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 = 15o
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 DiscIn 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
A satellite follows the elliptical orbit shown in FIGURE P12.77. The only force on the satellite is the gravitational attraction of the planet. The satellite’s speed at point a is 8000 m/s.
a. Does the satellite experience any torque about the center of the planet? Explain. b. What is the satellite’s speed at point b? c. What is the satellite’s speed at point c?
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