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Question
the person experiences a reaction force of -100 n. what is the acceleration of the person? remember f = ma 75 kg +0.571 m/s² -0.571 m/s² -1.33 m/s² +1.33 m/s²
Step1: Recall the formula
We know the formula \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration. We need to solve for \( a \), so we can rearrange the formula to \( a=\frac{F}{m} \).
Step2: Identify the values
The force \( F = - 100\space N \) and the mass of the person \( m = 75\space kg \).
Step3: Calculate the acceleration
Substitute the values into the formula: \( a=\frac{- 100}{75}\approx - 1.33\space m/s^{2} \)
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\(-1.33\space m/s^{2}\) (corresponding to the option with \(-1.33\space m/s^{2}\))