Reference no: EM131279005
Please solve the following problems. You must show all work for full/partial credit. When complete, attach a typed cover sheet and submit to the assignment drop-box.
1. One lightyear is defined to be the distance light can travel in one year.
a) What is this distance in meters?
b) How long does it take for light to get to the Moon
2. Multiply 1.783 x 102 * 4.4 x 10-3, taking into account significant figures.
3. What is the surface area of a sphere of diameter 2.4 x102 cm?
4. What is larger 4000 L or 4 x 105 cm3 and you must show your reasoning.
5. A car travels 120 meters in one direction in 20 seconds. Then the car returns ¾ of the way back in 10 seconds.
a) Calculate the average speed of the car for the first part of the trip.
b) Find the average velocity of the car.
6. A sports car moving at constant speed travels 150 m in 4.00 s. If it then brakes and comes to a stop while decelerating at a rate of 6.0 m/s2. How long does it take to stop?
7. Explain a possible situation where you start with a positive velocity that decreases to a negative increasing velocity while there is a constant negative acceleration.
8. A stone is dropped from the roof of a high building. A second stone is dropped 1.25 s later. How long does it take for the stones to be 25.0 meters apart?
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Obtain an explicit time domain expression for the output
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Express e in terms of a frequency domain integral
: Express E in terms of a frequency-domain integral on the interval |Ω| jΩ) - Y(ejΩ).- write down an explicit formula for the y[n] that minimizes ε, expressing this y[n] as a suitable integral involving W(ejΩ).
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How much total work is done on the box
: A person is pulling a box across a horizontal floor at a constant speed of 1.8 m/s.The string the person is using to pull the box makes an angle of 28.0° relative to horizontal. The box has a mass of 4.60 kg and the tension in the string is 13.6N...
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Determine the loop gain and prove that the feedback is posit
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What is this distance in meters
: A sports car moving at constant speed travels 150 m in 4.00 s. If it then brakes and comes to a stop while decelerating at a rate of 6.0 m/s2. How long does it take to stop?
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How the operon helps microbe survive and possibly thrive
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Is given system linear
: Is this system linear? Time-invariant?- If x[0] = 1/2, for what values of r is x[n] bounded? - Using an appropriate computational package, compute and plot x[n] for different values of r, including r = k/4, k = 1, 2, ... , 15.
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Determine the closed-loop gain and output impedance
: The amplifier shown in Fig. 12.90 provides a closed-loop gain close to unity but a very low output impedance. Assuming λ > 0, determine the closed-loop gain and output impedance and compare the results with those of a simple source follower.
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Would a settling of the arab/israeli conflict solve problem
: Would a settling of the Arab/Israeli conflict solve the problem of terrorism against the Western nations? Why or why not?
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