A straight-line graph of kinetic energy versus for a particle passes through the…

PHYSICS · Single correct · CBSE · Physics · Work and Energy · Work and Energy

Problem

A straight-line graph of kinetic energy

K

versus

v^{2}

for a particle passes through the points

(v^{2}=16\,\text{m}^{2}\text{/s}^{2},\,K=40\,\text{J})

and

(v^{2}=36\,\text{m}^{2}\text{/s}^{2},\,K=90\,\text{J})

. Using only this information, what is the kinetic energy of the particle when its speed is

12\,\text{m/s}

? (a)

300\,\text{J}

(b)

240\,\text{J}

(c)

360\,\text{J}

(d)

180\,\text{J}