At what height is a body weighing 500g, having a speed of 4m / s, if the total energy of this body is 44J?

Given: m (mass of a given body) = 500 g (in SI m = 0.5 kg); V (speed) = 4 m / s; Epoln (total energy of the body) = 44 J.

Constants: g (acceleration due to gravity) ≈ 10 m / s2.

We calculate the height at which a given body should be located using the equality: Ecomplete = Ek + En = m * V ^ 2/2 + m * g * h, whence m * g * h = Ecomplete – m * V ^ 2/2 , whence h = (Ecomplete – m * V ^ 2/2) / (m * g).

Let’s perform the calculation: h = (44 – 0.5 * 4 ^ 2/2) / (0.5 * 10) = (44 – 4) / 5 = 8 m.

Answer: The given body is at a height of 8 m.