A String Is Wrapped Tightly Around a Fixed Frictionless Pulley $\mathrm { kg } \cdot \mathrm { m } ^ { 2 }$

Multiple Choice

A string is wrapped tightly around a fixed frictionless pulley that has a moment of inertia of 0.0352 $\mathrm { kg } \cdot \mathrm { m } ^ { 2 }$ and a radius of 12.5 cm. The string is pulled away from the pulley with a constant force of 5.00 N, causing the pulley to rotate. What is the speed of the string after it has unwound 1.25 m if the string does not slip on the pulley?

A) 4.95 m/s
B) 2.36 m/s
C) 2.09 m/s
D) 1.18 m/s
E) 3.18 m/s