Equate your weight mg to Newton’s equation for gravitational force,
where M is the mass of Earth and R is Earth’s radius. Show that acceleration of free fall is
To show:The acceleration of free fall is
Explanation of Solution
Given:
Consider the weight of the person is denoted by
Formula used:
The Newton’s equation for gravitational force is,
Here,
The expression for the weight
Here,
Calculation:
Consider a person falls freely on the surface of the Earth. The expression for the weight
The Earth exerts a gravitational pull on the person. The Newton’s equation for gravitational force is,
To find the expression for the acceleration due to gravity of Earth, equate weight of the person with the weight of the person.
Thus, the acceleration of free fall is shown as
Conclusion:
Thus, the acceleration of free fall is shown as
Chapter 13 Solutions
Conceptual Physics: The High School Physics Program
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