An object having 10 kg mass and weights 5 kg on a planet. The value of g at this planet is:

Concept:

To determine the value of gravitational acceleration \( g \) on a planet where an object has a different weight, we need to use the relationship between mass, weight, and gravitational acceleration.

Calculation:

Given:

Mass of the object, \( m = 10 \, \text{kg} \)

Weight of the object on the planet, \( W = 5 \, \text{kgf} \)

1 kgf (kilogram-force) is the force exerted by gravity on a mass of 1 kg.

Weight \( W \) is given by the formula:

\( W = m \cdot g \)

Calculation:

Rearranging the formula to solve for \( g \):

\( g = \frac{W}{m} \)

Substitute the given values:

\( g = \frac{5 \, \text{kgf}}{10 \, \text{kg}} \)

Calculate the value:

\( g = 0.5 \, \text{m/sec}^2 \)

The value of \( g \) on this planet is:

\( 0.5 \, \text{m/sec}^2 \)

The correct option is:

Option 1: \( 0.5 \, \text{m/sec}^2 \)