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1. As a 15,300 kg jet plane lands on an aircraft carrier, its tail hook snags a

ID: 1786436 • Letter: 1

Question

1. As a 15,300 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 50,500 N/m. If the spring stretches 33 m to stop the plane, what was the plane's landing speed? m/s

2. A roller coaster car is pulled up the first (biggest) hill, 103 meters above the subsequent bottom of the hill. Assuming there's no friction, how fast will the car be moving when it reaches the bottom?

How fast is it moving at the top of a following loop-the-loop, which is 69 meters high?

Explanation / Answer

here,

1)

mass , m = 15300 kg

spring constant , K = 50500 N/m

x = 33 m

let the plane's landing speed be v

using conservation of energy

0.5 * k * x^2 = 0.5 * m * v^2

50500 * 33^2 = 15300 * v^2

v = 60 m/s

the plane's landing speed is 60 m/s