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Question
- (three)women push a stalled car. (each) woman pushes with a 425 n force. what is the mass of the car if the car accelerates at 0.85 m/s^2? 361.25 kg 800 kg 1500 kg 425 kg
Step1: Calculate the total force
Since there are three women and each pushes with a force of \(425\ N\), the total force \(F\) is \(F = 3\times425\ N=1275\ N\).
Step2: Use Newton's second law \(F = ma\)
We know \(F = 1275\ N\) and \(a=0.85\ m/s^{2}\). Rearranging the formula \(F = ma\) for mass \(m\), we get \(m=\frac{F}{a}\).
Substitute \(F = 1275\ N\) and \(a = 0.85\ m/s^{2}\) into the formula: \(m=\frac{1275}{0.85}\ kg\).
Calculate \(\frac{1275}{0.85}=\frac{1275\times100}{0.85\times100}=\frac{127500}{85}=1500\ kg\).
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1500 kg