Question

Can somebody please work these questions out for me?.

Answer 1

Answer:

Please find the calculated values entered into the following table;

$\left\begin{array}{ccccc}Object & Mass \ (kg)& Weight \ (N) & Height \ (m)&G.P.E.\\A&5&50&2&100\\B&2&20&6&120\\C&8&80&5&400\\D&20&200&0.6&120\\E&5,000&50,000&2&100,000\\F&0.2&2&10&20\\G&67&670&44&29,480\end{array}$

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;

$\left\begin{array}{ccccc}Object & Mass \ (kg)& Weight \ (N) & Height \ (m)&G.P.E.\\A&5&50&2&100\\B&2&20&6&120\\C&8&80&5&400\\D&20&200&0.6&120\\E&5,000&50,000&2&100,000\\F&0.2&2&10&20\\G&67&670&44&29,480\end{array}$