2. You started hiking the Appalachian Trail at Springer Mountain in Georgia. You finally reach Maine, the last state on the Appalachian Trail. Wanting to know how much fur- ther you have to hike, you pull out a 1:500,000 scale map of the state. You measure 35.6 inches from the Maine border (where you are standing) to Baxter Peak at the top of Mount Katahdin (the end of the trail). How many miles do you have to go? Hint: How many inches are there in a mile?

280.934 miles

Explanation:

Given

Scale = 1:500,000

Required

Determine the equivalent of 35.6 inches using the scale map in miles

First, we need to determine the actual distance in inches

Since the scale is 1:500000;

The actual distance is as follows;

Actual Distance = 35.6 * 500,000 inches

Actual Distance = 17,800,000  inches

Next, we calculate the equivalent in miles

1 inch = 1.57828e-5 mile

Multiply both sides by 17,800,000  

1 inch * 17,800,000   = 17,800,000  * 1.57828e-5 mile

17,800,000  inches = 280.93434343 miles

17,800,000  inches = 280.934 miles (Approximated)

ek = (m·v2) / 2

v - velocity of system after the collision

m = m1 + m2

ek = (m1 + m2) ·v2/2

ek = (200 + 250) ·2,32/2 = 450·5,29/2 = 1190,25 j