Chapter 3: Q7P (page 57)

Consider two displacements, one of magnitude $3 m$ and another of magnitude $4 m$ . Show how the displacement vectors may be combined to get a resultant displacement of magnitude (a) $7 m$ , (b) $1 m$ , and (c) $5 m$ .

Short Answer

Expert verified

a) Resultant vector for part a) is $7 m$

b) Resultant vector for part a) is $1 m$

c) Resultant vector for part a) is $5 m$

Step by step solution

To understand the concept

The vectors can be drawn in different directions and using the vector addition method, the resultant vectors for given vectors can be calculated.

Here the resultant vector is shown by,

$\overset{⇀}{R} = \overset{⇀}{A} + \overset{⇀}{B} (i) R = \sqrt{A^{2} + B^{2}} (ii)$

Where, $\overset{⇀}{A}$ and $\overset{⇀}{B}$ are the components which is given as

$\overset{⇀}{A} = 3 M and \overset{⇀}{B} = 4 m$

To represent resultant displacement vector of magnitude7 m

The vectors are in the same direction, so using equation (i), the resultant can be written as,

$R_{1} = A + B = 3 + 4 = 7 m$

To represent resultant displacement vector of magnitude1m

$R_{2} = (- 3) + 4 = 1 m$

To represent resultant displacement vector of magnitude5 m

Using equation (ii) the resultant can be written as

$R_{3} = \sqrt{B^{2} + A^{2}} = \sqrt{4^{2} + 3^{2}} = \sqrt{25} = 5 m$

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Consider two displacements, one of magnitude $3 m$ and another of magnitude $4 m$ . Show how the displacement vectors may be combined to get a resultant displacement of magnitude (a) $7 m$ , (b) $1 m$ , and (c) $5 m$ .

Short Answer

Step by step solution

To understand the concept

To represent resultant displacement vector of magnitude7 m

To represent resultant displacement vector of magnitude1m

To represent resultant displacement vector of magnitude5 m

One App. One Place for Learning.

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Consider two displacements, one of magnitude3mand another of magnitude4m. Show how the displacement vectors may be combined to get a resultant displacement of magnitude (a)7m, (b)1m, and (c)5m.

Short Answer

Step by step solution

To understand the concept

To represent resultant displacement vector of magnitude7 m

To represent resultant displacement vector of magnitude1m

To represent resultant displacement vector of magnitude5 m

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Measurements

Nuclear Physics

Circular Motion and Gravitation

Solid State Physics

Electricity

Study anywhere. Anytime. Across all devices.

Consider two displacements, one of magnitude $3 m$ and another of magnitude $4 m$ . Show how the displacement vectors may be combined to get a resultant displacement of magnitude (a) $7 m$ , (b) $1 m$ , and (c) $5 m$ .