Question
Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.
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Answer to a math question Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.
Andrea
4.583 Answers
To determine the kinetic energy of the baseball, we can use the formula:
KE = \frac{1}{2} mv^2
whereKE m v
Given that the mass of the baseball is 100 grams (which is equal to 0.1 kg) and the speed is 30 m/s, we can substitute these values into the formula:
KE = \frac{1}{2} (0.1 \, \text{kg}) (30 \, \text{m/s})^2
Simplifying the expression within the parentheses first:
KE = \frac{1}{2} (0.1 \, \text{kg}) (900 \, \text{m}^2/\text{s}^2)
Now, we can multiply the numbers outside the parentheses:
KE = \frac{1}{2} (0.1)(900) \, \text{kg} \, \text{m}^2/\text{s}^2
Simplifying further:
KE = 45 \, \text{kg} \, \text{m}^2/\text{s}^2
KE=45J
Answer: The kinetic energy of the baseball is 45 J
where
Given that the mass of the baseball is 100 grams (which is equal to 0.1 kg) and the speed is 30 m/s, we can substitute these values into the formula:
Simplifying the expression within the parentheses first:
Now, we can multiply the numbers outside the parentheses:
Simplifying further:
Answer: The kinetic energy of the baseball is 45 J
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