Final answer:
The radius of the path is approximately 2.74 meters, and the centripetal force acting on the block is approximately 73.36 Newtons.
Step-by-step explanation:
To find the radius of the path, we can use the formula:
radius = speed² / (gravity * tan(angle))
Plugging in the values, we get:
radius = 10² / (10 * tan(20°))
Simplifying, we get:
radius = 100 / (10 * 0.364)
radius ≈ 2.74 m
To find the centripetal force, we can use the formula:
force = mass * (speed² / radius)
Plugging in the values, we get:
force = 2 * (10² / 2.74)
Simplifying, we get:
force ≈ 73.36 N