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
