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Artist 52 [7]
2 years ago
14

the brightest , hottest, and most massive stars are the brilliant blue stars designated as spectral class O. if a class O star w

ith a mass of 3.26x10^31 kg has a kinetic energy of 1.10x10^42 j, what is its speed?
Physics
1 answer:
4vir4ik [10]2 years ago
6 0

The speed is 0.956 m / s.

<u>Explanation</u>:

The kinetic energy is equal to the product of half of an object's mass, and the square of the velocity.

                   K.E = 1/2 \times m \times v^{2}

where K.E represents the kinetic energy,

           m represents the mass,

            v represents the velocity.

                  K.E = 1/2 \times m \times v^{2}

    1.10 \times 10^42 = 1/2 \times 3.26 \times 10^31 \times v^{2}

                     v^{2} = (1.10 \times 10^42 \times 2) / (3.26 \times 10^31)

                     v = 0.956 m / s.

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Explanation:

(a)

First we find the acceleration of the centrifuge using,

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Where v = final velocity, u = initial velocity, t = time.

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Substitute into equation 1

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Secondly we calculate for the angular acceleration using

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α = 1.5/0.08

α = 18.75 rad/s²

(b)

Using,

Ф = (ω'+ω).t/2........................... Equation 3

Where Ф = number of revolution of the centrifuge, ω' = initial angular velocity, ω = Final angular velocity.

But,

ω = v/r and ω' = u/r

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Ф = (u/r+v/r).t/2

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Ф = [(0/0.08)+(150/0.08)].100/2

Ф = 93750 rad

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Ф = (93750×0.159155) rev

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33.33 %

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