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A 0.20-kg particle moves along the x axis under the influence of a conservative force. The potential energy is given by U(x) = (8.0 J/m2)x2 + (2.0 J/m4)x4,
where x is in coordinate of the particle. If the particle has a speed of 5.0 m/s when it is at x = 1.0 m, its speed when it is at the origin is:
a) 0 m/s
b) 2.5 m/s
c) 5.7 m/s
d) 7.9 m/s
e) 11 m/s
Water flows at 5.0;{rm L}/{rm s} through a horizontal pipe that narrows smoothly from 10 cm diameter to 5.0 cm diameter. A pressure gauge in the narrow section reads 50 kPa. What does the other pressure gauge read.
A building has two open doors facing the bay. The walls of the building absorb sound well, so multiple reflections can be ignored. find the distance d between the door centers
A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.75 km/hr. The child is 0.560 km from shore and 0.750 km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximu..
The highest part of a road over the top of a hill follows an arc of a vertical circle of radius 50.0 m. With what minimum speed must you drive
When 22.9 J was added as heat to a particular ideal gas, the volume of the gas changed from 54.3 cm3 to 100 cm3 while the pressure remained at 1.00 atm. By how much did the internal energy of the gas increase
A 23 bullet traveling 245 penetrates a 3.0 block of wood and emerges cleanly at 195 .If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges.
A man uses a tire iron to loosen his lug nuts. The tire iron is 25cm long. The man applies a force of 30N at an angle of 29° to the iron. What is the torque that is applied to the lug nut
A cord is wrapped around the rim of a solid uniform wheel 0.300 in radius and of mass 7.80 . A steady horizontal pull of 40.0 to the right is exerted on cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless bearing..
The primary windings of a transformer, which has an 65% efficiency, are connected to 110 V ac. Calculate the current through the primary windings of the transformer
The index of refraction for crown glass is 1.512 at a wavelength of 660 nm (red), whereas its index of refraction is 1.530 at a wavelength of 410 nm (violet). what is the angle of refraction for each wavelength
A 0.200 kg hammer is moving horizontally at 8.50 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board. Calculate the duration of the impact
A 1250 kg car is moving at 23.5 m/s. Then, 253 kJ of work is done on the car to increase its speed. What will be the car's new speed
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