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A single conservative force = (4.0x - 12) N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 20 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. U(x) = (b) What is the maximum positive potential energy? (c) At what negative value of x is the potential energy equal to zero? (d) At what positive value of x is the potential energy equal to zero?
The length of a simple pendulum is 0.67m, the pendulum bob has a mass of 295g, and it is released at an angle of 12 degrees to the vertical. With what frequency does it oscillate
A projectile is lauched at some speed at an angle of 58 degrees and travels a range of 211 meters. find the maximum vertical displacement for the second angle
An Olympic runner is at the starting gate and hears the starting gun, Using only acceleration, ai, and time, tr, write an expression for the runner's final speed, vr, when he crosses the finish line
A 50.4-g golf ball is driven from the tee with an initial speed of 40.9 m/s and rises to a height of 25.7 m. determine the kinetic energy of the ball at its highest point
If the pressure of the 1.8-cm3 volume is reduced to 1.8 × 10?11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container
During a do-it-yourself roof repair project, you are on the roof of your house and accidentally drop your hammer, What is the horizontal distance traveled by the hammer between the instant it leaves the roof and the instant it hits the ground
A flywheel in a motor is spinning at 560 when a power failure suddenly occurs. The flywheel has mass 40.0 and diameter 75.0. The power is off for 34.0, and during this time the flywheel slows down uniformly due to friction in its axle bearings. Durin..
An electron in an oscilloscope is accelerated as a result of the potential difference between the cathode and anode. Find the voltage drop from cathode to anode
The specific heat of mercury is 138 J/kg Co Determine the latent heat of fusion of mercury using the following calorimeter data: 1 kg of solid Hg at its melting point of -39.0º C is placed in a 0.620 kg aluminium calorimeter with 0.40 kg of water ..
Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 62.9 N, Jill pulls with 87.7 N in the northeast direction, What is the direction of the net force
When a high-power laser is used in the Earth's atmosphere, the electric field associated with the laser beam can ionize the air, What laser beam intensity will produce such a field
A pressure difference of 6.00 x 10^4 Pa is required to maintain a volume flow rate of 0.800 m^3/s for a viscous fluid flowing through a section of cylindrical pipe that has radius 0.180m
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