Answered

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what is the velocity of a 0.145kg baseball if its kinetic energy is 109 j

Sagot :

Space

Answer:

The velocity of the 0.145 kg baseball is 38.7743 m/s.

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)
  • KE is kinetic energy (in J)

Explanation:

Step 1: Define

Identify.

m = 0.145 kg

KE = 109 J

Step 2: Solve for v

  1. Substitute in variables [Kinetic Energy Formula]:                                      [tex]\displaystyle 109 \ \text{J} = \frac{1}{2}(0.145 \ \text{kg})v^2[/tex]
  2. Simplify:                                                                                                        [tex]\displaystyle 109 \ \text{J} = (0.0725 \ \text{kg})v^2[/tex]
  3. Isolate variable term:                                                                                   [tex]\displaystyle 1503.45 \ \text{J/kg} = v^2[/tex]
  4. Isolate v:                                                                                                       [tex]\displaystyle v = 38.7743 \ \text{m/s}[/tex]

Topic: AP Physics 1/C

Unit: Energy

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