Question

1. Uranus's moon Titania has a radius of 7.89 ✕ 10⁵ m and a measured gravitational field of 0.377 m/s². What is its mass (in kg)?

2. Earth is 1.5 ✕ 10¹¹ m from the Sun. Jupiter is 7.8 ✕ 10¹¹ m from the Sun. How does the gravitational field of the Sun on Jupiter (g_SJ)  compare to the gravitational field of the Sun on Earth (g_SE)?

g_SJ

g_SE

3. In a high school swim competition, a student takes 1.8 s to complete 4.5 somersaults. Determine the average angular speed of the diver, in rad/s, during this time interval.

4. An automobile with 0.320 m radius tires travels 80,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

5. A bicycle tire of radius 0.36 m has a piece of gum stuck on its rim. What is the angle through which the tire rotates when the gum has moved through a linear distance of 1.89 m? Express your answer in radians and degrees.

Answer 1