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Question
- a grapefruit has a weight on earth of 4.9 newtons. if the acceleration due to gravity is 9.8 m/s², what is the grapefruits mass?
Step1: Recall the formula for weight
Weight \( W = mg\), where \( W\) is weight, \( m\) is mass, and \( g\) is acceleration due to gravity.
Step2: Solve for mass \( m\)
Rearrange the formula to \( m=\frac{W}{g}\). Given \( W = 4.9\space N\) and \( g=9.8\space m/s^{2}\), substitute the values: \( m=\frac{4.9}{9.8}\).
Step3: Calculate the mass
\( m = 0.5\space kg\)
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The grapefruit's mass is \( 0.5\space kg\).