Show Top Sites m1 = 0. 20kg ) on a frictionless horizontal air track is connecte

Question

Show Top Sites m1 = 0. 20kg ) on a frictionless horizontal air track is connected by a light string over a pulley to a metal block (mass m2 = 0. 18kg ) hanging vertically (see figure below). The objects are released from rest and move 0. 54m. (Figure 1) Find the objects' acceleration. Express your answer using two significant figures. Find the net work done on each. Express your answers using two significant figures separated by a comma. Find the work done by the string on each. Express your answers using two significant figures separated by a comma. Find the work done by gravity on the hanging mass. Express your answer using two significant figures.

Explanation / Answer

a)

m1 = 0.20 kg

m2 = 0.18 Kg

a = m2 g /(m1 + m2) = 0.18*9.8/(0.2+0.18) = 4.642 = 4.6 m/s2

b)

W1 = F d = m1 a d = 0.2 * 4.642 * 0.54 = 0.50 J

W2 = F d = m2 a d = 0.18 * 4.642 * 0.54 = 0.45 J

W1, W2 = 0.50, 0.45

c)

W1 = T d = m2 a d = 0.2 * 4.642 * 0.54 = 0.50 J

W1 = W2 = 0.50 J

WT1, WT2 = 0.50, -0.50

d)

W1 = F d = m2 g d = 0.18 * 9.8 * 0.54 = 0.95 J

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