Asst 19 Query

course Phy 201

??????n????·?K?assignment #019

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019. `query 19

Physics I

03-24-2007

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22:52:08

Query class notes #20

Explain how we calculate the components of a vector given its magnitude and its angle with the positive x axis.

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RESPONSE -->

Vx = magnitude * cos(theta)

vy = magnitude * sin(theta)

confidence assessment: 2

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22:52:20

** STUDENT RESPONSE:

x component of the vector = magnitude * cos of the angle

y component of the vector = magnitude * sin of the angle

To get the magnitude and angle from components:

angle = arctan( y component / x component ); if the x component is less than 0 than we add 180 deg to the solution

To get the magnitude we take the `sqrt of ( x component^2 + y component^2) **

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RESPONSE -->

ok

self critique assessment: 3

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23:26:44

Explain what we mean when we say that the effect of a force is completely equivalent to the effect of two forces equal to its components.

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RESPONSE -->

If the components are the same, the force will be the same.

confidence assessment: 2

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23:26:56

** If one person pulls with the given force F in the given direction the effect is identical to what would happen if two people pulled, one in the x direction with force Fx and the other in the y direction with force Fy. **

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RESPONSE -->

ok

self critique assessment: 3

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23:39:47

Explain how we can calculate the magnitude and direction of the velocity of a projectile at a given point.

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RESPONSE -->

magnitude = sqrt (x^2 + y^2)

direction = If x and y are pos, the angle is arctan( y / x )

If x is negative, the angle is arctan( y/ x ) + 180 deg.

If x is positive and y negative, arctan( y / x) +360

confidence assessment: 2

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23:40:00

** Using initial conditions and the equations of motion we can determine the x and y velocities vx and vy at a given point, using the usual procedures for projectiles.

The magnitude of the velocity is sqrt(vx^2 + vy^2) and the angle with the pos x axis is arctan(vy / vx), plus 180 deg if x is negative. **

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RESPONSE -->

ok

self critique assessment: 3

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00:18:03

Explain how we can calculate the initial velocities of a projectile in the horizontal and vertical directions given the magnitude and direction of the initial velocity.

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RESPONSE -->

make a graph and draw out the x and y components

confidence assessment: 0

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00:19:40

** Initial vel in the x direction is v cos(theta), where v and theta are the magnitude and the angle with respect to the positive x axis.

Initial vel in the y direction is v sin(theta). **

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RESPONSE -->

ok. why is this the initial velocity as opposed to the average velocity?

self critique assessment: 2

For the horizontal motion the initial, average and final velocities are the same, since acceleration is 0.

For the vertical velocity acceleration is not zero, so the initial, final and average velocities will all be different.

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This looks good. See my notes and let me know if you have additional questions.