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Dafna1 [17]
4 years ago
12

Which of the following is the product of the rational expressions shown below?

Mathematics
1 answer:
Vlad [161]4 years ago
6 0
\frac{x}{x-5} * \frac{2x}{x+4}
\frac{2x^{2} }{(x-5)(x+4)}               (distribute out the bottom)
\frac{2 x^{2} }{ x^{2} + 4x-5x-20}  
\frac{2 x^{2} }{ x^{2} -1x-20}         (this is your answer)
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Two blocks are connected by a very light string passing over a massless and frictionless pulley. The 20.0 N block moves 75.0cm t
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The string is assumed to be massless so the tension is the sting above the 12.0 N block has the same magnitude to the horizontal tension pulling to the right of the 20.0 N block. Thus, 
1.22 a = 12.0 - T  (eqn 1)
and for the 20.0 N block: 
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction) 
2.04 a = T - 6.5  (eqn 2) 

[eqn 1] + [eqn 2] → 3.26 a = 5.5 
a = 1.69 m/s² 


Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5 
T = 9.95 N 

Now want the resultant force acting on the 20.0 N block: 
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N 
<span>Units have to be consistent ... so have to convert 75.0 cm to m: </span>

75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m 
<span>work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J</span>
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Step-by-step explanation:

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