Aparticle with charge 3 µc is located on the x-axis at the point −10 cm , and a second particle with charge −5 µc is placed on the x-axis at 6 cm . −10−8 −6 −4 −2 2 4 6 8 10 3 µ c − 5 µ c − 7 µ c x → (cm) what is the magnitude of the total electrostatic force on a third particle with charge −7 µc placed on the x-axis at 2 cm ? the coulomb constant is 8.9875 × 109 n · m 2 /c 2 . answer in units of n.

Asmall blob of putty of mass m falls from the ceiling and lands on the outer rim of a turntable of radius r and moment of inertia i0 that is rotating freely with angular speed ω0 about its vertical fixed-symmetry axis. (use any variable or symbol stated above as necessary.)

Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. a small hole is made in the side of each tank at the same depth 1.57 m below the liquid surface, but the hole in tank 2 has 2.49 times the cross-sectional area of the hole in tank 1. (a) what is the ratio ρ1/ρ2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) what is the ratio rv1/rv2 of the volume flow rates from the two tanks? (c) at one instant, the liquid in tank 1 is 14.9 cm above the hole. if the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?

Acar moves at 12m/s and coasts up a hill with a uniform acceleration of -1.6m/s2. how far has it traveled after 6.0s?