Q. 70

Expert-verifiedFound in: Page 334

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A 750 g disk and a 760 g ring, both 15 cm in diameter, are rolling along a horizontal surface at 1.5 m/s when they encounter a 15° slope. How far up the slope does each travel before rolling back down?

Disk will travel 0.66 m up the slope and Ring will travel 0.89 m up the slope

The mass of the disc=750 gm = 0.75kg

The mass of the ring=760 gm = 0.76kg Diameter of the disk and ring = 15 cm = 0.15 m Velocity of both on horizontal surface= 1.5 m/secAngle of inclination = 15^{o}

From the law of energy conservation

Total energy on horizontal floor = Total energy on inclined plane Kinetic energy of transnational motion + Kinetic energy of rotational motion = Potential energy on inclined plane

** Calculate for Disc**In equation (1) substitute

Now substitute the given value

__Calculate for Ring__

Substitute value of in equation (1)

Substitute the value of

Substitute the given values, we get

94% of StudySmarter users get better grades.

Sign up for free