I need help on this homework problem. Please do step by step. I\'m not that arti

Question

I need help on this homework problem. Please do step by step. I'm not that articulate in physics. Thanks!

A uniform solid sphere of mass 1.5 kg and diameter 30.0 cm starts from rest and rolls without slipping down a 35 degree incline that is 7.0 m long. Calculate the linear speed of the center of the sphere when it reaches the bottom of the incline. (Use energy conservation) Determine the angular speed of the sphere about its center at the bottom of the incline. Does the linear speed in (a) depend on the radius or mass of the sphere Does the angular speed in (b) depend on the radius or mass of the sphere?

Explanation / Answer

applying energy conservation

mgh = 1/2 *m *v^2 + 1/2 *(0.4*M*r^2)w^2

gh = 1/2*(v^2+0.4v^2)

2gh/1.4 = v^2

v= 7.5 m/s

b) w = 7.5/.15 = 50 rad/s

c) linear speed does not depend on the radius of the sphere and ang speed depends on the radius but not mass

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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