Physics help 1) Due to continental drift, the North American and European contin

Question

Physics help

1) Due to continental drift, the North American and European continents are drifting apart at an average speed of about 3 cm per year. At this speed, how long (in years) will it take for them to drift apart by another 851.0 m?

2) One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple’s displacement? (c) What is the direction (relative to due east) of the couple’s displacement?

3) The three-toed sloth is the slowest moving land mammal. Assume that on the ground the sloth moves at an average speed of 0.0229 m/s, considerably slower than the giant tortoise, which walks at 0.0337 m/s. After 9.4 minutes of walking, how much further would the tortoise have gone relative to the sloth?

Explanation / Answer

1)

Distance = speed * time

time = distance / speed = 851 m / 0.03 m/year = 28366.67 years

2) Circumference = pi * diameter
C = 2r pi

C = 2(2.56) pi
C = 16.085km

16.085 * (3/4) =12.06 km = distance traveled

Displacement^2 = 2.56^2 + 2.56^2
s = 3.62 km

Their displacement is 3.62 km at 90 degrees north of west (the y-axis).

3)

in 9.4 min, tortoise walk = 9.4*60 *0.0337 m = 19.01 m

in 9.4 min, sloth walk = 9.4*60*0.0229 = 12.95 m

so, w r t the sloth, tortoise hve gone 19.01-12.95 = 6.06 mts further

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