Learning goal 1: As Usain Bolt began his world record-breaking 100 m sprint in 2009, the net force on his 94 kg body was 893 N.Calculate his acceleration, showing your working.
Question
Learning goal 1: As Usain Bolt began his world record-breaking 100 m sprint in 2009, the net force on his 94 kg body was 893 N.Calculate his acceleration, showing your working.
Solution
To calculate Usain Bolt's acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be expressed with the formula:
a = F/m
where: a is the acceleration, F is the net force, and m is the mass of the object.
Given in the problem, we have: F = 893 N (net force on Usain Bolt's body) m = 94 kg (Usain Bolt's mass)
Substituting these values into the formula, we get:
a = 893 N / 94 kg = 9.5 m/s²
Therefore, Usain Bolt's acceleration at the beginning of his 100 m sprint in 2009 was 9.5 m/s².
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