Question
The kinetic energy of an object moving at a speed of 14.2m/s was determined to be 950.0 ). What is the mass of the object? 4.848Kg 66.9Kg 585Kg 9.42 Kg Multiple Choice 1 point
Solution
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JonasVeteran · Tutor for 10 years
Answer
Here's how to solve this problem:<br /><br />**1. Recall the formula for kinetic energy:**<br /><br />Kinetic Energy (KE) = (1/2) * mass (m) * velocity² (v²)<br /><br />**2. Rearrange the formula to solve for mass:**<br /><br />m = 2 * KE / v²<br /><br />**3. Plug in the given values:**<br /><br />* KE = 950.0 J<br />* v = 14.2 m/s<br /><br />m = 2 * 950.0 J / (14.2 m/s)²<br /><br />**4. Calculate the mass:**<br /><br />m = 1900 J / 201.64 m²/s²<br /><br />m ≈ 9.42 kg<br /><br />**Therefore, the correct answer is 9.42 Kg.**<br />
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