   Chapter 13, Problem 39P

Chapter
Section
Textbook Problem

The free-fall acceleration on Mars is 3.7 m/s2. (a) What length of pendulum has a period of 1.0 s on Earth? (b) What length of pendulum would have a 1.0-s period on Mars? An object is suspended from a spring with force constant 10.0 N/m. Find the mass suspended from this spring that would result in a period of 1.0 s (c) on Earth and (d) on Mars.

(a)

To determine
The length of a pendulum which will have 1.0s on earth.

Explanation

Given info: The period of the pendulum is 1.0s .

The period of a pendulum is defined by,

T=2πLg

• T is the period
• L is the length of the string
• g is the free fall acceleration

Solving for L

L=T2g4π2

Substituting T=1.0s and g=9.80ms-2 ,

L=(1

b)

To determine
The length of the pendulum which will have T=1.0s on Mars.

(c)

To determine
The mass of an object suspended from a spring on earth which will have T=1.0s on earth.

(d)

To determine
The mass of an object suspended from a spring on earth which will have T=1.0s on mars.

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