Question

If m, p and k respectively denote mass, linear momentum and kinetic energy then we can write ______.

Options

• p = 2mk

• p = `sqrt(2mk)`

• p = `(2m)/k`

• p = `(k)/(2m)`

Answer 1

If m, p and k respectively denote mass, linear momentum and kinetic energy then we can write `bbunderline(p = sqrt(2mk))`.

Explanation:

We know,

k = `1/2 mv^2` and

p = mv

v = `p/m`

Substituting in the kinetic energy formula:

k = `1/2 m (p/m)^2`

k = `(p^2)/(2 m)`

∴ p² = 2mk

p = `sqrt(2mk)`