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A particle has a position vector given by r = (12t)i ^ + (60t-25t2)j ^ , where r is in meters and t is in seconds. Find the instantaneous-velocity and instantaneous-acceleration vectors as functions of time t.
An object with mass 3.9kg is attached to a spring with spring stiffness constant 230N/m and is executing simple harmonic motion. When the object is 1.7×10^?2m from its equilibrium position, it is moving with a speed of 0.65m/s Calculate the amplitude..
A Lucite planoconvex lens has one flat surface and one with R= 16.3cm. What are the locations of the red and yellow images formed by the lens
An ideal transformer's primary has 2000 turns and secondary has 50 turns. The primary is connected to a source of 120 V, Find the current in the secondary
You have a string with a mass of 0.0141 kg. You stretch the string with a force of 9.09 N, giving it a length of 1.81 m. What is the wavelength of the standing wave
You do 116 J of work while pulling your sister back on a swing, whose chain is 5.0m long, until the swing makes an angle of 32.0° with the vertical
Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 2.36 m/s. What is the height of the hill
As part of a carnival game, a 0.578-kg ball is thrown at a stack of 17.8-cm tall, 0.383-kg objects and hits with a perfectly horizontal velocity of 12.8 m/s. what is the moment of inertia of the object about its center of mass
What is the minimum rate of rotation, in revolutions per minute, required for the spheres to contact the cylinder wall?
When a converging lens is used in a camera (as in the first drawing), the film must be placed at a distance of 0.240 m from the lens to record an image of an object that is 3.80 m from the lens. How far from the projector lens should the film be pl..
The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. What is the total mass of the wire
When one mole of C6H6 is burned, 3.27 MJ of heat is produced. When the heat from burning 7.77 g of C6H6 is added to 5.69 kg of water at 21.0°C, what is the final temperature of the water?
While in church, Peter notices a lamp hung by a light chain to the ceiling. Peter counts 85.0 cycles in 592 seconds. How high is the ceiling above the lamp
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