Answer:
The dog's mass is 15.3kg.
Explanation:
Given that the formula for kinetic energy is k.e = 1/2×m×v² where m represents mass and v is the velocity. Then, you have to substitute the following values into the formula :
[tex]k.e = \frac{1}{2} \times m \times {v}^{2} [/tex]
Let k.e = 6000,
Let v = 28,
[tex]6000 = \frac{1}{2} \times m \times {28}^{2} [/tex]
[tex]6000 \div 784 = \frac{1}{2} \times m[/tex]
[tex] \frac{1}{2} \times m = \frac{375}{49} [/tex]
[tex]m = \frac{375}{49} \div \frac{1}{2} [/tex]
[tex]m = \frac{375}{49} \times 2[/tex]
[tex] m = \frac{750}{49} [/tex]
[tex]m = 15.3kg \: (3s.f)[/tex]
