The linear momentum of a particle of mass 1kg and kinetic energy 2J?

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Answer 1 · 2018-05-02T12:57:05

$2$ kg $*$ m/s

The find linear momentum, we need to multiply mass by velocity in the formula:

$p = m * v$

We can find the velocity of the particle using the formula for kinetic energy which is:

$E_k = (1/2)m * v^2$

Since we are given kinetic energy and mass in the question, we can substitute them into the formula and solve for velocity:

$(2 = (1/2)1 * v^2) * 2$

$(4 = 1 * v^2)/1$

$sqrt(4 = v^2)$

$2 = v$ (Note that velocity cannot be negative)

Now to find momentum, substitute mass and velocity into the momentum formula:

$p = 1$ kg $* 2$ m/s $= 2$ kg $*$ m/s