6. Hang the 10gm accelerating mass my from the loop in the string. Keep the paper clips attached. 7. Practice releasing the cart from the 20.0cm mark being careful not to give it any push or pull. Practice also starting the stopwatch as the cart is released and stopping the stopwatch as the cart passes the 90.0cm mark. 8. Record the time the cart takes to move through a distance x= 0.700m (from the 20.0cm mark to the 90.0cm mark) after it is released from rest in table 4.1. Run four trials. Data Distance traveled x=0.700m Mass of Dynamic Cart m1=0.500kg Accelerating mass m2=0.010kg Tria Time(sec.) 1 2.45 2 2, 20 3 2, 42 4 2. 410 average 2. 37 Table 4.1 Analysis of data: 1. Calculate the experimental value of the acceleration using the average time from the data in table 4.1. 9 = 3X 2 2 10. 700 ) = 0. zagn 0. 25 m/s (2. 37 ) 2 (2) From Newton's Second Law we have: Fnet = ma . Using the appropriate free-body diagrams, determine the theoretical value of the magnitude of the acceleration of the system. Fe = Coloks ( 9.8 m/5 2 ) = 0.192 ) (3) Calculate the percentage error. Discuss sources of error in your conclusion. (6. 192 - 0.25) X 100 = - 29, 7 0 10. 192 conclusionExpt. 4: Uniformly Accelerated Motion Objective: To determine the acceleration of an object moving under the influence of a constant force. Apparatus: cart, 1.2m track, pulley, pulley clamp, mass , stopwatch, string, stop. Theory In this lab, a small mass m2 will be connected to the cart(mi) by a string as shown in fig. 4.1. The string will pass over a pulley at the track's edge so that as the mass m2 falls, the cart(m1) will be accelerated over the track's surface. As long as the string is not too elastic and there is no slack in it, both the falling mass and the cart will have the same acceleration. The cart will be released from rest and allowed to accelerate over a distance x. Using a stopwatch , you will determine how long it takes, on the average, for the cart to move through a distance x. An experimental value for the cart's acceleration can be determined from the equations of kinematics: X=. at 2 which leads to: a= (Experimental Value) The theoretical value of the acceleration can be obtained by applying Newton's Second Law. Paper clips m2 Fig4.1 Procedure: 1. Set up the pulley, cart and the stop on the track as shown in fig. 4.1. Place the stop at the 1 10cm mark on the track. 2. Carefully level the track until the cart has no particular tendency to drift or accelerate in either direction along its run. 3. Tie a string to one end of the cart. Place the cart with the front end (the end with the string attached) at the 20.0cm mark on the track and facing the pulley. 4. Stretch the string over the pulley. Adjust the pulley so that the string is level and above the stop. Tie a small loop in the string just beyond the pulley. 5. Hang paper clips from the loop in the string until the cart will just continue to move without apparent acceleration when barely nudged. This small added mass will compensate for friction in the system and will be ignored in the calculations