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1. State Faraday's law in differential form for the general case of an arbitrary electric field. How is it derived from its integral form?
2. What is meant by the net right-lateral differential of the x- and y-components of a vector normal to the z-direction?
3. Give an example in which the net right-lateral differential of Ey and Ez normal to the x-direction is zero, although the individual derivatives are nonzero.
4. If at a point in space By varies with time but Bx and Bz do not, what can we say about the components of E at that point?
A single-stage rocket is in deep space coasting at [velocity (rocket, initial)] = 2.5 × 103 m/s. What is the rocket's speed [Velocity (rocket, final)] after it has lost one-third of its inertia by exhausting burned fuel
A 2000 kg truck has put its front bumper against the rear bumper of a 2500 kg SUV to give it a push. obtain the force of the SUV's bumper on the truck's bumper
A rock of mass 32kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 274N. What is the magnitude of the acceleration of the rock.
A 2.2 gram spider hangs motionless from a 34 centimeter thread, 0.2 millimeter in diameter. Evaluate what is the stress in the thread
A woman stands between a vertical mirror 0.80 m tall and a distant tree whose height is H. She is 2.85 m from the mirror, and the tree is 11.0 m from the mirror. How tall is the tree
A straight horizontal garden hose 37.0 m long with an interior diameter of 2.10 cm is used to deliver 20oC water at the rate of 0.430 liters/s.
An unstable nucleus of mass 2.9 10-26 kg, initially at rest at the origin of a coordinate system, Find the magnitude and direction of the velocity of the third particle
A long, uniform rope with a mass of 0.100 kg per meter lies on the ground. You grab one end of the rope and lift it at the constant rate of 1.20 m/s. Calculate the upward force you must exert at the moment when the top end of the rope is 0.560 m abov..
A solid sphere of mass 4.0 kg and radius 0.12 m starts from rest at the top of a ramp inclined 15' degree and rolls to the bottom. What is the linear speed of the sphere when it reaches the bottom of the ramp
What are magnitude and direction of net electrostatic force
A heat engine operating between 40oC and 380oC has an efficiency 60% of that of a Carnot engine operating between the same temperatures. at what rate does it exhaust heat
A wire is 3.500 m long. After applying a force to one end of the wire, it is now 3.504 m long. Calculate the tensile strain in the wire
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