Bow & Arrow - Impulse-Momentum Theorem

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In summary, a 64.2kg man fires a .3kg arrow with a velocity of 63m/s while sliding backwards at -.26m/s. Using the equation m1v1 + m2v2 = m1v1' + m2v2', the left side is solved to be 2.208. The velocity of the arrow after firing is still 63m/s and there is no change. Therefore, the man's overall velocity in the x-direction remains the same.
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dandy9
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Homework Statement


A 64.2kg man fires a .3kg arrow. The arrow is measured to have a velocity of 63m/s by a stationary bystander. All these happen while the archer sliding backwards at -.26m/s. What will be his velocity (in the x-direction) after firing this arrow?

Homework Equations


pbefore = pafter


The Attempt at a Solution


I used the eq'n m1v1 + m2v2 = m1v1' + m2v2'
I was able to solve the left side to be 2.208.
But I'm unsure of what to use for v2' on the right side... The arrow surely doesn't still fly at 63m/s right? Nor does it come to rest?

Thank you!
 
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v2' will be 63m/s.why do you have a doubt here. what have you taken as v2
 

What is the Bow & Arrow - Impulse-Momentum Theorem?

The Bow & Arrow - Impulse-Momentum Theorem is a principle in physics that states that the momentum imparted on an arrow by a bow is equal to the impulse given by the bowstring in a given amount of time.

How does the Bow & Arrow - Impulse-Momentum Theorem relate to archery?

In archery, the Bow & Arrow - Impulse-Momentum Theorem is used to understand the relationship between the force applied to the bowstring and the resulting velocity of the arrow. It helps archers determine the best amount of force to apply in order to achieve their desired velocity and distance.

What factors can affect the momentum of an arrow in the Bow & Arrow - Impulse-Momentum Theorem?

The momentum of an arrow in the Bow & Arrow - Impulse-Momentum Theorem can be affected by the mass of the arrow, the force applied by the bowstring, and the amount of time the force is applied. Other factors such as air resistance and wind can also play a role in the momentum of an arrow.

How is the Bow & Arrow - Impulse-Momentum Theorem used in other areas besides archery?

The Bow & Arrow - Impulse-Momentum Theorem is a fundamental principle in physics and is used in various fields such as engineering and sports. It is used to understand and calculate the momentum of objects in motion and how forces can affect their velocity.

What are some real-life applications of the Bow & Arrow - Impulse-Momentum Theorem?

The Bow & Arrow - Impulse-Momentum Theorem has many practical applications, such as in the design and testing of projectiles, in sports like archery and javelin throwing, and in the development of new technologies such as airbags and bulletproof vests.

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