Kinetic energy of a particle moving in a straight line varies with time t as K =4 t 2. The force acting on the particle -

Question

Kinetic energy of a particle moving in a straight line varies with time t as K =4 t 2. The force acting on the particle - (A) is constant (B) is increasing (C) is decreasing (D) first increase and then decrease

Tardigrade Admin · Accepted Answer

K =4 t 2=(1/2) mv 2 ⇒ v propto t ⇒ a = constant and F = constant

Q. Kinetic energy of a particle moving in a straight line varies with time $t$ as $K = 4 t^{2}$ . The force acting on the particle -

is constant

is increasing

is decreasing

first increase and then decrease

$K = 4 t^{2} = \frac{1}{2} m v^{2}$
$\Rightarrow v \propto t$
$\Rightarrow a =$ constant and
$F =$ constant

Q. Kinetic energy of a particle moving in a straight line varies with time t as K=4t2. The force acting on the particle -