Question

A stone of mass 2kg is thrown upwards from the ground with velocity of 4m/s
a , what is the maximum height that the stone reached?

Answer 1

Answer:

1 feet

Explanation:

because of weight

Answer 2

Gɪᴠᴇɴ :

• Mass of a stone 100 g.

$\begin{gathered}\longmapsto\:\bf{Mass\:(m)\:=\:100\:g\:=\:0.1\:kg} \\ \end{gathered}$

$\begin{gathered}\longmapsto\:\bf{Velocity\:(v)\:=\:30\:m/s} \\ \end{gathered}$

Tᴏ Fɪɴᴅ :

• The maximum potential energy gained by the stone.

Cᴀʟᴄᴜʟᴀᴛɪᴏɴ :

We know that,

✯ When body reaches the highest point, it's entire kinetic energy gets converted into potential energy, which is maximum.

Thus,

↝ Kinetic energy of a body is,

$\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{Kinetic\:energy\:=\:\dfrac{1}{2}\:{m}\:{v^2}\:}}}}}} \\ \end{gathered}$

$➛ \begin{gathered}\bf{Kinetic\:energy\:=\:\dfrac{1}{2}\times{0.1}\times{(30)^2}\:} \\ \end{gathered}$

$➛ \begin{gathered}\bf{Kinetic\:energy\:=\:\dfrac{1}{2}\times{0.1}\times{900}\:} \\ \end{gathered}$

$➛ \begin{gathered}\bf{Kinetic\:energy\:=\:\dfrac{1}{2}\times{90}\:} \\ \end{gathered}$

$➛ \begin{gathered}\bf\blue{Kinetic\:energy\:=\:45\:Joules} \\ \end{gathered}$

Hence,

• ★ Here the maximum kinetic energy, i.e. 45 J is converted into potential energy (maximum).

$➙ \begin{gathered}\bf\pink{P.E_{(max^m)}\:=\:45\:Joules} \\ \end{gathered}$

[NOTE : Potential energy is maximum at highest point.]

$\Large\tt{Therefore,}$

The maximum potential energy gain by the stone is 45 J.