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Two blocks are sliding to the right across a horizontal surface. In Case A the m

ID: 1395097 • Letter: T

Question

Two blocks are sliding to the right across a horizontal surface. In Case A the mass of each block is 4.3 kg. In Case B the mass of block 1 (the block behind) is 8.6 kg, and the mass of block 2 is 4.3 kg. No frictional force acts on block 1 in either Case A or Case B. However, a kinetic frictional force of 8.4 N does act on block 2 in both cases and opposes the motion. For both Case A and Case B determine (a) the magnitude of the forces with which the blocks push against each other and (b) the magnitude of the acceleration of the blocks.

Explanation / Answer

Case A)

a) acceleration of the blocks, a = F/(m1+m2)

= 8.4/(4.3+4.3)

= 0.977 m/s^2

Force between the blocks = a*m1

= 0.977*4.3

= 4.2 N <<<<<<<<----------Answer

b) a = 0.977 m/s^2 <<<<<<<<----------Answer

Case B)

a) acceleration of the blocks, a = F/(m1+m2)

= 8.4/(8.6+4.3)

= 0.65 m/s^2

Force between the blocks = a*m1

= 0.65*8.6

= 5.6 N <<<<<<<<----------Answer

b) a = 0.65 m/s^2 <<<<<<<<----------Answer

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