Math Problem Statement
A 62 kg sprinter starts a race with an acceleration of 4.2 m/s2. What is the net external force on him? Express the numeral of your answer in SI units with 3 or more significant figures.
Solution
To find the net external force acting on the sprinter, we can use Newton's second law of motion:
Where:
- is the net external force,
- is the mass of the sprinter, and
- is the acceleration.
Given:
- ,
- .
Now we calculate the force:
The net external force on the sprinter is .
Would you like more details or have any questions?
Here are 5 related questions to explore:
- How would the net force change if the sprinter’s mass increased by 10%?
- What is the sprinter's velocity after 2 seconds, assuming constant acceleration?
- How much work is done by the net force over 5 meters?
- What is the sprinter’s momentum at a speed of 8 m/s?
- How would air resistance affect the net external force?
Tip: Always keep units consistent when solving physics problems to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Newton's Second Law
Force
Acceleration
Formulas
F = m × a
Theorems
Newton's Second Law of Motion
Suitable Grade Level
Grades 9-12
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