Eratosthenes determined the circumference of earth by conducting an experiment. put his steps in order as they correlate to the scientific method. 1. state the problem: 2. make a hypothesis: 3. make observations: a) if the sun casts shadows at different angles at the same time of day in different places, we can determine how much earth curves. b) in syene, the sun's rays are vertical at noon. at the same time in alexandria, the rays are 7.2 degrees from the vertical. c) how can we prove earth is round and calculate its circumference?

Solution: The correct order is: C, A, B

The statement of the problem:

How can we prove Earth is round and calculate its circumference?

Hypotheis:

If the sun casts shadows at different angles at the same time of day in different places, we can determine how much Earth curves.

If the Earth was flat, the angle measured at different places at the same time of the day would be same.

Observation:

In Syene, the sun's rays are vertical at noon. At the same time in Alexandria, the rays are 7.2 degrees from the vertical.

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s