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Question

An object of mass 1 kg is moving with a velocity 10 m/s. Find the kinetic energy of the object.

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
50 J

Kinetic Energy Calculation for Moving Object

To find the kinetic energy (KE) of an object, we use the following information:

  • Mass (\(m\)) = 1 kg
  • Velocity (\(v\)) = 10 m/s

Physics Formula for Kinetic Energy

The formula to calculate kinetic energy is:

\( KE = \frac{1}{2}mv^2 \)

Step-by-Step Calculation

Substitute the given values into the kinetic energy formula:

  1. Plug in the mass and velocity:

    \( KE = \frac{1}{2} \times (1 \, \text{kg}) \times (10 \, \text{m/s})^2 \)

  2. Calculate the square of the velocity:

    \( (10 \, \text{m/s})^2 = 100 \, \text{m}^2/\text{s}^2 \)

  3. Complete the multiplication:

    \( KE = \frac{1}{2} \times 1 \, \text{kg} \times 100 \, \text{m}^2/\text{s}^2 \)

    \( KE = 0.5 \times 100 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \)

  4. Determine the final kinetic energy:

    \( KE = 50 \, \text{J} \)

    (Note: 1 kg⋅m²/s² is equal to 1 Joule, J)

Result

The kinetic energy of the object is 50 J.

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