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Question
angela uses a force of 35 newtons to lift her grocery bag while doing 50 joules of work. how far did she lift the grocery bags? show all work to earn full credit.
Step1: Recall the work formula
The formula for work is \( W = F \times d \), where \( W \) is work, \( F \) is force, and \( d \) is distance. We need to solve for \( d \), so we rearrange the formula to \( d=\frac{W}{F} \).
Step2: Substitute the given values
We know \( W = 50 \) Joules and \( F = 35 \) Newtons. Substituting these into the formula, we get \( d=\frac{50}{35} \).
Step3: Simplify the fraction
Simplifying \( \frac{50}{35} \), we can divide both the numerator and the denominator by 5, resulting in \( \frac{10}{7}\approx1.43 \) meters (rounded to two decimal places).
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The distance Angela lifted the grocery bag is \( \frac{10}{7}\approx1.43 \) meters.