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In this chapter we constrained all our hyperplanes to go through the origin. In this exercise, we remove this constraint.How many regions in a plane are created by N lines in general position?
A thin convex lens has focal length 20 cm. An object is placed 40 cm from the lens. What is the magnification of the image
An electron has a de Broglie wavelength ? = 7.0×10?10m, What voltage was needed to accelerate it to this speed and What is its speed
Speedboat A negotiates a curve whose radius is 118 m. Speedboat B negotiates a curve whose radius is 270 m. Each boat experiences the equivalent centripetal acceleration. What is the ratio vA/vB of the speeds of boats.
A 10 kg mass slides 15 meters down the 30 degree incline. The coefficients of friction between the sliding mass and the inclined slope are 3.0 and 0.45 for the kenetic adn static, respectively. Draw a free body diagram of the sliding mass on the i..
To pull a crate of mass m across a horizontal frictionless floor, a worker applies a force F, directed at an angle theta above the horizontal. What work is done on the crate by the worker's force
A bat in a cave emits a sound pulse and receives an echo 0.22 second later. Assuming that the speed of sound is 339 m/s, how far did the sound (the longitudinal wave) travel during this time.
As you stand by the side of the road, a car approaches you at a constant speed, sounding its horn, and you hear a frequency of 76 Hz. What is the speed of the car
Photorefractive keratectomy (PRK) is a laser-based surgery process that corrects near- and farsightedness by removing part of the lens of the eye to change its curvature and hence focal length. What is the energy of a single photon
The electric potential at a position located a distance of 21.3 mm from a positive point charge of 7.90×10-9C and 14.8 mm from a second point charge is 1.18 kV. Compute the value of the second charge.
An incident x-ray photon is scattered from a free electron that is initially at rest. What is the wavelength of the incident photon
A plane travels 1.5 km at angle of 38 degrees to the ground, then changes direction and travels 6.9 km at an angle of 11 degrees to the ground. What is the magnitude of the plane's total displacement? Answer in units of km.
An efficient parcel service wants to speed up its deliveries by dropping parcel into moving tracks. find how long after the track started did the worker wait before dropping the parcel
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