Final answer:
To calculate the escape velocity of the dwarf planet, we need to calculate its radius first using the formula for the volume and then use the escape velocity formula.
Step-by-step explanation:
The escape velocity of a celestial object can be calculated using the formula:
v = sqrt(2 * g * r)
where v is the escape velocity, g is the acceleration due to gravity, and r is the radius of the planet.
Given that the dwarf planet has a mass of 0.0026 times that of the Earth and a diameter on average 0.2 times that of the Earth, we need to calculate its radius first using the formula for the volume:
V = (4/3) * π * r^3
Let's assume the radius of the Earth is R. The radius of the dwarf planet, r, can be calculated as:
r = (0.2 * R) / 2
The mass of the dwarf planet is given as 0.0026 times that of the Earth, so we can write:
M = (0.0026 * M_Earth)
Finally, we can substitute the values into the escape velocity formula to find the escape velocity of the dwarf planet.