Question

3. Find the Kinetic Energy gained by an object of mass
14kg. Which is travelling with a speed of 30m/s.
​

Answer 1

$\huge{\bf{\green{\mathfrak{Question:-}}}}$

$\bullet{\rightarrow}$ Find the Kinetic Energy gained by an object of mass 14 kg. Which is travelling with a speed of 30m/s.

$\huge {\bf{\orange{\mathfrak{Answer:-}}}}$

$\bullet{\rightarrow}$ $\textsf{Mass of the object = 14 kg.}$

$\bullet{\rightarrow}$ $\textsf{Speed of the object = 30 m/s.}$

$\bullet{\rightarrow}$ $\textsf{We know that,}$

$\bullet{\rightarrow}$ $\boxed{\sf Kinetic \: energy \: = \: \dfrac{1}{2}mv^{2} \: J.}$

$\bullet{\rightarrow}$ $\sf \dfrac{1}{2} \: * \: 14 \: * \: 30^{2}$

$\bullet{\rightarrow}$ $\sf \dfrac{14}{2} \: * \: 900$

$\bullet{\rightarrow}$ $\sf 7 \: * \: 900$

$\bullet{\rightarrow}$ $\boxed{\sf 6,300 \: J.}$

$\huge{\bf{\red{\mathfrak{Conclusion:-}}}}$

$\bullet{\rightarrow}$ $\boxed{\therefore{\sf Kinetic \: Energy \: = \: 6,300 \: J.}}$

$\huge{\bf{\purple{\mathfrak{Formulas \: used:-}}}}$

$\bullet{\rightarrow}$ $\sf Kinetic \: energy \: = \: \dfrac{1}{2}mv^{2} \: J.$

$\huge{\bf{\blue{\mathfrak{Extra \: information:-}}}}$

$\bullet{\rightarrow}$ $\boxed{\textsf{Kinetic energy:-}}$

$\bullet{\rightarrow}$ It is is the energy that objects possess by their motion.

$\bullet{\rightarrow}$ $\sf Formula \: = \: \dfrac{1}{2}mv^{2} \: J.$

$\bullet{\rightarrow}$ $\sf{where,}$

$\bullet{\rightarrow}$ $\sf m \: is \: mass$

$\bullet{\rightarrow}$ $\sf v \: is \: the \: speed \: of \: object.$

$\bullet{\rightarrow}$ $\boxed{\textsf{Potential energy :-}}$

$\bullet{\rightarrow}$ Potential energy is the energy held by an object because of its position relative to other objects.

$\bullet{\rightarrow}$ $\sf Formula \: = \: mgh \: J.$

$\bullet{\rightarrow}$ $\sf{where,}$

$\bullet{\rightarrow}$ $\sf m \: is \: mass$

$\bullet{\rightarrow}$ $\sf g \: is \: acceleration \: due \: to \: gravity$

$\bullet{\rightarrow}$ $\sf h \: is \: the \: height \: of \: the \: object.$

Answer 2

Answer:

Given :-

• An object of mass is 14 kg and which is travelling with a speed of 30 m/s.

To Find :-

• What is the kinetic energy of an object.

Formula Used :-

$\longmapsto \sf\boxed{\bold{pink{Kinetic\: Energy =\: \dfrac{1}{2}m{v}^{2}}}}$

where,

• m = Mass
• v = Velocity or Speed

Solution :-

Given :

• Mass = 14 kg
• Speed = 30 m/s

According to the question by using the formula we get,

${:}\mapsto \sf Kinetic\: Energy =\: \dfrac{1}{2} \times 14 \times {(30)}^{2}$

${:}\mapsto \sf Kinetic\: Energy\: =\: \dfrac{1}{2} \times 14 \times 30 \times 30$

${:}\mapsto \sf Kinetic\: Energy\: =\: \dfrac{1}{2} \times 14 \times 900$

${:}\mapsto \sf Kinetic\: Energy =\: \dfrac{1}{\cancel{2}} \times {\cancel{12600}}$

${:}\mapsto \sf Kinetic\: Energy =\: 1 \times 6300$

${:}\mapsto \sf\bold{\red{Kinetic\: Energy =\: 6300\: J}}$

$\therefore$ The kinetic energy of an object is 6300 J.