If a person weighs 500 N on Earth, what would she weigh on Jupiter, where the acceleration due to gravity is 26 m/s2?
Show all work leading to your answer.
First, we solve for the mass of the person. Because mass of any object is not changing or constant. We use the formula for weight:
W = mg
where
W = weight (N)
m = mass (kg)
g = acceleration due to gravity = 9.8 m/s^2
substituting,
500 = m*(9.8)
m = 500/9.8
m = 51.02 kg
Since g = 26 m/s^2 in Jupiter,
W = mg
W = 51.02 kg * 26 m/s^2
W = 1326.5 N
hope this helps~ `u`
Well, if someone weighs 500 N on Earth, they must be pretty down to earth, or maybe just have a really good appetite for gravity!
Now, onto Jupiter, known for its massive size and equally impressive gravitational pull. With an acceleration due to gravity of 26 m/s², things can get quite heavy there!
To figure out our person's weight on Jupiter, we'll use the equation:
Weight = Mass × Acceleration due to Gravity
On Earth, the acceleration due to gravity is approximately 9.8 m/s², but on Jupiter, it's 26 m/s². So, we need to find the mass of the person.
To calculate the mass, we'll divide the weight on Earth by the acceleration due to gravity on Earth:
Mass = Weight on Earth / Acceleration due to Gravity on Earth
Mass = 500 N / 9.8 m/s²
Now that we have the mass, we can calculate the weight on Jupiter:
Weight on Jupiter = Mass × Acceleration due to Gravity on Jupiter
Weight on Jupiter = Mass × 26 m/s²
I'm not gonna lie, calculating the exact weight requires knowing the mass of the person, which you haven't provided. So, if you can give me the mass, I'll be more than happy to crunch the numbers for you!
To find out the weight of a person on Jupiter, we can use the formula:
Weight = mass × acceleration due to gravity (g)
Given that the weight of the person on Earth is 500 N and the acceleration due to gravity on Jupiter is 26 m/s^2, we need to find the mass of the person.
We can rearrange the formula to solve for mass:
mass = weight / acceleration due to gravity (g)
Substituting the given values:
mass = 500 N / 9.8 m/s^2
Calculating the mass:
mass ≈ 51.02 kg
Now that we know the mass of the person, we can find their weight on Jupiter using the formula mentioned earlier.
Weight on Jupiter = mass × acceleration due to gravity on Jupiter
Weight on Jupiter = 51.02 kg × 26 m/s^2
Calculating the weight:
Weight on Jupiter ≈ 1325.2 N
Therefore, the person would weigh approximately 1325.2 N on Jupiter.
To find out what the person weighs on Jupiter, we need to use the formula:
Weight = Mass * Acceleration due to gravity
First, we need to find the mass of the person. We can do this by using the formula:
Weight = Mass * Acceleration due to gravity
Rearranging the formula, we have:
Mass = Weight / Acceleration due to gravity
Given that the person weighs 500 N on Earth, we can plug in the values:
Mass = 500 N / 9.8 m/s^2
Now we can calculate the mass of the person:
Mass = 51.02 kg (rounded to two decimal places)
Next, we can find the weight of the person on Jupiter by using the same formula:
Weight on Jupiter = Mass * Acceleration due to gravity on Jupiter
Given that the acceleration due to gravity on Jupiter is 26 m/s^2, we can plug in the values:
Weight on Jupiter = 51.02 kg * 26 m/s^2
Finally, we can calculate the weight of the person on Jupiter:
Weight on Jupiter = 1326.52 N (rounded to two decimal places)
Therefore, the person would weigh approximately 1326.52 Newtons on Jupiter.