Good evening,

can you help me with those questions. I posted the correct answers, but i need help with the explanation how we got the answers.

1. The correct answer is 0.146

A potter's wheel, with rotational inertia 1 = 46 kg . m2, is spinning freely at 40 rpm (@). The potter drops a lump of clay onto the wheel, where it sticks a distance (d) 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm (w) what is the mass of the clay (m)?In the figure, a uniform ladder 12 meters long rests against a vertical frictionless wall. The ladder weighs 400 N and makes an angle 0 of 790 with the floor. A man weighing 790 N climbs slowly up the ladder When he has climbed to a point that is 7.8 m from the base of the ladder, the ladder starts to slip. What is the coefficient of static friction us between the floor and the ladder? 7.8 mA 0.50-kg object is attached to an ideal massless spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. (a) What is the amplitude of vibration? (b) At what location are the kinetic energy and the potential energy of the system the same?A frictionless simple pendulum on Earth has a period of 1.75 s. On Planet X its period is 2.14 s. What is the acceleration due to gravity on Planet X?A guitar string 0.650 m long has a tension of 61.0 N and a mass per unit length of 3.00 g/m. (a) What is the speed of waves on the string when it is plucked? (b) What is the string's fundamental frequency of vibration when plucked?Interference: Two stereo speakers mounted 4.52 m apart on a wall emit identical in-phase sound waves. You are standing at the opposite wall of the room at a point directly between the two speakers. You walk 2.1 1 m parallel to the wall, to a location where you first notice that the sound intensity drops to zero. If the wall along which you are walking is 10.7 m from the wall with the speakers, what is the wavelength of the sound waves? CAREFUL! The distance to the wall is NOT much greater than the distance between the speakers.You are out in a park when suddenly a dragon appears. Terrified (as you should be) you start running away from the dragon at 2.10 m/s. As it starts to charge towards you it lets out a terrifying screech that you hear at 1,319 Hz. Knowing that dragons can screech at 1,222 Hz, how fast is the dragon moving? Take the speed of sound in air to be 343 m/s