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session.masteringphysics.com Z.A Problem 7.14 « previous | 2 of 7 next Problem 7.14 Part A The sled dog in figure drags sleds A and B across the snow. The coefficient of friction between the sleds and the snow is 0.10 (Figure 1) If the tension in rope 1 is 170 N, what is the tension in rope 2? Express your answer to two significant figures and include the appropriate units. LA xxb 240 Figure 1 of 1 Submit My Answers Give Up 100 kg 180 kg 2 Incorrect Try Again, 2 attempt remaining Provide Feedback Continue

Explanation / Answer

Let common acceleration be a,

A sled

mA * a = T1 - uk*mA*g [eq1]

B sled

mB * a = (T2 - T1) - uk*mB*g [eq2]

Eleminate unknown (a) by multiplying [eq1] with mB and [eq2] with mA

mA*mB*a = T1*mB - uk*mA*mB*g [eq3]

mB*mA*a = (T2 - T1)*mA - uk*mB*mA*g [eq4]

Now, by subtracting [eq3] from [eq4],

(T2 - T1)*mA - T1*mB = 0 (uk has no impact)

T2 = (mA + mB)*T1/mA

= (100 + 80)*170/100

= 306 N Answer

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