KINETIC ENERGY
Problem:
» Kinetic energy of 35 J and a mass of 34 kg, how fast is the object moving?
Answer:
- [tex]\color{hotpink}\tt1.435 \: m/s \\ [/tex]
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Formula:
To calculate the velocity of a kinetic energy, we can use formula
- [tex] \underline{ \boxed{ \tt v = \frac{ \sqrt{KE} }{ \frac{1}{2} \times m} }}[/tex]
where,
- v is the velocity in m/s
- KE is the kinetic energy in J (joules)
- m is the mass in kg
Based on the problem, the givens are:
- KE (Kinetic energy) = 35 J
- m (mass) = 34 kg
- v (velocity) = ? (unknown)
Solution:
To get the velocity, substitute the givens in the formula above then solve.
- [tex]\tt v = \frac{ \sqrt{KE} }{ \frac{1}{2} \times m} \\ [/tex]
- [tex]\tt v = \frac{ \sqrt{35} }{ \frac{1}{2} \times 34} \\ [/tex]
- [tex]\tt v = \frac{ \sqrt{35} }{17} \\ [/tex]
- [tex]\tt v = \sqrt{v = 2.0588235294118} [/tex]
- [tex]\tt v = \underline{ \boxed{\blue{\tt1.435 \: m/s}}}[/tex]
Therefore, the velocity is 1.435 m/s.
