The pulley shown below has a mass of 3.00 kg and radius R = 40.0 cm, and can be

Question

The pulley shown below has a mass of 3.00 kg and radius R = 40.0 cm, and can be treated as a uniform solid disk that can rotate about its center. The block (which has a mass of m = 800 g) hanging from the string wrapped around the pulley is then released from rest. Use g = 10 m/s2. When the block has dropped through a distance of2.00 m, what is the block's speed?

m/s

The pulley shown below has a mass of 3.00 kg and radius R = 40.0 cm, and can be treated as a uniform solid disk that can rotate about its center. The block (which has a mass of m = 800 g) hanging from the string wrapped around the pulley is then released from rest. Use g = 10 m/s2. When the block has dropped through a distance of2.00 m, what is the block's speed?

Explanation / Answer

using energy conservation ,

mgh = mv^2/2 + Iw^2 /2

0.800 x 10 x 2   = 0.800 x v^2 /2   + 3r^2 /2 x (v/r)^2 /2

16   =0.4v^2 + 0.75v^2

v =3.73 m/s

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.