Question

find the kinetic energy of a ball of mass 0.25 kg and moving of a velocity of 0.4m/s​

Answer 1

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• Mass of ball 0.25 kg is moving with a velocity of 0.4 m/s.

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• Kinetic energy of the ball

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

• Mass of the ball = 0.25 kg

• Velocity of the ball = 0.4 m/s

• Kinetic energy = ?

We know that,

$\boxed{\pink{\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: m \: * \: v^2}}$

Substituting the values,

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: 0.25 \: * \: 0.4^2$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: \dfrac{25}{100} \: * \: 0.16$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: \dfrac{25}{100} \: * \: \dfrac{16}{100}$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: \dfrac{\cancel{25}}{100} \: * \: \dfrac{16}{\cancel{100}}$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: \dfrac{1}{\cancel{100}} \: * \: \dfrac{\cancel{16}}{4}$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: \dfrac{1}{25} \: * \: \dfrac{4}{4}$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{2} \: * \: \dfrac{1}{25} \: * \: 1$

• $\sf Kinetic \: energy \: = \: \dfrac{1}{50}$

• $\sf Kinetic \: energy \: = \: 0.02 \: J$

Therefore,

• Kinetic energy of the ball = 0.02 J.

Answer 2

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

Given that:

• Mass of the ball = 0.25 kg

• Velocity of the ball = 0.4 m/s

To find:

• The kinetic energy

Solution:

• The kinetic energy = 0.02 Joules

Using concept:

• Formula to find out the kinetic energy

Using formula:

${\small{\underline{\boxed{\sf{\dfrac{1}{2} \times m \times v^2}}}}}$

Full Solution:

${\small{\underline{\boxed{\sf{\dfrac{1}{2} \times m \times v^2}}}}} \\ \\ :\implies \sf \dfrac{1}{2} \times m \times v^2 \\ \\ :\implies \sf \dfrac{1}{2} \times 0.25 \times 0.4^{2} \\ \\ :\implies \sf \dfrac{1}{2} \times 0.25 \times 0.16 \\ \\ :\implies \sf \dfrac{1}{2} \times 0.04 \\ \\ :\implies \sf \dfrac{1}{2} \times \dfrac{4}{100} \\ \\ :\implies \sf \dfrac{2}{100} \\ \\ :\implies \sf \dfrac{1}{50} \\ \\ :\implies \sf 0.02 \: Joules$

Additional information:

Kinetic energy = Energy posses by a body due to it's motion is called kinetic energy of the body. If a body of mass is moving with speed then kinetic energy of body is ${\bf{\dfrac{1}{2}mv^{2}}}$