Respuesta :

KINETIC ENERGY

Problem:

» A 1kg mass is moving at 1m/s. What is its kinetic energy?

Answer:

  • [tex]\color{hotpink} \bold{0.5 \: J} \\ [/tex]

— — — — — — — — — —

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

— — —

Based on the problem, the givens are:

  • KE (Kinetic energy) = ? (unknown)
  • m (mass) = 1 kg
  • v (velocity) = 1 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 1 \times {(1)}^{2} \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: KE = \frac{1}{2} \times(1 \times 1) \\ \tt \: \: \: KE = \underline{ \boxed{ \blue{ \tt0.5 \: J}}}[/tex]

Therefore, the kinetic energy is 0.5 joules.