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3 years ago

Which of the following would produce the most power?

Physics

1 answer:

Fantom [35]3 years ago

6 0

Answer:

A mass of 10 kilograms lifted 10 meters in 5 seconds.

Explanation:

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

$Power = \frac {Energy}{time}$

But Energy = mgh

Substituting into the equation, we have

$Power = \frac {mgh}{time}$

Given the following data;

Mass = 10kg

Height = 10m

Time = 5 seconds

We know that acceleration due to gravity is equal to 9.8 m/s²

$Power = \frac {10*9.8*10}{5} = 490 Watts$

Hence, a mass of 10 kilograms lifted 10 meters in 5 seconds would produce the most power.

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A 3.59 kg block is released from rest 53.0 m above the ground. When it has fallen 21.3 m, what is its kinetic energy

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<h3><u>Answer:-</u></h3>

$\implies$ 1115.2 Joules

<h3><u>Given :- </u></h3>

$\red{\leadsto}\:$ $\textsf{Height\: at \:rest\:}$ $\sf,h_2= 53.0m$

$\green{\leadsto}\:$ $\textsf{Height\: to\:which\;block\:}$ $\sf,h_1= 21.3$

<h3><u>Solution</u> :-</h3>

$\maltese$ As the block falls , the change in potential energy will be converted into kinetic energy

$\leadsto$ Potential Energy at rest at height, $h_2$ = $\sf mgh_2$

$\leadsto$ Potential Energy when fell at height, $h_1$ = $\sf mgh_1$

$\\$

$\leadsto$ Kinetic energy= Change in Potential energy = = $\sf mgh_2-mgh_1$

$\begin{gathered}\implies\quad \sf mg(h_2-h_1) \\\end{gathered}$

$\begin{gathered}\implies\quad \sf mg(53.0-21.3) \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 3.59 \times 9.8\times (53.0-21.3) \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 3.59 \times 9.8\times 31.7\\\end{gathered}$

$\begin{gathered}\implies\quad \boxed{\sf{1115.2\: Joules}}\\\end{gathered}$

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