Question

weight on earth in pounds:
125 lbs

weight on earth in newtons:
(hint: multiply your weight in lbs. by 4.5)
562.5 n

location	weight on earth (n)	x	gravitational constant (compared to earths surface)	calculated weight (n)

| the mountains (earth) |

x

0.99

| moon |

x

0.17

| mercury |

x

0.39

| venus |

x

0.85

| mars |

x

0.39

| jupiter |

x

2.87

| saturn |

x

1.32

| uranus |

x

1.23

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Explanation:

Step1: Identify Earth weight in N

From the top, weight on Earth in Newtons is \( 562.5 \) N. So this value is used for all locations.

Step2: Calculate for The Mountains (Earth)

Multiply Earth weight (N) by gravitational constant.
\( 562.5 \times 0.99 = 556.875 \)

Step3: Calculate for Moon

\( 562.5 \times 0.17 = 95.625 \)

Step4: Calculate for Mercury

\( 562.5 \times 0.39 = 220.375 \) (Wait, \( 562.5 \times 0.39 = 562.5\times(0.4 - 0.01)=225 - 5.625 = 219.375 \))

Step5: Calculate for Venus

\( 562.5 \times 0.85 = 478.125 \)

Step6: Calculate for Mars

\( 562.5 \times 0.39 = 219.375 \)

Step7: Calculate for Jupiter

\( 562.5 \times 2.87 = 562.5\times2 + 562.5\times0.87 = 1125 + 489.375 = 1614.375 \)

Step8: Calculate for Saturn

\( 562.5 \times 1.32 = 562.5\times1 + 562.5\times0.32 = 562.5 + 180 = 742.5 \)

Step9: Calculate for Uranus

\( 562.5 \times 0.92 = 562.5\times(0.9 + 0.02)=506.25 + 11.25 = 517.5 \)

Step10: Calculate for Neptune

\( 562.5 \times 1.23 = 562.5\times1 + 562.5\times0.23 = 562.5 + 129.375 = 691.875 \)

Filling the table (Weight on Earth (N) is \( 562.5 \)):

LOCATION	Weight on Earth (N)	×	Gravitational Constant	Calculated Weight (N)
Moon	562.5	× 0.17	0.17	95.625
Mercury	562.5	× 0.39	0.39	219.375
Venus	562.5	× 0.85	0.85	478.125
Mars	562.5	× 0.39	0.39	219.375
Jupiter	562.5	× 2.87	2.87	1614.375
Saturn	562.5	× 1.32	1.32	742.5
Uranus	562.5	× 0.92	0.92	517.5
Neptune	562.5	× 1.23	1.23	691.875

Answer:

The filled table (with Weight on Earth (N) as \( 562.5 \)) and calculated weights as above.