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An aquarium 6 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is1000 kg/m3.)
A. Show how to approximate the required work by a Riemann sum. (Let x be the height in meters below the top of the tank. Enter xi* as xi.)
B. Express the work as an integral.
C. Evaluate the integral.
A vertical solid steel post of diameter d = 24cm and length L = 2.10m is required to support a load of mass m = 8200kg. What is the strain in the post
Show that by choosing a suitable rotating reference frame, you can arrange that the centrifugal force exactly cancels the force .
Laser light of wavelength 6.30x10^2 nm is incident upon two narrow slits separated by 0.17 mm. how far apart are the interference fringes
The figure shows the light intensity on a screen behind a double slit. The slit spacing is 0.20 mm, What is the distance from the slits to the screen
A few bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.3 x 10-8 meter, Find the angular speed of this bacterial motor
It bounces off with the same speed and angle. If the ball is in contact with the wall for 0.175 s, elucidate what is the average force exerted on the ball by the wall?
A lightbulb has a resistance of 175 ? when operating with a potential difference of 210 V across it. What is the current in the lightbulb
A Texas cockroach of mass 0.168 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 15.2 cm, What is the angular speed of the lazy Susan after the cockroach stops
An object weighing 300 N in air is immersed in water after being tied to a string connected to a balance. find the density if the object and the oil
The induced emf is a single loop of wire has a magnitude of 2.36 Vwhen the magnetic flux is changed from 0.912 T X m2 to0.233 T X m2. How much time is required for this changein flux?
a charge of 35.0 nc is placed in a uniform electric field that is directed vertically upward and that has a magnitude
Explain the validation of Newton's laws in an inertial framework by bringing examples of absolute and relative movements.
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