Just take your time to do these questions carefully, please!!! You don't need to rush.

SERPSE1D 13.5.0P.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER After the Sun exhausts its nuclear fuel, its ultimate fate will be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. 7. [14 Points] (3) Calculate the average density of the white dwarf (in kg/m3). S W (b) Calculate the surface free-fall acceleration (in m/sz). S we (c) Calculate the gravitational potential energy (in J) associated with a 5.11 kg object at the surface of the white dwarf. :1 (d) What If? The escape speed from the "surface" of the Sun, or a distance equal to its radius, is 617.5 km/s. What would be the escape speed (in km/s) from the surface of the white dwarf? S m SERPSE1O 13.6.0P.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A communications satellite is launched into circular orbit around the Earth, at an altitude h. The satellite's mass is m, and it was launched from Earth's surface. (Use the following as necessary: RE for the radius of 8. [-l3 Points] the Earth, ME for the mass of the Earth, G for the gravitational constant, m, and h.) (a) How long does the satellite take to complete one circular orbit? T= (b) What is the satellite's speed? Vsatelllte : (c) What is the minimum energy input necessary to place this satellite in orbit? Ignore air resistance but include the effect of the planet's daily rotation. (Use the following as necessary: RE, ME, G, m, h, and TE for the period of Earth's rotation.) 10. [-I2 Points] SERPSE1D 17.6.0P.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A lab technician wishes to determine the distance from ground to water level in a well by using an adjustable frequency oscillator in the audio range. Her assistant reports that she is able to establish two successive resonances at 54.76 Hz and 60.59 Hz. (Assume that the speed of sound in air is 343 rn/s.) (a) How deep (in m) is the well? :lm (b) How many antinodes are in the standing wave at 54.76 Hz? SERPSE10 17.6.0P.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The overall length of a piccolo is 33.0 cm. The resonating air column is open at both ends. 12. [12 Points] (a) Find the frequency of the lowest note a piccolo can sound. (Assume that the speed of sound in air is 343 m/s.) E Hz (b) Opening holes in the side of a piccolo effectively shortens the length of the resonant column. Assume the highest note a piccolo can sound is 4 500 Hz. Find the distance between adjacent antinodes for this mode of Vibration. :mm SERPSE1D 17.6.0P.028.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two adjacent natural frequencies of an organ pipe are determined to be 676 Hz and 780 Hz. (Assume the speed of sound is 343 mfs.) 13. [-12 Points] (3) Calculate the fundamental frequency of this pipe. :Hz (b) Calculate the length of this pipe. :m 15. [-/2 Points] DETAILS SERPSE10 13.A.OP.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 5.46 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. m (b) A meteoroid falls from a height of 1.51 x 10' m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) m/s