(b) Find the mechanical energy lost due to friction if Vf = 16.0 m/s < 20.7 m/s. Write Equation 5.12, substituting expressions for the kinetic and potential energies. Wnc = (KEf - KE;) + (PEf - PE¡) 1 5muj - 5mv; +mgyf – mgy; Substitute m = 58.3 kg, vf = 16.0 m/s, and v; = 0, and solve for Wnc: 1 G: 58.3 kg (16.0m/s)² + 0] Wnc [0 – 58.3 kg · (9.80m/s²) · 21.9 m] + = |-6256 Wnc X J Your response differs from the correct answer by more than 10%. Double check your calculations.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Problem (b):** Find the mechanical energy lost due to friction if \( v_f = 16.0 \, \text{m/s} < 20.7 \, \text{m/s} \).

Write Equation 5.12, substituting expressions for the kinetic and potential energies.

\[ W_{nc} = (KE_f - KE_i) + (PE_f - PE_i) \]

\[ = \frac{1}{2} mv_f^2 - \frac{1}{2} mv_i^2 + mgy_f - mgy_i \]

Substitute \( m = 58.3 \, \text{kg}, \, v_f = 16.0 \, \text{m/s}, \, \text{and} \, v_i = 0 \), and solve for \( W_{nc} \).

\[ W_{nc} = \left[\frac{1}{2} \times 58.3 \, \text{kg} \times (16.0 \, \text{m/s})^2 + 0\right] \]

\[ + \left[0 - 58.3 \, \text{kg} \times (9.80 \, \text{m/s}^2) \times 21.9 \, \text{m} \right] \]

\[ W_{nc} = \boxed{-6256} \, \text{J} \]

**Note:** Your response differs from the correct answer by more than 10%. Double check your calculations.
Transcribed Image Text:**Problem (b):** Find the mechanical energy lost due to friction if \( v_f = 16.0 \, \text{m/s} < 20.7 \, \text{m/s} \). Write Equation 5.12, substituting expressions for the kinetic and potential energies. \[ W_{nc} = (KE_f - KE_i) + (PE_f - PE_i) \] \[ = \frac{1}{2} mv_f^2 - \frac{1}{2} mv_i^2 + mgy_f - mgy_i \] Substitute \( m = 58.3 \, \text{kg}, \, v_f = 16.0 \, \text{m/s}, \, \text{and} \, v_i = 0 \), and solve for \( W_{nc} \). \[ W_{nc} = \left[\frac{1}{2} \times 58.3 \, \text{kg} \times (16.0 \, \text{m/s})^2 + 0\right] \] \[ + \left[0 - 58.3 \, \text{kg} \times (9.80 \, \text{m/s}^2) \times 21.9 \, \text{m} \right] \] \[ W_{nc} = \boxed{-6256} \, \text{J} \] **Note:** Your response differs from the correct answer by more than 10%. Double check your calculations.
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