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Consider two displacements, one of magnitude 12 m and another of magnitude 16 m. What angle between the directions of this two displacements give a resultant displacement of magnitude (a) 28 m, (b) 4 m, and (c) 20 m.

Question

Consider two displacements, one of magnitude 12 m and another of magnitude 16 m. What angle between the directions of this two displacements give a resultant displacement of magnitude (a) 28 m, (b) 4 m, and (c) 20 m.

check_circleAnswer
Step 1

The expression for the angle,

2
+s5+2ss2cos0
25,82
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2 +s5+2ss2cos0 25,82

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Step 2

Part a)

The required angle is,

0-cos(28)-(12)-(16)''
2(12)(16)
=0°
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0-cos(28)-(12)-(16)'' 2(12)(16) =0°

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Step 3

Part b)

The required ...

0-cas(4)(12)-(16)
2(12)(16)
=1800
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0-cas(4)(12)-(16) 2(12)(16) =1800

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Tagged in

Science

Physics

Vectors and Scalars

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