A 0.5 kg object is moving with a velocity of 10 m/s. What is its kinetic energy?
Show Hint
\( 25 \, \text{J} \)
- \( 100 \, \text{J} \)
- \( 200 \, \text{J} \)
\( 50 \, \text{J} \)
The Correct Option is A
Solution and Explanation
The kinetic energy (KE) of an object is calculated using the formula KE = \(\frac{1}{2}mv^2\). In this formula, \(m\) represents the object's mass in kilograms, and \(v\) represents its velocity in meters per second.
Given: mass \(m = 0.5 \, \text{kg}\) and velocity \(v = 10 \, \text{m/s}\).
Substitute these values into the formula:
\[ KE = \frac{1}{2} \times 0.5 \, \text{kg} \times (10 \, \text{m/s})^2 \]
Calculate the velocity squared:
\[ (10 \, \text{m/s})^2 = 100 \, \text{m}^2/\text{s}^2 \]
Perform the multiplication and division:
\[ KE = \frac{1}{2} \times 0.5 \times 100 \]
\[ KE = 0.25 \times 100 = 25 \, \text{J} \]
Therefore, the kinetic energy of the object is \( \boxed{25 \, \text{J}} \). This result suggests an inconsistency with the provided solution options.
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