The force in newtons on a particle directed along the x-axis is given by f(x)=exp(−(x/5)+5) for x≥0 where x is in meters. the particle is constrained to move along the x-axis. find the work done in joules on the particle, w, in moving it from x=0 to x=1 using the fact that f=dw/dx. for your reference, 1 joule = 1 newton × 1 meter.

Two conductors, a and b, are each in the shape of a tetrahedron. but of different sizes. they are charged in the following manner: 1. tetrahedron a is charged from an electrostatic generator to charge q. 2. tetrahedron a is briefly touched to tetrahedron b. 3. steps 1 and 2 are repeated until the charge on tetrahedron b reaches a maximum value. if the charge on tetrahedron b was q/4 after the first time it touched tetrahedron a. what is the final charge qbmax on tetrahedron b?