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Gala2k [10]
3 years ago
13

Consider three vectors A⃗ ,B⃗ and C⃗ all lying in the xy plane. Vector A⃗ has length 6.2 and makes an angle of 131 degrees with

the x-axis. Vector B⃗ has length 7.3 and makes an angle of 32 degrees with the x-axis. The vector D⃗ =A⃗ +B⃗ +C⃗ has x-component DX = 3.1 and y-component DY = 6.7 .A) Find the magnitude of the vector C⃗ .B) Find the angle in degrees that vector C⃗ makes measured counterclockwise from the x-axis.
Physics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

A) 2.09

B) -62.09°

Explanation:

If D = A+B+C  then C = D - A - B

Converting both A and B to rectangular coordinates, we get:

A = [-4.07 , 4.68]    and    B = [6.19 , 3.87]

Replacing these values we can get the x and y components of C:

C = [0.98 , -1.85]

Its module is:

|C| = \sqrt{0.98^2+(-1.85)^2}=2.09

Its angle is:

\alpha _c = atan(-1.85/0.98) = -62.09\°

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Step by step Solution

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The first answer "Only the component of the force perpendicular to the motion is used to calculate the work" is wrong because, the force perpendicular to motion does no work.

The second choice "If the force acts in the same direction as the motion, then no work is done" is wrong because the work in the direction of the force is W=F\times d.

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