Suppose unpolarized light of intensity 150 W/m^{2} falls on the polarizer at an angle 30. What is the light intensity reaching the photocell?

If a tank holds 5000 gallons of water, which drains from the bttomof the tank in 40 minutes, then torricelli's Law gives the volume Vof water remaining in the tank after t minutes ${\displaystyle (1-{\frac{t}{40}}^2)5000=V0\le t\le 40}$.
Find the rate at which water is draining from the tank after (a) 5min, (b) 10 min. At what time is the water flowing out the fastest?the slowest?

A 292 kg motorcycle is accelerating up along a ramp that is inclined 30.0° above the horizontal. The propulsion force pushing the motorcycle up the rampis 3020 N, and air resistance produces a force of 250 N that opposes the motion. Find the magnitude of the motorcycles

Force F = (2.0 N) i - (3.0 N) k acts on a pebble with positionvector r = (O.50 m) j - (2.0 m) k, relative to the origin. What isthe resulting torque acting on the pebble about
a.) the origin and
b.) a point with coordinates (2.0 m, 0, - 3.0 m)?

A block of mass m=2.20 kg slides down a 30 degree incline which is 3.60 m high. At the bottom, it strikes a block of mass=7.00 kg which is at rest on a horizontal surface in the picture. If the collision is elastic, and friction can be ignored, determine (a)the speeds of the two blocks after the collision, and (b) how far back up the incline the smaller mass will go.

A compound consisting of C, H and O only, has a molar mass of 331.5g/mol. Combustion of 0.1000g of this compound caused a 0.2921g increase in the mass of the CO2 absorber and a 0.0951 g increasein the mass of the H2O absorber. What is the empirical formula ofthe compound?
What is ment by absorber ? product?

A major information system has 1140 modules.There are 96 modules that perform control and coordinationfunctions and 490 modules who function depends on prior processing.The system processes approximately 220 data objects that each havean average of three attributes. There are 140 unique data baseitems and 90 different database segments. Finally, 600 modules havesingle entry and exit points. Compute the DSQI for this system

A baton twirler throws a spinning baton directly upward.As it goes up and returns to the twirlers