A block m1 to pull it to the right as shown below 2. (a) What is the acceleratio

Question

A block m1 to pull it to the right as shown below 2. (a) What is the acceleration of the blocks? (Enter the magnitude.) (b) What is the magnitude of the static force of friction acting on the top block if it moves with the acceleration you determined in part (a)? (c) Will the top block slide on the bottom block when the bottom block is pulled to the right? To determine this, find the maximum static friction force that can possibly act on m2 direction Select Will the block slide relative to the bottom block? O Yes No

Explanation / Answer

We assume that both blocks are moving together, that is friction between the two is static and both have common acceleration.
Only external force acting on the blocks is 2.00 N force.
so common acceleration of blocks = 2/(m1 + m2) = 0.79 m/sec2

Now we need to verify our assumption. Our assumption is correct if force of friction between the blocks is less than maximum static friction.
maximaum static friction = (mu) mg = 0.96 N
Force of friction = force on the upper block = m2 * a = 0.95N
Hence our assumption is correct.
a) acceleration of blocks = 0.79 m/s2
b) force of friction between the blocks = 0.95N
c) upper block does not slide and max. static force of friction = 0.96 N

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