Phys 2A Conservation of Experiment 5: Energy on an Incline Energy Data Mass of Cart = 6.25 0 174 Distance spring is compressed x=_ 6. 0 23 m Angle of incline 0 = 100 Initial position of cart = Trial Max. Value of d h= d sino 1 0 . 14 1 m 0. 0 245 2 0 . 1 6 2 m 0. 0281 3 0, 137 m 0. 0237 4 0. 162 m 0. 6 281 5 0. 166 m 0. 0288 Table 2 IV. Analysis of Data (1) Using the data in Table 1, plot force versus displacement (make sure your units are correct) on excel and find the slope. The slope is equal to the effective spring constant, k. Include your graph with this lab. k =_ N/m (2) Use the spring compression to calculate the initial spring potential energy, just before the cart is launched. Show your work in the space below. Us p = 1 / 2 Kx 2 USp = 1/2X * ( (0 0 23 ) 3NAME: Phys 2A Conservation of Experiment 5: Energy on an Incline Energy The purpose is to examine spring potential energy and gravitational potential energy and to show how energy is conserved... or not conserved. This is a real world lab, so we are bound to have some energy lost. Apparatus: Dynamics Cart with Mass, Dynamics Cart Track, Super Pulley with clamp, Base and Support rod, Mass hanger and mass set (several kilograms), String, Mass balance and Meter stick. PreLab: Complete this section before you make any measurements: 1. A cart is placed an an inclined ramp with a spring at the bottom of the incline. The cart is pushed into the spring, compressing the spring, and then released. It travels a distance d along the ramp before coming to a stop. What energy transformation just took place? W - usr K - > Us - JUST 2. What are the equations associated with the energy transformation mentioned above? Set up your conservation of energy equation (starting with E, = E,). Ignore friction or energy loss. [mv z tugY = [ Kx2 3. If friction and energy loss cannot be ignored (and it can't be for our lab), how would your initial energy compare to the final energy? The initial energy will be higher Initial Procedure (1) Start by leveling the track by setting the cart on the track to see which way it rolls. Adjust the leveling know (located at the end of the track) to raise or lower the ends until the cart placed at rest on the track will not move. (2) Use the balance to find the mass of the cart. Record this value in Table 2.Phys 2A Conservation of Experiment 5: Energy on an Incline Energy (3) Calculate the final gravitational potential energy, when the cart has reached the maximum height. You will use the average height calculated from table 2. Show your work in the space below. Ug = Us = msy UG = C.