Find the north and east components of the displacement from San Francisco to Sacramento shown in Figure 3.57.

Short Answer

Expert verified

The north component of the displacement vector is86.97m, and the east component of the displacement vector is 86.97m.

Step by step solution

01

Defining vector

A vector is a physical quantity that has both magnitude and direction. The vector can be split into two or more scalar components when added, producing the same effect as it produced by a single vector.

02

Determining north component

The north component of displacement from San Francisco to Sacramento is

sn=Ssin(45°)

Here S is the magnitude of the displacement.

Substitute 123 km for S.

sn=123km×sin45°=86.97km

Hence, the north component of the displacement from San Francisco to Sacramento is 86.97km.

03

Determining east component

The east component of displacement from San Francisco to Sacramento is

sE=Scos(45°)

Here S is the magnitude of the displacement.

Substitute 123km for S .

SE=123km×cos(45°)=86.97km

Hence, the east component of the displacement from San Francisco to Sacramento is 86.97km.

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