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How do we calculate or determine the distances to stars? What units do we use and what are the limitations (if any) of the method used for such calculations?
A balloon is directly west of two observing stations 10 km apart. The angles of elevation of the balloon from the two stations are 17 degrees and 78 degrees. How high is the balloon?
At a certain moment, car A is 0.3 km from the intersection and traveling at 90 km/h while car B is 0.4 km from the intersection and traveling at 80 km/h. How fast is the distance between the cars ch
Find the rate at which the pressure is changing when the temperature is 300 K and increasing at a rate of 0.1 K/s and the volume is 100 L and increasing at a rate of 0.2L/s.
Suppose that you are climbing a hill whose shape is given by the equation z = 1000 - 0.01x2 - 0.02y2 and you are standing at a point with coordinates (60, 100, 764).
The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1, 2, 2) is 120°. Find the
Compute ∂C/∂T, ∂C/∂S, and ∂C/∂D when T = 10 ?, S = 35 parts per thousand, and D = 100 m. Explain the physical significance of these partial derivatives.
A certain ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height rh, where 0 < r < 1. Suppose that the ball is dropped from an initial
The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV = 8.31T, where P is measured in kilopascals, V in liters, and T in kelvins
The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.
What is the probability that an adult male chosen at random is between 65 inches and 73 inches tall?
The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source.
A taxi company charges two dollars for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a function of the d
Describe how the rate of change of T with respect to t varies as t increases. (c) Sketch a graph of the derivative of T.
You are designing a spherical tank to hold the water for a small village in a developing country. The volume of liquid it can hold be compute as v=(ph2(3R-h))/3 .
The sketch shows a conical pendulum. The ball swings in a circular path because of the string attached at the top. The tension T in the string and weight W of the ball are shown by vectors.
Discuss the effects of different floor angles on the distance up the incline that you will have to sit in a movie theatre to maximise your viewing angle. Screen is 2.5m high and 3m from ground.
Assuming the diver took a deep breath (6.0L in her lungs) at 1.0 atm just before entering the water, what will be the volume of air in her lungs when she gets to 10 feet of depth? She does not exhal
A football is inflated to a pressure of 1.00 x 10^3 torr in a room at 25 degrees C. If the game is played at 10 degrees C, what will the pressure in the ball be, neglecting any volume change in the
Where does the kinetic energy of the motorcycle go when the rider brakes to a stop?
Calculate the morality of a solution made by dissolving 0.750 grams of Na2 SO4 in enough water to form exactly 850 mL of solution.
What is the concentration of H+ ions in a solution of hydrocholoric acis that was prepared by diluting 15.0 mL of concentrated (11.6 M) HCL to a filal volume of 500 mL?
If 0.59 mol of H2S is placed in a 3.0 L container, what is the equilibrium concentration of H2 (g) at 700 degrees C?
A hydrogen atom with an electron in its ground state interacts with a photon of light with a wavelength of 1.22 × 10-6 m. Could the electron make a transition from the ground state to a higher e
Thallium's melting point is 304 C, and its boiling point is 1457 C. The specific heat of liquid thallium is 0.13 j/g C. How much heat is needed to change 236 g of solid thallium at 304 C to vapor at