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A string with mass per unit length μ1 is under tension T1. A wave traveling along this string has a speed v1. A wave traveling along a second string has speed v2. If v2 = 4v1, what could be the tension, T2, and mass per unit length, μ2, of the second string?

Suppose [Q]×105 J of energy are transferred to [m] kg of ice at 0 oC. The heat of fusion of water is Lf = 3.33 × 105 J/kg. The specific heat of water is c = 4186 J/(kg.K). Determine the final temperature of the liquid water in Celsius.

A container is filled with water and the pressure at the bottom of the container is P. Then the container is emptied halfway and topped off with oil of density 0.95 × 103 kg/m3, which floats on top of the water. What is the pressure at the bottom of the container now?

A projectile is launched with an initial speed of [v0] m/s at an angle of [theta]° above the horizontal. The projectile lands on a hillside [t] s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) What is the straight-line distance from where the projectile was launched to where it hits its target? Express your answer in meters.

A projectile is launched with an initial speed of [v0] m/s at an angle of [theta]° above the horizontal. The projectile lands on a hillside [t] s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) What is the angle of the projectile’s velocity at the highest point of its trajectory, relative to the horizontal (the +x-axis)?

After reading the articles and watching the videos in class, what do you think are the most important aspects of happiness?  Why?  Your answer should be at least 5 sentences. (Make sure you follow the paragraph structure we have discussed.)

Which of the following identities is not a Pythagorean Identity?

Results: A scientist found that lizards that ate fruit flies ran the fastest (10 m/s).  Lizards that ate wax worms ran the slowest (2 m/s).  Lizards that ate crickets ran faster (8 m/s) than those that ate mealworms (6 m/s).    (m/s = meters per second) If you sketched a graph to present the data (results), you would have to include all the components of a good graph.    What would the following components be?   X-Axis Title =  Y-Axis Title =  Graph Title =  Type of Graph = 

The domain of the inverse secant function, , is:

The following describes a scientific investigation.  Please read the text and the answer the questions that follow.  A research scientist was studying lizards.  The scientist wanted to know if lizards would run faster or slower depending on the types of insects that they ate.  All the lizards would be the same species.  Each group of lizards received only one species of insect for all their meals.  The insects would be: crickets, mealworms, wax worms, and fruit flies.  The lizards would be fed in their housing, not while racing because you don’t want them to get sick.  The scientist made a lizard-sized racetrack which included little infrared light beams connected to a computer.  When the lizards ran down the track a computer would record their times when they went through the lights.   A. Which is the dependent variable? B. Which is the independent (experimental) variable in this study?