Question

the kinetic energy possessed by a car moving at a speed of 5 metre per second in 5000 June find out the mass of the car​

Answer 1

Anѕwєr :

$\Huge \boxed{\purple{\sf{ 400 \; kg }}}$

Explαnαtion :

As per the provided information in the given question, we have :

• Speed of the body (v) = 5 m/s
• Kinetic Energy (K.E) = 5000 Joule

$\longrightarrow$ We've been asked to calculate "mass of the car".

$\mapsto \large {\underline { \purple {\sf{ Kinetic \; Energy}}}}$

• Kinetic energy is the energy of a body due to its motion. Its SI unit is Joule. It is measured by calculating the amount to work can be done by it before coming to rest. Kinetic Energy is given by,

$\twoheadrightarrow \boxed{\purple{\sf { K.E = \dfrac{1}{2}mv^2 }}}$

Here,

• K.E denotes Kinetic Energy
• m denotes mass
• v denotes speed or velocity

Now, coming back to the question! Substitute the values in this formula.

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

On substituting values,

$\implies\sf{ 5000 = \dfrac{1}{2} \times m \times (5)^2}$

$\implies\sf{ 5000 = \dfrac{1}{2} \times m \times 25}$

$\implies\sf{ 5000 = \dfrac{25}{2}m}$

$\implies\sf{ 5000 \times 2 = 25m}$

$\implies\sf{ 10000= 25m}$

$\implies\sf{\cancel{ \dfrac{10000}{25}} = m}$

$\implies \boxed{\purple{\sf{ 400 \; kg = m }}}$

∴ The mass of the car is 400 kg.

$\rule{200}2$

Answer 2

kinetic energy =1/2 mv

explanation :

5000=½×m×5²

5000=½× m×25

5000=25/2 m

5000×2=25 m

10000=25m

10000/25= m

400=m

400kg=m