Final answer:
The centripetal force can be calculated using the formula Fc = (m * v^2) / r. In this case, the centripetal force is approximately 14.34 N. Therefore, the correct option is c. 14.34 N.
Step-by-step explanation:
The centripetal force is responsible for keeping an object moving in a circular path. It can be calculated using the formula:
Fc = (m * v2) / r
Where:
Fc is the centripetal force
m is the mass of the object
v is the linear velocity
r is the radius of the circle
In this case, the mass of the ball is 2kg, the radius of the circle is 65cm (0.65m) and the ball is revolving 45 times per minute. To find the linear velocity, we need to convert the revolutions per minute to radians per second:
v = (2π * r * n) / t
Where:
v is the linear velocity
π is a mathematical constant (approximately 3.14)
r is the radius of the circle
n is the number of revolutions per minute
t is the time in seconds
Converting 45 revolutions per minute to radians per second:
v = (2π * 0.65 * 45) / 60
v ≈ 4.87 m/s
Now we can calculate the centripetal force:
Fc = (2 * 4.872) / 0.65
Fc ≈ 14.34 N