on in shell addition of forces Mesurement Two masses are connected by a light st

Question

on in shell addition of forces Mesurement Two masses are connected by a light string passing over a light, frictionless pulley as in the figure below. The m1 -5.30 keg object is relensed from rest at a point 4.00 m above the floor, where the m2 2.55 kg object rests. mentsd graph 1 physics mentSd Linear motion and BIOL3000Lab inal jeprty for pre Lab2Assignn h= 4.00 m Mg (a) Determine the speed of each object when the two pass each other m/s Lab 5 physics the speed of each object at the moment the 5.30 kg mass hits the floor m/s (b) Determine RStudio-1.0.353 (e) How much higher does the 2,55 kg mass travel after the s 30 kg mass hits the floor? Nood Help? htra hete Chitin answer on test question

Explanation / Answer

a] decrease in potential energy = increase in KE

m1gh/2 - m2gh/2 = 0.5*(m1+m2) v^2

5.30*9.8*2 - 2.55*9.8*2 = 0.5*(5.30+2.55)*v^2

53.9 = 0.5*7.85 v^2

v = sqrt(53.9*2/7.85) = 3.706 m/s

b] The acceleration is same, distance h is double of previous case, so by third equation of motion, v = sqrt(2as)

v becomes sqrt 2 times,

v = 3.706*sqrt 2 = 5.241 m/s

c] Now string becomes loose and acceleration becomes g, by third equation of motion,

s = v^2/2g = 5.241^2/[2*9.8]

= 1.40 m

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