Figure 9.27 6
Determine the unknown potential difference (or differences) in each case.
A filament lamp and a 22022 resistor are connected in series to a
battery of e. m.f. 6.0V. The battery has negligible internal resistance.
A high-resistance voltmeter placed across the resistor measures 1.8 V.

Calculate:
athe current drawn from the battery
b the p. d. across the lamp
the total resistance of the circuit
dthe number of electrons passing through the battery in a time
of 1.0 minute.
(The elementary charge is 1.6 x 10-'9C.)

Awater slide of length l has a vertical drop of h. abby's mass is m. an average friction force of magnitude f opposes her motion. she starts down the slide at initial speed vi. use work-energy ideas to develop an expression for her speed at the bottom of the slide. then evaluate your result using unit analysis and limiting case analysis. express your answer in terms of the variables h, m, l, vi, f and appropriate constants. vf v f

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

14. a body is projected with velocity vi from a.at the same time another body is projectedvertically upwards from point b withvelocity v2 lies vertically below the highestpoint. both the bodies collide thenv2÷v1is