Three sleds are being pulled horizontally on frictionless horizontal ice using h

Question

Three sleds are being pulled horizontally on frictionless horizontal ice using horizontal ropes. The pull is horizontal and of magnitude 100 N. (Let m1 = 29.5 kg, m2 = 21.0 kg, and m3 = 7.5 kg.)

(a) Find the acceleration of the system.


(b) Find the tension in ropes A and B.
TA =  ? N
TB =  ? N

Three sleds are being pulled horizontally on frictionless horizontal ice using horizontal ropes. The pull is horizontal and of magnitude 100 N. (Let m1 = 29.5 kg, m2 = 21.0 kg, and m3 = 7.5 kg.) (a) Find the acceleration of the system. (b) Find the tension in ropes A and B. TA = ? N TB = ? N

Explanation / Answer

The net horizontal forces are all that matter here. Write an equation for each sled individually. For the first sled:

?F? = m?a = P - T?
T? = P - m?a------>(1)

The second sled:

?F? = m?a = T? - T?------>(2)

The third sled:

?F? = m?a = T?
T? = m?a-------->(3)

Now substitute (1) and (3) into (2) and solve for acceleration:

m?a = P - m?a - m?a
a = P / (m? + m? + m?)
= 100N/(29.5kg + 21kg + 7.5kg)
= 1.724m/s

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