x (ст) 2.00 1.00 t (s) 0.00 -1.00 -2.00 Figure P13.42 గ 2.

A 0.60 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 18.5 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until x, = -4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the block's maximum speed (in m/s) after it is released? 1.23 X Mechanical energy is conserved in this system, and the gravitational term remains unchanged (since all motion is horizontal). Write an expression for mechanical energy that includes the kinetic energy and the potential energy of the spring. Which term(s) can be ignored when the spring is compressed and the block at rest? Which term(s) can be ignored when the block is moving at its greatest speed? Use the remaining terms, and the given quantities, to solve for the maximum speed. m/s (b) How fast is the block moving (in m/s) when the spring is…

A 2.50-kg object is attached to a spring with a force constant of 4.50 N/m. The object rests on a horizontal surface that has a viscous, oily substance spread evenly on it. The object is pulled 15.0 cm to the right of the equilibrium position and set into harmonic motion. After ?1=2.00 s the amplitude has fallen to 7.00 cm due to frictional losses in the oil. Calculate the natural frequency f0 of the system. Calculate the frequency ? of oscillation that will be observed for the motion.

A particle with a mass of 1.3 x 10 20 kg is oscillating with simple harmonic motion with a period of 2.8 × 10-5 s and a maximum speed of 3.8 x 10° m/s. Calculate (a) the angular frequency and (b) the maximum displacement of the particle. (a) Number i| 224.28 Units rad/s (b) Number i 16.94 Units