Acceleration due to gravity:
The acceleration due to gravity is a measure of how fast an object falls towards the Earth due to the gravitational force. It is denoted by the symbol 'g'. On Earth, the standard value for acceleration due to gravity is approximately 9.8 m/s².

Given that the gravitational force on the imaginary planet is 6 times stronger than that on Earth, we can determine the acceleration due to gravity on that planet.

To find the value of acceleration due to gravity on the imaginary planet, we can use the following relation:

Gravitational force = mass × acceleration due to gravity

Let's assume the acceleration due to gravity on the imaginary planet is 'g_p' and the weight of the object is 'W'.

The gravitational force on the imaginary planet can be calculated as:
Gravitational force on the imaginary planet = mass × acceleration due to gravity on the imaginary planet

Since the gravitational force on the imaginary planet is 6 times stronger than that on Earth, we can write the equation as:
Gravitational force on the imaginary planet = 6 × (mass × acceleration due to gravity on Earth)

Given that the weight of the object is 50 kg, we can equate the gravitational force on the imaginary planet to the weight of the object:
6 × (mass × acceleration due to gravity on Earth) = W

Substituting the values, we get:
6 × (50 kg × 9.8 m/s²) = W

Simplifying the equation, we find:
294 m/s² = W

Therefore, the weight of the object on the imaginary planet is 294 N.

Finally, we can determine the acceleration due to gravity on the imaginary planet by rearranging the equation:
6 × (mass × acceleration due to gravity on Earth) = W
6 × (50 kg × g) = 294 N

Simplifying the equation, we find:
300 kg × g = 294 N

Dividing both sides of the equation by 300 kg, we get:
g = 0.98 m/s²

Therefore, the acceleration due to gravity on the imaginary planet is 0.98 m/s².