An object of mass 2000 g possesses 100 J kinetic energy. The object mu

An object of mass 2000 g possesses 100 J kinetic energy. The object must be moving with a speed of

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10.0 m/s

11.1 m/s

11.2 m/s

12.1 m/s

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC NDA-2 – 2021

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The correct option is A. The kinetic energy (KE) of an object is given by the formula $\text{KE} = \frac{1}{2}mv^2$, where $m$ is the mass and $v$ is the speed. Given $\text{KE} = 100 \, \text{J}$ and $m = 2000 \, \text{g} = 2 \, \text{kg}$, we can solve for $v$.

Substitute the given values into the kinetic energy formula: $100 \, \text{J} = \frac{1}{2} \times (2 \, \text{kg}) \times v^2$. This simplifies to $100 = 1 \times v^2$, so $v^2 = 100$. Taking the square root of both sides gives $v = 10 \, \text{m/s}$ (since speed is a magnitude and must be non-negative).

It is important to ensure that all units are in the standard SI system before calculation. Mass is given in grams and must be converted to kilograms (1 kg = 1000 g). Energy is given in Joules, which is the standard SI unit.

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