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It is almost time for the summer Olympics. The Olympic hammer throw is a throwing event where the object is to throw a heavy metal ball attached to a wire and handle. The name hammer throw comes from an older contest where men threw a sledge hammer. The hammer have different weights, ranging from 16 pounds down to 8 pounds. Imagine there are four hammers to throw: 16, 12, 10, and 8 pounds. If you throw each hammer with the same amount of force, which hammer will move the shortest distance?

A) 8 pounds
B) 10 pounds
C) 12 pounds
D) 16 pounds

Respuesta :

crystianblue

the 16 pound hammer will move the shortest because It weighs the most and the others are weigh less

Answer : The hammer having mass of 16 pounds will move the shortest distance.

Explanation :

According to Newton's second law :

F = m a

Where

m is the mass of an object

a is the acceleration produced

Also,

[tex]a=\dfrac{dv}{dt}[/tex]

And

[tex]v=\dfrac{d}{t}[/tex]

d is the distance traveled by an object.

Force becomes :

[tex]F=\dfrac{m\ d}{t^2}[/tex]

or

[tex]d=\dfrac{F\ t^2}{m}[/tex]

Distance covered is inversely proportional to the mass of hammers.

So, the hammer having maximum mass will move the shortest distance.

Hence, the correct option is (D) " 16 pounds ".

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