Question

an object of mass 20kg is moving with a uniform velocity of 6m/s? what is the kinetic energy possessed by the object?​

Answer 1

Answer:

360 Joules

Explanation:

K.E (Kinetic Energy) = 1/2 x m x v x v

= 1/2 x 20kg x 6m/s x 6 m/s

= 10kg x 36m/s

= 360 Joules.

Answer 2

Given :

• Mass of the body = 20 kg

• Velocity of the body = 6 m/s

To find :

Kinetic energy possessed by the body.

Solution :

We know the formula for Kinetic energy i.e

$\boxed{\bf{K.E = \dfrac{1}{2}mv^{2}}}$

Where :-

• m = Mass of the body.
• v = Velocity of the body.

Before moving further,

• The kinetic energy possessed by the body is directly proportional to the mass of the body i.e,

More is the mass of the body, more is the kinetic energy possessed.

Mathematically,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf{K.E \propto m}$

• The kinetic energy possessed by the body is also directly proportional to the square of the velocity of the body.i.e,

More is the velocity of the body, more is the kinetic energy possessed.

Mathematically,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf{K.E \propto v^{2}}$

Now using the formula for Kinetic energy of a body and substituting the values in it, we get :

$:\implies \bf{K.E = \dfrac{1}{2}mv^{2}}$

$:\implies \bf{K.E = \dfrac{1}{2} \times 20 \times 6^{2}}$

$:\implies \bf{K.E = 10 \times 6^{2}}$

$:\implies \bf{K.E = 10 \times 36}$

$:\implies \bf{K.E = 360}$

$\boxed{\therefore \bf{Kinetic\:energy\:(K.E) = 360\:J}}$

Hence, the kinetic energy possessed by the body is 360 J.