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Suppose you wish to fabricate a uniform wire from a mass m of a metal with density ρm and resistivity ρ. If the wire is to have a resistance of R and all the metal is to be used, what must be the length and the diameter of this wire? (Use any variable or symbol stated above as necessary.)
A disk of mass m= 5^kg and radius r=0.5 m rolls to the right under the influence of force P= 40N. What is the minimum static coefficient of friction for the disk not to slip?
A merry-go-round at a playground is a circular platform that is mounted parallel to the ground and can rotate about an axis that is perpendicular to the platform at its center. What is the tangential speed of another child
The potential difference between the two plates is 940 V. Determine the magnitude of the charge on the oil drop
A basketball star covers 2.6 m horizontally in a jump to dunk the ball. His motion through space can be modelled precisely as that of a particle at his center of mass. His center of mass is at elevation 1.02m when he leaves the floor. It reaches a..
A large storage tank is filled to a height 81 cm. The tank is punctured with a small hole at a heiht of 38 cm from the bottom of the tank. How far from the tank will the stream land
Multiple-Concept Example 8 provides useful background for part b of this problem. What is the angular displacement (in rad) of each wheel
a 4.6 g bullet leaves the muzzle of a rifle with a speed of 320 ms. what force assumed constant is exerted on the
A cart with mass 220 g moving on a frictionless linear air track at an initial speed of 1.0 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. What is the mass of the second cart
What is the force per unit length felt on a wire carrying 100 A of current due to the Earth's magnetic field, which has a strength of 0.5 G?
A cube of side 2a with a uniform charge distribution ρ is cantered at the origin. What is the dipole moment of the configuration? What is the quadruple moment of the configuration?
In the figure, block 1 has mass m1 = 470 g, block 2 has mass m2 = 510 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.6 cm. When released from rest, block 2 falls 78 cm in 4.6 s without the cord slipping on the pulley. ..
A diver can change his rotational inertia by drawing his arms and legs close to his body in the tuck position. find his angular velocity when he left the diving board
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