A heavy block, labeled "A", is sitting on a table. On top of that block is a lighter block, labeled "B" as shown in the figure at the right. Consider three cases. (A) The finger is pushing but not hard enough. Neither block moves. (B) The finger is pushing hard enough that the two blocks are speeding up. (C) The blocks have sped up, and are now moving at a constant speed. The finger still has to push to keep them going at a constant velocity. B A In all cases where the blocks are moving, they are moving together. (Block B is not sliding on block A.) Block A has a mass of 0.6 kg; block B has a mass of 0.1 kg. the coefficient of friction between the block and the table is 0.3 and the coefficient of riction between the two blocks is 0.2. (You may use g = 10 N/kg and you may treat kinetic and static friction as the same.) 1. For case (A), what is the maximum force the finger can exert without the blocks beginning to move? 2. For case (B), while the blocks are speeding up, the finger is pushing with a force of 3.5 N. Can you find the acceleration of plock A? If so, find it and show your work. If not, explain why not. 3. Find the time At needed for this force to bring the block from rest to a speed of 10 cm/s. 3. For case (B), we are assuming that the blocks are moving together. This means that block B is speeding up. But the finger s not touching block B. What force is responsible for the acceleration of block B? Find its magnitude and direction. Is our assumption correct? Will block B indeed be able to speed up with block A without slipping? Explain. 4. Suppose the bottom block has a mass of 0.4 kg and the top block has a mass of 0.1 kg What force do you need to exert to keep the blocks moving at a constant speed of 10 cm/s?
A heavy block, labeled "A", is sitting on a table. On top of that block is a lighter block, labeled "B" as shown in the figure at the right. Consider three cases. (A) The finger is pushing but not hard enough. Neither block moves. (B) The finger is pushing hard enough that the two blocks are speeding up. (C) The blocks have sped up, and are now moving at a constant speed. The finger still has to push to keep them going at a constant velocity. B A In all cases where the blocks are moving, they are moving together. (Block B is not sliding on block A.) Block A has a mass of 0.6 kg; block B has a mass of 0.1 kg. the coefficient of friction between the block and the table is 0.3 and the coefficient of riction between the two blocks is 0.2. (You may use g = 10 N/kg and you may treat kinetic and static friction as the same.) 1. For case (A), what is the maximum force the finger can exert without the blocks beginning to move? 2. For case (B), while the blocks are speeding up, the finger is pushing with a force of 3.5 N. Can you find the acceleration of plock A? If so, find it and show your work. If not, explain why not. 3. Find the time At needed for this force to bring the block from rest to a speed of 10 cm/s. 3. For case (B), we are assuming that the blocks are moving together. This means that block B is speeding up. But the finger s not touching block B. What force is responsible for the acceleration of block B? Find its magnitude and direction. Is our assumption correct? Will block B indeed be able to speed up with block A without slipping? Explain. 4. Suppose the bottom block has a mass of 0.4 kg and the top block has a mass of 0.1 kg What force do you need to exert to keep the blocks moving at a constant speed of 10 cm/s?
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Transcribed Image Text:A heavy block, labeled "A", is sitting on a table. On top of that block is a lighter block, labeled "B" as shown
in the figure at the right. Consider three cases.
(A) The finger is pushing but not hard enough. Neither block moves.
(B) The finger is pushing hard enough that the two blocks are speeding up.
(C) The blocks have sped up, and are now moving at a constant speed. The finger still has to push to keep
them going at a constant velocity.
B
A
In all cases where the blocks are moving, they are moving together. (Block B is not sliding on block A.)
Block A has a mass of 0.6 kg; block B has a mass of 0.1 kg. the coefficient of friction between the block and the table is 0.3 and the coefficient of
friction between the two blocks is 0.2. (You may use g = 10 N/kg and you may treat kinetic and static friction as the same.)
1. For case (A), what is the maximum force the finger can exert without the blocks beginning to move?
2. For case (B), while the blocks are speeding up, the finger is pushing with a force of 3.5 N. Can you find the acceleration of
block A? If so, find it and show your work. If not, explain why not.
3. Find the time At needed for this force to bring the block from rest to a speed of 10 cm/s.
3. For case (B), we are assuming that the blocks are moving together. This means that block B is speeding up. But the finger
is not touching block B. What force is responsible for the acceleration of block B? Find its magnitude and direction. Is our
assumption correct? Will block B indeed be able to speed up with block A without slipping? Explain.
4. Suppose the bottom block has a mass of 0.4 kg and the top block has a mass of 0.1 kg What force do you need to exert to keep the blocks
moving at a constant speed of 10 cm/s?
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Step 1: Determine the given data:
VIEWStep 2: 1) For case A, find the maximum applied force:
VIEWStep 3: 2) Find the acceleration of block A:
VIEWStep 4: 3) Find the time taken to reach 10 cm/s:
VIEWStep 5: 4) Find the force responsible for the acceleration of the bock B:
VIEWStep 6: 5) Find the force exerted to move them with constant speed:
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