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velikii [3]
3 years ago
7

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at 10 m/s?

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

At v=10\ ms^{-1} energy of the ball will be = 500\ Joules

Step-by-step explanation:

Given:

Mass of ball =10 kg

The table for velocity vs Energy is given.

Velocity(ms^{-1})=0,2,3,6,10

Energy(Joules)=0,20,45,180,E  

Energy is in terms of velocity is given by:

E=\frac{1}{2}mv^2

where m represents mass and v represents velocity.

∴ at velocity = 10\ ms^{-1}

Energy = E=\frac{1}{2}(10)(10)^2

E=5\times100

∴ E =500\ Joules

∴ At v=10\ ms^{-1} energy of the ball will be = 500\ Joules

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The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

<h3>Laws of cosines </h3>

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b^2 + c^2 - a^2)/2bc

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Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

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Also

cos B = (s^2 + s^2 - s^2)/(2s×s)

cos B = (s^2 )/(2s^2)

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and

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cos C = (s^2 )/(2s^2)

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Learn more on The law of cosines here: brainly.com/question/2866347

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