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3 years ago

Calculate the speed of an 8.010^4kg airliner with a kinetic energy of 1.110^9J.

Physics

1 answer:

Burka [1]3 years ago

8 0

Answer:

The velocity will be v = 165.83[m/s]

Explanation:

This is a problem where the definition of kinetic energy can be applied, which can be determined with the following equation.

$E_{k}=\frac{1}{2}*m*v^{2}\\ where:\\m = mass = 80000[kg]\\v = velocity [m/s]\\E_{k}= kinetic energy [J]=1100000000[J]\\Replacing:\\v=\sqrt{\frac{2*E_{k} }{m} } \\v=\sqrt{\frac{2*1100000000 }{80000} }\\v=165.83[m/s]$

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umka2103 [35]

Answer:

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Explanation:

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Part 1

Sum the forces in the perpendicular direction:

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N = mg cos θ

The block is at rest, so F = N μs:

F = N μs

F = mg μs cos θ

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F = 70 N

Part 2

Sum the forces in the parallel direction (down the incline is positive):

∑F = ma

mg sin θ − F = 0

mg sin θ = N μs

mg sin θ = mg μs cos θ

tan θ = μs

θ = atan μs

θ = atan 0.38

θ = 21°

Part 3

Sum the forces in the parallel direction (this time, acceleration is not 0).

∑F = ma

mg sin θ − F = ma

mg sin θ − N μk = ma

mg sin θ − mg μk cos θ = ma

a = g (sin θ − μk cos θ)

a = (9.8 m/s²) (sin 24° − 0.32 cos 24°)

a = 1.1 m/s²

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Calculate the speed of an 8.0*10^4kg airliner with a kinetic energy of 1.1*10^9J.

Calculate the speed of an 8.010^4kg airliner with a kinetic energy of 1.110^9J.