Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 1, Problem 36P

(a)

To determine

To Write: The dimension of the constants C1 and C2 .

(a)

Expert Solution
Check Mark

Answer to Problem 36P

The dimension of the constant C1 is [L] and C2 is [L][T1] .

Explanation of Solution

Introduction:

Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.

Dimension of mass is [M] , dimension of length is [L] , and dimension of time is [T] .

Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.

Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,

Write the expression for distance.

  x=C1+C2t

Here, x is the distance, t is time, C1 and C2 are constants.

The dimension of x is [L] ; the dimension of C1 is the unit of x. Thus, the dimension of C1 is [L] .

The dimension of t is [T] ; the dimension of C2 is the dimension of x/t . Thus, the unit of C2 is [L][T1] .

(b)

To determine

To Write: The dimension of the constant C1 .

(b)

Expert Solution
Check Mark

Answer to Problem 36P

The dimension of the constant C1 is [L][T2] .

Explanation of Solution

Introduction:

Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.

Dimension of mass is [M] , dimension of length is [L] , and dimension of time is [T] .

Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.

Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,

Write the expression for distance.

  x=12C1t2

Here, x is the distance, t is time and C1 is constant.

The dimension of x is [L] ; the dimension of t is [T] ; the dimension of C1 is the unit of x/t2 . Thus, the dimension of C1 is [L][T2] .

(c)

To determine

To Write: The dimension of the constant C1 .

(c)

Expert Solution
Check Mark

Answer to Problem 36P

The dimension of the constant C1 is [L][T2] .

Explanation of Solution

Introduction:

Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.

Dimension of mass is [M] , dimension of length is [L] , and dimension of time is [T] .

Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.

Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,

Write the expression for distance.

  v2=2C1x

Here, x is the distance, v is velocity and C1 is constant.

The dimension of x is [L] ; The dimension of v is [L][T1] ; the dimension of C1 is the dimension of v2/x . Thus, the dimension of C1 is [L][T2] .

(d)

To determine

To Write: The dimension of the constants C1 and C2 .

(d)

Expert Solution
Check Mark

Answer to Problem 36P

The dimension of C1 is [L] and C2 is [T1] .

Explanation of Solution

Introduction:

Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.

Dimension of mass is [M] , dimension of length is [L] , and dimension of time is [T] .

Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.

Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,

Write the expression for distance.

  x=C1cosC2t

Here, x is the distance, t is time, C1 and C2 are constants.

The dimension of x is [L] ; the dimension of C1 is the unit of x. Thus, the dimension of C1 is [L] .

The dimension of t is [T] ; the dimension of C2 is the dimension of 1/t . Thus, the dimension of C2 is [T1] .

(e)

To determine

To Write: The dimension of the constants C1 and C2 .

(e)

Expert Solution
Check Mark

Answer to Problem 36P

The dimension of the constant C1 is [L][T1] and C2 is [T1] .

Explanation of Solution

Introduction:

Dimension of any physical quantity in physics tells about how any quantity is related to the fundamental quantities of mass, length and time. Dimensions of any quantity is determined by its definition.

Dimension of mass is [M] , dimension of length is [L] , and dimension of time is [T] .

Unit can be defined as the definite amount of quantity used for standard of measurement. The standard of length is metre and similarly for time is second and for mass is kilogram.

Any two quantities having different dimensions can be multiplied but they cannot be added or subtracted. Dimension of two quantities must remain same during addition or subtraction but not during multiplication,

Write the expression for distance.

  v2=2C1v(C2x)2

Here, x is the distance, v is velocity, C1 and C2 are constants.

The dimension of v is [L][T1] ; the dimension of C1 is the unit of v2/v . Thus, the dimension of the constant C1 is [L][T1] .

The dimension of x is [L] ; the dimension of v is [L][T1] ; the dimension of C2 is the dimension of v/x . Thus, the unit of C2 is [T1] .

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