A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by x = (8.0 cm)cos[2nt/(4.58 s)]. Determine the following. (a) period of the motion [b) frequency of the oscillations Hz (c) first time the mass is at the position x = 0 S (d) first time the mass is at the site of maximum compression of the springYou have a summer job working for a basketball camp. The child who wins the dribbling competition can dribble a basketball with a frequency of 1.75 Hz. How long does it take her to complete 20 dribbles? S Additional Materials ReadingA 0.40-kg mass is attached to a spring with a force constant of k = 237 N/m, and the mass-spring system is set into oscillation with an amplitude of A = 1.9 cm. Determine the following, (=) mechanical energy of the system J (b) maximum speed of the oscillating mass m/S (c) magnitude of the maximum acceleration of the oscillating mass m/sTwo forces P and Q act on an object of mass 10.0 kg with Q being the larger of the two forces. When both forces are directed to the left, the magnitude of the acceleration of the object is 1.20 m/s'. However, when the force P is directed to the left and the force Q is directed to the right, the object has an acceleration of 0.600 m/'s? to the right. Find the magnitudes of the two forces P and Q in newtons. IN(a) What is the length of a simple pendulum that oscillates with a period of 2.6 s on Earth, where the acceleration due to gravity is 9.80 m/'s", and on Mars, where the acceleration due to gravity is 3.70 m/'s?? LE = m L = m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 2.6 s on Earth, where the acceleration due to gravity is 9.80 m/'s", and on Mars, where the acceleration due to gravity is 3.70 m/'s?? my = kg kg