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

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  1. 10.0 m/s
  2. 11.1 m/s
  3. 11.2 m/s
  4. 12.1 m/s

Answer (Detailed Solution Below)

Option 1 : 10.0 m/s
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Detailed Solution

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CONCEPT:

Kinetic energy

  • The energy possessed by a body due to the virtue of its motion is called kinetic energy.

\(⇒ KE=\frac{1}{2}mv^{2}\)

Where KE = kinetic energy, m = mass and v = velocity

CALCULATION:

Given: Mass of the object (m) = 2000 g = 2 Kg,  and Kinetic energy (KE) = 100 J

  • The kinetic energy of the body is

\(⇒ 100=\frac{1}{2}\times 2\times v^{2}\)

  • The object must be moving at a speed of

\(\Rightarrow v^2=\frac{100 \times 2}{2}= 100\)

v = 10 m/s

The correct option is 1.

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