Question

1) Determine the work done by gravity on the cart from the point it lost contact with the bumper (h1) to the highest position it reached on the track (h2). Show all work and equations

2) Using the conservation of energy formula ONLY.

i) Using your speed value from the velocity graph, determine the work done by friction on the cart from the relaxed position to the highest point achieved on the track. Show all work and equations.

ii) Referring to the part 'i' above, determine the % of energy 'lost' to friction. SHow all work and equations.

iii) Starting from the compressed position to the relaxed position, determint the value of the spring constant, k. Show all work and equations

iv) Provide two possible errors (other than measurement or human) that could explain why the value of 'k' could be incorrect.

3) If the mass of the cart was half of its original value, discuss what effect, if any, this would have (justify your answers):

i) during launch

ii) during the ascent up the ramp after losing contact with the bumper.

Given info

- relaxed position = 0.23 m

- compressed position = 0.185 m

- m = 0.504 kg

(h1) = height = .045 m <-- during relaxed position

(h2) = highest point y (height = 0.08 m), highest point x (length of ramp = .76 m)

velocity from graph = .835 m/s

Answer 1

81 Lo os-o.ous 9) Walk dore by fricton 2 2.6 2-0-196 =2-44丁 to riction 2.62オ0-19( Change 2. 2.