QuestionJuly 16, 2025

Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. Part A If a boat and its riders have e a mass of 1100 kg and the boat drifts in at 1.8m/s how much work does Sam do to stop it? Express your answer in joules. W=square J

Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. Part A If a boat and its riders have e a mass of 1100 kg and the boat drifts in at 1.8m/s how much work does Sam do to stop it? Express your answer in joules. W=square J
Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. Part A If a boat and its riders have e a mass of 1100 kg and the boat drifts in at 1.8m/s how much work does Sam do to stop it? Express your answer in joules. W=square J

Solution
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Answer

1782 \, \text{J} Explanation 1. Identify the formula for work Work done to stop an object is equal to its initial kinetic energy. **W = \frac{1}{2}mv^2**. 2. Calculate the initial kinetic energy Substitute m = 1100 \, \text{kg} and v = 1.8 \, \text{m/s} into the formula: W = \frac{1}{2} \times 1100 \, \text{kg} \times (1.8 \, \text{m/s})^2. 3. Perform the calculation W = \frac{1}{2} \times 1100 \times 3.24 = 1782 \, \text{J}.

Explanation

1. Identify the formula for work<br /> Work done to stop an object is equal to its initial kinetic energy. **$W = \frac{1}{2}mv^2$**.<br />2. Calculate the initial kinetic energy<br /> Substitute $m = 1100 \, \text{kg}$ and $v = 1.8 \, \text{m/s}$ into the formula: <br /> $W = \frac{1}{2} \times 1100 \, \text{kg} \times (1.8 \, \text{m/s})^2$.<br />3. Perform the calculation<br /> $W = \frac{1}{2} \times 1100 \times 3.24 = 1782 \, \text{J}$.
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