Spark interval - According to the second law of Newton, F is equal to k*m*a where k is proportionality PDF

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According to the second law of Newton, F is equal to k*m*a where k is proportionality constant which is taken to be equal to 1....

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Measurements Time interval between spark: t [sec]=0.1 Glider mass, M [gram]=150.2 Hanging mass, m [gram]=15.0 Block height, h [cm]-3.8 Distance between legs, L [cm]=98.2

Spark pair 1 Spark no. location along track: s [cm] 1. 0 cm 2. 1.3 cm Spark pair 2 Spark no. location along track; s [cm] 1. 91.0 cm 2. 98.8 cm

Spark interval Displacement: s [cm] 1 0 2 1.3 Time interval between sparks pairs T [sec]= 24 Spark pair 1

Calculations Spark interval 1 Average speed=s/t =0cm(0m) =0/0.1 v=0m/s

Average speed [v] :=s/t[m/s] 0m/s 0.13m/s

Spark interval 2 Average speed=s/t =1.3cm(0.013m) =0.013/0.1 v=0.13m/s Spark interval 1 2

Displacement: s [cm] 91.0 98.8

Spark pair 2

Calculations Spark interval 1 Average speed=s/t =91cm(0.91m) =0.91/0.1 v=9.1m/s Spark interval 2 Average speed=s/t =98.8cm(0.988m) =0.988/0.1 v =9.88m/s 1. Calculate the inclination angle from; h=3.8cm, L=98.2cm Sin0=h/L =3.8/98.2 =0.0386 2. Calculate the experimental acceleration of the glider using: Average speed=v/t Spark pair 1 Spark interval 1 v=0m/s Exp acceleration=0/24 =0

Average speed [v] :=s/t[m/s] 9.1m/s 9.88m/s

Spark interval 2 v=0.13m/s Exp acceleration=0.13/24 =0.00542

Spark pair 2 Spark interval 1 v=9.1m/s Exp acceleration=9.1/24 =0.379 Spark interval 2 v=9.88m/s Exp acceleration=9.88/24 =0.412 3. Use equation 2 to calculate the theoretical acceleration on the incline (F=ma) Spark pair 1 Spark interval 1 =F=ma =15*0 =0 Spark pair 1 Spark interval 2 =F=ma =15*0.00542 =0.08 Spark pair 2 Spark interval 1 =F=ma =15*0.379 =5.69 Spark pair 2 Spark interval 2 =F=ma =15*0.412 =6.18

4. Determine the percentage difference between a(Theo) and a(expe) experimental Spark pair 1 Spark interval 1 Exp acceleration=0% Spark pair 1 Spark interval 2 Exp acceleration=0.54% Spark pair 2 Spark interval 1 Exp acceleration=37.9% Spark pair 2 Spark interval 2 Exp acceleration=41.2% Theoretical Spark pair 1 Spark interval 1 theo acceleration=0% Spark pair 1 Spark interval 2 theo acceleration=8% Spark pair 2 Spark interval 1 theo acceleration=500.69% Spark pair 2 Spark interval 2 theo acceleration=600.18% 5. Use equation (4) to calculate u(k) According to the second law of Newton, F is equal to k*m*a where k is proportionality constant which is taken to be equal to 1. so k=1...