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A solar heated house loses about 5.2 × 107 cal through its outer surfaces on a typical 24-h winter day. What mass of storage rock is needed to provide this amount of heat if it is brought up to initial temperature of 58°C by the solar collectors and the house is maintained at 20°C? (Specific heat of rock is 0.21 cal/g⋅°C.)

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: