According to its design specification, the timer circuit delaying the closing of an elevator door is to have a capacitance of 32.0 μ F between two points A and B. When one circuit is being constructed, the inexpensive but durable capacitor installed between these two points is found to have capacitance 34.8 μ F . To meet the specification, one additional capacitor can be placed between the two points, (a) Should it be in series or in parallel with the 34.8- μ F capacitor? (b) What should be its capacitance? (c) What If ? The next circuit comes down the assembly line with capacitance 29.8 μ F between A and B. To meet the specification, what additional capacitor should be installed in series or in parallel in that circuit?
According to its design specification, the timer circuit delaying the closing of an elevator door is to have a capacitance of 32.0 μ F between two points A and B. When one circuit is being constructed, the inexpensive but durable capacitor installed between these two points is found to have capacitance 34.8 μ F . To meet the specification, one additional capacitor can be placed between the two points, (a) Should it be in series or in parallel with the 34.8- μ F capacitor? (b) What should be its capacitance? (c) What If ? The next circuit comes down the assembly line with capacitance 29.8 μ F between A and B. To meet the specification, what additional capacitor should be installed in series or in parallel in that circuit?
Solution Summary: The author explains that the addition capacitors must be connected in series or parallel combination with the 1st capacitor.
According to its design specification, the timer circuit delaying the closing of an elevator door is to have a capacitance of 32.0 μF between two points A and B. When one circuit is being constructed, the inexpensive but durable capacitor installed between these two points is found to have capacitance 34.8 μF. To meet the specification, one additional capacitor can be placed between the two points, (a) Should it be in series or in parallel with the 34.8-μF capacitor? (b) What should be its capacitance? (c) What If? The next circuit comes down the assembly line with capacitance 29.8 μF between A and B. To meet the specification, what additional capacitor should be installed in series or in parallel in that circuit?
Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
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