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Sagot :
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
- Substitute in variables [Kinetic Energy Formula]: [tex]\displaystyle 109 \ \text{J} = \frac{1}{2}(0.145 \ \text{kg})v^2[/tex]
- Simplify: [tex]\displaystyle 109 \ \text{J} = (0.0725 \ \text{kg})v^2[/tex]
- Isolate variable term: [tex]\displaystyle 1503.45 \ \text{J/kg} = v^2[/tex]
- Isolate v: [tex]\displaystyle v = 38.7743 \ \text{m/s}[/tex]
Topic: AP Physics 1/C
Unit: Energy
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