A block of mass m, attached to a spring of force constant k, undergoes a simple harmonic motion on a horizontal frictionless surface. The mechanical energy of the block-spring system is E = 2.3 J. If its maximum speed is v_max = 2 m/s, then its mass is: Om = 1.28 kg m = 1.15 kg m = 0.8 kg m = 1.38 kg

k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 mi | V₁x=0 X1= 0.100 m /// 1 m=0.200 kg* X₂=0.080 m 2x immm 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?

A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 5cm and releases it at time t = 0s. The spring and object begin to oscillate under simple harmonic motion. Find the total energy of the system, the maximum kinetic energy, the maximum potential energy, and the positions where the maximum energies occur.  Answers: 0.01875 J, 0.01875 J

At sea level, at a latitude where g= 9.80 m/s^2, a pendulum that takes 3.00 s for a complete swing back and forth has a length of 2.24 m. What is the value of g in m/s2 at a location where the length of such a pendulum is 2.52 m?   Question 13 options:   8.72   11.0   12.2   10.1   9.60