Q13: The block shown is released () from rest with the spring unstretched (). The pulley and the horizontal surface are frictionless. If k = 490N / m and M = 3kg what is the maximum extension of the spring?

7. The force of an ideal spring is given by F = -k x Where k is the spring constant of the spring and x is the displacement of the spring from equilibrium. To stretch a certain spring 3.00 cm from its unstretched length, 12.0 J of work must be done. a. What is the force constant of this spring? b. What magnitude force is needed to stretch the spring 3.00 cm from its unstretched length? c. How much work must be done to compress this spring 4.00 cm from its unstretched length, and what force is needed to compress it this distance?

1. How much work was done by a machine that exerts a 5000 N force to compress a 10-meter-long steel bar so it becomes 3 meters in length. 2. Find the angle between the 500 N applied force and the 3-meter displacement if the work done is 1500 Joules. Hiii please write a solution thank you

1. A roller-coaster car with a mass of 1200 kg starts at rest from a point 20 m above the ground. At point B, it is 9 m above the ground. [Express your answers in kilojoules (kJ).] a. What is the initial potential energy of the car? b. What is the potential energy at point B? c. If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 40 000 J (40 kJ), what is the kinetic energy of the car at point B 2. The time required for one complete cycle of a mass oscillating at the end of a spring is 0.80 s. What is the frequency of oscillation?