An object with a mass of 22 kilogram is moving with a velocity of 5 metre per second. What is the kinetic energy possessed by the object?

Introduction / Context:

Kinetic energy is the energy that a body possesses due to its motion. It depends on both the mass of the object and its speed. This question checks if you can apply the standard kinetic energy formula to find the energy of a moving object when its mass and velocity are given.

Given Data / Assumptions:

• Mass m of the object is 22 kilogram.
• Velocity v of the object is 5 metre per second.
• The motion is non relativistic, so classical mechanics applies.
• We are asked to calculate kinetic energy in joule.

Concept / Approach:

The formula for kinetic energy of a body of mass m moving with speed v is KE = (1 / 2) * m * v^2. Here, m is in kilogram and v is in metre per second, so the result will be in joule because 1 joule equals 1 kilogram metre^2 per second^2. We simply substitute the given values and simplify the arithmetic.

Step-by-Step Solution:

Verification / Alternative check:

Another way is to multiply directly: 22 * 25 = 550, then divide by 2 to get 275. Both approaches yield the same result. Dimensional analysis also confirms that kilogram times metre^2 per second^2 gives joule, so the units are consistent.

Why Other Options Are Wrong:

Option B: 110 joule might result from taking half of the mass but forgetting to multiply by v^2 correctly; it is too small compared to the correct value.

Option C: 550 joule corresponds to m * v^2 without dividing by 2, which means the factor 1 / 2 in the formula was omitted.

Option D: 2750 joule is ten times larger than the correct answer and does not arise from any correct interpretation of the given numbers.

Common Pitfalls:

Common mistakes include forgetting to square the velocity, misplacing the factor 1 / 2, or doing incorrect multiplication. Always compute v^2 first, then multiply by mass, then multiply by 1 / 2. Careful stepwise calculation helps prevent arithmetic errors during examinations.

Final Answer:

The kinetic energy of the object is 275 joule.