KINETIC ENERGY
Problem:
» A 2kg mass is moving at 3m/s. What is its kinetic energy?
Answer:
- [tex]\color{hotpink} \bold{9 \: J} \\ [/tex]
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Formula:
To calculate the velocity of a kinetic energy, we can use formula
- [tex] \underline{ \boxed{ \tt KE = \frac{1}{2} m{v}^{2} } }[/tex]
where,
- v is the velocity in m/s
- KE is the kinetic energy in J (joules)
- m is the mass in kg
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Based on the problem, the givens are:
- KE (Kinetic energy) = ? (unknown)
- m (mass) = 2 kg
- v (velocity) = 3 m/s
Solution:
To get the velocity, substitute the givens in the formula above then solve.
[tex] \: \: \tt KE = \frac{1}{2} m{v}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \: KE = \frac{1}{2} \times 2 \times {(3)}^{2} \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: KE = \frac{1}{2} \times(2\times 9) \\ \tt KE = \underline{ \boxed{ \blue{ \tt9 \: J}}}[/tex]
Therefore, the kinetic energy is 9 Joules.
