Question

at how much speed a body of mass 1 kg moves, if it has a kinetic energy of 1 jewel
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Answer 1

Correct Question:-

At how much speed a body of mass 1 kg moves, if it has a kinetic energy of 1 Joule.

Answer:-

$\red{\bigstar}$ Speed will be $\large\leadsto\boxed{\tt\purple{1.414 \: m/s}}$

• Given:-

• Mass of the body = 1kg

• Kinetic Energy of the body = 1J

•To Find:-

• Speed of the body

• Solution:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{K.E = \dfrac{1}{2} mv^2}}}$

where,

• K.E = Kinetic energy

• m = mass of the body

• v = velocity of the body

• Substituting in the Formula:-

➪ $\sf 1 = \dfrac{1}{2} \times 1 \times (v)^2$

➪ $\sf 1 = \dfrac{1}{2} \times (v)^2$

➪ $\sf 1 \times 2 = 1 \times (v)^2$

➪ $\sf 2 = (v)^2$

➪ $\sf v = \sqrt{2}$

★ $\large{\bf\pink{v = 1.414 \: m/s}}$

Therefore, the velocity will be 1.414 m/s.