What is the kinetic energy of a 13 kg dog that is running at a speed of \( 8.5 \mathrm{~m} / \mathrm{s} \) ?

To find the kinetic energy (\( KE \)) of the dog, you can use the formula: \[ KE = \frac{1}{2} m v^2 \] where \( m \) is the mass and \( v \) is the velocity. Plugging in the values: \[ KE = \frac{1}{2} \times 13 \, \text{kg} \times (8.5 \, \text{m/s})^2 = \frac{1}{2} \times 13 \times 72.25 = 469.625 \, \text{J} \] So, the kinetic energy of the dog is approximately \( 469.63 \, \text{J} \). Imagine if dogs could brag about their speed and strength! A 13 kg dog running at 8.5 m/s could easily impress onlookers at the park – that’s like a small furry athlete showing off its sprinting prowess. And let’s face it, that kinetic energy is more than enough to fuel a good game of fetch or a playful chase after squirrels! Did you know that the concept of kinetic energy dates back to the late 17th century? Scientists like Gottfried Wilhelm Leibniz were among the first to describe the relationship between motion and energy. This laid the groundwork for future discoveries in physics, leading to the amazing understanding we have today about how objects like our furry friends gain energy while dashing around!