7.21 As shown in the figure below, two masses m 1 = 5.30 kg and m 2 which has a

Question

7.21

As shown in the figure below, two masses m1 = 5.30 kg and m2 which has a mass 80.0% that of m1, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m1 and m2 start from rest, after they have each traveled a distance h = 1.10 m, use energy content to determine the following.

As shown in the figure below, two masses m1 = 5.30 kg and m2 which has a mass 80.0% that of m1, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m1 and m2 start from rest, after they have each traveled a distance h = 1.10 m, use energy content to determine the following. speed v of the masses magnitude of the tension T in the cord

Explanation / Answer

use conservation of energy theorem

-m2*g*h+ m1*g*h= 1/2 *(m1+m2) *v*v

==> -0.8*5.30*9.8*1.10+5.30*9.8*1.10=(1/2)*(1.8*5.30)*v*v

=>v=1.547

a of m2=T/m2

vf=1.57

uf=0

v^2=u^2+2*a*s

1.57*1.57=2*1.10*T/0.8*5.3

=>T=4.75N

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