tw afari File Edit View History Window Help webassign.net 5P071 Two masses are c

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afari File Edit View History Window Help webassign.net 5P071 Two masses are connected by a light string passing over a light, frictionless pulley as In the figure below. The m- 5.30 kg o from rest at a point 4.00 m above the floor, where the m2-2.55 kg object rests. r = 4.00 m (a) Determine the speed of each object when the two pass each other. m/s (b) Determine the speed of each object at the moment the 5.30 kg mass hits the floor m/s (c) How much higher does the 2.55 kg mass travel after the 5.30 kg mass hits the foor? Need Help? Talk to Tutor Practice Another Version Submit Answer Save Progress F5 F2 F3 F1

Explanation / Answer

This is called an Atwood machine

T-m1g=m1a

m2g-T=m2a

Eliminating T and solving for the acceleration we get

a=(5.3-2.55)/(5.3+2.55)*9.8=3.43 m/s^2

s=1/2at^2
v=at
so v=sqrt(2as). In this case s=2, the halfway point
A)
so v=3.7 m/s

B) when the 5.3 weight hits the floor the velocity is
sqrt(2*4*3.43)=5.23 m/s

C) v = u - gt

v = 0

t = u/g = 5.23/9.8 = 0.533 s

t is the time during which block m1 travels further upward

S = ut - 1/2gt^2 = 5.23*0.533 - 0.5*9.8*0.533^2

S = 0.175 m

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