The weight of a 175 kg object in Jupiter is 975 pounds.
The weight of an object is dependent on the mass of the object and the gravitational force. Gravitational force depends on the size of the object. In the case Jupiter, the gravitational force is much larger the that of the Earth because it is a bigger planet. The value of the gravitational force in Jupiter is 24.79 m/s².
To calculate the weight of an object, the equation below is used:
[tex]Weight = mass(in \ kg) \times gravitational \ force (in \ m/s²)[/tex]
For this problem, we are given the mass of the object:
m = 175 kg
Plugging in the value for mass and the gravitational force of Jupiter (24.79 m/s) into the equation, we get:
[tex]Weight = 175 \ kg \ \times \ 24.79 \ \frac{m}{s^2}\\Weight = 4.34 \ \times 10^3 \frac{kg-m}{s^2} = 4.34 \times 10^3 \ N[/tex]
Now that the weight is obtained, it can be converted to the desired unit which is pound (force). To get the equivalent value in pounds, we use the conversion factor: 1 pound = 4.44822 N.
Converting N to pounds:
[tex]weight \ in \ pounds \ =4.34 \times 10^3 \ N \times \frac{1 \ lb}{4.44822 \ N}\\\\\boxed {weight \ in \ pounds \ = 975.278 \ lbs.}[/tex]
The given only has three significant figures, therefore, the final answer must be:
[tex]\boxed {\boxed {weight \ in \ pounds \ = 975 \ lbs.}}[/tex]
Keywords: gravitational force, weight, mass
