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A particle is moving around in a circle and its position is given in polar coordinates as x = Rcos?, and y = Rsin?, where R is the radius of the circle, and ? is in radians. From these equations derive the equation for centripetal acceleration.
A worker on top of a radar tower 22.4 ft high drops a wrench off the tower. What is the speed of the wrench when it hits the ground
A neon sign requires a 13 kV rms voltage. This is to be obtained from a 220 V rms power supply using a single transformer. Find the required turns ratio for the transformer
An immersible heater coil is to be designed to heat an insulated container with 4 liters of distilled water from 20 degrees to 50 degrees C in less than 30 minutes. what is the resistance of the heating coil
An orienter runs the following course: 100 m at 35 degrees, 150 m at 220 degrees, and 50 meters at 170 degrees. find the resultant displacement.
A particle's velocity is described by the function vx= t^2? 9t+4m/s, where t is in s. How many turning points does the particle reach
As a 1240-kg truck travels up a 15.4-m-high hill, the nonconservative forces of friction and the force generated by the engine do work on the truck. determine the change in the truck's kinetic energy
A train has 4 locomotives (73 tons each) and 60 coal cars (42 tons each). The train is going down a 2.4% incline, What is the mass of the entire train
Suppose that a plane is flying due west with an airspeed of 222 km/h. What is the magnitude of the wind velocity
Starting with the three particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.)
A 4.86 g bullet moving with an initial speed of vi = 439 m/s is fired into and passes through a 1.06 kg block. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with the spring constant of 832 N/m.
A 1.30-kg ball, moving to the right at a velocity of +4.52 m/s on a frictionless table, collides head-on with a stationary 8.40-kg ball. Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic
An object with a mass of 0.427kg is attached to a long horizontal spring with a constant of 42.6kg/s2. How long does it take the the particle to move from -0.500m to 0.500m
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