Calculation of velocity at position 1, V1 (Can be calculated in cm/s and then co
ID: 1314019 • Letter: C
Question
Calculation of velocity at position 1, V1 (Can be calculated in cm/s and then convert answer to m/s): Calculation of the kinetic energy of the cart at position 1, KEj . Calculation of the kinetic energy of the cart at position 2, KE2: Calculation of the gain in the kinetic energy of the cart (or change in the kinetic energy of the cart), Delta KE: Calculation of height displaced by cart from position 1 to 2, h (in cm and converted to m): Calculation of the loss in the potential energy of the cart (or change in potential energy of the cart), Delta PE: Calculation of the percent difference between the potential energy lost by the cart and the kinetic energy gained b the cart.Explanation / Answer
Average time interval delta t1 = average of values given in the table belonging to height=11.5cm
Hence Avg delta t1=0.1103cm
For Finding the velocity at position one has many methods:
a)We can find the average of values given in the table as we did for delta t1 or
b)Velocity After delta t1 along an inclined plane will be V=gsin(12)*delta t1
So Avg V1=0.709m/s
Similary Delta t2 can be found by average as we did for delta t1
Average delta t2 =0.06394s
Similarly Average v2=1.22m/s
Average K.E at position 1 =0.187066J
Average K.E at position 2 =0.5536J
Change in K.E=Average of values given in table=0.366766
Height Displaced = 11.50m
Loss of potential Energy=0.411J
% difference = 11.366%
Above values are obtained by finding the averages of values given in the rspective tables:
If u need mathematical derivation of those values its as follows:these values are theoretical values:
For Velocity at v1=gsin(12)*delta t1
For velocity at v2=v1+gsin(12)*delta t2
KE at position 1 will be 1/2*m*v1*v1
KE at position 2 will be 1/2*m*v2*v2
Gain is difference in those values:
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