A block of mass m_t = 4.00 kg is put on top of a block of mass m_b = 6.00 kg. To
ID: 1537334 • Letter: A
Question
A block of mass m_t = 4.00 kg is put on top of a block of mass m_b = 6.00 kg. To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 16.0 N must be applied to the top block. The assembly of blocks is now placed on a horizontal, frictionless table (see the figure). Find the magnitudes of (a) the maximum horizontal force vector F that can be applied to the lower block so that the blocks will move together and (b) the resulting acceleration of the blocks.Explanation / Answer
(b)
mt = 4.00 kg
mb = 6.00 kg
F1 = 16.0 N
a = F1 / mt
a = 16 / 4 = 4 m/s2
(a) Maximaum force is,
F = (mt + mb) x a
F = 10 x 4 = 40 N
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