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Mice21 [21]
3 years ago
10

A 60-kg cheetah reaches a speed of 30 m/s as it chases its prey.What is the kinetic energy of the cheetah?

Physics
2 answers:
GuDViN [60]3 years ago
7 0
Kinetic energy = 1/2mv^2
                          = (1/2)(60)(30^ 2)
                   KE = 27,000 Joules

*just a reminder when you are solving for kinetic energy you have to make sure that the mass is given in kg and the velocity is given in m/sec. 

hope this helps :)


Rama09 [41]3 years ago
4 0
The answer would be 27,000 Joules because (1/2) m v^2 =30*900 which equals 27,000 J
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An object in the shape of a thin ring has radius a and mass M. A uniform sphere with mass m and radius R is placed with its cent
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Answer:

F = GMmx/[√(a² + x²)]³

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Since the ring is symmetrical, the vertical components of this force cancel out leaving the horizontal components to add.

So, the horizontal components add from two symmetrically opposite mass elements dM,

Thus, the horizontal component of the force is

dF' = dFcosФ where Ф is the angle between L and the x axis

dF' = GmdMcosФ/L²

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L = √(a² + x²)

cosФ = x/L

dF' = GmdMcosФ/L²

dF' = GmdMx/L³

dF' = GmdMx/[√(a² + x²)]³

Integrating both sides we have

∫dF' = ∫GmdMx/[√(a² + x²)]³

∫dF' = Gm∫dMx/[√(a² + x²)]³    ∫dM = M

F = GmMx/[√(a² + x²)]³  

F = GMmx/[√(a² + x²)]³

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The magnitude of the magnetic field inside the solenoid is 6.46 \times 10^{-3} \ T.

The given parameters;

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The magnitude of the magnetic field inside the solenoid is calculated as;

B = \mu_0 nI\\\\B = \mu_o(\frac{ N}{L} )I\\\\

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\mu_o is the permeability of frees space = 4π x 10⁻⁷ T.m/A

B = (4\pi \times 10^{-7}) \times (\frac{1300}{0.91} ) \times 3.6\\\\B = 6.46 \times 10^{-3} \ T

Thus, the magnitude of the magnetic field inside the solenoid is 6.46 \times 10^{-3} \ T.

Learn more here:brainly.com/question/17137684

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