# The body is thrown vertically at a speed of 49 ms. At what height will its kinetic energy be equal to its potential?

December 29, 2020 | education

| To solve this problem, we find the total mechanical energy transferred to the body, it will be equal to the initial kinetic energy.

Eo = mV1 ^ 2/2

We denote the Ek-kinetic energy at the moment when it is equal to the potential

Then

En + Ek = Eo

Moreover, Ek = En, then:

2 * En = Eo

2 * m * g * h = m * V ^ 2/2

4 * m * g * h = m * V ^ 2

Let’s shorten by m:

4 * g * h = V ^ 2

h = V ^ 2 / 4g = 49 * 49 / (4 * 10) = 60m (approximately)

Answer: h = 60m

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