Energy Energy vs. position t = 1.940 s 8 O A N O ->x (m) 0 20 40 60 80 100 120 140 160 180 200 Height (cm) 40 - 20 WW_ Length (cm) 0 20 40 60 80 100 120 140 160 180 200 Play Pause > Reset g = 10m/s^2 In our example, the ramp has the shape of a 3-4-5 triangle (the 3 side is vertical and the 4 side is horizontal). The block, which has a mass of 2.00 kg, is released from rest from the top of the frictionless incline. It slides a distance of 2.50 m down the ramp before contacting the spring (dropping in height by 1.50 m before reaching the spring). Then, the block compresses the spring by 2.50 m before coming to rest for an instant. Determine the spring constant. N/m Continuing from part (a), by how much is the spring compressed when the block reaches its maximum speed? Continuing from the previous parts, determine the maximum speed reached by the block. m/s Energy vs. position 0.5 E -1.0 -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 >x (m) The graph above shows the elastic potential energy (blue), kinetic energy (red), and total energy (green), all as a function of position, for a ball oscillating on a spring. The equilibrium position of the ball is x = 0 m. The value of the maximum energy is E = 12.0 J, and the period of oscillation is T = 2.00 s. We will neglect resistive forces. Determine the value of the spring constant of the spring. N/m The value of the maximum energy is E = 12.0 J, and the period of oscillation is T = 2.00 s. We will neglect resistive forces. Determine the mass of the ball. kg