Aproton with mass 1.67×10⁻²⁷kg is propelled at an initial speed of 3.00×10⁵m/s directly toward a uranium nucleus 5.00 m away. the proton is repelled by the uranium nucleus with a force of magnitude f=α/x², where is the separation between the two objects and α= 2.12×10⁻²⁶ n•m². assume that the uranium nucleus remains at rest. what is the speed of the proton when it is 8.00×10⁻¹⁰m from the the uranium nucleus?

Athin, square metal plate measures 14 cm on each side and has emissivity of 0.60. the plate is heated to a temperature of 745°c. what is the rate at which the plate radiates energy ? the stefan-boltzmann constant is 5.67 × 10-8 w/(m2 ? k4). remember that the plate will radiate energy from both its top and bottom surfaces.

The buildup of charges on an object is called

Now that we have a feel for the state of the circuit in its steady state, let us obtain the expression for the current in the circuit as a function of time. note that we can use the loop rule (going around counterclockwise): e−vr−vl=0. note as well that vr=ir and vl=ldidt. using these equations, we can get, after some rearranging of the variables and making the subsitution x=er−i, dxx=−rldt. integrating both sides of this equation yields x=x0e−rt/l. use this last expression to obtain an expression for i(t). remember that x=er−i and that i0=i(0)=0. express your answer in terms of e, r, and l. you may or may not need all these variables. use the notation exp(x) for ex.