Push the cart up the incline and allow the cart to slow, stop, then slide down t
ID: 1436838 • Letter: P
Question
Push the cart up the incline and allow the cart to slow, stop, then slide down the incline with the motion detector at the top of the incline measuring the motion of the cart. Determine the angle of the ramp:
Height of track (vertical distance) (m):___0.243 m__________________
Hypotenuse (length of track) (m):____2.0 m___________________
Calculate the angle of the ramp: 6.98
Mass of Air Cart (kg):___.1896 kg___________________________
At the top of the incline:
Initial Time (s):____1.75 s_______________ Initial Position (m):____.486 m____________(x1)
Initial Velocity (m/s):____-0.026 m/s______________
At the bottom of the incline:
Final Time (s):___2.80 s____________ Final Position (m):_____1.134 m____________(x2)
Final Velocity (m/s):____1.206 m/s______________
Determine the actual vertical drop experienced by the cart from top to bottom:
Height = (x1-x2) sinq = ___-0.078732__________________
Use energy to show whether or not your data agrees with the Law of Conservation of Energy. Explain.
Explanation / Answer
If the previous produced values are considered correct then we can use the Conservation of Energy as follows
Work Done =Change in kinetic Energy
Mgh = 1/2 M (Vf^2 - Vi^2)
9.8*0.078732 = .5 * ( 1.2*1.2 - .026*.026)
0.77 =~ 0.76
Hence energy is conserved
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