Q1 radar pulse is sent from the Earth to an asteroid, bounces off and returns to Earth. The radar pulse travels at the speed of light (300,000 km/sec) and takes 150 seconds to travel out and return. How far away is the asteroid?
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Answer:
Solving Simple Problems in ASTRO 100
In the following we will show how to solve simple problems in astronomy. One of the most common type of problem in astronomy (and everyday life, for that matter) is the distance - velocity - time problem. 1. For example, suppose you are driving cross-country at an average speed of 60mph. If you drive for 12 hours how far will you get?
A).. 5 miles
B)..720 miles
C).. 72 miles
D)..7200 miles
E)..500 miles
2. How did you solve that problem?
A)... Multiplied the distance times the time.
B)... Multiplied the speed by the time.
C)...Divided the speed by the time.
D)...Divided the time by the speed.
E)...Added the speed to the time.
Notice that you used the basic relation that Distance = speed x time, or mathematically, D=Vt, where D is the distance you traveled, V is your average speed (more technically the velocity), and t is the time you traveled.
Now let's do a variation on that problem.
3. Suppose you are driving from Boston to New York. If you travel at an average speed of 50 mph and the distance is 250 miles, how long will the trip take?
A)... 300 minutes.
B)... 200 minutes.
C)... 5 hours.
D)... 5 minutes.
E)... 50 hours.
Notice that you again used the basic relation D=Vt, but now in the form time = distance/speed, or mathematically, t=D/V.
Let's now do an astronomical version of this problem.
P 4. The space shuttle travels around the Earth in a circular orbit whose circumference is about 25,000 miles. The shuttle's orbital speed is about 17,000 miles/hr. About how long does it take the shuttle to complete one orbit around the Earth? (Notice this is exactly like the driving problem above.)
A)... 1 hour
B)... 1.5 minutes
C)... 0.6 hours
D)... 1.5 hours
E)... 15 hours
Notice that in this problem none of the answers you chose from were the answer you found mathematically. Rather, you were asked to choose from rounded off answers. Such rounding off is very important in writing out answers. Generally 3 digits is accurate enough for our purposes.
Step-by-step explanation:
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