Assignment:
Problems:
1) The Martian satellite Phobos travels in an approximately circular orbit of radius 9.4 x 106 m with a period of 7 hours and 39 min. Calculate the mass of Mars from this information.
2) The mean distance of Mars from the Sun is 1.52 times that of Earth from the Sun. From Kepler's law of periods, calculate the number of years required for Mars to make one revolution about the Sun.
3) A box on a spring starts 6 cm from equilibrium. The box starts from rest and has a mass of 2 kg and a spring constant of 1200 N/m.
(a) What is the period of the oscillation?
(b) Write out the position, velocity and acceleration equations for the box's motion.
4) An object oscillates with an amplitude of 6 cm on a horizontal surface. The spring has a constant of 2 kN/m. It has a maximum speed of 2.2 m/s. Find the (a) mass of the object, (b) the frequency of motion, (c) and the period of motion.
5) A 3 kg object oscillating on a spring of force constant 2 kN/m has total energy 0.9 J. (a) What is the amplitude of motion? (b) What is the maximum speed?
6) Skid of 2 kg is oscillating on a spring. Skid has a period of s and has an amplitude of 40 cm. Find (a) the angular frequency, (b) the total energy of the system (c) At what location will Skid's velocity be 0.6 m/s?
7) A simple pendulum on Earth has a period of 2 s. What is its period on the moon? (The moon has a mass of 7.36 x 1022 kg and a radius of 1.74 x 106 m.)
8) A pendulum consists of a disc attached to a rod. The disc has a mass of 500 g and radius 10 cm. The rod has a mass of 270 g and a length of 500 mm. Calculate the period of oscillation.
