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xxTIMURxx [149]
3 years ago
14

As a 15000 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a sp

ring with spring constant 60000 N/m.If the spring stretches 30 m to stop the plane, what was the plane's landing speed?
Physics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

60 m/s

Explanation:

From the law of conservation of energy,

The kinetic energy of the plane = Energy of store in the spring when the plane lands.

1/2mv²  = 1/2ke²

making v the subject of the equation.

v = √(ke²/m).................... Equation 1

Where  v = the plane landing speed, k = spring constant, e = extension. m = mass of the plane.

Given: m = 15000 kg, k = 60000 N/m, e = 30 m.

Substitute into equation 1

v = √(60000×30²/15000)

v = √(4×900)

v = √(3600)

v = 60 m/s.

Hence the plane's landing speed = 60 m/s

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3 years ago
In a 5000 m race, the athletes run 12 1/2 laps; each lap is 400 m.Kara runs the race at a constant pace and finishes in 17.9 min
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Answer:

No. of laps of Hannah are 7 (approx).

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According to the question:

The total distance to be covered, D = 5000 m

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Time taken by Hannah, t_{H} = 15.3 min = 15.3\times 60 = 918 s

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v_{H} = \frac{D}{t_{H}} = \frac{5000}{918} = 5.45 m/s

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No. of laps taken by Hannah when she passes Kara:

n_{H} = \frac{d_{H}}{x}

n_{H} = \frac{2725}{400} = 6.8 ≈ 7 laps

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