A string is wrapped tightly around a fixed pulley that has a moment of inertia of $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ and a radius of 12.5 cm. A mass of 423 g is attached to the free end of the string. With the string vertical and taut, the mass is gently released so it can descend under the influence of gravity. As the mass descends, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the mass after it has fallen through 1.25 m ?
A) 4.95 m/s
B) 1.97 m/s
C) 2.00 m/s
D) 3.94 m/s
E) 2.28 m/s

Question

A string is wrapped tightly around a fixed pulley that has a moment of inertia of $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ and a radius of  12.5 cm. A mass of  423 g  is attached to the free end of the string. With the string vertical and taut, the mass is gently released so it can descend under the influence of gravity. As the mass descends, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the mass after it has fallen through  1.25 m ?
A)  4.95 m/s
B)  1.97 m/s
C)  2.00 m/s
D)  3.94 m/s
E)  2.28 m/s

Quizplus · Accepted Answer

The Answer of A string is wrapped tightly around a fixed pulley that has a moment of inertia of $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ and a radius of  12.5 cm. A mass of  423 g  is attached to the free end of the string. With the string vertical and taut, the mass is gently released so it can descend under the influence of gravity. As the mass descends, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the mass after it has fallen through  1.25 m ?
A)  4.95 m/s
B)  1.97 m/s
C)  2.00 m/s
D)  3.94 m/s
E)  2.28 m/s

A String Is Wrapped Tightly Around a Fixed Pulley That 0.0352 kg⋅m20.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }0.0352 kg⋅m2

A String Is Wrapped Tightly Around a Fixed Pulley That $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$