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A certain molecule is made up of four atoms. Three of themhave mass M and are located at the vertices of an equilateraltriangle of side a. The fourth atom has mass m and is free to movealong a line perpendicular to the triangle and passing through itscenter. Assume this atom is attracted to the other atoms by a forceproportional to the distance between them. (You can imagine theatom of mass m is attached by 3 springs of force constant k to theatoms of mass M.) Determine the Lagrangian for the system.
A camera uses a biconvex lens made of glass with an index of refraction of 1.60 and has a radius of curvature of 12cm for the 1st surface, What is the focal length of this lens when used in air
An electric field of 11.0 N/C directed due north is superposed on an existing electric field of 15.3 N/C directed due east
In an 'atom smasher', 2 particles collide head on atrelativistic speeds. how fast are the particles moving with respect to each other
A rms AC voltage of 118 V at 60 Hz is applied to an RLC circuit with 11.8 mH inductor, 0.171 µF capacitor, and 43.1 ? resistor in series. What is the power consumed in the circuit
(a) What is the x component of the net electrostatic force on particle 3. (b) What is the y component of the net electrostatic force on particle 3
A combination lock has a 1.5cm -diameter knob that is part of the dial you turn to unlock the lock. What is the most torque you can exert on the knob
A 11.0-g wad of sticky clay is hurled horizontally at a 110-g wooden block initially at rest on a horizontal surface. The clay sticks to the block. obtain the speed of the clay immediately before impact
An energetic father stands at the summit of a conical hill as he spins his 21 child around on a 5.1 cart with a 2.1--long rope. The sides of the hill are inclined at 25 . He keeps the rope parallel to the ground, and friction is negligible. What rope..
suppose that the displacement of your hand is 0.70 m as you throw the ball straight up. How long is the ball is in your hand.
A3.50kg object is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of24.0N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position.
If the person can view the image produced by the microscope with a completely relaxed eye, and the magnification is -4825, what is the focal length of the objective
Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far will he fall
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