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A two-dimensional object with uniform mass density is in the shape of a thin square and has a mass of 4.21 kg. The sides of the square are each 42.1 cm long. The coordinate system has its origin at the center of the square. A point mass, m, of 4.21·102 g is placed at one corner of the square object, and the assembly is held in equilibrium by positioning the support at position (x,y), as shown in the figure. Find the location of the support.
a) What is this system's x-component of the center of mass?
b) What is this sytstem's y-component of the center of mass?
Two charged plates create a potential difference of 190 V. At a point halfway between the plates an electron is released from rest. What was the initial speed and direction of the proton
A circular plastic disk of radius R, carrying a surface charge density? = ks, is rotating at constant angular velocity, Find the magnetic moment of the rotating disk
How much heat flows from 1.00 kg of water at 36.0°C when it is placed in contact with 1.00 kg of 22°C water in reaching equilibrium
A 5.00 g charged insulating ball hangs on a 27.0 cm long string in a uniform horizontal electric field. Given the charge on the ball is 2.00 ?C , find the strength of the field. The angle that the string makes with the vertical is 8.00° N/C.
Consider an airless, non-rotating planet of mass M and radius R. Calculate the ratio h/R of the projectile's maximum height to the planet's radius
Suppose the rotational kinetic energy of a solid disc is 1000 J when the disk has an angular velocity of 3 rad/s. What is the disk's moment of inertia
State your answer in terms of and Use three significant figures in the numerical coefficient.
Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2?J · s. What is the minimum uncertainty in the duck's speed
Electrons are accelerated through a voltage difference of 145 kV inside a high voltage accelerator tube. What is the final kinetic energy of the electrons
Suppose you consume 2000 Cal of food per day. Note that a food Calorie, with capital C, is one kilocalorie: 1 Cal = 1 kcal. How many watts of heat and work can you do
A diver runs horizontally off the end of a diving board with an initial speed of 1.70 m/s, what is the diver's speed just before she enters the water
Two astronauts of equal mass 70 kg are holding on to opposite ends of a straight rope in space. The length of the rope between them is 14 meters. What is the new angular velocity of the two astronauts
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