Final answer:
The weight of the piece of equipment on Jupiter is approximately 200 newtons.
Step-by-step explanation:
To calculate the weight of the piece of equipment on Jupiter, we can use the gravitational force equation: F = mg, where F is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity.
Given that the object weighs 30 newtons on Earth and 75 newtons on Jupiter, we can find the ratio of the acceleration due to gravity on Jupiter to that on Earth:
Ratio = Force on Jupiter / Force on Earth
= 75 N / 30 N
= 2.5
Since weight is directly proportional to the acceleration due to gravity, we can apply this ratio to the weight of the equipment on Earth:
Weight on Jupiter = Weight on Earth * Ratio
= 80 N * 2.5
= 200 N