contestada

Leo and david are always competing to see who is the strongest. in one contest, leo lifts 15 boxes, each with a mass of 30 kg, onto a shelf that is 2.3 m high in a time of 5.1 s. david lifts 18 boxes, each having a mass of 27.3 kg, onto a shelf that is 2.5 m high in a time of 5.7 s. which one produces the most power lifting all their boxes?

Respuesta :

To compare the strength of the two we need to find the power deliver by each person.

If a person deliver more power then his strength will be more

Now in order to find the power we can say

[tex]P = \frac{work}{time}[/tex]

in order to define work to move mass to certain height above the ground we can say it is

[tex]W = mgh[/tex]

now we will have

Power of Leo is

[tex]P_1 = \frac{N_1 m_1 g h_1}{t_1}[/tex]

[tex]P_1 = \frac{15* 30* 9.8*2.3}{5.1}[/tex]

[tex]P_1 = 1988.8 Watt[/tex]

Power of David is

[tex]P_2 = \frac{N_2 m_2 g h_2}{t_2}[/tex]

[tex]P_2 = \frac{18* 27.3* 9.8*2.5}{5.7}[/tex]

[tex]P_2 = 2112.15 Watt[/tex]

So here we can say that power of David is more so David is more strong than Leo.

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