Respuesta :

asuwafoh

Answer:

7.59 m/s

Explanation:

Kinetic Energy: This is defined as the energy possessed by a body due to its motion. The S.I unit of kinetic energy is Joules (J).

Mathematically, kinetic energy is represented as,

Ek = 1/2mv²................................ Equation 1

Where Ek = Kinetic Energy, m = mass, v = velocity.

From the question,

Kinetic energy of the rabbit = Kinetic energy of the setter

1/2m₁v₁² = 1/2m₂v₂².......................... equation 2

Where m₁ = mass of the rabbit, v₁ = velocity of the rabbit, m₂ = mass of the setter, v₂ = velocity of the setter.

making v₁ the subject of the equation

v₁ = v₂√(m₂/m₁)............................ Equation 3

Given: m₁ = 5.0 kg, m₂ = 12.0 kg, v₂ = 4.9 m/s.

Substituting into equation 3

v₁ = 4.9√(12/5)

v₁  = 4.9√2.4

v₁ = 4.9×1.549

v₁ = 7.59 m/s

Thus the rabbit is 7.59 m/s fast

abidemiokin

The rabbit is running at the rate of 7.59m/s

The formula for calculating the kinetic energy of a body is expressed as;

[tex]K.E = \frac{1}{2}mv^2[/tex]

If the rabbit and the Irish setter has the same kinetic energy then:

[tex]KE_1 = KE_2\\\frac{1}{2}m_1v_1^2= \frac{1}{2}m_2v_2^2[/tex]

Substitute the masses and the given velocity into the formula to have:

[tex]5v_1^2=12(4.9^2)\\5v_1^2=288.12\\v_1^2=\frac{288.12}{5} \\v_1^2=57.62m/s\\v_1=7.59m/s[/tex]

Hence the rabbit is running at the rate of 7.59m/s

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