Question

what is the force that has to be applied to a cart so that 99 j of work is able to move it a distance of 7.7 meters?
report your answer to 2 decimal places. your permitted error is ±0.01 n. if your answer is negative, please make sure to include the negative sign.
answer

Explanation:

Step1: Recall the work formula

Work \( W = F\times d\), where \(W\) is work, \(F\) is force, and \(d\) is distance.
We need to solve for \(F\), so \(F=\frac{W}{d}\).

Step2: Substitute the given values

Given \(W = 99\space J\) and \(d=7.7\space m\).
\(F=\frac{99}{7.7}\)
\(F = 12.857142\cdots\)

Step3: Round to two decimal places

Rounding \(12.857142\cdots\) to two decimal places gives \(F = 12.86\)

Answer:

\(12.86\)