Can somebody please work these questions out for me?.
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Answer:
Please find the calculated values entered into the following table;
[tex]\left\begin{array}{ccccc}Object & Mass \ (kg)& Weight \ (N) & Height \ (m)&G.P.E.\\A&5&50&2&100\\B&2&20&6&120\\C&8&80&5&400\\D&20&200&0.6&120\\E&5,000&50,000&2&100,000\\F&0.2&2&10&20\\G&67&670&44&29,480\end{array}[/tex]
Explanation:
The given parameters are;
The acceleration due to gravity, g ≈ 10 N/kg
The Gravitational Potential Energy, G.P.E. = m × g × h
The weight of the object, W = m × g
∴ G.P.E. = W × h
The table is filled using the above formula for calculations as follows;
For object A, we have;
Weight = 5 kg × 10 N/kg = 50 N
G.P.E. = 50 N × 2 m = 100 J
For object B, we have;
Weight = 2 kg × 10 N/kg = 20 N
G.P.E. = 20 N × 6 m = 120 J
For object C, we have;
Weight = 8 kg × 10 N/kg = 80N
G.P.E. = 80 N × 5 m = 400 J
For object D, we have;
Weight = 20 kg × 10 N/kg = 200 N
G.P.E. = 200 N × 0.6 m = 120 J
For object E, we have;
Weight = 5,000 kg × 10 N/kg = 50,000 N
G.P.E. = 50,000N × 2 m = 100,000 J
For object F, we have;
Weight = 0.2 kg × 10 N/kg = 2 N
G.P.E. = 2 N × 10 m = 20 J
For object G, we have;
Weight = 67 kg × 10 N/kg = 670 N
G.P.E. = 670 N × 44 m = 29,480 J
Therefore, we have the table filled as follows;
[tex]\left\begin{array}{ccccc}Object & Mass \ (kg)& Weight \ (N) & Height \ (m)&G.P.E.\\A&5&50&2&100\\B&2&20&6&120\\C&8&80&5&400\\D&20&200&0.6&120\\E&5,000&50,000&2&100,000\\F&0.2&2&10&20\\G&67&670&44&29,480\end{array}[/tex]