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If an object is traveling at a speed of 400 m/s, how long (in hours) will it take to reach 950.5 km? <

If an object is traveling at a speed of 400 m/s, how long (in hours) will it take to reach 950.5 km? <

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Physics Problem: Calculating Travel Time** **Problem Statement:** If an object is traveling at a speed of 400 m/s, how long (in hours) will it take to reach 950.5 km? **Concept:** To solve this problem, we need to use the relationship between speed, distance, and time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Given: - Speed (\( v \)) = 400 meters per second (m/s) - Distance (\( d \)) = 950.5 kilometers (km) **Steps to Convert Units:** 1. Convert the distance from kilometers to meters: - 1 kilometer (km) = 1000 meters (m) - Therefore, \( 950.5 \,\text{km} = 950,500 \,\text{m} \) 2. Use the formula to find the time in seconds: \[ \text{Time} (s) = \frac{950,500 \, \text{m}}{400 \, \text{m/s}} \] \[ \text{Time} (s) = 2376.25 \, \text{seconds} \] 3. Convert the time from seconds to hours: - 1 hour = 3600 seconds - Therefore, \( \text{Time} (hours) = \frac{2376.25 \, \text{s}}{3600 \, \text{s/hour}} \) \[ \text{Time} \approx 0.66 \, \text{hours} \] **Conclusion:** It will take approximately 0.66 hours for the object to travel 950.5 km at a speed of 400 m/s.
Transcribed Image Text:**Physics Problem: Calculating Travel Time** **Problem Statement:** If an object is traveling at a speed of 400 m/s, how long (in hours) will it take to reach 950.5 km? **Concept:** To solve this problem, we need to use the relationship between speed, distance, and time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Given: - Speed (\( v \)) = 400 meters per second (m/s) - Distance (\( d \)) = 950.5 kilometers (km) **Steps to Convert Units:** 1. Convert the distance from kilometers to meters: - 1 kilometer (km) = 1000 meters (m) - Therefore, \( 950.5 \,\text{km} = 950,500 \,\text{m} \) 2. Use the formula to find the time in seconds: \[ \text{Time} (s) = \frac{950,500 \, \text{m}}{400 \, \text{m/s}} \] \[ \text{Time} (s) = 2376.25 \, \text{seconds} \] 3. Convert the time from seconds to hours: - 1 hour = 3600 seconds - Therefore, \( \text{Time} (hours) = \frac{2376.25 \, \text{s}}{3600 \, \text{s/hour}} \) \[ \text{Time} \approx 0.66 \, \text{hours} \] **Conclusion:** It will take approximately 0.66 hours for the object to travel 950.5 km at a speed of 400 m/s.
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