Section Student Name Report on Laboratory Experiment \"Newton\'s Second Law: Atw

Question

Section Student Name Report on Laboratory Experiment "Newton's Second Law: Atwood's Machine" We can leave all masses in grams (3) since all calculations involve ratios of masses. DATA TABLE Trial 1 Trial 2 Trial 3 Trial 4 Mass of pulley Mg Mass of the first weight holder mheweight holder 1 (8) Mass of the weight, placed in the weight holder 1 Ann (g) Total ascending mass mi (g) Note Mass of the second weight holder mpeight holder 2 Mass of the weight, placed in the 73 401.5 gs.sz. Ilo2.5T 123.5% S3 715 weight holder 2 4m2 (g) Total descending mass m2 Height of fall h Measurement 1 Measurement 2 Measurement 3 Measurement 4 Measurement 5 Average time of fall t (s) Theoretical acceleration a from (1) (m/s) Measured acceleration a from (2) m/s) % Difference

Explanation / Answer

BD equation of m1 , T-m1g =m1a

   where T is tension in the string , a is acceleration of m1

FBD equation of m2 , m2g-T =m2a

adding both equations we get

m2g-m1g =m1a+m2a

(m2-m1)g=(m1+m2)a

   acceleration a = (m2-m1)g/(m1+m2)

for trial 1 , given m2 =73.71 g    m1 =63.58 g

a = (73.71-63.58 )9.8 /(73.71+63.58)

   a=0.723 m/s^2

For trial 2, m2=93.71 m1 =83.58

   a =(93.71-83.58)9.8/(93.71+83.58)=0.56 m/s^2

For trial 3 , m2 =113.71    m1 =103.58

a=(113.71-103.58)9.8/(113.71+103.58)=0.457 m/s^2

for traial 4 , m2 =133.71    m1 =123.58

   a = (133.7-123.58)9.8/(133.71+123.58) =0.386 m/s^2

distance travelled by mass ,H =0.5 at^2

   given H=0.89 m

For trial 1 ,    0.89= 0.5*0.723 *t^2

   t^2 =0.89/(0.723*0.5)

   t^2=2.462

t= sqrt (2.462)

time t = 1.569 seconds

for trial 2. a=0.56m/s^2 ,    H=0.5at^2

   t=sqrt(2H/a) =sqrt((2*0.89)/0.56) =3.56 sec

For trial 3 a =0.457

   t =sqrt(H/a)= sqrt(2*0.89/0.457) =6.96 sec

For trial 4 a= 0.386

   t=Sqrt(2H/a)= sqrt(2*0.89/0.386) =18.01 seconds

now i order to find theoritical acceleration from m1 measure the time for fall and find the accelration using H=0.5at^2 and calcute difference between theoritical and measured values of acceleration .

  

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