A space probe is 7.62 x 10 to the 7th power kilometers from the surface of the planet Mars. If the space probe is traveling towards mars at a arate of 127 meters per second, how many hours will it take the probe to reach the surface of the plant? Round to the nearest hour.
Help!? I don't understand what to do to understand how many hours!
127 m/s / 1000 = 0.127 km/s.
d = r*t = 7.62*10^7 km,
0.127t = 7.62*10^7,
t = 7.62*10^7 / 0.127 = 60*10^7 s.
t = 60*10^7 5. / 3600 s/h = 167000 h.
Thank you so much! I didn't understand it at all!
To find the number of hours it will take for the space probe to reach the surface of Mars, we can follow these steps:
1. Convert the distance from kilometers to meters:
- 7.62 x 10^7 kilometers = 7.62 x 10^7 x 1000 = 7.62 x 10^10 meters
2. Divide the distance by the probe's rate of travel in meters per second to find the time in seconds:
- Time = Distance / Rate
- Time = (7.62 x 10^10 meters) / (127 meters/second) = 6 x 10^8 seconds
3. Convert the time from seconds to hours:
- There are 60 seconds in a minute, 60 minutes in an hour, so 60 x 60 = 3600 seconds in an hour.
- To convert seconds to hours, divide the time in seconds by 3600:
- Time in hours = (6 x 10^8 seconds) / 3600 seconds/hour = 1.67 x 10^5 hours
4. Round the time to the nearest hour:
- Since we are asked to round to the nearest hour, we round 1.67 x 10^5 hours to the nearest whole number, which is 167,000 hours.
Therefore, it will take approximately 167,000 hours for the space probe to reach the surface of Mars.