Final answer:
To find the object's velocity, use the centripetal force formula F = mv^2/r, with given values mass = 1 kg, force = 4 N, and radius = 4 m. After rearranging and calculating, the velocity is found to be 4 m/s.
Step-by-step explanation:
To calculate the velocity of an object under the influence of centrifugal force, we can use the formula for centripetal force (which in a rotating system is equal in magnitude but opposite in direction to the centrifugal force):
Centripetal force (F) = mass (m) × velocity squared (v^2) / radius (r)
We are given:
Mass (m) = 1 kg
Centrifugal force (F) = 4 N (which we will use as the centripetal force in calculation)
Radius (r) = 4 m
We rearrange the formula to solve for velocity (v):
v^2 = F × r / m
v^2 = 4 N × 4 m / 1 kg
v^2 = 16 m^2/s^2
Thus, v = √(16 m^2/s^2)
v = 4 m/s
The object's velocity is 4 m/s.