What is the weight of a 1500 kg car on Planet X?

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The acceleration of gravity on Planet X is calculated to be approximately 5.7 m/s² based on the force required to lift a 70 kg object. Using this value, the weight of a 1500 kg car on Planet X is initially calculated as 8550 N. However, further adjustments using the formula W = m*g yield a more precise weight of approximately 8571.4 N. Despite these calculations, the website indicates the correct answer is 8565 N, suggesting a need for a slight adjustment in the value of g to 5.71 m/s². The discrepancy may stem from the website's handling of significant figures in its calculations.
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Homework Statement



On Planet X, a 70 kg object can be lifted by a force of 400 N.

a. What is the acceleration of gravity on Planet X?

c. Suppose your car was taken to Planet X. If the car has a mass of 1500 kg, what would its weight be?

Homework Equations



some Formulas I used in solving this:

W = m*g

The Attempt at a Solution



A: W = m*g

400 = 70*g

400/70 = g

g ≈ 5.7 m/s^2

*I checked this and I know that it was correct. So, I used this in the second part of the question as my "g" *

C: W = m*g

W = 1500*5.7

W = 8550 N

*On the website, I put this in the form field and it said it was wrong, So, I got more specific.*

W = 1500*(400/70)

W ≈ 8571.4258571

W ≈ 8571.4 N

*still told me I was wrong. So i tried variations of Significant Digits (8571.43, 8571.426, 8571) all of which, the website said i was wrong. I really would like it if someone could check to make sure that I calculated it right, or if I did something wrong.*
I am teaching myself physics from this website and I am doing well. Although, it is telling me I am wrong, I am not so sure. Of course it could be an error in my calculations but I would like the help of a second pair of eyes. Thanks for taking the time to read this.

The Website Link is : http://library.thinkquest.org/10796/ch4/ch4q.htm
 
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cmNickoli7 said:

Homework Statement



On Planet X, a 70 kg object can be lifted by a force of 400 N.

a. What is the acceleration of gravity on Planet X?

c. Suppose your car was taken to Planet X. If the car has a mass of 1500 kg, what would its weight be?

Homework Equations



some Formulas I used in solving this:

W = m*g

The Attempt at a Solution



A: W = m*g

400 = 70*g

400/70 = g

g ≈ 5.7 m/s^2

*I checked this and I know that it was correct. So, I used this in the second part of the question as my "g" *

C: W = m*g

W = 1500*5.7

W = 8550 N

*On the website, I put this in the form field and it said it was wrong, So, I got more specific.*

W = 1500*(400/70)

W ≈ 8571.4258571

W ≈ 8571.4 N

*still told me I was wrong. So i tried variations of Significant Digits (8571.43, 8571.426, 8571) all of which, the website said i was wrong. I really would like it if someone could check to make sure that I calculated it right, or if I did something wrong.*

I am teaching myself physics from this website and I am doing well. Although, it is telling me I am wrong, I am not so sure. Of course it could be an error in my calculations but I would like the help of a second pair of eyes. Thanks for taking the time to read this.

The Website Link is : http://library.thinkquest.org/10796/ch4/ch4q.htm
Your result looks right.

Try a negative answer.
 
If you look at the source code for the web page, it actually displays the answers :smile:

The answer given is 8565N. Working back, it therefore wants you to use g = 5.71m/s2

(The number of significant figures used for the problems on this page are a bit messed up.)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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