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Ira Lisetskai [31]
3 years ago
14

Two rocks of different masses are rolling down a hill at the same speed. Which rock (small one or big one) would have more kinet

ic energy?
Physics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

Answer:

The larger rock would roll down the hill faster

Explanation:

aivan3 [116]3 years ago
3 0

Answer:

Kinetic energy of bigger rock will be more than that of smaller one.

Explanation:

Kinetic energy of the rock is given by,

Kinetic energy = \frac{1}{2} m v^{2}

As velocity of both the rocks are same. Thus, kinetic energy is directly proportional to the mass of the rock

Kinetic energy ∝ mass

So, For greater mass kinetic energy will be greater and for smaller mass kinetic energy will be smaller.

Hence, Kinetic energy of bigger rock will be more than that of smaller one.

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With k the Coulomb constant, q the charge and r the distance of the charge to the test point

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       E2 = k (-2q) / x²  

       E3 = k q / (x + a)²

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The direction of the field is along the x axis

b) To use a binomial expansion we must have an expression the form (1-x)⁻ⁿ  where x << 1, for this we take factor like x from all the equations

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We use binomial expansion

     (1+x)⁻² = 1 -nx + n (n-1) 2! x² +… x << 1

     (1-x)⁻² = 1 +nx + n (n-1) 2! x² + ...

They replace in the total field and leaving only the first terms

       

   Et =kq/x² [-2 +(1 +2 a/x + 2 (2-1)/2 (a/x)² +…) + (1 -2 a/x + 2(2-1) /2 (a/x)² +.) ]

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Et = k q 2a²/x⁴

point charge

Et = k q 1/x²

Dipole

E = k q a/x³

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