Question

The kinetic energy of a body moving with a speed √2/3 m/sec is 1 joule.
The mass of the body will be?​

Answer 1

Answer:

THE MASS OF THE BODY IS 9g

Explanation:

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Answer 2

Answer :

Mass of the body = 9 kg

Explanation :

Here, in this question we are given the velocity and kinetic energy of a body and we need to calculate the mass of the body. To calculate the mass of the body we will use the formula of kinetic energy.

Formula of kinetic energy :

• KE = ½ mv²

where,

• KE denotes the kinetic energy whose S.I. unit is joule
• m denotes the mass of the body whose S.I. unit is kg
• v denotes the velocity of the body whose S.I. unit is m/s

Solution :

We are given :

• Kinetic energy of the body = 1 J
• Velocity of the body = √2/3 m/s

Need to find :

• Mass of the body = ?

Solution :

$\\ \implies \sf Kinetic ~ energy = \dfrac{1}{2} mv^2$

$\\ \implies \sf 1 = \dfrac{1}{2} \times m \times \bigg[{\dfrac{\sqrt 2}{3}\bigg]}^2$

$\\ \implies \sf 1 = \dfrac{1}{2} \times m \times \dfrac{2}{9}$

$\\ \implies \sf 2 = m \times \dfrac{2}{9}$

$\\ \implies \sf 2 \times \dfrac{9}{2} = m$

$\\ \implies \sf 9 = m$

Therefore, the mass of the body = 9 kg