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Question
3 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/s²? hint: what is the net force here?
Step1: Calculate the net force
Each woman pushes with a force of \(425\) N. There are \(3\) women. So the net force \(F_{net}=3\times425\) N.
$$F_{net}= 1275\space N$$
Step2: Use Newton's second law \(F = ma\) to find the mass
Newton's second law is \(F=ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the acceleration. We know \(F = 1275\space N\) and \(a=0.85\space m/s^{2}\). Rearranging the formula for \(m\) gives \(m=\frac{F}{a}\).
$$m=\frac{1275}{0.85}$$
$$m = 1500\space kg$$
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\(1500\space kg\)