Question

(1)
A motorbike of mass 200 kg is moving with a velocity of 40 m/s. What will be its Kinetic
energy?​

Answer 1

${\large{\underline{\pmb{\sf{Given...}}}}}$

★ The mass of thee motorbike is 200 kg

★ The motor bike moves with a velocity of  40 m/s.

${\large{\underline{\pmb{\sf{To\; Find...}}}}}$

★ What will be thee kinetic energy of the motor bike.

${\large{\underline{\pmb{\sf{Undrstanding \; the \; question...}}}}}$

☀️ Concept : here we have been provided with the mass of the motor bike which is 200kg and the velocity of the motor bike which is 40 m/s both of them in the terms of system international (S.I Units) and we are asked to find the kinetic energy of the motorbike.

❍ Now let's find the kinetic energy of the motorbike using suitable formulae as per thee given terms and substituting the above given values of mass and acceleration in the formula.

${\large{\underline{\pmb{\sf{Using \; concepts...}}}}}$

✪ Formula to find the kinetic energy of an object is :

$\tt KE = \dfrac{1}{2} \times MV^{2}$

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

★ The kinetic energy of the object is 1,60,000 joules.

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

~As we have to calculate the kinetic energy of the motorbike which is energy possessed by the body due to motion let's use the formula mention below

→ Formula :

$\tt KE = \dfrac{1}{2} \times MV^{2}$

→ Where,

• KE denotes kinetic energy
• M denotes mass
• V denotes velocity

→ Here,

• Mass = 200 kg
• Velocity = 40 m/s

~ Now let's substitute the following values in the formula.

➟ KE = 1/2 MV^2

➟ KE = 1/2 × 200 × 40 × 40

➟ KE = 200 × 40 × 40 / 2

➟ KE = 200 × 1600 / 2

➟ KE =  320000 / 2

➟ KE = 160000 J

• Henceforth the kinetic energy  of the motorbike is 160000 joules

${\large{\underline{\pmb{\sf{More \; to \; know...}}}}}$

${\underline{\underline{\sf{\bigstar{Formulas\; to \; find\; force : }}}}}$

✪ Formulas :

$\circ \; \tt Force = Mass \times Acceleration$

$\circ \; \tt Force = Pressure \times Area$

${\underline{\underline{\sf{\bigstar{Formulas\; to \; find\; Accelration : }}}}}$

✪ Formulas :

$\tt \circ \; a = \dfrac{u - v }{t}$

$\circ \; \tt S = ut + \dfrac{1}{2} at^{2}$

Answer 2

Given:

A motorbike of mass 200 kg is moving with a velocity of 40 m/s.

To find:

Kinetic energy of the object?

Calculation:

Kinetic energy is a sub-type of mechanical energy possessed by an object by the virtue of its motion.

• Let mass be m , velocity be v.

$\rm \therefore \: KE = \dfrac{1}{2} m {v}^{2}$

$\rm \implies \: KE = \dfrac{1}{2} \times 200 \times {(40)}^{2}$

$\rm \implies \: KE = \dfrac{1}{2} \times 200 \times 1600$

$\rm \implies \: KE = 160000 \: joule$

$\rm \implies \: KE = 160\: kilojoule$

So, kinetic energy of bike is 160 kJ.