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A point (x,y) in the plane is called a lattice point if both x and y are integers. Find the side length of the largest square that contains exactly three lattice points in its interior. Your answer should be given in exact form, and completely justified.
question1a car moves along a road in such a way that the distance x travelled in a time t is given byx a bt 3where a
A parallel-plate capacitor with plate area3.5cm2 and air-gap separation 0.50?mm is connected to a 12-V battery, How much work was required to pull the plates to their new separation
two positive point charges each 17 lie along the -x axis at x -0.15 and x 0.15 . find the electric field at the
When a converging lens is used in a camera (as in the first drawing), the film must be placed at a distance of 0.240 m from the lens to record an image of an object that is 3.80 m from the lens. How far from the projector lens should the film be pl..
A high diver leaves the end of a 5.0 m high diving board and strikes the water 1.4 s later, 2.6 m beyond the end of the board. determine the maximum height (in meters) above the water reached
transverse waves with a speed of 53.0 ms are to be produced on a stretched string. a 4.45 m length of string with a
an infinite line of charge produces a field of magnitude 4.90 x 104 nc at a distance of1.9m. calculate the linear
An iron cube floats in a bowl of liquid mercury at0o C, By what percent will the fraction of volume submerged change
Pushing on the pump of a soap dispenser compresses a small spring. When the spring is compressed 0.50 cm, its potential energy is 0.0025 J. What is the force constant of the spring?
A red laser from the physics lab is marked as producing 632.8-nm light. When light from this laser falls on two closely spaced slits, What is the wavelength of light produced by the pointer
A 400kg piano slides 4.0 m down a 30 degree incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. Find out the force exerted by the man.
a typical sedan ( like corolla Toyota) has unloaded mass of 1.2x10^3 kg. Determine the effective spring constant "k" for the suspension system for critical damping
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