The centripetal acceleration experienced by an object moving in a circle is given by the formula:
a = v²/r
where a is the centripetal acceleration, v is the speed of the object, and r is the radius of the circle.
In this problem, we are given that the object has a mass of 20 g, which we need to convert to kilograms:
m = 20 g = 0.02 kg
We are also given that the object is moving in a horizontal circle of radius 250 cm at a speed of 50 cm/s. We need to convert these measurements to SI units (meters and seconds) to use the formula for centripetal acceleration:
r = 250 cm = 2.5 m
v = 50 cm/s = 0.5 m/s
Now we can calculate the centripetal acceleration:
a = v²/r = (0.5 m/s)² / 2.5 m = 0.1 m/s²
Therefore, the centripetal acceleration experienced by the object is 0.1 m/s².