Respuesta :
Weight is the force that the gravitational exerts on a body given by the mass multiplied by the gravitational acceleration.
1 pound = 4.448 Newtons
The gravitational acceleration in Jupiter is 24.79 m/s² which is about 2.36 times that of the earth. Mass of a body remains constant everywhere.
Weight = mg
= 175 × 24.79
= 4338.25 Newtons
Then, 4338.25/4.448 = 975.326 pounds
1 pound = 4.448 Newtons
The gravitational acceleration in Jupiter is 24.79 m/s² which is about 2.36 times that of the earth. Mass of a body remains constant everywhere.
Weight = mg
= 175 × 24.79
= 4338.25 Newtons
Then, 4338.25/4.448 = 975.326 pounds
The weight of a 175 kg object in Jupiter is 975 pounds.
Further Explanation
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]
Learn More
- Newton's Laws https://brainly.com/question/3715235
- Gravitational Force https://brainly.com/question/3009841
Keywords: gravitational force, weight, mass