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Physics help needed!!?

0 votes
Find x- and y-components of the following vectors.

Part A
r⃗ = (660m, 43∘ below positive x−axis)

rx,ry = ____, ____ m

Part B
v⃗ = (280m/s, 40∘ above positive x−axis)

(Enter your answers numerically separated by a comma)

vx, vy = ____,____m/s

Part C
a⃗ = (5.4 m/s^2, negative y−direction)
Enter your answers numerically separated by a comma.

ax, ay = ___,___ m/s^2

Best Answer for your help :)
asked Sep 13, 2014 in PHYSICS by anonymous

3 Answers

0 votes

(a)

r = 660m , Ø = 43º

 x-component is image

image = 660 cos 43º

image = 660(0.73)

image = 482.69 m

 y-component is image =- r sinØ

image = -660 sin 43º

 image =- 660(0.682)

 image = - 450.12 m

image , image =482.69,- 450.12 m

answered Sep 18, 2014 by friend Mentor
edited Sep 18, 2014 by bradely
0 votes

(b)

v = 280 m/s  and Ø = 40º

 x-component is image = v cosØ

image = 280 cos ( 40° )

image = 280 (0.766)

image = 214.49 m/s

 y-component is image = v sinØ

 image = 280 sin ( 40° )

 image = 280(0.642)

image = 179.98 m/s

vx, vy = 214.49 ,179.98 m/s

answered Sep 18, 2014 by friend Mentor
edited Sep 18, 2014 by bradely
0 votes

(c)

a = 5.4 m/s²  and Ø is along negitive y-direction means Ø = - 90º with respect x-axis

x-component is image = a cos Ø

image = 5.4 cos (-90º)

image = 5.4 (0)

image = 0

 y-component is image = a sin Ø

 image = 5.4 sin (-90º)

 image = 5.4 (-1)

image = - 5.4 m/s^2

ax, ay = 0, - 5.4 m/s^2

Simply we can say that , there is no x-component because it is going along negitive y-direction 

answered Sep 18, 2014 by friend Mentor
edited Sep 18, 2014 by bradely

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