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1. Find the unit vector normal to the plane 4x - 5y + 3z = 60. Then find the distance from the origin to the plane.
2. Write the expression for the differential length vector d l at the point (1, 2, 8) on the straight line y = 2x, z = 4y, and having the projection dx on the x-axis.
3. Write the expression for the differential length vector d l at the point (4, 4, 2) on the curve x = y = z2 and having the projection dz on the z-axis.
Alpha particles (charge = +2e, mass = 6.68* 10^-27 kg) are accelerated in a cyclotron to a final orbit radius of 0.50 m. Determine the kinetic energy of an alpha particle in the final orbit
An object placed 14.6 cm from a concave mirror produces a real image 7.90 cm from the mirror. where is the new image located as measured from the mirror
In the Olympiad of 700 BCE, athletes competing in the standing long jump used handheld weights called halters to lengthen their jumps. What distance would the use of the halters add to his range
What plate separation is required for a parallel plate.
The energy released by nuclear bombs is measured in kiloton (kt) or megaton (Mt) units. One kiloton is a unit of energy released by 1000 tons of trinitrotoluene (TNT). One kiloton is 4.2×1012 joules. The yield of fission bombs is typically between..
The Concorde is 62 m long when its temperature is 23 degrees C. In-flight, the outer skin of this supersonic aircraft can reach 105degrees C due to air friction. The coefficient of linear expansion of the skin is 2.0 x 10^-5 (C degrees)^-1. Find the ..
At a dock, a crane lifts a 1200 kg container 30 m, swings it out over the deck of a frieghter, and lowers the container into the hold of the freighter, which is 10 m below the level of the dock. The acceleration of gravity is 9.8 m/s2. Neglect fri..
One 20-year-old twin brother takes a space trip with a speed of 0.80c for 30 years according to a clock on the spaceship. Upon returning to the Earth, what is his own age and the age of the Earth-based twin brother?
You want to store 10^-5 C of charge on a capacitor, but you only have a 100 V voltage source with which to charge it. What must be the value of the capacitance
Illustrate what is the general direction of the airplane's velocity? east of south, north of west,north of east, or west of south?
Some particle accelerators accelerate particles around in circular paths up to speeds very close to the speed of light. Which radius will be advantageous and why?
A home run just clears a fence 105 m from home plate. The fence is 4.00 m higher than the height at which the batter struck the ball, At what speed did the ball leave the bat
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