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Find the equations of the tangent lines to the graph of f(x) = sin x at x = 0 and at x = π/3. Use each tangent line to approximate sin(π/6). Would you expect these results to be equally accurate, since they are taken equally far away from x = π/6 but on opposite sides? If the accuracy is different, can you account for the difference?
A 4.3-m-tall, 50-cm-diameter concrete column supports a 1.0×105{\rm kg} load. By how much is the column compressed
An alpha particle is a helium nucleus that consists of two protons bound with two neutrons. An alpha particle moving during a perpendicular magnetic field of 1.5 T experiences an acceleration of 2000 m/s 2 . Determine is the alpha particles speed?
An electron passes through a point 3.27 cm from a long straight wire as it moves at 37.3% of the speed of light, Find the magnitude of the electron\'s acceleration at that point
A 0.028g plastic bead hangs from a lightweight thread. Another bead is fixed in position beneath the point where the thread is tied. If both beads have the same positive charge q, the moveable bead swings out to the position shown in (Figure 1). The ..
A 6.1-kg object with a velocity of 1.4 m/s in the +x-direction makes a head-on elastic collision with a second object of mass 5 kg, initially at rest. What is the final velocity of the second object
A ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over fricionless pulley of negligible mass. Find the tension in the chord and the acceleration of the masses.
A step-up transformer has 50turns on the primary coil and 500 turns on the secondary coil. what input currentand voltage are needed
How much charge passes through the hair dryer. Find the magnitude of the magnetic field at the center of the square.
Two identical point charges (q = +8.30 x 10-6 C) are fixed at opposite corners of a square whose sides have a length of 0.650 meter. Find the speed of the test charge when it reaches the center of the square
The triangular loop of wire in the drawing carries a current of I= 6.91 A. A uniform magnetic field is directed parallel to the side AB of the triangle and has a magnitude of 2.77 T.
german physicist werner heisenberg related the uncertainity of an objects position triangle x to the uncertainity in
A 7.40-nC charge is positioned 1.70 m from a 4.80-nC charge. (a) Find the magnitude of electrostatic force that one particle exerts on the other. (b) Is the force attractive or repulsive.
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