Question

If the car has a mass of 0.4 kg, the ratio of height to width of the ramp is 19/85, the initial displacement is 1.9 m, and the change in momentum is 1.27 kg*m/s, how far will it coast back up the ramp before changing directions (meters)?

Answer 1

final displacement lf = 0.39 m

Step-by-step explanation:

from change in momentum equation:

`\delta p = m \sqrt(2g * y/x)* [\sqrt li + \sqrt lf]`

given: m = 0.4kg, y/x = 19/85, li = 1.9 m,

\delta p = 1.27 kg*m/s.

putting all value to get the final displacement value

`1.27 = 0.4\sqrt(2*9.81 *(19/85))* [\sqrt 1.9 + \sqrt lf]`

final displacement lf = 0.39 m