Question

complete the following table.
tap on a table cell to enter or edit its value.

	object	mass (kg)	location	grav. field strength (n/kg)	weight (n)
a	astronaut	65	earth	9.8
b	astronaut	65	earth orbit	9.5	617.5
c	melon	8.4	earth	9.8
d	melon		moon	1.7	14.28
e	hammer	5.2	moon
f	hammer		venus	8.8	45.76
g	astronaut	65	venus		572

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Explanation:

Step1: Recall the formula for weight

The formula relating weight ($W$), mass ($m$), and gravitational field strength ($g$) is $W = m \times g$.

Step2: Calculate weight for Object A

For Object A (Astronaut on Earth), $m = 65$ kg and $g = 9.8$ N/kg.
Using the formula $W = 65 \times 9.8 = 637$ N.

Step3: Calculate weight for Object C

For Object C (Melon on Earth), $m = 8.4$ kg and $g = 9.8$ N/kg.
Using the formula $W = 8.4 \times 9.8 = 82.32$ N.

Step4: Calculate mass for Object D

For Object D (Melon on Moon), $W = 14.28$ N and $g = 1.7$ N/kg.
Rearranging the formula to find mass: $m = \frac{W}{g} = \frac{14.28}{1.7} = 8.4$ kg.

Step5: Calculate weight for Object E

For Object E (Hammer on Moon), $m = 5.2$ kg and $g = 1.7$ N/kg.
Using the formula $W = 5.2 \times 1.7 = 8.84$ N.

Step6: Calculate mass for Object F

For Object F (Hammer on Venus), $W = 45.76$ N and $g = 8.8$ N/kg.
Rearranging the formula to find mass: $m = \frac{W}{g} = \frac{45.76}{8.8} = 5.2$ kg.

Step7: Calculate gravitational field strength for Object G

For Object G (Astronaut on Venus), $m = 65$ kg and $W = 572$ N.
Rearranging the formula to find $g$: $g = \frac{W}{m} = \frac{572}{65} = 8.8$ N/kg.

Answer:

Object	Mass (kg)	Location	Grav. Field Strength (N/kg)	Weight (N)
B	65	Earth Orbit	9.5	617.5
C	8.4	Earth	9.8	82.32
D	8.4	Moon	1.7	14.28
E	5.2	Moon	1.7	8.84
F	5.2	Venus	8.8	45.76
G	65	Venus	8.8	572