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In Problems 99-100, Show that the curves meet at least once and determine whether the curves are perpendicular at the point of intersection.
A bicycle has wheels with a 30-centimeter radius. If smaller wheels with a 25-centimeter radius are installed, what is the change in linear speed of the bicycle if the wheels rotate at 1 revolution per second?
Distinguish between the Julian and Gregorian calendars
John and Mary are skating at an ice rink. John skates at a constant speed of 6.8 m/s, with respect to the ice surface, directly south. What are the magnitude and direction of Mary's velocity
The speed of sound in air at 0 degrees C is 331 m/s. If the density of air is 1.29 kg/m^3, then what is the bulk modulus of air
two wooden blocks rest on an inclined plane making an angle of 30 degrees to the horizontal. the coefficient of friction between the block and plane for the first uk= 0.20, how fast is each block moving when it reaches the bottom
What is the strength of the central magnetic field? What current would have to flow through a single loop of wire of the same radius to produce the same magnetic field?
(1) A circular wheel has a radius R = 0.45 + or - 0.02 m. The wheel is observed to be rotating uniformly with period T = 2.00 +or- 0.05 s. (i) Compute the frequency with which the wheel spins (ii) Compute the angular speed of the wheel. (iii) Comp..
An arrow is launched from a height of 1.21 m above the ground with an initial speed of 48.3 m/s and an initial angle of 35o above the horizontal. What will be the maximum height the arrow will reach
Two metal balls A and B of negligible radius, connected by a taut nonconducting thread of length 2.40 m, are floating at rest on Space Station Freedom between two metal bulkheads. Ball A carries charge q, and ball B carries charge 2q.
A vacuum cleaner is plugged into a 120.0 V socket and utilizes 3.0 A of current in normal operation when the back emf generated with the electric motor is 76.0 V. Find the coil resistance of the motor.
A 5.8 m diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad/s. What is the angular velocity of the merry-go-round now
A charge +q is located at the origin, while an identical charge is located on the x axis at x = +0.76 m. Where should the third charge be located
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