Question

OBJECT OF MASS 6 KG MASS MOVES WITH 10 M/S VELOCITY AND OBJECT OF 12 KG MASS MOVES WITH VELOCITY OF 5M/S WHOSE KINETIC ENERGY IS MORE​

Answer 1

Solution :-

An Object in Motion possesses what is known as the Kinetic Energy of the Object.

An Object of Mass m, moving with Velocity v has a Kinetic Energy of $\bold {\frac{1}{2} mv^2}$.

_____

Kinetic Energy of the Object 1 :-

Mass of the Object, m = 6 kg ;

Velocity of the Object, v = $\bold {10ms^{-1}}$

$\begin {aligned} \therefore \: \: \red {\bold {Kinetic\: Energy, E_k}} & = \red {\bold {\frac{1}{2} mv^2}}\\\\\\& \Rightarrow \frac{1}{2} \times 6 \times (10)^2\\\\\\& \Rightarrow \frac{1}{\cancel 2} \times \cancel 6 \times 100 \\\\\\& = \red {\bold {300\: J}} \end {aligned}$

The Kinetic Energy of the First Object is 300 J.

-----

Kinetic Energy of the Object 2 :-

Mass of the Object, m = 12 kg ;

Velocity of the Object, v = $\bold {5\:ms^{-1}}$

$\begin {aligned} \therefore \: \: \red {\bold {Kinetic\: Energy, E_k}} & = \red {\bold {\frac{1}{2} mv^2}}\\\\\\& \Rightarrow \frac{1}{2} \times 12 \times (5)^2\\\\\\& \Rightarrow \frac{1}{\cancel 2} \times \cancel 12 \times 25 \\\\\\& = \red {\bold {150\: J}} \end {aligned}$

The Kinetic Energy of the Second Object is 150 J.

Hence,

The Object having a Mass of 6 kg, moving with a Velocity of 10 m/s possesses a Greater Kinetic Energy.

-----

#HappyLearning!