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1. Using the expression for the gradient in polar coordinates (Appendix A), find the gradient of ψ(r,θ) when
Where is the gradient maximum? The terms A and a are constant.
2. Given the following expression for the pressure field where x, y, and z are space coordinates, t is time, and P0, ρ, V∞, and L are constants, find the pressure gradient
What is the strength in air of the electric field at a radialdistance of 0.70-cm from the middleregion of a 6.0-m long straight wirecarrying a uniform charge of 375.0 µC
Find the minimum initial speed of a projectile in order for it to reach a height of 2201 km above the surface of the earth
A 20000kg rocket has a rocket motor that generates 3.0×10^5 N of thrust. What is the rocket's initial upward acceleration
A piece of aluminum has a mass of23 g. If this aluminum were formed into a very thin sheet ofthickness 0.49 mm, find the area of the sheet
Moist air moves over land where the temperature is 68F and r = 0.7. Through contact with the ground the air cools. At what temperature will fog form? Consider constant latent heat of vaporization equal to 2.45 x 10^6 J/kg.
A sledge loaded with bricks has a total mass of 17.5 kg and is pulled at constant speed by a rope inclined at 20.3° above the horizontal. How much work is done by the rope on the sledge
Two blocks sitting on a frictionless table are pushed from the left by a horizontal force. Determine the contact force between the two boxes
A short train (an engine plus four cars) is accelerating at 2.00m/s2. What is the force of the engine on the first car
A thief was trying to pull a 20 kg coffer (a coffer is a box usually used to hold valuables) along an essentially frictionless horizontal surface. What was the work done on the coffer by the rope
A spring is hung from the ceiling. A 0.300 kg block is then attached to the free end ofthe spring. Find the angular frequency of the block's vibrations
To stretch a certain spring by 2.70cm from its equilibrium position requires 8.00J of work. What is the force constant of this spring
Determine the force in each spring and the deflection of node A.
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