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0.075 milliamperes
Ohm's Law states that voltage is equal to current times resistance, or, V = IR. Solve the equation for current, I, and substitute the known values, noting that 20k ohms is equivalent to 20,000 ohms: I = 1.5V/20,000ohms. This yields an answer of amperes, but the answer choices only provide milliamperes. To convert amperes to milliamperes, use the conversion factor of 1 A = 1000 mA: 0.000075A x (1000 mA/1A) = 0.075 mA. Note that the A's in the numerator and denominator cancel, leaving the desired mA; this technique is called dimensional analysis and proves extremely useful in verifying answers
-d) move to the left until it reaches x=−A and then begin to move to the right.
Comment:
As the block begins its motion to the left, it accelerates. Although the restoring force decreases as the block approaches equilibrium, it still pulls the block to the left, so by the time the equilibrium position is reached, the block has gained some speed. It will, therefore, pass the equilibrium position and keep moving, compressing the spring. The spring will now be pushing the
block to the right, and the block will slow down, temporarily coming to rest at x=−A.
After x=−A is reached, the block will begin its motion to the right, pushed by the spring. The block will pass the equilibrium position and continue until it reaches x=A, completing one cycle of motion. The motion will then repeat; if, as we've assumed, there is no friction, the motion will repeat indefinitely.
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