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