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Consider three force vectors F~ 1 with magnitude 52 N and direction 125? , F~ 2 with magnitude 92 N and direction 193? , and F~ 3 with magnitude 71 N and direction 83? . All direction angles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0. What is the magnitude of the resultant vector kF~ k, where F~ = F~ 1 + F~ 2 + F~ 3 ? Answer in units of N.
Using the Rayleigh criterion, one concludes that using fixed wavelength light that it is not possible to resolve details less than about
suppose a gas that absorbs solar radiation has a uniform mixing ratio of 1g kg^-1 and an absorption cross section of 5m^2kg^-1. At what altitude will the maximum rate of energy absorption per unit volume occur
Large electric fields in cell membranes cause ions to move through the cell wall, as we will explore in a later chapter. What is the magnitude of the force on a calcium ion with charge +e
Bar 1 and 2 have equal masses. They are placed on an inclined plane of angle α. The coefficients of friction between the bars and the incline are μ1 = 0.6 and μ2 = 0.2. What is the minimum angle a, at which the bars start sliding down?
A simple circuit is set up that only consists of a 12 V battery connected to a light bulb with a resistance of 9 Ohms. What current flows through the light bulb
consider the cascade of two 300l tanks shown in the figure below. suppose that tank 1 initially contains 300litres of
If the first-order maximum for pure wavelength light falling on a double slit is at an angle of 10.0 degrees, at what angle is the second-order maximum, What is the angle of the first minimum
River Pascal with a volume flow rate of 3.4x10^5 L/s joins with river Archimedes, which carries 1.12x10^6 L/s, to form the Bernoulli River. What is the speed of the water in the Bernoulli River
Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 58.0?. Dog A exerts a force of 260N , and dog B exerts a force of 320N
What effect does increased air pressure at the drill have on drill production? What limitations must be observed in using increased air pressure?
The hemisphere is placed on its flat surface, with the center directly over a 2.5 mm long line drawn on a sheet of paper. What length of line is seen by someone looking perpendicularly down on the hemisphere?
In a reversible process called isothermal expansion, 457 J of heat are transferred into a quantity of gas in an engine from the hot reservoir, while 352 J of heat are transferred out to the cold reservoir. The temperature of the gas is 473 K at the b..
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