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Question
three objects of different masses are weighed on a newly discovered planet. using the table, determine the weight of a person with a mass of 33 kg on the unknown planet? oa 33 lbs ob 33 n oc 324 n od 528 n
Step1: Calculate the acceleration due to gravity on the planet
We know that \(F = ma\) (Newton's second law, where \(F\) is force, \(m\) is mass, and \(a\) is acceleration). Using object \(A\): \(m = 0.125\space kg\) and \(F=2\space N\). Then \(a=\frac{F}{m}\).
Substitute the values: \(a=\frac{2}{0.125}=16\space m/s^{2}\)
Step2: Calculate the weight (force) of the person
The mass of the person \(m = 33\space kg\) and \(a = 16\space m/s^{2}\). Using \(F=ma\)
Substitute the values: \(F=(33)(16)=528\space N\)
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D. \(528\space N\)