Guide To Archery

Double Bow

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If the average force exerted on the arrow by the bow were double, all else remaining the same ...?

An arrow, starting from rest, leaves the bow with a speed of 25.0 m/s.
If the average force exerted on the arrow by the bow were double, all else remaining the same, with what speed would the arrow leave the bow?

Didn't you already ask this?

Work = Change in Kinetic Energy
Fd = ½mv², where v is first speed
(2F)d = ½mV², where V is new speed

Divide equation 2 by equation 1:
2 = V²/v²
2v² = V²
(sqrt2)v = V

========> V = (sqrt2) * 25 <========

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If the average force exerted on the arrow by the bow were double, all else remaining the same ...?

An arrow, starting from rest, leaves the bow with a speed of 25.0 m/s.
If the average force exerted on the arrow by the bow were double, all else remaining the same, with what speed would the arrow leave the bow?

Didn't you already ask this?

Work = Change in Kinetic Energy
Fd = ½mv², where v is first speed
(2F)d = ½mV², where V is new speed

Divide equation 2 by equation 1:
2 = V²/v²
2v² = V²
(sqrt2)v = V

========> V = (sqrt2) * 25 <========

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