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Fundamentals Of Physics
Found in: Page 57

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Short Answer

Find the (a)x, (b)y, and (c) zcomponents of the sum of the displacements and whose components in meters are cx=7.4, cy=3.8, cz=6.1; dx=4.4 , dy=2.0, dz=3.3

a) x component of is c+d is 12m

b) y component of is c+d is 5.8 m

c) z component of is c+d is 2.8 m

See the step by step solution

Step by Step Solution

Step 1: To calculate x component in meters

c and d are the displacement vectors. The sum of these vectors gives a resultant. Here the components of the resultant are to be found.

Given are the x, y z, components of the displacements c and d respectively.


The resultant of sum of displacements is given by


Substituting the above components in equation (i), the x component of R can be written as

Rx=7.4+4.4Rx=12 m

Step 2: To calculate y component in meters

Ry=-3.8-2.0Ry=-5.8 m

Step 3: To calculate z component in meters

Rz=-6.1+3.3Rz=-2.8 m

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