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You use 8,000 joules of energy climbing a hill. The climb takes you 50 seconds. How much power did you exert?


Consider a soot particle of mass msoot = 1.0 nanogram (=1.0 x 10-9 g = 1.0 x 10-12 kg), which corresponds to a diameter of a few microns. Some number of electrons have been added to give the particle a total charge qsoot, suppose the collector has a total charge of qcollector = 1.0 x 10-6 C and is small enough to be treated as a point charge at the rim of the smokestack. (a) if the separation between the collector and the soot particle is r = 0.10 m, what is the value of qsoot so that the electric force exerted on the particle is equal to its weight? (b) How many electrons must be added to the soot particle?



A watervpump lifts water from a level 10 m below the ground. Water is pumped at a rate of 30kg/minute with negligible velocity and friction. Calculate the minimum horsepower the engine should have for this? Use g=9.8 m/s^2


Determine the curl of F which is (∇ × F ) at the point (2, 0, 3) given that



F = ze2xy i + 2xz cosy j+ (x + 2y)k

We have a horizontal spring with a mass attached oscillating with a maximum displacement of A on either side. At which intermediate displacement(s) the kinetic energy would equal the potential energy


A particle starts from rest and moves in a straight line with constant acceleration passing two points A and B, which are 100m apart in 15s. If the velocity of the particle at B is three times its velocity at A, find: (a) the velocity of the particle at A; (b) its acceleration; (c) the distance of A from the starting point.

Find the unit tangent vector, the unit normal vector, the curvature and the radius of curvature of the circle x= a cos theta, y= a sin theta, z=0 at point with parameter theta.

If a potential is given by ax^3+bx+c then what is the condition for equilibrium

A particle has charge -3.00 nC. (a) Find the magnitude

nd direction of the electric field due to this particle at a point

.250 m directly above it. (b) At what distance from this particle

pes its electric field have a magnitude of 12.0 N/C?


1. The electric force between two point charges with a magnitude of 800uC and 900uC is 15 N. How far apart are the two charges in cm?


2. A force of 500 N between two identical point charges is separated by a distance of 47m. Calculate the magnitude of the two point charges.


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