Question
A 100 kg linebacker is sprinting at a quarterback with a velocity of 8m/s What is his kinetic energy?
Solution
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AdelineElite · Tutor for 8 years
Answer
The kinetic energy (KE) of an object is given by the formula:<br /><br />KE = (1/2) * m * v²<br /><br />where 'm' is the mass and 'v' is the velocity.<br /><br />In this case:<br /><br />* m = 100 kg<br />* v = 8 m/s<br /><br />Plugging these values into the formula:<br /><br />KE = (1/2) * 100 kg * (8 m/s)²<br />KE = 50 kg * 64 m²/s²<br />KE = 3200 kg⋅m²/s²<br /><br />Since 1 Joule (J) is equal to 1 kg⋅m²/s², the kinetic energy is:<br /><br />KE = 3200 J<br /><br />Therefore, the linebacker's kinetic energy is $\boxed{3200 \text{ J}}$.<br />
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