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A particle undergoes two displacements, mea- sured from the positive x-axis, wit

ID: 2127130 • Letter: A

Question

A particle undergoes two displacements, mea- sured from the positive x-axis, with counter- clockwise positive. The first has a magnitude of 11 m and makes an angle of 67degrees with the positive x-axis.  The resultant displacement has a magnitude of 7.3 m directed at an angle of 105degrees from the positive x-axis

A particle undergoes two displacements, mea- sured from the positive x-axis, with counter- clockwise positive. The first has a magnitude of 11 m and makes an angle of 67degrees with the positive x-axis.  The resultant displacement has a magnitude of 7.3 m directed at an angle of 105degrees from the positive x-axis

Explanation / Answer

D1 = 11cos67i + 11sin67j

D1 = 4.298i + 10.125j

D2=?

D = 7.3cos105i + 7.3sin105j

D = -1.889i + 7.051j

D = D1 + D2

D2 = -6.187i -3.074j

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