Question

can anyone solve this numerical for me? ans provides with numerrical​

Answer 1

Given Question:

A stone of mass 0.2 kg is thrown vertically upwards with an initial velocity of 5 m/s. Find the kinetic and potential energies it will have when it reaches the highest point.

Solution:

The main concepts used in this question are:

• Kinetic energy
• Potential energy

We can write down the values we know before moving on:

⇒ Mass of the object = 0.2 kg

⇒ Initial velocity = 5 m/s

Kinetic Energy:

At first, we are asked to find the kinetic energy of the object when it reaches the highest point. The kinetic energy of the object refers to the energy acquired by the object when it is in motion.

$\boxed{\sf{Kinetic\:Energy=\dfrac{1}{2}mv^2}}$

Values:

⇒ Mass = 0.2 kg

⇒ Final velocity [v] = 0 (This is because the object reaches the highest point)

Substituting the values in the equation:

$\sf{K.E=\dfrac{1}{2}\times0.2\times0^2}$

$\sf{K.E=0\:J}$

∴ The kinetic energy of the object is 0 J.

Potential energy:

According to the law of conservation of energy, kinetic energy gets converted to potential energy at the highest point.

So:

⇒ Initial kinetic energy + Initial potential energy = Final kinetic energy + Final potential energy

⇒ 1/2 mv² + 0 = 0 + Final potential energy

Therefore,

Final potential energy

$\sf{=\dfrac{1}{2}\times0.2\times5^2}$

$\sf{=\dfrac{1}{2}\times\dfrac{2}{10}\times25}$

$\sf{=\dfrac{25}{10}}$

$\sf{=2.5\:J}$

Hence the potential energy of the body is 2.5 J.

Knowledge Bytes:

→ When an object thrown vertically upwards reaches the highest point, the kinetic energy becomes zero and the potential energy becomes maximum.

→ The potential energy of a body refers to the energy stored inside a body when it is taken up to a certain height.

→ Kinetic energy refers the energy acquired by the body due to its motion.

→ According to the law of conservation of energy, energy can neither be created nor destroyed though energies can change their forms.