Question

A 1 kg mass has a kinetic energy of 1 joule when its speed is

Answer 1

K.E = 1/2 m v2

We'll replace K.E i.e kinectic enerygy by 1 J and mass (m) by 1 (given in the question)

1 = 1/2 * 1 * v2

2 = v2 (take 2 to the other side)

root 2 = v

or 1.4 m/s = v

Answer 2

Answer:

The speed is $1.4 \mathrm{~ms}^{-1}$

Explanation:

• Kinetic energy exists as the energy an object has because of its motion. If we want to accelerate an object, then we must utilize force.
• Velocity exists as a vector quantity. It exists the rate of change in distance. It exists the rate of change of displacement. The speed of an object moving can never be negative. The speed of a moving object can be zero.

Given that,

Mass of body$\mathrm{m}=1 \mathrm{~kg}$

Kinetic energy$=1 \mathrm{~J}$

Velocity v=?

Kinetic energy$=\frac{1}{2} \mathrm{mv}^{2}$

Substituting the given values in the equation:

$1 \mathrm{~J}=\frac{1}{2} \times 1 \times \mathrm{v}^{2}$

$1 \times 2=v^{2}$

$v^{2}=2$

Therefore,

$V=\sqrt{2}$

We get,

$v=1.4 \mathrm{~ms}^{-1}$

Hence speed is $1.4 \mathrm{~ms}^{-1}$.

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