Answer:
You increase your kinetic energy by a factor of 4.
Step-by-step explanation:
The kinetic energy of an object is given by the formula:
K = 0.5 x m x v^2
where K is the kinetic energy, m is the mass of the object, and v is the velocity.
Assuming that your mass remains constant, we can simplify the equation to:
K = 0.5 x v^2
When you increase your speed from 5 km/h to 10 km/h, your velocity doubles.
So, the factor by which your kinetic energy increases is:
(0.5 x (10 km/h)^2) / (0.5 x (5 km/h)^2)
= (0.5 x 100 km^2/h^2) / (0.5 x 25 km^2/h^2)
= 4
Therefore, you increase your kinetic energy by a factor of 4 when you increase your speed from 5 km/h to 10 km/h.