A 44.4-kg girl is standing on a 155-kg plank. Both originally at rest on a froze

Question

A 44.4-kg girl is standing on a 155-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity of 1.60 m/s relative to the plank. (a) What is the velocity of the plank relative to the ice surface? Your response differs from the correct answer by more than 100%.i m/s (b) What is the girls velocity relative to the ice surface? Your response differs from the correct answer by more than 10%. Double check your calculations] rn/s

Explanation / Answer

mg = 44.4 kg, mp = 15kg, vgp = 1.6 i

vgi = vgp -vpi

mg* vgi = mp* vpi

mg (vgp -vpi) = mp *vpi

mg *vgp = mg *vpi +mp* vpi

vpi = mg *vgp/(mg +mp)

vpi = (44.4*1.6i)/(44.4+155)

vpi= 0.356i m/s

(b) vgi = vgp - vpi

vgi = 1.6 - 0.356 = 1.244 m/s

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