Question

What is the kinetic energy of a 3000kg object moving at a velocity of 300m/s?

Answer 1

Answer:

• 135000000 Joules

Explanation:

Here we are given Mass of the object is 3000 kg and velocity is 300 m/s. and we need to calculate the Kinetic energy.

Formula of Kinetic energy is given by:

$\: \: \: \: \dashrightarrow \: \: \: { \underline{ \boxed{ \sf{KE = \dfrac{1}{2} mv^2 }}}}$

Where,

• m is mass
• v is velocity

On substituting the required values in above formula, we get:

$\\ \: \: \: \dashrightarrow \: \: \: \sf KE = \dfrac{1}{2} \times 3000 \times (300)^2 \\ \\ \\ \: \: \: \dashrightarrow \: \: \: \sf KE = \dfrac{1}{2} \times 3000 \times 90000 \\ \\ \\ \: \: \: \dashrightarrow \: \: \: \sf KE = \dfrac{1} {\cancel{{2}}} \times { \cancel{3000}} \times 90000 \\ \\ \\ \: \: \: \dashrightarrow \: \: \: \sf KE =1500 \times 90000 \\ \\ \\ \: \: \: \dashrightarrow \: \: \: {\underline{\boxed{\sf{ KE =135000000 \: J}}}}$

• Kinetic energy is 135000000 Joules

Answer 2

Answer:

$\sf {\Large{ \purple{The \: kinetic \: energy \: of \: the \: object \: is \: 1.35 \times {10}^{8}J }}}$

Explanation:

$\textsf{ \underline{ \red{ \large{To find :-}}}}$

The kinetic energy of a moving object

$\textsf{ \underline{ \pink{ \large{Given :-}}}}$

Mass of the object (m) = 3000kg

velocity of the object (v) = 300m/s

$\textsf{ \huge{ \underline{ \underline{ \blue{Solution :-}}}}}$

$\sf Kinetic \: energy \: (K.E.) = \frac{1}{2} m {v}^{2} \\ \sf K.E. = \frac{1}{2} \times 3000 \times {300}^{2} \\ \sf K.E. = \frac{1}{2} \times 3000 \times 300 \times 300 \\ \sf K.E. = 3000 \times 300 \times 150 \\ \sf K.E. = 135,000,000 \\ \textsf{(J = joule)} \\ \sf{ \green{ K.E. = 1.35 \times {10}^{8}J }}$