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Identify possible samples for the following populations:


1. Students enrolled in schools along university belt


2. Athletes participating in the 2005 summer Olympics


3. Electric consumption of families in the national capital region


4. Production output of a pharmaceutical company


5. Marine life in the Philippines

Four balls are drawn in succession without replacement from an urn containing 4 red balls, 3 blue balls and 3 yellow balls. Let Z be the random variable representing the number of blue balls.




For very large resistances it is easy to construct R-C circuits that have time constants of several seconds or minutes. How might this fact be used to measure very large resistances, those that are too large to measure by more conventional means?


The direction of current in a battery can be reversed by connecting it to a second battery of greater emf with the positive terminals of the two batteries together. When the direction of current is reversed in a battery, does its emf also reverse? Why or why not?


Hannah with a mass of 56.2 kg) is traveling at a speed of 12.8 m/s at the top of a 19.5-m high roller coaster Loop in a THEME park.


Find the following:

A.Hannah’s kinetic energy at the top of the loop.

B.Hannah’s potential energy at the top of the loop.

C.Assuming negligible losses of energy due to friction and air resistance, determine Hannah’s total

mechanical energy at the bottom of the loop (h=0 m).

D.Determine Hannah’s speed at the bottom of the loop.


High-voltage power supplies are sometimes designed intentionally to have rather large internal resistance as a safety precaution. Why is such a power supply with a large internal resistance safer than a supply with the same voltage but lower internal resistance?


A rule of thumb used to determine the internal resistance of a source is that it is the open-circuit voltage divided by the short-circuit current. Is this correct? Why or why not? 


Two copper wires with different diameters are joined end to end. If a current flows in the wire combination, what happens to electrons when they move from the larger-diameter wire into the smaller-diameter wire? Does their drift speed increase, decrease, or stay the same? If the drift speed changes, what is the force that causes the change? Explain your reasoning.


A 10-Newton object moves to the left at 1 m/s. Its kinetic energy is approximately Joules if you double the speed.



a. 0.5 b. 1 c. 10 d. 20



1What is the work done by GRAVITY if a 50kg block is pushed along a 4m horizontal track?


a. 1960 Joules

b. Zero Joules

c. 13 Joule

d. 540 joules


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