PHYS 1040 Midterm: example 4 study calculation examples

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rosebee416

4 Jul 2020

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Department

Physics

Course

PHYS 1040

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Professor Rodrigues

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A pointlike projectile of mass m is fired upward from theorigin O. At any time after launch, the position and velocity ofthe projectile are described by the variables x,y, x' and y' (wherex' is the time derivative of x and y' the time derivative of y) oralternatively by the vectors r=ix+jy andv=ix'+jy'.

write the vector angular momentum L and the torqueT about the origin in terms of x,y,x',y', i,j.

<DIV>Suppose in the figure that the four identical currents i = 6 A, into or out of the page as shown, form a square of side 118 cm. What is the force per unit length (magnitude and direction) on the wire in the bottom left hand corner? (N/m) Take the positive y direction as up and the positive x direction as to the right. I do know all of the answers are supposed to be in N/m http://loncapa2.physics.sc.edu/res/sc/gblanpied/courses/usclib/hrw8/hrwpictures/30-42.jpg (a)What is the magnitude of the force per unit length? (b)What is the x component of the force per unit length? (c)What is the y component of the force per unit length? ******** This method was previously submitted and the answers were found incorrect so im reposting. Thanx guys. first find magnetic field. then use F=BiL B=uI/2piR u is 4piX10^-7 I is current, 6am R is distance from between teh wire. u get 1.02X10^-6 from top left or bot right wire. And 7.19X10^-7 for the top right. then plug into equation L is 1 cuz it says unit length. So u get x-component=1.02X10^-6X6+7.19X10^-7X6XCos45=9.17X10^-6 N y-component=-1.02X10^-6X6+7.19X10^-7X6Xsin45=-3.07X10^-6 N Then u use pythragram theorem square root of Fx^2+Fy^2=ur magnitude. which is 1.02X10^-5N. the answer to b, and C is already above. b is Fx or ur x component. c is Fy or ur y component. </DIV>

several projectiles are launched from ground height withthe same launch speeds varying angles between 0 and 90 degrees withthe horizontal. the projectile launched at ___ degrees would remainin the air the longest. the projectile launched at ___ degreeswould have the greatest horizontal displacement. the projectilelaunched at ____ degrees would have the same horizontaldisplacement as the projectile launched at 20degrees.
a.0b.5c.10d.15e.20f.25g.30h.35i.40j.45k.50l.55m.60 n.65 o.70 p.75 q.80r.85s.90 t.none of these suitably fill thisblank

PHYS 1040 Midterm: example 4 study calculation examples

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