QUESTION IMAGE
Question
a worker pushes a load up a gentle ramp. the incline has an ideal mechanical advantage of 10. find the length of the ramp. length = unit 8 ft
Step1: Recall the formula for IMA of an inclined plane
The ideal mechanical advantage (IMA) of an inclined plane is given by the formula \( IMA=\frac{length\ of\ the\ ramp(l)}{height\ of\ the\ ramp(h)} \).
Step2: Identify known values
We know that \( IMA = 10 \) and \( h=8\ ft \). We need to find \( l \).
Step3: Rearrange the formula to solve for \( l \)
From \( IMA=\frac{l}{h} \), we can rearrange it to \( l = IMA\times h \).
Step4: Substitute the known values
Substitute \( IMA = 10 \) and \( h = 8\ ft \) into the formula: \( l=10\times8 = 80\ ft \).
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