Together, Claudia and her bicycle have a mass of 90 kg. What force is needed to give them an acceleration of 2 m/s²? Ignore the effects of air resistance.
Question
Together, Claudia and her bicycle have a mass of 90 kg. What force is needed to give them an acceleration of 2 m/s²? Ignore the effects of air resistance.
Solution
To solve this problem, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration. The formula is:
F = m * a
where: F is the force, m is the mass, and a is the acceleration.
Given in the problem, m = 90 kg (the combined mass of Claudia and her bicycle), and a = 2 m/s² (the acceleration).
Substituting these values into the formula, we get:
F = 90 kg * 2 m/s² = 180 N
So, the force needed to give Claudia and her bicycle an acceleration of 2 m/s² is 180 Newtons.
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