kg)(32.49 \ m^2/s^2)[/tex]
  4. Multiply:                                                                                                         [tex]\displaystyle KE = 115.34 \ J[/tex]

Topic: AP Physics 1 - Algebra Based

Unit: Energy

Book: College Physics

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