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The vectors A rightarrow and D rightarrow in the figure have the following magni

ID: 1536218 • Letter: T

Question

The vectors A rightarrow and D rightarrow in the figure have the following magnitude: A = 8.05 m and D = 9.6 m (Assume this is a right-handed coordinate system.) Find the magnitude and direction of A rightarrow times D rightarrow find the magnitude and direction of D rightarrow Times A rightarrow. In a rectangular coordinate system a positive point charge q = 7.20 Times 10^-9 placed at the point x = +0.150 m, y = 0, and an identical charge is placed at x = m, y = 0. Find the x- and y components, the magnitude of the electric field at following points. A proton is projected into a uniform electric field that points vertically has magnitude E. The initial velocity of the proton has magnitude v_0 and is an angle a below the horizontal. Find the maximum distance h_max that the proton descends vertically bel elevation. You can ignore gravitational forces. (Use any variable or symbol as necessary.) After what horizontal distance d does the proton return to its original any variable or symbol stated above as necessary.) Sketch the trajectory of the proton. Find the numerical values h_max and d if E = 480 N/C, v_0 = 4.50 and a = 31.0 degree.

Explanation / Answer

Q1)
a) |A X D| = |A|*|D*sin(theta)

= 8.05*9.6*sin(180+53)

= 61.7 m^2

direction : perpendiculary into the page

b)

|D X A| = |A|*|D*sin(theta)

= 8.05*9.6*sin(180-53)

= 61.7 m^2

direction : perpendiculary out of the page