Solved_Examples_for_Chapter_4_Physics_1301_Dr.__Ordonez

Solved_Examples_for_Chapter_4_Physics_1301_Dr.__Ordonez -...

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Solved Examples for Chapter 4 Physics 1301 Professor Carlos R. Ordonez 5. Picture the Problem : The motion of the particle is depicted at right. Strategy: Use the given information to independently write the equations of motion in the x and y directions. There will be a pair of equations for the position of the particle (like equations 4-6) and a pair for the velocity (like equations 4-6) only the acceleration will not be the same as g r . Solution: 1. (a) Write equations 4-6 for the x position of the particle using ( 29 2 ˆ 4.4 m/s = - a x r instead of g r : 2. Now do the same for the y coordinate of the position: 3. (b) Write equations 4-6 for the x component of the velocity using ( 29 2 ˆ 4.4 m/s = - a x r instead of g r : 4. Now do the same for the y component of the velocity: 0 m 6.2 0 6.2 m s s y y y v v a t = + = + = 5. (c) The x -component of the velocity continually increases in the negative direction, so the speed increases with time. Insight: This problem is very much akin to projectile motion, with uniform acceleration in one direction and constant velocity the perpendicular direction. The only difference is the acceleration is 2 4.4 m/s - and is in the x direction. 6. Picture the Problem : The motion of the electron is depicted at right. Strategy: Use the given information to independently write the equations of motion in the x and y directions. There will be a pair of equations for the position of the particle (like equations 4-6) only the acceleration will not be the same as g r . Use the equations of motion to find the requested time and position information. Let the x direction correspond to horizontal, and the y direction to vertical. x v r a r 0 v r v r ( x , y ) 0 v r a r x y 1
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Solution: 1. (a) The horizontal motion is characterized by constant velocity. Apply equation 4-6: 2. (b) Use the time to find the vertical deflection , again
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Solved_Examples_for_Chapter_4_Physics_1301_Dr.__Ordonez -...

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